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Economics Economics is divided into three major fields Microeconomics examines behavior of individuals and firms Macroeconomics examines aggregate behavior of broad sectors of the economy Econometrics statistical analysis of economic and financial data 1 Fundamental Principles of Economic Behavior 1. Some choices involve accounting (“explicit”) costs, but all choices involve opportunity costs. Accounting cost is the giving up of A in order to obtain B. Opportunity cost is the failure to obtain C because you obtained B. Economic cost is accounting cost plus opportunity cost. Example A firm hires a worker for $70,000 (including benefits). The firm’s weighted average cost of capital is 15%. The explicit cost of the worker is $70,000 per year. This is what the firm gives up in order to obtain the worker. The opportunity cost of the worker is ($70,000)(0.15) = $10,500. This is the amount of money the firm could have earned, but failed to earn, had the firm invested the $70,000 elsewhere. The economic cost of the worker is $70,000 + $10,500 = $80,500. 2 Fundamental Principles of Economic Behavior 1. Some choices involve accounting (“explicit”) costs, but all choices involve opportunity costs. 2. People make decisions at-the-margin. Example A firm spends $100 million on building a new factory. The amortized cost of the factory is $10 million annually. The new factory will cost $8 million to operate annually. The factory is expected to bring in an additional $25 million in revenue annually. After the factory is completed, economic conditions change such that the expected revenue to be generated by the factory drops to $5 million. Should the firm operate or shut-down the factory (note: shutting down does not recoup the $100 million cost of the factory)? 3 Fundamental Principles of Economic Behavior 1. Some choices involve accounting (“explicit”) costs, but all choices involve opportunity costs. 2. People make decisions at-the-margin. Example Some managers will be tempted to operate the factory because of the $100 million invested. This is called the sunk cost fallacy. The sunk cost fallacy arises when one fails to make decisions at-the-margin. A decision at-the-margin looks only at changes given current conditions. In this case, the given condition is that the factory exists. The choice to operate or not is irrelevant to the $100 million investment. Operate the factory Annual profit = $5 million – $8 million – $10 million = – $13 million Shutdown the factory Annual profit = $0 million – $0 million – $10 million = – $10 million 4 Fundamental Principles of Economic Behavior 1. Some choices involve accounting (“explicit”) costs, but all choices involve opportunity costs. 2. People make decisions at-the-margin. 3. People respond to incentives. Where people are concerned, we call this utility maximization. Where firms are concerned, we call this profit maximization. Example Stockholders can mitigate portfolio risk by diversifying their stock holdings. Therefore, they will want to hold individual stocks that have greater expected returns and greater risks rather than individual stocks that have lesser expected returns and lesser risks. As a result, stockholders want CEO’s to take risks in pursuit of greater profits. 5 Fundamental Principles of Economic Behavior 1. Some choices involve accounting (“explicit”) costs, but all choices involve opportunity costs. 2. People make decisions at-the-margin. 3. People respond to incentives. Problem If a risk goes bad, the CEO will be fired CEO has incentive not to take risks. How can stockholders motivate CEO’s to take risks? “Golden parachute” – guarantee the CEO that, in the event the CEO is fired, CEO will receive a large lump-sum payment from the company. 6 Fundamental Principles of Economic Behavior 1. Some choices involve accounting (“explicit”) costs, but all choices involve opportunity costs. 2. People make decisions at-the-margin. 3. People respond to incentives. Other Examples • Soviet nail manufacturers produced huge, multi-ton nails. • In Russia, dead light bulbs sold for more than live light bulbs. • Traffic monitoring devices reduce side-impact, but cause rear-end collisions. 7 Fundamental Principles of Economic Behavior 1. Some choices involve accounting (“explicit”) costs, but all choices involve opportunity costs. 2. People make decisions at-the-margin. 3. People respond to incentives. 4. Exchange is (usually) not a zero-sum game. Zero-sum game: A situation in which what one person gains, the other loses. In an exchange, both parties can end up better off than they were at the outset. Example Person A owns a car that he would like to sell. Person A has full knowledge of the condition of the car. Given his need to drive, desire for style/comfort, etc., Person A places a subjective value of $10,000 on the car. This means that Person A would accept nothing less than $10,000 in exchange for the car. 8 Fundamental Principles of Economic Behavior 1. Some choices involve accounting (“explicit”) costs, but all choices involve opportunity costs. 2. People make decisions at-the-margin. 3. People respond to incentives. 4. Exchange is (usually) not a zero-sum game. Example Person B also has full knowledge of the condition of the car. Given her need to drive, etc., Person B places a subjective value of $12,000 on the car. This means that Person B would pay any price up to, but not more than, $12,000 in exchange for the car. 9 Fundamental Principles of Economic Behavior 1. Some choices involve accounting (“explicit”) costs, but all choices involve opportunity costs. 2. People make decisions at-the-margin. 3. People respond to incentives. 4. Exchange is (usually) not a zero-sum game. Example A reservation price is the minimum price the seller is willing to accept or the maximum price the buyer is willing to pay. Seller’s reservation price = $10,000 Buyer’s reservation price = $12,000 If Person B pays $11,000 for the car, Person B gains $1,000 of value ($12,000 car value less $11,000 price), and Person A gains $1,000 of value ($11,000 price less $10,000 car value). 10 Fundamental Principles of Economic Behavior 1. Some choices involve accounting (“explicit”) costs, but all choices involve opportunity costs. 2. People make decisions at-the-margin. 3. People respond to incentives. 4. Exchange is (usually) not a zero-sum game. 5. The world is non-linear. Assuming that the world is linear results in erroneous expectations. Example A firm employs 100 workers who, together, produce 100,000 bottles of beer daily. Linear assumption: 200 workers will produce 200,000 bottles of beer daily. Non-linear reality: Factory cannot accommodate 200 workers. Overcrowding puts downward pressure on output 200 workers produce only 140,000 bottles. 11 Fundamental Principles of Economic Behavior 1. Some choices involve accounting (“explicit”) costs, but all choices involve opportunity costs. 2. People make decisions at-the-margin. 3. People respond to incentives. 4. Exchange is (usually) not a zero-sum game. 5. The world is non-linear. Linear assumption: Double the workers and the factory size to produce 200,000 bottles of beer daily. Non-linear reality: Managers are limited in the number of workers they can manage. Without adding an extra layer of management, inefficiencies put downward pressure on output doubled workers and factory space produce only 180,000 bottles. 12 Terminology Product A good or service. Good An object that is desirable. Durable good A good that is consumed over a long period of time. Service An action that is desirable. Attributes Color, taste, smell, size, price, durability, etc. Salient attributes are attributes that are important to the consumer. Brand A variety of a product identified from other varieties by a commercial name and/or other distinctive attributes. Consumer One who desires to purchase a product. End-user A consumer who will not resell a product. Producer One who offers a product for sale. Manufacturer One who creates a product. Retailer One who sells, but does not manufacture, a product. Factor Labor, materials, capital a producer uses to produce a product. Capital Buildings, land, machinery used in the production of a product. Also called property, plant, and equipment (PP&E). Market Interaction of consumers and producers of a given product. 13 Markets A market forms when consumers and producers of a product come together. The behavior of the consumer is summarized by demand. The behavior of the producer is summarized by supply. Later, we will examine instances in which markets are influenced by government intervention and foreign competition. For the moment, we will focus on the simple case in which the only players in the market are the producers and consumers. 14 Demand Demand The relationship between the number of units of a product a consumer is willing to buy and the price of the product. Price per Unit $20 $18 $16 Quantity Demanded (per unit time) 100 120 150 Relationship between price and quantity is demand. Amount the consumer wants to buy is quantity demanded. Incorrect: “When the price of the product falls, demand rises.” Correct: “When the price of the product falls, the quantity demanded rises.” 15 Demand Demand The relationship between the number of units of a product a consumer is willing to buy and the price of the product. Price per Unit $20 $18 $16 Quantity Demanded (per unit time) 100 120 150 $21 $20 $19 Price per Unit Figures from the table can be plotted to form a graph of demand. $18 $17 $16 $15 90 100 110 120 130 140 150 160 Quantity Demanded per Unit Time 16 Demand Any event that alters the demand relationship is called a consumer shock. A positive consumer shock causes consumers to want to purchase more units of the product at all price levels. A negative consumer shock causes consumers to want to purchase fewer units of the product at all price levels. $20 $18 $16 Quantity Demanded (per unit time) 100 100 110 120 120 133 150 160 150 166 $21 Positive Consumer Shock $20 $19 Price per Unit Price per Unit $18 $17 $16 $15 100 110 120 130 140 150 160 Quantity Demanded per Unit Time 17 Demand A change in the price of a good is not a shock because the price change does not alter the relationship between price and quantity demanded. When the price falls, consumers want to buy more of the product, but they don’t want to buy more of the product at all price levels. $20 $18 $16 Quantity Demanded (per unit time) 100 120 150 $21 If price had stayed at $20, consumers would not want to buy more. $20 $19 Price per Unit Price per Unit $18 $17 $16 $15 90 100 110 120 130 140 150 160 Quantity Demanded per Unit Time 18 Demand Typical Consumer Shocks 1. Change in consumers’ purchasing power. Increase (decrease) in purchasing power is a positive (negative) shock. 2. Change in price of a substitute product. Increase (decrease) in price of a substitute is a positive (negative) shock. E.g. increase in price of coffee increases demand for tea. 3. Change in price of a complement product. Increase (decrease) in price of a complement is a negative (positive) shock. E.g. increase in price of charcoal decreases demand for lighter fluid. 4. Change in consumer preferences. Increase (decrease) in preferences is a positive (negative) shock. 5. Change in number of consumers. Increase (decrease) in number of consumers is a positive (negative) shock. 19 Supply Supply The relationship between the number of units of a product a producer is willing to offer and the price of the product. Price per Unit $20 $18 $16 Quantity Supplied (per unit time) 140 120 100 Relationship between price and quantity is supply. Amount the producer wants to sell is quantity supplied. Incorrect: “When the price of the product falls, supply falls.” Correct: “When the price of the product falls, the quantity supplied falls.” 20 Supply Supply The relationship between the number of units of a product a producer is willing to offer and the price of the product. Price per Unit $20 $18 $16 Quantity Supplied (per unit time) 140 120 100 $21 $20 $19 Price per Unit Figures from the table can be plotted to form a graph of demand. $18 $17 $16 $15 90 100 110 120 130 140 150 Quantity Supplied per Unit Time 21 Supply Any event that alters the supply relationship is called a producer shock. A positive producer shock causes producers to want to offer more units of the product at all price levels. A negative producer shock causes producers to want to offer fewer units of the product at all price levels. $20 $18 $16 Quantity Supplied (per unit time) 140 140 160 120 120 133 100 100 110 $21 Positive Producer Shock $20 $19 Price per Unit Price per Unit $18 $17 $16 $15 100 110 120 130 140 140 150 150 160 160 Quantity Supplied per Unit Time 22 Supply A change in the price of a good is not a shock because the price change does not alter the relationship between price and quantity supplied. When the price falls, producers want to offer fewer units of the product, but they don’t want to offer fewer units at all price levels. $20 $18 $16 Quantity Supplied (per unit time) 140 120 100 If price had stayed at $20, producers would not want to offer fewer units. $21 $20 $19 Price per Unit Price per Unit $18 $17 $16 $15 90 100 110 120 130 140 150 Quantity Supplied per Unit Time 23 Supply Typical Producer Shocks 1. Change in producers’ technology. Increase (decrease) in technology is a positive (negative) shock. 2. Change in prices of factors. Increase (decrease) in price of a factor is a negative (positive) shock. E.g. increase in price of steel decreases supply of cars. 3. Change in the number of producers. Increase (decrease) in number of producers is a positive (negative) shock. 24 Identifying Shocks First Identify the market under scrutiny, and the consumers/producers of the market’s product. Consumer Shocks vs. Producer Shocks A shock is a consumer shock if it impacts consumers first and producers (if at all) only as a result of the impact on consumers. A shock is a producer shock if it impacts producers first and consumers (if at all) only as a result of the impact on producers. Positive Shocks vs. Negative Shocks A shock is a positive shock if it makes it easier or more attractive for producers/consumers to produce/consume. A shock is a negative shock if it makes it harder or less attractive for producers/consumers to produce/consume. 25 Identifying Shocks Example Refusing entry visas to Canadian loggers who, previously, cut trees in Maine for use as pulpwood is what sort of shock to the American paper markets? 1. Identify the market Market for American-made paper 2. Identify the producers American paper manufacturers 3. Identify the consumers Those who buy American paper 4. Identify the target of the shock (consumer shock or producer shock) Producer shock 5. Identify the direction of the shock (positive or negative) Negative shock 6. Identify the impact on demand/supply Supply of paper decreases 26 Shortage, Surplus, and Equilibrium Suppose the price of a product is $16. According to the supply curve, producers will offer 100 units per day. According to the demand curve, consumers will seek to purchase 150 units per day. $21 $20 Price per Unit $19 $18 $17 $16 $15 90 100 110 120 130 140 150 160 Quantity per Unit Time A shortage is a situation in which QD > QS Shortage = 50 units per day 27 Shortage, Surplus, and Equilibrium Producers experience a shortage as a reduction in inventories (for goods producers) or limited capacity (for service producers). Competition by consumers for a limited quantity of product puts upward pressure on price. $21 $20 Price per Unit $19 $18 $17 $16 $15 90 100 110 120 130 140 150 160 Quantity per Unit Time As price rises, QS increases and QD decreases, reducing the shortage. 28 Shortage, Surplus, and Equilibrium Eventually, the price rises to a point such that the shortage is completely eliminated. With the shortage gone, consumers no longer compete for a limited quantity of product, and so the price stops rising. $21 $20 Equilibrium price Price per Unit $19 Equilibrium point $18 $17 $16 $15 90 100 110 120 130 140 150 160 Quantity per Unit Time Equilibrium quantity 29 Shortage, Surplus, and Equilibrium Suppose the price of a product is $20. According to the demand curve, consumers will seek to purchase 100 units per day. According to the supply curve, producers will offer 140 units per day. $21 $20 Price per Unit $19 $18 $17 $16 $15 90 100 110 120 130 140 150 160 Quantity per Unit Time A surplus is a situation in which QD < QS Surplus = 40 units per day 30 Shortage, Surplus, and Equilibrium Producers experience a surplus as an increase in inventories (for goods producers) or excess capacity (for service producers). Competition by producers for a limited quantity of sales puts downward pressure on price. $21 $20 Price per Unit $19 $18 $17 $16 $15 90 100 110 120 130 140 150 160 Quantity per Unit Time As price falls, QD increases and QS decreases, reducing the surplus. 31 Shortage, Surplus, and Equilibrium Eventually, the price falls to a point such that the surplus is completely eliminated. With the surplus gone, producers no longer compete for a limited quantity of sales, and so the price stops falling. $21 $20 Equilibrium price Price per Unit $19 Equilibrium point $18 $17 $16 $15 90 100 110 120 130 140 150 160 Quantity per Unit Time Equilibrium quantity 32 Shortage, Surplus, and Equilibrium Shortage QD > QS Competition among consumers causes price to rise Surplus QD < QS Competition among producers causes price to fall Equilibrium QD = QS No competition and so no price change 33 Regression Analysis In regression analysis, we look at how one variable (or a group of variables) can affect another variable. We use a technique called “ordinary least squares” or OLS. The OLS technique looks at a sample of two (or more) variables and filters out random noise so as to find the underlying deterministic relationship among the variables. Example: A retailer suspects that monthly sales follow unemployment rate announcements with a onemonth lag. When the Bureau of Labor Statistics announces that the unemployment rate is up, one month later, sales appear to fall. When the BLS announces that the unemployment rate is down, one month later, sales appear to rise. The retailer wants to know if this relationship actually exists. If so, the retailer can use BLS announcements to help predict future sales. In linear regression analysis, we assume that the relationship between the two variables (in this example, sales and unemployment rate) is linear and that any deviation from the linear relationship must be due to noise (i.e. unaccounted randomness in the data). 34 Regression Analysis Example: The chart below shows data (see Data Set #4) on sales and the unemployment rate collected over a 10 month period. Date Montly Sales (current month) (current month) January $257,151 February $219,202 March $222,187 April $267,041 May $265,577 June $192,566 July $197,655 August $200,370 September $203,730 October $181,303 Unemployment Rate (previous month) 4.5% 4.7% 4.6% 4.4% 4.8% 4.9% 5.0% 4.9% 4.7% 4.8% Notice that the relationship (if there is one) between the unemployment rate and sales is subject to some randomness. Over some months (e.g. May to June), an increase in the previous month’s unemployment rate corresponds to a decrease in the current month’s sales. But, over other months (e.g. June to July), an increase in the previous month’s unemployment rate corresponds to an increase in the current month’s sales. 35 Regression Analysis Example: It is easier to picture the relationship between unemployment and sales if we graph the data. Since we are hypothesizing that changes in the unemployment rate cause changes in sales, we put unemployment on the horizontal axis and sales on the vertical axis. $280,000 Sales (current month) $260,000 $240,000 $220,000 $200,000 $180,000 $160,000 4.3% 4.4% 4.5% 4.6% 4.7% 4.8% 4.9% 5.0% 5.1% Unemployment Rate (previous month) 36 Regression Analysis Example: OLS finds the line that most closely fits the data. Because we have assumed that the relationship is linear, two numbers describe the relationship: (1) the slope, and (2) the vertical intercept. $280,000 Sales (current month) $260,000 $240,000 $220,000 $200,000 $180,000 ^ y = -11,648,868x + 771,670 Sales 771,670 11,648, 868 (unemp rate) $160,000 4.3% 4.4% 4.5% 4.6% 4.7% 4.8% 4.9% 5.0% 5.1% Unemployment Rate (previous month) Slope = –11,648,868 Vertical intercept = 771,670 37 Regression Analysis The graph below shows two relationships: 1. The regression model is the scattering of dots and represents the actual data. 2. The estimated (or fitted) regression model is the line and represents the regression model after random noise has been removed. After eliminating noise, we estimate that sales should have been 771,670 – (11,648,868)(0.045) = $247,471 Regression model Salest (unemp ratet 1 ) ut …is observed with sales of $257,151 $280,000 True intercept and slope $260,000 Estimated noise associated with this observation ^ Sales (current month) Sales Sales $257,151 $247, 471 $9, 680 uˆt Noise (also called “error term”) $240,000 Estimated regression model $220,000 ^ Salest ˆ ˆ(unemp ratet 1 ) $200,000 Estimated intercept, slope, and sales after estimating and removing noise $180,000 ^ y = -11,648,868x + 771,670 Sales 771,670 11,648, 868 (unemp rate) $160,000 4.3% 4.4% 4.5% 4.6% 4.7% 4.8% 4.9% 5.0% 5.1% Unemployment Rate (previous month) Unemp rate of 4.5%… 38 Regression Analysis Terminology: Variables on the right hand side of the regression equation are called exogenous, or explanatory, or independent variables. They usually represent variables that are assumed to influence the left hand side variable. The variable on the left hand side of the regression equation is called the endogenous, or outcome, or dependent variable. The dependent variable is the variable whose behavior you are interested in analyzing. The intercept and slopes of the regression model are called parameters. The intercept and slopes of the estimated (or fitted) regression model are called estimated parameters. The noise term in the regression model is called the error or noise. The estimated error is called the residual, or estimated error. Regression model Fitted (estimated) model Y X u Yˆ ˆ ˆX Outcome variable Fitted (estimated) Error (noise) outcome variable Parameters uˆ Y Yˆ Explanatory variable Residual (estimated error) Parameter estimates 39 Regression Analysis OLS estimates the regression model parameters by selecting parameter values that minimize the variance of the residuals. = Residual difference between actual and fitted values of the outcome variable. $280,000 Sales (current month) $260,000 $240,000 $220,000 $200,000 $180,000 y = -11,648,868x + 771,670 $160,000 4.3% 4.4% 4.5% 4.6% 4.7% 4.8% 4.9% 5.0% 5.1% Unemployment Rate (previous month) 40 Regression Analysis OLS estimates the regression model parameters by selecting parameter values that minimize the variance of the residuals. = Residual difference between actual and fitted values of the outcome variable. Choosing different parameter values moves the estimated regression line away (on average) from the data points. This results in increased variance in the residuals. $280,000 Sales (current month) $260,000 $240,000 $220,000 $200,000 $180,000 y = -11,648,868x + 771,670 $160,000 4.3% 4.4% 4.5% 4.6% 4.7% 4.8% 4.9% 5.0% 5.1% Unemployment Rate (previous month) 41 Regression Analysis To perform regression in Excel: (1) Select TOOLS, then DATA ANALYSIS (2) Select REGRESSION 42 Regression Analysis To perform regression in Excel: (3) Enter the range of cells containing outcome (“Y”) and explanatory (“X”) variables (4) Enter a range of cells for the output Constant is zero Check this box to force the vertical intercept to be zero. Confidence level Excel automatically reports 95% confidence intervals. Check this box and enter a level of confidence if you want a different confidence interval. Residuals Check this box if you want Excel to report the residuals. Standardized residuals Check this box if you want Excel to report the residuals in terms of standard deviations from the mean. 43 Regression Analysis Regression results Vertical intercept estimate Slope estimate 95% confidence interval around parameter estimate Test statistic and p-value for H0: parameter = 0 Standard deviation of slope estimate Standard deviation of vertical intercept estimate 44 Distribution of Regression Parameter Estimates If we select a different sample of observations from a population and then perform OLS, we will obtain slightly different parameter estimates. Thus, regression parameter estimates are random variables. Let ˆ be a regression parameter estimate. The properties of a regression parameter estimates: Population parameter Standard deviation of varies depending on the regression mode ˆ is distributed t N k , where k = number of parameters in the regression model 45 Distribution of Regression Parameter Estimates Regression demo Enter population values here. Spreadsheet selects a sample from the population and calculates parameter estimates based on the sample. Press F9 to select a new sample. 46 Multiple Regression Analysis In multiple regression analysis the OLS technique finds the linear relationship between an outcome variable and a group of explanatory variables. As in simple regression analysis, OLS filters out random noise so as to find the underlying deterministic relationship. OLS also identifies the individual effects of each of the multiple explanatory variables. Simple regression Yt 0 1 X t u t Multiple regression Yt 0 1 X 1,t 2 X 2,t ... m X m ,t u t 47 Multiple Regression Analysis Example: A trucking company wants to be able to predict the round-trip travel time of its trucks. Data Set #6 contains historical information on miles traveled, number of deliveries per trip, and total travel time. Use the information to predict a truck’s round-trip travel time. Miles Traveled 500 250 500 500 250 400 375 325 450 450 Deliveries Travel Time (hours) 4 11.3 3 6.8 4 10.9 2 8.5 2 6.2 2 8.2 3 9.4 4 8 3 9.6 2 8.1 Approach #1: Calculate Average Time per Mile Trucks in the data set required a total of 87 hours to travel a total of 4,000 miles. Dividing hours by miles, we find an average of 0.02 hours per mile journeyed. Problem: This approach ignores a possible fixed effect. For example, if travel time is measured starting from the time that out-bound goods begin loading, then there will be some fixed time (the time it takes to load the truck) tacked on to all of the trips. For longer trips this fixed time will be “amortized” over more miles and will have less of an impact on the time/mile ratio than for shorter trips. This approach also ignores the impact of the number of deliveries. 48 Multiple Regression Analysis Example: A trucking company wants to be able to predict the round-trip travel time of its trucks. Data Set #6 contains historical information on miles traveled, number of deliveries per trip, and total travel time. Use the information to predict a truck’s round-trip travel time. Approach #2: Calculate Average Time per Mile and Average Time per Delivery Trucks in the data set averaged 87 / 4,000 = 0.02 hours per mile journeyed, and 87 / 29 = 3 hours per delivery. Problem: Like the previous approach, this approach ignores a possible fixed effect. This approach does account for the impact of both miles and deliveries, but the approach ignores the possible interaction between miles and deliveries. For example, trucks that travel more miles likely also make more deliveries. Therefore, when we combine the time/miles and time/delivery measures, we may be double-counting time. 49 Multiple Regression Analysis Example: A trucking company wants to be able to predict the round-trip travel time of its trucks. Data Set #6 contains historical information on miles traveled, number of deliveries per trip, and total travel time. Use the information to predict a truck’s round-trip travel time. Miles Traveled 500 250 500 500 250 400 375 325 450 450 Deliveries Travel Time (hours) 4 11.3 3 6.8 4 10.9 2 8.5 2 6.2 2 8.2 3 9.4 4 8 3 9.6 2 8.1 Timei 0 1 (milesi ) u i Approach #3: Regress Time on Miles The regression model will detect and isolate any fixed effect. Problem: The model ignores the impact of the number of deliveries. For example, a 500 mile journey with 4 deliveries will take longer than a 500 mile journey with 1 delivery. 50 Multiple Regression Analysis Example: A trucking company wants to be able to predict the round-trip travel time of its trucks. Data Set #6 contains historical information on miles traveled, number of deliveries per trip, and total travel time. Use the information to predict a truck’s round-trip travel time. Miles Traveled 500 250 500 500 250 400 375 325 450 450 Deliveries Travel Time (hours) 4 11.3 3 6.8 4 10.9 2 8.5 2 6.2 2 8.2 3 9.4 4 8 3 9.6 2 8.1 Timei 0 1 (deliveriesi ) u i Approach #4: Regress Time on Deliveries The regression model will detect and isolate any fixed effect and will account for the impact of the number of deliveries. Problem: The model ignores the impact of miles traveled. For example, a 500 mile journey with 4 deliveries will take longer than a 200 mile journey with 4 deliveries. 51 Multiple Regression Analysis Example: A trucking company wants to be able to predict the round-trip travel time of its trucks. Data Set #6 contains historical information on miles traveled, number of deliveries per trip, and total travel time. Use the information to predict a truck’s round-trip travel time. Miles Traveled 500 250 500 500 250 400 375 325 450 450 Deliveries Travel Time (hours) 4 11.3 3 6.8 4 10.9 2 8.5 2 6.2 2 8.2 3 9.4 4 8 3 9.6 2 8.1 Timei 0 1 (milesi ) 2 (deliveriesi ) u i Approach #5: Regress Time on Both Miles and Deliveries The multiple regression model (1) will detect and isolate any fixed effect, (2) will account for the impact of the number of deliveries, (3) will account for the impact of miles, and (4) will eliminate out the overlapping effects of miles and deliveries. 52 Multiple Regression Analysis Example: A trucking company wants to be able to predict the round-trip travel time of its trucks. Data Set #6 contains historical information on miles traveled, number of deliveries per trip, and total travel time. Use the information to predict a truck’s round-trip travel time. Regression model: Timei 0 1 (milesi ) 2 (deliveriesi ) u i Estimated regression model: ^ Timei ˆ0 ˆ1 (miles i ) ˆ2 (deliveries i ) SUMMARY OUTPUT ˆ0 1.13 (0.952) [0.2732] Regression Statistics Multiple R 0.950678166 R Square 0.903788975 Adjusted R Square 0.876300111 Standard Error 0.573142152 Observations 10 ˆ1 0.01 (0.002) [0.0005] ˆ2 0.92 (0.221) [0.0042] R 2 0.90 ANOVA df Regression Residual Total Intercept X Variable 1 X Variable 2 2 7 9 SS MS F Significance F 21.60055651 10.80027826 32.87836743 0.00027624 2.299443486 0.328491927 23.9 Coefficients Standard Error t Stat P-value 1.131298533 0.951547725 1.188903619 0.273240329 0.01222692 0.001977699 6.182396959 0.000452961 0.923425367 0.221113461 4.176251251 0.004156622 Lower 95% Upper 95% -1.118752683 3.38134975 0.007550408 0.016903431 0.400575489 1.446275244 Standard deviations of parameter estimates and pvalues are typically shown in parentheses and brackets, respectively, near the parameter estimates. 53 Multiple Regression Analysis Example: A trucking company wants to be able to predict the round-trip travel time of its trucks. Data Set #6 contains historical information on miles traveled, number of deliveries per trip, and total travel time. Use the information to predict a truck’s round-trip travel time. Estimated regression model: ^ Timei ˆ0 ˆ1 (miles i ) ˆ2 (deliveries i ) ˆ0 1.13 (0.952) [0.2732] ˆ1 0.01 (0.002) [0.0005] ˆ2 0.92 (0.221) [0.0042] R 2 0.90 Notes on results: 1. Constant is not significantly different from zero. 2. Slope coefficients are significantly different from zero. 3. Variation in miles and deliveries, together, account for 90% of the variation in time. The parameter estimates are measures of the marginal impact of the explanatory variables on the outcome variable. Marginal impact measures the impact of one explanatory variable after the impacts of all the other explanatory variables are filtered out. Marginal impacts of explanatory variables 0.01 = increase in time given increase of 1 mile traveled. 0.92 = increase in time given increase of 1 delivery. 54 Types of Analysis A qualitative analysis attempts to determine the direction of changes in price and quantity. A quantitative analysis attempts to determine the magnitude of changes in price and quantity. 55 Qualitative Analysis of Shocks Example In March 2005, crude oil rose to a then-record $56 per barrel. Crude oil is the main component of gasoline. Using qualitative analysis, determine the impact of the rise in oil prices on the market for gasoline. Incorrect approach The increase in the price of oil will cause an increase in the price of gas. As gas prices rise, it becomes more profitable for retailers to sell gasoline, so the quantity of gas offered for sale will rise. Because people won’t drive less, consumers will not buy less gas, but will cut back on purchases of other things. In summary: The price of gas will rise and the quantity of gas sold will rise. Critique of Analysis The analysis skips the impact of the price of oil on the demand and supply of gasoline, and instead jumps right to the impact on the price of gas. While the analysis correctly identifies the impact on the price of gas, by skipping the impact on demand and supply, the analysis fails to identify why the price of gas is rising and, as a result, incorrectly concludes that sales of gas will rise. 56 Qualitative Analysis of Shocks Correct approach 1. The rise in the price of oil is a negative producer shock. 2. 3. 4. 5. Negative producer shock causes supply of gasoline to decrease. Decrease in supply of gasoline causes a shortage of gasoline. Shortage of gasoline causes price of gasoline to rise. Price rises until new equilibrium is attained. Market for Gasoline End result: Market moves from equilibrium A to equilibrium B Price of gasoline rises and quantity sold of gasoline falls. S’ $/unit S B P2 A P1 D QS shortage QD Q/time 57 Qualitative Analysis of Shocks Publicity surrounding the introduction of the new food pyramid has raised consumer awareness of the health problems associated with eating fast food. Simultaneously, Congress voted to increase the minimum wage effective immediately. Using qualitative analysis, determine the combined impact of these shocks on the market for fast food. 1. Identify the market Market for fast food 2. Identify the producers Fast food retailers 3. Identify the consumers People who buy fast food 4. Identify the target of the shock (consumer shock or producer shock) Publicity: consumer shock Minimum wage: producer shock 5. Identify the direction of the shock (positive or negative) Publicity: negative shock Minimum wage: negative shock 6. Identify the impact on demand/supply Publicity: demand decreases Minimum wage: supply decreases 58 Qualitative Analysis of Shocks Perform qualitative analysis (skip intermediate steps – focus on change in equilibrium) 1. Market starts at equilibrium A price is P1 and quantity sold per unit time is Q1. 2. Demand decreases and supply decreases. 3. New equilibrium at B price rises to P2 and quantity sold falls to Q2. End result: Price of fast food rises and quantity sold of fast food falls. Market for Fast Food S’ $/unit Question: What is wrong with this analysis? Analysis assumes that the producer shock was larger than the consumer shock. P2 P1 S B A D’ Q2 Q1 D Q/time 59 Qualitative Analysis of Shocks Perform qualitative analysis (skip intermediate steps – focus on change in equilibrium) Assume now that the consumer shock is larger than the producer shock. 1. Market starts at equilibrium A price is P1 and quantity sold per unit time is Q1. 2. Demand decreases and supply decreases (but, this time, demand shift is greater). 3. New equilibrium at B price falls to P2 and quantity sold falls to Q2. End result: Price of fast food falls and quantity sold of fast food falls. We looked at two possibilities (1) consumer shock is greater than producer shock, and (2) producer shock is greater than consumer shock. In both cases, quantity sold fell, but in case (1) price rose while in case (2) price fell. Market for Fast Food S’ $/unit P1 P2 B A Conclusion: Quantity sold will fall. Impact on price is unknown. D’ Q2 S Q1 D Q/time 60 Quantitative Analysis of Shocks In a quantitative analysis, we apply regression techniques to data in an attempt to estimate the parameters of the demand and supply functions. Ordinary Least Squares One might be tempted to use OLS to estimate the demand (or supply) function. One problem with using OLS is that we don’t know if different observations are due to shifts in demand or supply. Data on P and Q show demand, but not supply. S •• • S’ Data on P and Q show supply, but not demand. S S’’ S’’’ • • •• • D D D’ D’’ D’’’ 61 Quantitative Analysis of Shocks We employ a procedure called two-stage least squares in an attempt to account for the fact that we don’t know whether the price and quantity data were generated by changes in supply, demand, or both together. Two-Stage Least Squares 1. Identify factors that could cause shifts in demand and supply (over the sample period represented in the data set). Example: Consumer Income, Prices of Substitutes/Complements, Prices of Factors, Number of Producers, etc. 2. Run an OLS regression of quantity on all of the factors that could cause shifts in either demand or supply. This is stage #1 of the TSLS procedure. 3. Using the parameter estimates from stage #1, calculate fitted values for quantity. 4. Run an OLS regression of price on the fitted values for quantity and the factors that could cause shifts in demand. The results from this regression comprise the estimated demand function. This is stage #2 (as applied to demand). 5. Run an OLS regression of price on the fitted values for quantity and the factors that could cause shifts in supply. The results from this regression comprise the estimated supply function. This is stage #2 (as applied to supply). 62 Quantitative Analysis of Shocks Example Using the following data, estimate the demand and supply functions. Qt Quantity (units) sold at time t Pt Price per unit at time t It Customers’ average incomes at time t Ft Average prices of factors at time t St Price of primary substitute at time t Ct Price of primary complement at time t 1. Factors that could cause a shift in demand or supply: I, F, S, C 2. Regress quantity sold on factors that could shift demand or supply. Qt 1I t 2Ft 3S t 4C t u t 63 Quantitative Analysis of Shocks 1. Factors that could cause a shift in demand or supply: I, F, S, C 2. Regress quantity sold on factors that could shift demand or supply. Qt 1I t 2Ft 3S t 4C t u t 3. Using parameter estimates, calculate fitted quantities. Qˆt ˆ ˆ1I t ˆ2Ft ˆ3S t ˆ4C t 4. Regress price on fitted quantity sold and factors that could shift demand. Regress price on fitted quantity sold and factors that could shift supply. Pt 1Qˆt 2I t 3S t 4C t u t Demand equation is: Pt ˆ ˆ1Qt ˆ2I t ˆ3S t ˆ4C t Pt 1Qˆt 2Ft u t Supply equation is: Pt ˆ ˆ1Qt ˆ2Ft 64 Quantitative Analysis of Shocks Data Set #1 contains monthly data relevant to a firm’s 40 retail locations. Using this data, estimate the demand equation faced by the firm as a whole. 1. What factors could cause changes in demand or supply? Household income (MAHI), Labor costs (LC), Competitor price per unit (CPPU), Advertising budget (AB) 2. Regress output on these factors then calculate fitted output. Qt 1MAHI t 2LC t 3CPPU t 4 ABt ut 65 Quantitative Analysis of Shocks Data Set #1 contains monthly data relevant to a firm’s 40 retail locations. Using this data, estimate the demand equation faced by the firm as a whole. 2. Regress output on these factors then calculate fitted output. 66 Quantitative Analysis of Shocks Data Set #1 contains monthly data relevant to a firm’s 40 retail locations. Using this data, estimate the demand equation faced by the firm as a whole. 2. Regress output on these factors then calculate fitted output. Dependent variable Independent variable(s) 67 Quantitative Analysis of Shocks Data Set #1 contains monthly data relevant to a firm’s 40 retail locations. Using this data, estimate the demand equation faced by the firm as a whole. 2. Regress output on these factors then calculate fitted output. SUMMARY OUTPUT Regression Statistics Multiple R 0.999283462 R Square 0.998567438 Adjusted R Square 0.998403717 Standard Error 261.5251211 Observations 40 Qˆ ˆ ˆ1 MAHI ˆ2 LC ˆ3 CPPU ˆ4 AB Qˆ 474.56 0.17 MAHI 0.07 LC 90.77 CPPU 0.46 AB ANOVA df Regression Residual Total Intercept Median Income Labor Costs Competitor Price Advertising Budget 4 35 39 SS MS F Significance F 1668625705 4.17E+08 6099.189 3.15186E-49 2393838.615 68395.39 1671019544 Coefficients Standard Error -474.5638082 602.9004286 0.169918856 0.005828559 -0.067582498 0.003374014 90.76936788 53.69585291 0.462282487 0.003017196 t Stat P-value -0.787135 0.436501 29.15281 3.85E-26 -20.0303 9.34E-21 1.690435 0.099833 153.2159 4.48E-51 Lower 95% Upper 95% -1698.518244 749.3906274 0.158086238 0.181751475 -0.074432119 -0.060732878 -18.23914202 199.7778778 0.456157247 0.468407728 68 Quantitative Analysis of Shocks Data Set #1 contains monthly data relevant to a firm’s 40 retail locations. Using this data, estimate the demand equation faced by the firm as a whole. 2. Regress output on these factors then calculate fitted output. Fitted Unit Sales Qˆ 474.56 0.17 MAHI 0.07 LC 90.77 CPPU 0.46 AB Note: The figures shown in the equation are rounded to two decimal places. The figures on the right are calculated using the non-rounded coefficients. 9936 24765 13396 18889 23004 7317 15999 26254 19429 15518 8025 7521 22670 21715 26640 13372 25071 10543 8940 26480 8504 23914 11443 22341 12472 18385 13058 21925 11148 19742 11474 13264 5190 19488 15117 21320 12193 6466 15521 4865 69 Quantitative Analysis of Shocks Data Set #1 contains monthly data relevant to a firm’s 40 retail locations. Using this data, estimate the demand equation faced by the firm as a whole. 3. Regress price on fitted quantity and factors that could shift demand. Pt 1Qˆt 2MAHI t 3CPPU t 4 ABt u t SUMMARY OUTPUT Regression Statistics Multiple R 0.991419686 R Square 0.982912994 Adjusted R Square 0.980960194 Standard Error 2.952486265 Observations 40 Pˆt 0.4878 0.0013 Qˆt 0.0005 MAHI t 0.0143 CPPU t 0.0021 AB t ANOVA df Regression Residual Total Intercept Fitted Quantity Sold Median Income Competitor Price Advertising Budget 4 35 39 SS MS 17550.63891 4387.659727 305.10113 8.717175143 17855.74004 Coefficients Standard Error t Stat 0.487756046 7.013101584 0.069549263 -0.001273075 0.000563621 -2.25874303 0.000501297 0.000119796 4.184601716 -0.0143109 0.609609764 -0.02347551 0.002112162 0.000262718 8.03964832 F Significance F 503.3350432 2.14659E-30 P-value 0.944948276 0.030234817 0.000182421 0.981404306 1.83457E-09 Lower 95% Upper 95% -13.74961448 14.72512657 -0.002417287 -0.000128862 0.000258099 0.000744496 -1.251886027 1.223264226 0.001578815 0.002645509 70 Quantitative Analysis of Shocks Data Set #1 contains monthly data relevant to a firm’s 40 retail locations. Using this data, estimate the supply equation faced by the firm as a whole. 4. Regress price on fitted quantity and factors that could shift supply. Pt 1Qˆt 2LC t 3 ABt u t SUMMARY OUTPUT Regression Statistics Multiple R 0.991369183 R Square 0.982812858 Adjusted R Square 0.981380596 Standard Error 2.919708628 Observations 40 Pˆt 0.4085 0.0016 Qˆt 0.0002 LC t 0.0008 AB t ANOVA df Regression Residual Total Intercept Fitted Quantity Sold Labor Cost Advertising Budget 3 36 39 SS MS 17548.8509 5849.616965 306.889145 8.524698471 17855.74004 Coefficients Standard Error 0.408493319 5.869001067 0.001590068 0.000332424 0.000193847 4.55408E-05 0.000787492 0.000153962 t Stat 0.069601848 4.783254098 4.256551323 5.114837906 F Significance F 686.1963487 8.29996E-32 P-value 0.944895759 2.90824E-05 0.000141656 1.05727E-05 Lower 95% -11.49437686 0.000915882 0.000101486 0.000475243 Upper 95% 12.3113635 0.002264255 0.000286208 0.001099742 71 Quantitative Analysis of Shocks The firm is going to open a new retail store and is faced with a choice between two locations. Location A is in a higher income area (median household income = $80,000) while location B is in a lower income area (median household income = $40,000). This means, in part, that the firm would have to pay a higher wage to its workers if it located at A versus B. The firm is willing to spend, for labor costs plus advertising combined, a total of $200,000 per month. The firm estimates that its monthly labor costs at location A would be $150,000 while its monthly labor costs at location B would be $100,000. Suppose the firm wants to sell 15,000 units per month. Using your estimate of the demand curve, provide a recommendation as to which location the firm should choose. Assume that the competition price is the average of the prices observed at the firm’s 40 locations. Pˆt 0.4878 0.0013 Qˆt 0.0005 MAHI t 0.0143 CPPU t 0.0021 AB t Location A Pˆt 0.4878 0.0013 15, 000 0.0005 $80, 000 0.0143 $7.58 0.0021 $50, 000 $125.88 72 Quantitative Analysis of Shocks Suppose the firm wants to sell 15,000 units per month. Using your estimate of the demand curve, provide a recommendation as to which location the firm should choose. Assume that the competition price is the average of the prices observed at the firm’s 40 locations. Pˆt 0.4878 0.0013 Qˆt 0.0005 MAHI t 0.0143 CPPU t 0.0021 AB t Location A Pˆt 0.4878 0.0013 15, 000 0.0005 $80, 000 0.0143 $7.58 0.0021 $50, 000 $125.88 Location B Pˆt 0.4878 0.0013 15, 000 0.0005 $40, 000 0.0143 $7.58 0.0021 $100, 000 $210.88 For the same cost and generating the same unit sales, the firm will be able to charge more for its product at location B. 73 Elasticities The information contained in the estimated demand and supply functions can be summarized in elasticities. An elasticity is a number that indicates the sensitivity of an outcome to a factor. An elasticity is defined as the percentage change in quantity (either demanded or supplied) divided by the percentage change in a factor. %Q %X The elasticity can be rewritten as: %Q Q %X X X Q The ratio of the change in Q to a change in X can be derived from the coefficients in the demand and supply equations. 74 Elasticities A different elasticity can be constructed corresponding to each factor in the demand and supply equations. Typical elasticities include: From the demand equation Price elasticity of demand Cross-price elasticity of demand Income elasticity of demand Advertising elasticity of demand %Qd %Price %Qd %Price of Other Product %Qd %Income %Qd %Advertising From the supply equation Price elasticity of supply Labor cost elasticity of supply %Qs %Price %Qs %Labor Cost 75 Elasticities Continuing with the demand equation derived from Data Set #1, calculate the price elasticity of demand for Store Location #10. Price Elasticity of Demand %Qd Qd P %Price P Q Demand Equation Pˆt 0.4878 0.0013 Qˆt 0.0005 MAHI t 0.0143 CPPU t 0.0021 AB t P 0.0013 Qd Use “appropriate” values for P and Q. Examples: most current values, average values 76 Elasticities Continuing with the demand equation derived from Data Set #1, calculate the price elasticity of demand for Store Location #10. For Store Location #10 P $78.33 Qd 15, 931 “At current price and unit sales levels, every 1% rise (fall) in price results in a 3.8% fall (rise) in unit sales.” Price Elasticity of Demand 1 Qd P P Q P d Qd 1 78.33 P 3.8 Qd 0.0013 15, 931 We say, “at current price…” because, as price and quantity change, the elasticity changes. 77 Elasticities Continuing with the demand equation derived from Data Set #1, calculate the advertising elasticity of demand for Store Location #10. Advertising Elasticity of Demand Advertising %Qd Qd %Advertising Advertising Q Demand Equation Pˆt 0.4878 0.0013 Qˆt 0.0005 MAHI t 0.0143 CPPU t 0.0021 AB t 1. Calculate ΔQd/ΔAdvertising Qd P AB AB 1 P Q d 1 1 0.0021 1 1.615 0.0013 Multiply by 1 because we are multiplying two effects together. Qd 1.615 Advertising 78 Elasticities Continuing with the demand equation derived from Data Set #1, calculate the advertising elasticity of demand for Store Location #10. Advertising Elasticity of Demand Advertising %Qd Qd %Advertising Advertising Q 2. Select “appropriate” values for Q and Advertising. For Store Location #10 Qd 15, 931 Advertising $35,552 3. Calculate advertising elasticity of demand. Advertising Elasticity of Demand Advertising Qd 35,552 1.6154 3.6 Qd 15, 931 Advertising 79 Elasticities Continuing with the demand equation derived from Data Set #1, calculate the advertising elasticity of demand for Store Location #10. Advertising Elasticity of Demand Advertising Qd 35,552 1.6154 15, 931 3.6 Advertising Q d 4. Interpret the elasticity. “At current unit sales and advertising levels, every 1% increase (decrease) in advertising increases (decreases) unit sales by 3.6%.” 80 Inelastic vs. Elastic Elasticity measures that are less than one (in absolute value) are called inelastic or insensitive. Elasticity measures that are greater than one (in absolute value) are called elastic or sensitive. Example Suppose that the labor cost elasticity of supply for a product is –0.1. We say that unit sales of the product are “labor cost inelastic” or “labor cost insensitive.” This means that a given change in labor cost causes a proportionally smaller change in quantity supplied. Suppose that the advertising elasticity of demand for a product is 5. We say that unit sales of the product are “advertising elastic” or “advertising sensitive.” This means that a given change in advertising causes a proportionally larger change in quantity demanded. 81 Price Elasticity of Demand The price elasticity of demand indicates a product is a luxury or a necessity. Price Elasticity of Demand %Qd %Price If the elasticity is greater than one in absolute value, then unit sales of this product move proportionally more than the change in price the product is a luxury. If the elasticity is less than one in absolute value, then unit sales of this product move proportionally less than the change in price the product is a necessity. strong luxury - weak luxury weak necessity -1 strong necessity 0 82 Price Elasticity of Demand Using Data Set #1, find the average price price elasticity for your product across the 40 retail locations. Demand Equation Pˆt 0.4878 0.0013 Qˆt 0.0005 MAHI t 0.0143 CPPU t 0.0021 AB t Price Elasticity of Demand P Qd 1 Q P d P Q P d Qd 1 P P Qd 0.0013 Qd 83 Price Elasticity of Demand Using Data Set #1, find the average price price elasticity for your product across the Store Price per 40 retail locations. P/Q (1 / -0.0013) (P / Q Unit Sales Location Unit d Average price elasticity of demand across the 40 stores = -4.23 Interpretation: Consumers consider the product a luxury. Consumers shopping at location #40 regard the product as a strong luxury (relative to other store locations). Consumers shopping at location #34 regard the product as a weak luxury (relative to other store locations). 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 10414 24677 13723 18889 22978 7198 15777 25963 19084 15931 8278 7379 22630 21377 26836 12886 25199 10660 8897 26351 8353 23814 11627 22842 12688 18522 12759 22015 10812 19522 11511 13611 4889 19688 14937 21522 12292 6706 15418 4658 $65.23 $111.16 $64.25 $90.05 $100.32 $58.16 $82.91 $112.89 $93.65 $78.33 $56.66 $53.42 $104.35 $101.14 $112.05 $64.76 $111.46 $64.39 $62.15 $108.29 $61.07 $105.85 $69.58 $104.43 $55.82 $82.38 $57.25 $110.43 $59.93 $90.95 $65.71 $63.76 $47.62 $80.12 $78.66 $100.87 $61.92 $56.91 $77.18 $46.02 0.0063 0.0045 0.0047 0.0048 0.0044 0.0081 0.0053 0.0043 0.0049 0.0049 0.0068 0.0072 0.0046 0.0047 0.0042 0.0050 0.0044 0.0060 0.0070 0.0041 0.0073 0.0044 0.0060 0.0046 0.0044 0.0044 0.0045 0.0050 0.0055 0.0047 0.0057 0.0047 0.0097 0.0041 0.0053 0.0047 0.0050 0.0085 0.0050 0.0099 d) -4.82 -3.47 -3.60 -3.67 -3.36 -6.22 -4.04 -3.34 -3.77 -3.78 -5.27 -5.57 -3.55 -3.64 -3.21 -3.87 -3.40 -4.65 -5.37 -3.16 -5.62 -3.42 -4.60 -3.52 -3.38 -3.42 -3.45 -3.86 -4.26 -3.58 -4.39 -3.60 -7.49 -3.13 -4.05 -3.61 -3.87 -6.53 -3.85 -7.60 84 Cross-Price Elasticity of Demand The cross-price elasticity of demand indicates whether two products are complements, substitutes, or unrelated. Cross-Price Elasticity of Demand %Qd of this product %Price of a different product If the elasticity is positive, then unit sales of this product move in the same direction as the price of the different product the different product is a substitute for this product. If the elasticity is negative, then unit sales of this product move in the opposite direction of the price of the different product the different product is a complement for this product. strong complements - weak complements weak substitutes 0 strong substitutes + 85 Cross-Price Elasticity of Demand Using Data Set #1, find the average cross-price price elasticity between your product and your competitor’s product. Demand Equation Pˆt 0.4878 0.0013 Qˆt 0.0005 MAHI t 0.0143 CPPU t 0.0021 AB t Find Qd / CPPU Qd P CPPU CPPU 1 P Q d 1 1 0.0143 1 11 0.0013 Cross-Price Elasticity of Demand Qd CPPU CPPU CPPU 11 Q Qd d 86 Cross-Price Elasticity of Demand Using Data Set #1, find the average cross-price price elasticity between your product and your competitor’s product. Average cross-price elasticity of demand across the 40 stores = -0.003 Interpretation: Consumers consider our product to be virtually unrelated (competitionwise) to our competitors. If anything, consumers perceive that the products are slight complements. Store Location 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Unit Sales 10414 24677 13723 18889 22978 7198 15777 25963 19084 15931 8278 7379 22630 21377 26836 12886 25199 10660 8897 26351 8353 23814 11627 22842 12688 18522 12759 22015 10812 19522 11511 13611 4889 19688 14937 21522 12292 6706 15418 4658 Competitor Price per P competitor / Qd (-11) (P competitor / Qd Unit our product) our product $7.40 0.0007 -0.0078 $6.96 0.0003 -0.0031 $8.23 0.0006 -0.0066 $8.31 0.0004 -0.0048 $6.23 0.0003 -0.0030 $6.21 0.0009 -0.0095 $6.50 0.0004 -0.0045 $8.82 0.0003 -0.0037 $8.56 0.0004 -0.0049 $7.38 0.0005 -0.0051 $7.95 0.0010 -0.0106 $8.51 0.0012 -0.0127 $7.93 0.0004 -0.0039 $7.65 0.0004 -0.0039 $7.54 0.0003 -0.0031 $7.97 0.0006 -0.0068 $6.35 0.0003 -0.0028 $8.40 0.0008 -0.0087 $8.55 0.0010 -0.0106 $9.12 0.0003 -0.0038 $6.15 0.0007 -0.0081 $8.43 0.0004 -0.0039 $8.40 0.0007 -0.0079 $7.96 0.0003 -0.0038 $7.91 0.0006 -0.0069 $8.52 0.0005 -0.0051 $7.91 0.0006 -0.0068 $7.47 0.0003 -0.0037 $8.39 0.0008 -0.0085 $8.03 0.0004 -0.0045 $6.80 0.0006 -0.0065 $8.66 0.0006 -0.0070 $7.29 0.0015 -0.0164 $7.32 0.0004 -0.0041 $6.09 0.0004 -0.0045 $6.27 0.0003 -0.0032 $7.07 0.0006 -0.0063 $7.06 0.0011 -0.0116 $6.41 0.0004 -0.0046 $6.55 0.0014 -0.0155 87 Income Elasticity of Demand The income elasticity of demand indicates whether a product is superior, inferior, or normal. Income Elasticity of Demand %Qd %Income If the elasticity is greater than one, then unit sales of this product rise faster than income rises the product is superior. If the elasticity is less than one, then unit sales of this product rise slower than income rises the product is inferior. If the elasticity equals one, then unit sales of this product rise at the same rate as the product is normal. strongly inferior - weakly inferior normal 1 weakly superior strongly superior + 88 Income Elasticity of Demand Using Data Set #1, find the average income elasticity of demand for your product. Demand Equation Pˆt 0.4878 0.0013 Qˆt 0.0005 MAHI t 0.0143 CPPU t 0.0021 AB t Solve Demand Equation for Qˆt Qˆt 375 769 Pˆt 0.385 MAHI t 11 CPPU t 1.615 AB t Qd Income Income Elasticity of Demand Qd Income Income Q d Income 0.385 Q d 89 Income Elasticity of Demand Using Data Set #1, find the average income elasticity of demand for your product. Average income elasticity of demand across the 40 stores = 2.76 Interpretation: Overall, consumers consider our product to be strongly superior. However, at 16 of the 40 stores, consumers consider our product to be inferior. As consumers’ incomes rise, we should shift resources away from those 16 stores toward the remaining stores. Store Location 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Unit Sales 10414 24677 13723 18889 22978 7198 15777 25963 19084 15931 8278 7379 22630 21377 26836 12886 25199 10660 8897 26351 8353 23814 11627 22842 12688 18522 12759 22015 10812 19522 11511 13611 4889 19688 14937 21522 12292 6706 15418 4658 Median Annual Household Income $38,622 $30,728 $50,925 $48,711 $50,117 $38,209 $30,679 $51,498 $51,605 $39,350 $46,427 $52,875 $44,961 $33,875 $52,175 $54,211 $43,784 $46,371 $47,715 $44,580 $37,946 $49,120 $50,268 $46,223 $54,909 $52,460 $48,502 $30,915 $50,492 $31,803 $39,607 $40,861 $31,655 $52,210 $48,131 $31,616 $32,856 $33,823 $52,968 $32,273 Income / Qd (0.385) (Income / Qd) 3.7087 1.2452 3.7109 2.5788 2.1811 5.3083 1.9445 1.9835 2.7041 2.4700 5.6085 7.1656 1.9868 1.5846 1.9442 4.2070 1.7375 4.3500 5.3630 1.6918 4.5428 2.0627 4.3234 2.0236 4.3276 2.8323 3.8014 1.4043 4.6700 1.6291 3.4408 3.0021 6.4747 2.6519 3.2223 1.4690 2.6730 5.0437 3.4355 6.9285 1.4278 0.4794 1.4287 0.9928 0.8397 2.0437 0.7486 0.7637 1.0411 0.9510 2.1593 2.7588 0.7649 0.6101 0.7485 1.6197 0.6689 1.6748 2.0648 0.6513 1.7490 0.7941 1.6645 0.7791 1.6661 1.0904 1.4635 0.5406 1.7979 0.6272 1.3247 1.1558 2.4928 1.0210 1.2406 0.5656 1.0291 1.9418 1.3227 2.6675 90 Elasticities and Sales Sales (“total revenue”) is calculated as: Total Revenue = (Price per unit) (Unit sales) By extension, %Δ Total Revenue = %Δ Price per unit + %Δ Unit sales Example Suppose that the price of a product rises by 12% and the unit sales drop by 8%. Sales (total revenue) of the product change by 12% – 8% = 4%. 91 Applying Elasticities US Air’s market researchers estimate that, were US Air to decrease the price of its coach fairs by 10%, then the number of coach tickets sold would increase by 20%. To increase US Air’s sales, should US Air increase or decrease its coach fairs? Price Elasticity of Demand %Qd 0.2 2 %Price 0.1 A 1% increase in price will be accompanied by a 2% decrease in Qd. Similarly, a 1% decrease in price will be accompanied by a 2% increase in Qd. A 1% increase in price will result in a 1% – 2% = –1% change in sales. A 1% decrease in price will result in a –1% + 2% = +1% change in sales. 92 Applying Elasticities The May Company owns Filenes and Hechts. May is going to open two new stores (one Filenes and one Hechts) in New York and Philadelphia. The populations in each area (adjusted for the difficulty of getting to the stores) are comparable, and unit sales are initially equivalent in the two markets. Research shows that the income elasticity for major selling items at Filenes is approximately 1.1 while the income elasticity for major selling items at Hechts is approximately 0.9. Demographers predict that the average income level in New York will rise by 30% over the next twenty years (the expected life of the store) while the average income level in Philadelphia will rise by 20% over the same period. Assume that price at Filenes and Hechts are roughly equivalent and that unit sales at the two stores are also roughtly equivalent. Based on this information, given that May is going to open one of each store, which should it locate in New York and which in Philadelphia? %Qd 1.1 %Income %Qd Income Elasticity of Demand for Hechts 0.9 %Income Income Elasticity of Demand for Filenes %IncomeNew York 0.3 %IncomePhiladelphia 0.2 93 Applying Elasticities Filenes %Qd %Qd %IncomeNew York 1.1 0.3 0.33 % Income %Qd %Qd %IncomePhiladelphia 1.1 0.2 0.22 %Income Hechts %Qd %Qd %IncomeNew York 0.9 0.3 0.27 % Income %Qd %Qd %IncomePhiladelphia 0.9 0.2 0.18 %Income 94 Applying Elasticities The May Company owns Filenes and Hechts. May is going to open two new stores (one Filenes and one Hechts) in New York and Philadelphia. The populations in each area (adjusted for the difficulty of getting to the stores) are comparable, and unit sales are initially equivalent in the two markets. Research shows that the income elasticity for major selling items at Filenes is approximately 1.1 while the income elasticity for major selling items at Hechts is approximately 0.9. Demographers predict that the average income level in New York will rise by 30% over the next twenty years (the expected life of the store) while the average income level in Philadelphia will rise by 20% over the same period. Assume that price at Filenes and Hechts are roughly equivalent and that unit sales at the two stores are also roughtly equivalent. Based on this information, given that May is going to open one of each store, which should it locate in New York and which in Philadelphia? Filenes Hechts New York 0.33 0.27 Philadelphia 0.22 0.18 27% + 22% = 49% change in unit sales 33% + 18% = 51% change in unit sales Mays should locate the Filenes store in New York and the Hechts store in Philadelphia. 95 Applying Elasticities Bayer markets a prescription migraine drug and a heart medication. Because of interactions, patients cannot take both the migraine drug and the heart medication. Market research indicates that the price elasticity for the migraine drug is –0.7, the price elasticity for the heart medication is –0.5, and the cross-elasticity for the heart medication and the migraine drug is 0.1. The unit contributions for the migraine and heart drugs are, respectively, $0.75 and $0.52. Bayer sells 10 million units of each quarterly. Should Bayer alter the price of either product, and if so in what direction(s)? Price Elasticity of Demand for Migraine Price Elasticity of Demand for Heart Cross-price Elasticity of Demand %Qd Migraine 0.7 %Price %Qd Heart 0.5 %Price %Qd Heart %Qd Migraine 0.1 %Price Migraine %Price Heart 96 Applying Elasticities Suppose Bayer increases the price of the migraine drug by 15% %SalesMigraine %PMigraine %QMigraine %SalesHeart %PHeart %QHeart %QMigraine %QMigraine %PMigraine 0.7 0.15 0.105 %P Migraine %QHeart %QHeart %PMigraine 0.1 0.15 0.015 %P Migraine %SalesMigraine 0.15 0.105 0.045 4.5% %SalesHeart 0 0.015 0.015 1.5% ContributionMigraine 4.5% 10 million $0.75 $337,500 ContributionHeart 1.5% 10 million $0.52 $78,000 ContributionTotal $337,500 $78,000 $415,500 97 Applying Elasticities Suppose Bayer increases the price of the heart medication by 15% %SalesMigraine %PMigraine %QMigraine %SalesHeart %PHeart %QHeart %QMigraine %QMigraine %PHeart 0.1 0.15 0.015 %PHeart %QHeart %QHeart %PHeart 0.5 0.15 0.075 % P Heart %SalesMigraine 0 0.015 0.015 1.5% %SalesHeart 0.15 0.075 0.075 7.5% ContributionMigraine 1.5% 10 million $0.75 $112,500 ContributionHeart 7.5% 10 million $0.52 $39,000 ContributionTotal $112,500 $39,000 $151,500 98 Applying Elasticities Compare the 15% increase in the price of the migraine drug to the 15% increase in the price of the heart drug. Increase Price of Migraine Drug by 15% ContributionMigraine 4.5% 10 million $0.75 $337,500 ContributionHeart 1.5% 10 million $0.52 $78,000 ContributionTotal $337,500 $78,000 $415,500 Increase Price of Heart Drug by 15% Firm obtains greater profit from increasing the price of the migraine drug. ContributionMigraine 1.5% 10 million $0.75 $112,500 ContributionHeart 7.5% 10 million $0.52 $39,000 Contribution Total $112,500 $39,000 $151,500 99 Analysis of the Firm The firm’s goal is to maximize shareholder value. Specifically, the firm seeks to maximize the present discounted value of future cash flows. In economics, we call this “profit maximization.” Business Terminology Economics Terminology Sales Total Revenue COGS, SG&A, R&D Variable Costs D&A Fixed Costs Contribution Producer Surplus Net Income Accounting Profit “Normal Profit” Zero Economic Profit “Excess Profit” Economic Profit 100 Analysis of the Firm Long-run vs. Short-run Costs Long-run (or “fixed”) costs are costs that remain even if the firm produces no output. These costs include things like rent on office space, depreciation on buildings and equipment, and casualty insurance. Fixed costs can be eliminated, but only by selling off the firm’s assets and discharging its debt. Because this cannot be done quickly, we call these fixed costs “long-run” costs. Short-run (or “variable”) costs are costs that are change as the firm’s level of output changes. These costs include things like materials used in production, electricity, fuel, and labor. Variable costs can be eliminated virtually immediately by ceasing operations. Note that both variable and fixed costs include both explicit and opportunity costs. 101 Analysis of the Firm Average and Marginal Cost Measures Total Cost Variable Cost Fixed Cost Average Total Cost Total Cost Units Output Average Variable Cost Average Fixed Cost Marginal Cost Variable Cost Units Output Fixed Cost Units Output Average cost measures are useful for analyzing costs that the firm has incurred up to the present. Marginal cost measures are useful analyzing costs that the firm will incur in the future. Total Cost Units Output 102 Analysis of the Firm Economies and diseconomies of scale arise from the non-linear relationship between inputs and output. Production Stage I As inputs rise, output rises proportionally more. Example: Double inputs and output more than doubles. Cause: Adding inputs presents opportunities for specialization. Production Stage II As inputs rise, output rises proportionally less. Example: Double inputs and output less than doubles. Cause: Adding inputs creates physical and/or managerial congestion. 103 Analysis of the Firm Stages of production give rise to economies and diseconomies of scale Economies of scale: Average cost as decreases as output increases. Diseconomies of scale: Average cost increases as output increases. Units Output Total Cost Average Total Cost 10,000 $1.0 million $1.0 million / 10,000 = $100 15,000 $1.4 million $1.4 million / 15,000 = $93 20,000 $1.9 million $1.9 million / 20,000 = $95 Economies of scale Diseconomies of scale 104 Analysis of the Firm $ ATC AVC MC Economies of Scale Diseconomies of Scale AFC Units output Specialization Increasing Returns to Variable Factors Decreasing Returns to Variable Factors Congestion 105 Analysis of the Firm $ ATC AVC MC Economies of Scale AFC Units output Specialization Over this range, the firm continues to experience economies of scale despite the fact that congestion has set in the congestion is not yet severe enough to have overcome the cumulative positive effect of specialization 106 Analysis of the Firm Your firm can produce 10,000 units of product at a total cost of $1 million, or 11,000 units of product at a total cost of $1.2 million. Your firm can sell, at a fixed price of $120 per unit, as much product as it can produce. Should your firm produce 10,000 units or 11,000 units? Average cost analysis Average cost @ 10,000 units = $1 million / 10,000 = $100 per unit Average cost @ 11,000 units = $1.2 million / 11,000 = $109 per unit At a price of $120 per unit, price exceeds per-unit cost. Produce the extra 1,000 units. Marginal cost analysis Marginal cost of additional 1,000 units = Δ Total Cost / Δ Units Output = ($1.2 m. – $1 m.) / (11,000 – 10,000) = $200 per unit At a price of $120 per unit, price is less than marginal cost. Do not produce the extra 1,000 units. 107 Analysis of the Firm Output rule for profit maximization Produce the output level at which MR = MC. Suppose MR > MC If the firm increases its output level, what it gains in sales (MR) exceeds what it loses in increased costs (MC). As the firm increases its output level, MC rises thereby resulting in MR = MC. Suppose MR < MC If the firm decreases its output level, what it loses in sales (MR) is less than what it saves in decreased costs (MC). As the firm decreases its output level, MC falls thereby resulting in MR = MC. 108 Analysis of the Firm Consider a simple case wherein the firm can sell as many units as it wants at a fixed price. Example The market price is $100 per unit. If the firm sells 50 units, its TR = ($100)(50) = $5,000 If the firm sells 51 units, its TR = ($100)(51) = $5,100 MR = ΔTR / ΔQ = ($5,100 – $5,000) / (51 – 50) = $100 When MR = Price, we say that the firm is a price taker. When would MR not be the same as price? If, in altering the quantity of output produced, the firm caused a change in the market price. We say that the firm is a price setter. 109 Analysis of the Firm A Price Taking Firm Firm’s output level has no impact on market price MR = Price $ MC ATC AVC P = $15 P = $10 AFC Q = 150 When P=$10, MR = MC at an output of 150 units firm will produce 150 units Q = 200 Units output When P=$15, MR = MC at an output of 200 units firm will produce 200 units 110 Analysis of the Firm $ MC ATC AVC Breakeven price Shutdown price AFC Units output 111 Analysis of the Firm Three Pricing Scenarios Price is above breakeven price: Price > ATC Firm is making an economic profit Price is below breakeven price but above shutdown price: ATC > Price > AVC Firm is incurring a loss and should continue producing in the short run. In the long run, the firm must either shutdown or reorganize. Price is below shutdown price: AVC > Price Firm is incurring a loss and should shutdown in the short run. 112 Analysis of the Firm Example A firm’s profit maximizing output level is 1,000 units per day. The firm’s fixed costs are $50,000 per day. At 1,000 units per day, the firm’s variable costs are $80,000 per day. What are the firm’s AVC and ATC? AVC $80,000 per day $80 per unit 1,000 units per day AFC $50,000 per day $50 per unit 1,000 units per day ATC AVC AFC $80 per unit $50 per unit $130 per unit 113 Analysis of the Firm Example A firm’s profit maximizing output level is 1,000 units per day. The firm’s fixed costs are $50,000 per day. At 1,000 units per day, the firm’s variable costs are $80,000 per day. The market price of the firm’s product is $100 per unit. How much profit would the firm make (a) if it continued to produce and (b) if it shutdown? Continue to produce VC $80 per unit per day 1, 000 units per day $80, 000 per day FC $50, 000 per day TC VC FC $80, 000 per day $50, 000 per day $130, 000 per day TR Price per unit Units per day $100 1, 000 $100, 000 per day Profit TR TC $100, 000 per day $130, 000 per day $30, 000 per day 114 Analysis of the Firm Example A firm’s profit maximizing output level is 1,000 units per day. The firm’s fixed costs are $50,000 per day. At 1,000 units per day, the firm’s variable costs are $80,000 per day. The market price of the firm’s product is $100 per unit. How much profit would the firm make (a) if it continued to produce and (b) if it shutdown? Shutdown VC $80 per unit per day 0 units per day $0 per day FC $50, 000 per day TC VC FC $0 per day $50, 000 per day $50, 000 per day TR Price per unit Units per day $100 0 $0 per day Profit TR TC $0 per day $50, 000 per day $50, 000 per day Firm is better off producing at a loss than shutting down. 115 Quantitative Analysis of a Firm We have already seen how to estimate a demand function. If the unit sales data we use to estimate demand are unit sales for a single firm, then the demand function we obtain is the firm demand function. If the unit sales data we use to estimate demand are unit sales for the industry, then the demand function we obtain is the industry demand function. To estimate the firm’s total cost function, we employ data on the firm’s unit sales, the firm’s accounting costs, and the firm’s opportunity costs. 116 Quantitative Analysis of a Firm Data Set #2 contains monthly unit sales and cost figures for a firm. 1. For each month, calculate the firm’s total accounting cost, opportunity cost, total (economic) cost, and ATC. Total accounting cost COGS SG&A D&A 0.08 Opportunity cost Total accounting cost 12 Total (economic) cost Total accounting cost Opportunity cost ATC Total cost Units output 117 Quantitative Analysis of a Firm Data Set #2 contains monthly unit sales and cost figures for a firm. 2. Using the unit sales data, the total (economic) cost data, and knowledge of the expected shape of the total cost function, estimate the ATC function. We expect ATC to be parabolic ATC should be a function of both Q and Q 2. Because AFC = FC / Q, we also expect ATC to be a function of 1/Q. Use OLS to estimate the ATC function. ATC 1Q 2Q 2 3 1 Q u ATC $0.2710 $0.2742 $0.3152 $0.2593 $0.3514 $0.2668 $0.3268 $0.2867 $0.2662 $0.2988 $0.2622 $0.3040 $0.2657 Q 169,344 242,431 110,871 211,975 91,596 171,039 246,864 247,696 171,600 128,896 224,079 249,964 180,304 Q^2 28,677,390,336 58,772,789,761 12,292,378,641 44,933,400,625 8,389,827,216 29,254,339,521 60,941,834,496 61,353,308,416 29,446,560,000 16,614,178,816 50,211,398,241 62,482,001,296 32,509,532,416 1/Q 5.90514E-06 4.12489E-06 9.01949E-06 4.71754E-06 1.09175E-05 5.84662E-06 4.05081E-06 4.03721E-06 5.82751E-06 7.75819E-06 4.46271E-06 4.00058E-06 5.54619E-06 118 Quantitative Analysis of a Firm 2. Using the unit sales data, the total (economic) cost data, and knowledge of the expected shape of the total cost function, estimate the ATC function. SUMMARY OUTPUT Regression Statistics Multiple R 0.889690194 R Square 0.791548642 Adjusted R Square 0.777651885 Standard Error 0.013371982 Observations 49 ANOVA df Regression Residual Total Intercept X Variable 1 X Variable 2 X Variable 3 3 45 48 SS 0.030554626 0.008046446 0.038601072 MS F Significance F 0.010184875 56.95923371 2.31706E-15 0.00017881 Coefficients Standard Error t Stat P-value 0.970926175 0.300855057 3.227222387 0.002333554 -6.00076E-06 1.86697E-06 -3.214177278 0.002421263 1.43492E-11 3.66995E-12 3.909921027 0.000308356 -17505.55997 15232.04504 -1.149258679 0.256521162 Lower 95% Upper 95% 0.364972994 1.576879356 -9.76103E-06 -2.2405E-06 6.95755E-12 2.17409E-11 -48184.47307 13173.35312 ATC = 0.9709 – (0.000006) Q + (0.00000000001) Q2 – 17505 / Q 119 Quantitative Analysis of a Firm 3. Find the firm’s efficient output level. Minimize the ATC function with respect to Q. ATC = 0.9709 – (0.000006) Q + (0.00000000001) Q2 – 17505 / Q ATC is minimum when Q = 192,665. 4. Find the firm’s breakeven price. Breakeven price is the minimum attainable ATC. ATC = 0.9709 – (0.000006)(192,665)+ (0.00000000001)(192,665) – 17505 / 192,665 = $0.26 120 Quantitative Analysis of a Firm 5. Looking at the data, at what output level was the firm’s ATC minimum? ATC was minimum ($0.2593) at 211,975 output. 6. Explain why this figure differs from the figure we calculated in step #3. Step #3 gave us the best estimate of the efficient output level. Step #5 gave the output level that, possibly by random chance, produced the historically lowest ATC. 121 Quantitative Analysis of a Firm Using Data Set #2, find the firm’s shutdown price. The shutdown price is the minimum attainable AVC. AVC = α + β1 Q + β2 Q 2 SUMMARY OUTPUT Regression Statistics Multiple R 0.917876354 R Square 0.842497001 Adjusted R Square 0.835649045 Standard Error 0.014106472 Observations 49 ATC $0.1476 $0.1904 $0.1345 $0.1639 $0.1314 $0.1480 $0.2452 $0.2025 $0.1482 $0.1379 $0.1713 $0.2224 $0.1509 Q 169,344 242,431 110,871 211,975 91,596 171,039 246,864 247,696 171,600 128,896 224,079 249,964 180,304 Q^2 28,677,390,336 58,772,789,761 12,292,378,641 44,933,400,625 8,389,827,216 29,254,339,521 60,941,834,496 61,353,308,416 29,446,560,000 16,614,178,816 50,211,398,241 62,482,001,296 32,509,532,416 ANOVA df Regression Residual Total Intercept X Variable 1 X Variable 2 2 46 48 SS 0.048963697 0.009153658 0.058117355 MS F Significance F 0.024481849 123.0289656 3.4486E-19 0.000198993 Coefficients Standard Error t Stat P-value 0.222387617 0.02876938 7.73001074 7.41553E-10 -1.41482E-06 3.53371E-07 -4.003778415 0.000225205 5.5078E-12 9.90754E-13 5.559200359 1.31852E-06 Lower 95% 0.164477859 -2.12612E-06 3.51352E-12 Upper 95% 0.280297375 -7.03521E-07 7.50209E-12 122 Quantitative Analysis of a Firm Using Data Set #2, find the firm’s shutdown price. AVC = 0.2239 – (0.0000014) Q + (0.00000000006) Q2 Minimum AVC is $0.13 (at Q = 128,438) this is the shutdown price. 123 Industry Structures Industry structure refers to the market power that individual firms in an industry have. Individual firms have less influence over the market price Perfect/Pure Competition Monopolistic Competition Individual firms have greater influence over the market price Oligopoly Monopoly 124 Industry Structures Perfect/Pure Competition 1. Many firms 2. Individual firm’s output is small relative to the market 3. Firms produce a homogeneous product 4. Free entry/exit to/from the industry 5. All market participants have full information (perfect competition) Monopolistic Competition 1. Many firms 2. Individual firm’s output is small relative to the market 3. Firms produce a heterogeneous product 4. Free entry/exit to/from the industry Oligopoly 1. Few, but more than one, firms 2. Individual firm’s output is large relative to the market 3. May or may not be free entry/exit to/from the industry Monopoly 1. (Usually) one firm 2. Individual firm’s output is virtually the entirety of the market 3. May or may not be free entry/exit to/from the industry 125 Perfect/Pure Competition $ Cost curves depict a single firm in the industry Equilibrium price is determined by the market S $ MC ATC AVC D Q AFC Q All firms in the industry charge the market price (firms are “price takers”) MR = Price 126 Perfect/Pure Competition A Single Firm in the Industry $ MC 3. Firm’s ATC is here ATC AVC MR 1. Equilibrium price is here AFC Q 4. Area is economic loss 2. Profit max output is here 127 Perfect/Pure Competition Firm is incurring an economic loss The accounting profit the firm is making is less than the accounting profit earned by firms in other industries that are exposed to comparable risk. A Single Firm in the Industry $ MC ATC AVC MR AFC Q The economic loss provides incentive (1) for firms to exit to similar industries (e.g. due to low margins in the PC market, HewlettPackard will likely sell off its PC division and focus on its printer division), and (2) for firms to shut down entirely (e.g. due to on-going losses, Eastern Airlines shut down in 1991). 128 Perfect/Pure Competition $ 1. Departure of firms from the industry is a negative producer shock Supply decreases S’ S $ A Single Firm in the Industry MC ATC AVC D AFC 2. Decrease in supply causes market price to rise Q 4. When economic profit reaches zero, there is no longer incentive for firms to leave the industry and so price stabilizes. 3. As market price rises, profit maximizing output level and economic profit increase Q 129 Perfect/Pure Competition Equilibrium price is determined by the market $ $ S MC MR ATC AVC D AFC Q Q All firms in the industry charge the market price (firms are “price takers”) MR = Price 130 Perfect/Pure Competition A Single Firm in the Industry $ 1. Equilibrium price is here MC MR ATC AVC 3. Firm’s ATC is here AFC Q 4. Area is economic profit 2. Profit max output is here 131 Perfect/Pure Competition Firm is incurring an economic profit The accounting profit the firm is making is more than the accounting profit earned by firms in other industries that are exposed to comparable risk. A Single Firm in the Industry $ MC MR ATC AVC AFC Q The economic profit provides incentive (1) for firms in similar industries to enter this industry (e.g. in the 1980’s Hewlett-Packard, which made mainframe computers, entered the PC industry), and (2) for entrepreneurs to create new firms in this industry (e.g. in the 1990’s Dell computer was launched as a PC manufacturer/retailer). 132 Perfect/Pure Competition 1. Entrance of firms to the industry is a positive producer $ shock Supply increases $ S A Single Firm in the Industry MC S’ ATC AVC D AFC 2. Increase in supply causes market price to rise Q 4. When economic profit reaches zero, there is no longer incentive for firms to enter the industry and so price stabilizes. 3. As market price falls, profit maximizing output level and economic profit decrease Q 133 Perfect/Pure Competition A firm that produces at the minimum attainable ATC is called “efficient.” $ MC ATC Efficient firms utilize the minimum possible resources to produce their product. From an economy-wide perspective, efficient firms are good because they waste little or no resources. AVC AFC Q Efficient output is the output level at which ATC is minimum. 134 Perfect/Pure Competition Conclusions 1. In the short-run, firms in perfect/pure competition may make an economic profit or incur an economic loss. 2. In the long-run, firms in perfect/pure competition will make zero economic profit. 3. Firms in perfect/pure competition are efficient in the long-run. 135 Monopoly In a monopoly industry there is (usually) one firm. The firm represents (virtually) the entirety of market supply. There are instances in which an industry may contain a single very large firm and some (perhaps many) very small firms (e.g. long distance service prior to AT&T’s breakup). In such an industry, the large firm behaves as if it were the only firm and the small firms behave as if they were in perfect competition. 136 Monopoly A firm that can influence the market price does so by altering output. When the firm increases output, a surplus results and the market price falls. When the firm decreases output, a shortage results and the market price rises. When a firm can alter the market price by altering output, MR is no longer equal to price. Example • A large firm produce 100 units per day. • The resulting market price is $10 per unit. • TR = ($10 per unit)(100 units per day) = $1,000 per day If the firm increases its output to 110 units per day, a surplus results. The market price falls to $9.95 per unit. TR = ($9.95 per unit)(110 units per day) = $1,094.50 per day MR = ΔTR/ΔQ = ($1,094.50 – $1,000) / (110 – 100) = $9.45. MR is less than price because the increase in output lowers the price for all units. 137 Monopoly $ A Monopoly Firm …the resulting price is $10… D …but the MR is $9.45. MR Q When the firm produces 100 units… 138 Monopoly $ A Monopoly Firm MC 2. Resulting price is determined by D ATC 4. Economic profit is profit-per-unit multiplied by units sold. 3. Cost per unit is determined by ATC D MR Q 1. Firm produces where MR = MC 139 Monopoly $ A Monopoly Firm MC ATC Notice that the firm’s efficient output level is different from its profit maximizing output level. D MR Q Efficient output level Profit maximizing output level 140 Monopoly $ Produce at Profit Max Output $ MC Produce at Efficient Output MC ATC ATC D MR D MR Q If the firm were to produce at the efficient output level, gains in cost savings due to lower per-unit costs would be more than offset by losses in revenue due to decreased price. 141 Monopoly Suppose a monopoly firm faces the following demand and average total cost functions P 6, 354 4.5Q ATC 3, 021 4.9Q 0.002Q 2 100 Q 1. Find the firm’s profit maximizing output level. Hint: Use Excel’s SOLVER to maximize profit with respect to output. Q ATC 3, 021 4.9Q 0.002Q 2 P 6, 354 4.5Q TR P Q Profit TR TC 100 Q TC ATC Q Q = 815 maximizes profit 142 Monopoly Suppose a monopoly firm faces the following demand and average total cost functions P 6, 354 4.5Q ATC 3, 021 4.9Q 0.002Q 2 100 Q 2. Find the market price that results when the firm produces at its profit maximizing output level P = 6,354 – (4.5)(815) – 100/Q = $2,686.68 3. Find the firm’s ATC when it produces at the profit maximizing output level. ATC = 3,021 – 4.9Q + 0.002Q 2 – 100/Q = $356.14 4. Find the firm’s economic profit when it produces at the profit maximizing output level. Profit = TR – TC = (P)(Q) – (ATC)(Q) = ($2,686.68)(815) – ($356.14)(815) = $1.9 million 143 Monopoly Suppose a monopoly firm faces the following demand and average total cost functions P 6, 354 4.5Q ATC 3, 021 4.9Q 0.002Q 2 100 Q 5. Find the efficient output level. Hint: Use SOLVER to minimize ATC with respect to output. Q = 1,225 6. Find the firm’s ATC when it produces at the efficient output level. ATC = 3,021 – 4.9Q + 0.002Q 2 – 100/Q = $19.83 7. Find the market price that would result if the firm produced at the efficient output level. P = 6,354 – (4.5)(1,225) = $841.43 144 Monopoly Suppose a monopoly firm faces the following demand and average total cost functions P 6, 354 4.5Q ATC 3, 021 4.9Q 0.002Q 2 100 Q 8. Find the firm’s economic profit when it produces at the efficient output level. Profit = TR – TC = (P)(Q) – (ATC)(Q) = ($841.43)(1,225) – ($19.83)(1,225) = $1.0 million 145 Monopoly $ $2,686.68 $356.14 $19.83 MC ATC $1.9 million D MR 815 1,225 Q 146 Monopoly Conclusions 1. The monopoly firm makes an economic profit. 2. The monopoly firm is inefficient. 147 Oligopoly In an oligopoly industry, there are several firms. Each of the firms is large enough (relative to the market) to cause an impact on the market price via altering output. An oligopoly exists in one of three states 1. Competitive oligopoly Firms do not coordinate their production levels. 2. Cartel oligopoly Firms coordinate their production levels effectively acting as a single firm. 3. Chiseling oligopoly One or more firms renege on a cartel agreement while other firms adhere to the cartel agreement. 148 Oligopoly Suppose an oligopoly industry is comprised of two firms (a two-firm oligopoly is sometimes called a duopoly). The firms face the following demand and average total cost functions: P 6,354 4.5 Q1 Q 2 ATC1 3,021 4.9Q1 0.002Q12 ATC2 3,021 4.9Q 2 0.002Q 22 Notice that the two firms face the same market price, P, and that the market price is determined by the combined output of the two firms. 149 Oligopoly P 6,354 4.5 Q1 Q 2 ATC1 3,021 4.9Q1 0.002Q12 ATC2 3,021 4.9Q 2 0.002Q 22 1. Assume that the industry is a competitive oligopoly. Find the profit maximizing output levels, ATC, and profits for the two firms. Follow an iterative procedure in which you set the output level for one firm, then find the profit maximizing output for the other firm. Example: Set both the output of each firm to 400 units. Firm #1 Firm #2 Q 400 400 P $2,754 $2,754 ATC $1,381 $1,381 TR $1,101,600 $1,101,600 TC $552,400 $552,400 Profit $549,200 $549,200 150 Oligopoly P 6,354 4.5 Q1 Q 2 ATC1 3,021 4.9Q1 0.002Q12 ATC2 3,021 4.9Q 2 0.002Q 22 1. Assume that the industry is a competitive oligopoly. Find the profit maximizing output levels, ATC, and profits for the two firms. Example: Given that Firm #2 is producing 400 units, adjust Firm #1’s output so as to maximize the profit for Firm #1. Firm #1 Firm #2 Q 577 400 P $1,960 $1,960 ATC $861 $1,381 TR $1,129,787 $783,875 TC $496,274 $552,400 Profit $633,513 $231,475 151 Oligopoly P 6,354 4.5 Q1 Q 2 ATC1 3,021 4.9Q1 0.002Q12 ATC2 3,021 4.9Q 2 0.002Q 22 1. Assume that the industry is a competitive oligopoly. Find the profit maximizing output levels, ATC, and profits for the two firms. Example: Now, given Firm #1’s profit maximizing output, adjust Firm #2’s output so as to maximize the profit for Firm #2. Firm #1 Firm #2 Q 577 424 P $1,852 $1,852 ATC $861 $1,304 TR $1,067,989 $785,125 TC $496,274 $552,462 Profit $571,715 $232,663 152 Oligopoly P 6,354 4.5 Q1 Q 2 ATC1 3,021 4.9Q1 0.002Q12 ATC2 3,021 4.9Q 2 0.002Q 22 1. Assume that the industry is a competitive oligopoly. Find the profit maximizing output levels, ATC, and profits for the two firms. Example: Given Firm #2’s profit maximizing, adjust Firm #1’s output so as to maximize the Firm #1’s profit. Firm #1 Firm #2 Q 559 424 P $1,933 $1,933 ATC $908 $1,304 TR $1,079,786 $819,134 TC $507,121 $552,462 Profit $572,666 $266,673 153 Oligopoly P 6,354 4.5 Q1 Q 2 ATC1 3,021 4.9Q1 0.002Q12 ATC2 3,021 4.9Q 2 0.002Q 22 1. Assume that the industry is a competitive oligopoly. Find the profit maximizing output levels, ATC, and profits for the two firms. Continue iteratively until the two profit maximizing output levels converge. Firm #1 Firm #2 Q 498 498 P $1,870 $1,870 ATC $1,076 $1,076 TR $931,613 $931,613 TC $536,159 $536,159 Profit $395,454 $395,454 154 Oligopoly P 6,354 4.5 Q1 Q 2 ATC1 3,021 4.9Q1 0.002Q12 ATC2 3,021 4.9Q 2 0.002Q 22 2. Assume that the industry is a cartel oligopoly. Find the profit maximizing output levels, ATC, and profits for the two firms. Maximize the combined profits of the two firms with respect to the two firm’s output levels. Firm #1 Firm #2 Q 328 328 P $3,404 $3,404 ATC $1,630 $1,630 TR $1,115,778 $1,115,778 TC $534,223 $534,223 Profit $581,555 $581,555 155 Oligopoly P 6,354 4.5 Q1 Q 2 ATC1 3,021 4.9Q1 0.002Q12 ATC2 3,021 4.9Q 2 0.002Q 22 3. Assume that Firm #1 adheres to the cartel profit maximizing output level, but that Firm #2 chisels. Find the profit maximizing output levels, ATC, and profits for the two firms. Set Firm #1’s output at the cartel profit max level and maximize Firm #2’s profit with respect to Firm #2’s output. Firm #1 Firm #2 Q 328 627 P $2,057 $2,057 ATC $1,630 $735 TR $674,298 $1,289,846 TC $534,223 $460,750 Profit $140,075 $829,096 156 Oligopoly Compare the results from the three cartel scenarios Competitive Oligopoly Q P Firm #1 498 $1,870 Firm #2 498 $1,870 ATC $1,076 $1,076 TR $931,613 $931,613 TC $536,159 $536,159 Profit $395,454 $395,454 Cartel Oligopoly Q Firm #1 328 Firm #2 328 P $3,404 $3,404 ATC $1,630 $1,630 TR $1,115,778 $1,115,778 TC $534,223 $534,223 Profit $581,555 $581,555 Chiseling Oligopoly Q Firm #1 328 Firm #2 627 P $2,057 $2,057 ATC $1,630 $735 TR $674,298 $1,289,846 TC $534,223 $460,750 Profit $140,075 $829,096 157 Oligopoly Cartel Instability and the Cyclicality of Oligopoly Structure 1. Starting from a competitive oligopoly, firms have incentive to form a cartel thereby increasing their profits at the expense of consumers. 2. Once a cartel is formed, individual firms have incentive to chisel on the cartel agreement thus garnering even more profit, though at the expense of the other oligopolists and to the benefit of consumers. 3. Firms remaining in the cartel now have even more incentive to chisel. As the cartel agreement falls apart, firms are now acting independently return to competitive oligopoly. 158 Oligopoly Conclusions 1. In a competitive oligopoly, firms make an economic profit and are inefficient. 2. In a cartel oligopoly, firms make greater economic profit and are more inefficient than in a competitive oligopoly. 3. In a chiseling oligopoly, the chiseling firms make greater economic profit and are less inefficient than in a cartel oligopoly, while the non-chiseling firms make less economic profit and are as inefficient as in a cartel oligopoly. 159 Monopolistic Competition In a monopolistically competitive industry, there are many firms. Individual firms are too small to impact the market price for the brand category, but, via product differentiation, can influence the market prices of their individual brands. To the extent that the consumer focuses on the brand category, the individual firm acts like a firm in perfect competition. To the extent that the consumer focuses on the individual brand, the individual firm acts like a monopoly (i.e. the individual firm is the only producer of a given brand). Whereas oligopoly and monopoly firms rely more on their abilities to impact market price via changes in their output levels, monopolistically competitive firms rely more on their abilities to impact the prices of their individual brands via shifts in the firm demand curves due to product differentiation and marketing. 160 Monopolistic Competition Monopolistic Competition and the Consumer Information Problem Consumer information problem Consumers must acquire enough information to make an informed purchase decision, but information gathering is costly (both explicitly and cognitively). Monopoly Industry Lack of competing brands makes information gathering negligible. Oligopoly Industry Few competing brands makes information gathering low cost. Perfect Competition Intense competition causes competing brands to be identical making information gathering negligible. Monopolistic Competition Many different brands makes information gathering very costly. 161 Monopolistic Competition The iterative choice process and consumer information External Uncertainty Partial Information Measurement Error Obsolete Information True Brand Universe Brand information mitigates external uncertainty Estimated Brand Universes Perceived Brand Universe Perceived Product-Market Characteristics Characteristics True Utilities Internal Uncertainty Absolute Error Utility Relative Error Utility Cluster Sizes Cluster Variances Cluster Frontiers Brand Variances Granularity Consideration Choice-GivenConsideration Estimated Utilities Consumption experience mitigates internal uncertainty 162 Monopolistic Competition Affordability A Consumer’s Perceived Brand Universe Affordability cluster Budweiser MGD Coors Genesee Cluster frontier combines the best attributes of the observed brands within the cluster Taste cluster Samuel Adams Heineken Fosters Guinness Taste 163 Monopolistic Competition Affordability Characteristics of the Perceived Brand Universe Cluster frontier: How far away are brands from the frontier Budweiser Cluster size: How many brands are in a cluster MGD Coors Genesee Granularity: How distinct are the clusters from each other Cluster variance: How “spread out” are brands within a cluster Samuel Adams Heineken Brand variance: How uncertain is the consumer about a brand’s true attributes Fosters Guinness Taste 164 Monopolistic Competition Compensatory vs. Non-Compensatory Decision-Making Compensatory Decision-Making: Levels of one attribute are traded-off for levels of another attribute. Example: A car buyer chooses a less powerful engine in exchange for greater fuel efficiency. Non-Compensatory Decision-Making: Levels of an attribute must surpass some minimal boundary independent of other attribute levels. Example: A home buyer requires a minimum of three bedrooms regardless of location, number of bathrooms, garage, etc. Pros and Cons: Compensatory decision-making • Cognitively costly • Unlikely to erroneously reject brands Non-compensatory decision-making • Cognitively inexpensive • Likely to erroneously reject brands 165 Monopolistic Competition Affordability A Consumer’s Perceived Brand Universe Consideration Phase: Consumer selects a single cluster of brands via non-compensatory decision-making Budweiser MGD Coors Genesee Choice Phase: Consumer selects a single brand from within the consideration cluster via compensatory decision-making Samuel Adams Heineken Fosters Guinness Taste 166 Monopolistic Competition Pr Choice Pr Consideration Pr Choice | Consideration Behavioral Propositions 1. An increase in cluster size increases the consumer’s probability of consideration for the cluster. 2. An increase in cluster variance decreases the consumer’s probability of consideration for the cluster. 3. An increase in the distance of a brand to its cluster frontier decreases the probability of choice-given-consideration for the brand. 4. An increase in brand variance decreases the effect of a brand’s distance-tofrontier on the probability of choice-given-consideration. 5. An increase in granularity increases the effect of cluster size on the probability of consideration, and decreases the effect of cluster variance on the probability of consideration. 167 Monopolistic Competition Red Dog’s introduction increased the size of the cluster. Because Red Dog was positioned close to MGD, there was minimal impact on the cluster variance. Net result: Red Dog’s introduction increased Pr(Consideration) for the cluster Conclusion: Pr(Choice) for MGD (and, in fact, all brands within the cluster) increased MGD gained market share at the expense of “imports.” Affordability Case Study: Miller’s Red Dog Brand Red Dog’s introduction did not move the cluster frontier no impact on Pr(Choice|Consideration) Budweiser Red Dog MGD Coors Genesee Miller introduces a new brand, Red Dog. Miller positions Red Dog to be close, but strictly inferior to its flagship brand MGD. Samuel Adams Heineken Fosters Guinness Taste 168 Monopolistic Competition Ad campaign reduces the perceived distance between Ben & Jerry’s and the cluster frontier. Result: Campaign increased Pr(Choice-givenConsideration) for Ben & Jerry’s. Conclusion: Pr(Choice) for Ben & Jerry’s increased Ben & Jerry’s gained market share at the expense of other premium ice-creams. Calories (reverse scale) Case Study: Ben & Jerry’s Ice Cream Ben & Jerry’s launches an ad campaign around the phrase, “High calories are the price of great taste.” Weight Watchers Carnival Edys Campaign causes consumers to believe that the previously-perceived frontier is unattainable. Consumers perceive a new frontier that reflects the tradeoff of taste with calories. Haagen-Dazs Ben & Jerry Breyers Taste 169 Monopolistic Competition Pr Choice Pr Consideration Pr Choice | Consideration The firm’s goal is to increase the Pr(Choice) for its brand. Whether the firm should focus on increasing Pr(Consideration) or increasing Pr(Choice|Consideration) depends on the probabilities. Example Pr(Choice) = 1.0 and Pr(Choice|Consideration) = 0.1 Pr(Choice) = 0.1 Marketing effort aimed at increasing Pr(Consideration) is wasted. Firm should focus on increasing Pr(Choice|Consideration). Example Pr(Choice) = 0.1 and Pr(Choice|Consideration) = 1.0 Pr(Choice) = 0.1 Marketing effort aimed at increasing Pr(Choice|Consideration) is wasted. Firm should focus on increasing Pr(Consideration). 170 Monopolistic Competition A Monopolistically Competitive Firm in the Long Run $ 2. Resulting price MC ATC D 3. Cost per unit 4. Zero economic profit MR Q 5. Efficient output level 1. Profit maximizing output level 171 Monopolistic Competition A Monopolistically Competitive Firm in the Short Run $ MC D’ ATC MR’ D MR Q Firm increases Pr(Choice) for its brand via increase in Pr(Consideration) and/or increase in Pr(Choice | Consideration) Demand (and MR) increases 172 Monopolistic Competition A Monopolistically Competitive Firm in the Short Run $ 4. Economic profit MC 2. Resulting price D’ ATC MR’ 3. Cost per unit Q 5. Efficient output level 1. Profit maximizing output level 173 Monopolistic Competition A Monopolistically Competitive Firm Returning to the Long Run State $ MC D’ ATC MR’ D’’ MR’’ Q In the long run, either (a) competitors duplicate the firm’s brand innovation (e.g. cruise control), or (b) consumers realize that the supposed innovation has no real value (e.g. “ice” beers). Either way, demand (and MR) for the firm’s brand declines. 174 Monopolistic Competition A Monopolistically Competitive Firm in the Short Run $ MC ATC D MR’ MR D’ Q A competing firm causes an increase in Pr(Choice) for its brand. If that increase comes at the expense of this brand’s market share, then this firm’s demand decreases. 175 Monopolistic Competition A Monopolistically Competitive Firm in the Short Run $ 3. Cost per unit MC 4. Economic loss ATC 2. Resulting price MR’ D’ Q 1. Profit maximizing output level 5. Efficient output level 176 Monopolistic Competition A Monopolistically Competitive Firm in the Short Run $ MC ATC D’’ MR’ MR’’ D’ Q In the long run, either (a) this firm duplicates the competitor’s brand innovation, or (b) consumers realize that the competitor’s supposed innovation has no real value. Either way, demand (and MR) for this firm’s brand increases. 177 Monopolistic Competition Conclusions 1. Firms can make an economic profit or incur an economic loss in the short-run. 2. Firms make zero economic profit in the long run. 3. Firms are usually inefficient in both the short and long runs. Monopolistic Competition or Perfect Competition? If the summed expected present values of the economic profits due to marketing exceed the sum of the present values of the costs of marketing campaigns plus the summed expected present values of the economic losses due to competitors’ marketing campaigns, then a given industry will be monopolistically competitive rather than perfectly competitive. Firms will continue to advertise in an attempt to garner short-run “bursts” of economic profit (e.g. Budweiser advertises during every Super Bowl). 178 Long Run vs. Short Run ATC Long Run vs. Short Run ATC Thus far, the ATC curve we have seen has been constructed holding long run costs fixed. In the long run, all costs (including “fixed” costs) become variable. We can now distinguish between short run ATC and long run ATC. The short run ATC (i.e. the ATC curve we have so far been using) assumes that long run costs are fixed. The long run ATC allows for long run costs to be variable. 179 Long Run vs. Short Run ATC SRATC’s – each corresponds to a different level of fixed costs $ LRATC Q 180 Long Run vs. Short Run ATC 1. Suppose the firm’s fixed costs are $100,000 per week. This is the firm’s SRATC function. $ 3. If, in the long run, the firm acquires more PP&E, its fixed costs will increase to $150,000 per week and the firm’s SRATC will move here. LRATC 2. With fixed costs of $100,000 per week, the firm’s efficient output level is 20,000 units per week. Q 4. With the additional PP&E, the firm’s efficient output level is 25,000 units per week. 181 Long Run vs. Short Run ATC This is the lowest ATC that can be attained in the long run. If the firm were to produce any more or any less output, or have any more or any less PP&E, the firm’s cost per unit would rise above this point. $ In the long run, the firm acquires still more PP&E and so the firm’s SRATC again shifts. LRATC We call this the long run efficient output level. To achieve long run efficiency, the firm would have to produce this much output and have the long run efficient quantity of PP&E. Q With the additional PP&E, this is the firm’s new efficient output level. 182 Determinants of Industry Structure Whether an industry will develop more to the extreme of monopoly or more to the extreme of perfect competition depends on two factors: 1. Firms’ LRATC functions, and 2. Market demand. The LRATC function is determined by technology and the prices of factors. Market demand is determined by consumers. The implication is that the factors that determine the degree of competition within an industry are independent of the skills of the managers involved. If market forces are such that a particular industry will evolve toward perfect competition, then it will be impossible for any single firm to successfully establish itself as a monopoly within that industry. 183 Determinants of Industry Structure 1. Suppose all firms in the industry have LRATC’s that look like this. $ LRATC $10 3. Without incurring a loss, the lowest price a firm could possibly charge is $10. 2. Suppose market demand is positioned here. 5. If all the firms in the industry charge $10, the quantity market demanded will be 500,000 units per day. 6. In equilibrium, there must be 1,000 firms. 500,000 / 500 = 1,000 firms 500 D 500,000 Q 4. To charge a price of $10 and not incur a loss, the firm must produce 500 units of output per day using the long run efficient quantity of fixed factors. 184 Determinants of Industry Structure 1. Suppose all firms in the industry have LRATC’s that look like this. 2. Suppose market demand is positioned here. $ LRATC $10 3. Without incurring a loss, the lowest price a firm could possibly charge is $10. 6. In equilibrium, there can be only 1 firm. 10,000 D 5. If all the firms in the industry charge $10, the market quantity demanded will be 10,000 units per day. Q 4. To charge a price of $10 and not incur a loss, the firm must produce 10,000 units of output per day using the long run efficient quantity of fixed factors. 185 Government Intervention Government intervention takes the following typical forms: Price controls By law, certain products cannot be sold below a price floor (e.g. workers are prohibited from selling their labor for less than the minimum wage) or above a price ceiling (e.g. state laws prohibit credit card companies from charging more than (in some states) 40% interest, rent control limits the rent landlords can charge in NYC). Quotas By law, producers may not sell more than a certain quantity of product per time period. Quotas are most often imposed on imports and infrequently imposed on domestically produced products. Technical Regulations By law, producers must produce products to a certain standard or via a certain method. Example: Cars sold in the U.S. must adhere to EPA regulations. Employers must adhere to OSHA safety regulations in the workplace. 186 Government Intervention Taxes Types of taxes: • • • • • • Income tax (tax on wages and salaries, and interest and dividend income) Sales tax (tax on the value of products sold – e.g. 6% of the sale) Excise tax (tax on the quantity of products sold – e.g. 35 cents per gallon of gas) Capital gains tax (tax on the difference between the sale and purchase prices) Property tax (periodic tax on owned assets) Tariff (tax on imports) Classifications of taxes: • • • • Flat (called “poll” in the media; tax is same dollar amount for all) Proportional (called “flat” in the media; tax is same percentage of income for all) Progressive (tax is a greater percentage of income for higher income people) Regressive (tax is a lesser percentage of income for higher income people) 187 Who Pays Federal Personal Income Taxes? 100% 90% Proportion of Tax Revenues 80% 70% 60% 50% 40% 30% 20% 10% 0% 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Proportion of Taxpayers (by AGI) Federal Taxes 2004 Perfect Equity 188 Who Pays Wage Taxes? 100% 90% Proportion of Tax Revenues 80% 70% 60% 50% 40% 30% 20% 10% 0% 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Proportion of Taxpayers (by AGI) Federal Taxes 2004 Perfect Equity Social Security Taxes Medicare Taxes 189 Who Pays Wage and Capital Gains Taxes? 100% Proportion of Tax Revenues 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Proportion of Taxpayers (by AGI) Perfect Equity Federal Income Taxes Medicare Taxes Capital Gains Taxes Social Security Taxes 190 What is the Expected Return on Social Security Taxes? Age 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 Wage Prob(Alive) SS Tax $57,000 100.0% $7,068 $59,679 99.9% $7,400 $62,484 99.7% $7,748 $65,421 99.6% $8,112 $68,495 99.4% $8,493 $71,715 99.3% $8,893 $75,085 99.2% $9,311 $78,614 99.0% $9,748 $82,309 98.8% $10,206 $86,178 98.7% $10,686 $90,228 98.5% $11,188 $94,469 98.3% $11,714 $98,909 98.1% $12,265 $103,558 97.9% $12,841 $108,425 97.7% $13,445 $113,521 97.4% $14,077 $118,856 97.2% $14,738 $124,442 97.0% $15,431 $130,291 96.7% $16,156 $136,415 96.4% $16,915 $142,826 96.2% $17,710 $149,539 95.9% $18,543 $156,568 95.6% $19,414 $163,926 95.3% $20,327 $171,631 94.9% $21,282 $179,697 94.6% $22,282 $188,143 94.2% $23,330 $196,986 93.8% $24,426 $206,244 93.4% $25,574 $215,938 92.9% $26,776 $226,087 92.4% $28,035 $236,713 91.9% $29,352 $247,838 91.3% $30,732 $259,487 90.6% $32,176 $271,683 89.9% $33,689 SS Benefit Expected SS Tax/Benefit ($7,068) ($7,390) ($7,727) ($8,079) ($8,447) ($8,831) ($9,233) ($9,652) ($10,089) ($10,544) ($11,019) ($11,514) ($12,030) ($12,569) ($13,130) ($13,715) ($14,325) ($14,961) ($15,623) ($16,313) ($17,031) ($17,778) ($18,555) ($19,363) ($20,203) ($21,075) ($21,979) ($22,915) ($23,882) ($24,881) ($25,909) ($26,967) ($28,052) ($29,164) ($30,301) Age 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 Wage $284,452 $297,821 $311,819 $326,474 $341,818 $357,884 $374,704 $392,316 $410,754 $430,060 $450,273 $471,435 Prob(Alive) 89.2% 88.4% 87.5% 86.5% 85.5% 84.4% 83.2% 82.0% 80.7% 79.3% 77.8% 76.3% 74.7% 73.1% 71.5% 69.8% 68.1% 66.3% 64.5% 62.7% 60.9% 59.2% 57.4% 55.6% 53.9% 49.9% 44.2% 37.3% 29.9% 22.7% 18.2% 13.6% 9.1% 4.5% 2.0% SS Tax $35,272 $36,930 $38,666 $40,483 $42,385 $44,378 $46,463 $48,647 $50,934 $53,327 $55,834 $58,458 SS Benefit $119,580 $125,200 $131,085 $137,246 $143,696 $150,450 $157,521 $164,925 $172,676 $180,792 $189,289 $198,186 $207,500 $217,253 $227,464 $238,154 $249,348 $261,067 $273,337 $286,184 $299,635 $313,718 $328,462 Expected SS Tax/Benefit ($31,460) ($32,638) ($33,831) ($35,033) ($36,243) ($37,456) ($38,669) ($39,878) ($41,079) ($42,268) ($43,444) ($44,604) $89,375 $91,563 $93,702 $95,786 $97,809 $99,767 $101,652 $103,459 $105,224 $106,943 $108,613 $110,231 $111,794 $108,500 $100,568 $88,828 $74,582 $59,366 $49,725 $39,046 $27,254 $14,268 $6,569 Assumptions: Age 21 income is average for Economics majors. Wages grow by inflation (3.5%) plus average growth in real wages for college graduates (1.2%). Burden is based on both halves of SS tax. Benefit at retirement is estimated by SSA and is assumed to grow by 4.7% annually. Mortality figures are for white males. 191 What is the Expected Return on Social Security Taxes? $120,000 Internal rate of return = 2.2% $100,000 $80,000 SS benefits average $82,000 annually for 23 years. $60,000 $40,000 $20,000 $0 21 24 27 30 33 36 39 42 45 48 51 54 57 60 63 66 69 72 75 78 81 84 87 90 ($20,000) ($40,000) ($60,000) 192 What is the Return on Social Security Taxes? $2,500,000 $2,000,000 $1,500,000 Investing both halves of the SS taxes at 12% expected return yields $18.5 million at retirement. This sum can generate a stream of $2.4 million annual payments for the following 23 years. $1,000,000 $500,000 $0 21 24 27 30 33 36 39 42 45 48 51 54 57 60 63 66 69 72 75 78 81 84 87 90 ($500,000) 193 Government Intervention Modeling Government Interventions Shocks are modeled according to which group, consumers or producers, are impacted first by the shock. For example, an increase in income impacts consumers first and producers second (through the change in consumer behavior). A single government intervention that impacts consumers and producers simultaneously is not modeled as a shock at all, but as the presence of a “third party” to the market. For example, a price ceiling impacts both consumers and producers at the same time as producers are not allowed to ask prices above the ceiling and consumers are not allowed to offer prices above the ceiling. However, technical regulations impact producers first because the regulations apply to the production process. Interventions modeled as shocks: Technical regulations Interventions not modeled as shocks: Price controls, quotas, taxes 194 Price Controls Market for Labor Government imposed price floor $ Workers supply labor S Free market equilibrium wage rate D Employers demand labor Q Labor employed with price floor Labor employed in free market equilibrium 195 Price Controls Market for Labor $ Workers supply labor S Unemployment is not “people out of work.” It is “people who want work being out of work.” Prior to the minimum wage, there was no unemployment (everyone who wanted a job at the prevailing wage had one). The minimum wage causes unemployment by simultaneously enticing more people to offer their labor and fewer firms to desire labor. D Qd Qs Employers demand labor Q Unemployment = surplus of labor 196 Price Controls Money to pay for increased wages comes from one (or more) of three sources: • Unemployed workers whose former earnings are now used to pay higher wages to those who are still employed Workers who add less value per hour than the minimum wage are laid off. The workers who are retained are those who would have (via competition among employers) ended up earning above minimum wage anyway. Either the work they performed is eliminated (e.g. full-service gas stations, fast food drink dispensers), or they are replaced by machines (e.g. telephone operators, toll collectors, elevator operators), or the work load is placed on remaining higher productive employees (e.g. formerly hourly jobs becoming “salaried”). • Consumers who now pay higher prices for the employers’ products Higher prices for products that utilize minimum wage workers cause consumers to buy less, further reducing employment for these workers. • Investors who now earn less return on firm’s stocks and bonds Lower rate of return causes investors to invest in other firms, reducing the number of startups that employ low-skilled workers. 197 Price Controls From which of these three sources, money required to pay the increased wage comes depends on elasticities: • The more price-elastic (i.e. the more of a luxury) are low-skilled workers, the more of the increased wage will come from layoffs. • The more price-inelastic (i.e. the more of a necessity) is a product, the more of the increased wage will come from consumers paying higher prices for the firm’s product. • The more interest-rate-inelastic (i.e. the less risky) are a firm’s stocks and bonds, the more of the increased wage will come from investors receiving less return on their investments in the firm. 198 Price Controls Market for Apartments in NYC $ S Price ceiling on rent causes more people to want to rent than there are apartments available. This results in a chronic housing shortage. The lowered rental price also reduces incentive for investors to build more housing units. D Qs Qd Q Housing shortage 199 Minimum Wage Prices Ration Goods All things are scarce. Scarce resources will be rationed. The question is, by what mechanism? Who will be excluded? Cap on interest rates? Rationed by risk. Higher risk borrowers excluded. Cap on tuition? Rationed by talent. Less talented students excluded. Minimum wage? Rationed by skill. Less skilled workers excluded. Minimum Wage Minimum Wage When we force an employer to pay a worker more than the job is worth, the job disappears. 40 years ago: 30 years ago: 10 years ago: Last year: Telephone operators Gas station attendants Fast food servers Pizza deliverers What happens to workers whose jobs are eliminated? Those whose labor is worth more than minimum wage? Those whose labor is worth less than minimum wage? College Education (1984-2004) 4.0% 3.5% y = 0.003x + 0.02 R2 = 0.0002 p = 0.95 Unemployment Rate 3.0% 2.5% 2.0% 1.5% 1.0% 0.5% 0.0% 0.3 0.32 0.34 0.36 0.38 0.4 Min Wage as Fraction of Avg Hourly Wage Source: Statistical Abstract of the United States, and Bureau of Labor Statistics 0.42 0.44 HS Education (1984-2004) 9.0% 8.0% y = 0.23x - 0.03 R2 = 0.18 p = 0.05 Unemployment Rate 7.0% 6.0% 5.0% 4.0% 3.0% 2.0% 1.0% 0.0% 0.3 0.32 0.34 0.36 0.38 0.4 Min Wage as Fraction of Avg Hourly Wage Source: Statistical Abstract of the United States, and Bureau of Labor Statistics 0.42 0.44 Less than HS Education (1984-2004) 16.0% 14.0% y = 0.46x - 0.07 R2 = 0.26 p = 0.02 Unemployment Rate 12.0% 10.0% 8.0% 6.0% 4.0% 2.0% 0.0% 0.3 0.32 0.34 0.36 0.38 0.4 Min Wage as Fraction of Avg Hourly Wage Source: Statistical Abstract of the United States, and Bureau of Labor Statistics 0.42 0.44 Minimum Wage What percentage of workers earn minimum wage? % of Hourly Workers Earning Minimum Wage or Less 8% 7% 6% 5% 4% 3% 2% 1% 0% 16 - 19 20 - 24 Worker Age Source: Bureau of Labor Statistics, 2008 25 + % of Hourly Workers Earning Minimum Wage or Less 8% 7% 6% 5% 4% 3% 2% 1% 0% Part time Full time Worker Status Source: Bureau of Labor Statistics, 2008 % of Hourly Workers Earning Minimum Wage or Less 10% 9% 8% 7% 6% 5% 4% 3% 2% 1% 0% Service Occupations Sales and Office Occupations Production, Transportation Industry Source: Bureau of Labor Statistics, 2008 Management, Professional Occupations Construction, Maintenance, Natural Resources Occupations Unemployment for Teenagers Relative to Adults (1964-2004) Unemployment Population Ratio for 16-19 Year Olds as Percentage of 20-64 Year Olds Unemployment Population Ratio for 16-19 Year Olds as a Percentage of Ratio for 20-64 Year Olds 3.3 3.1 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 0.3 0.32 0.34 0.36 0.38 0.4 0.42 0.44 Minim umas Wage as Percentage ofof Average Hourly Earnings Minimum Wage Percentage Average Hourly Wage Source: Bureau of Labor Statistics 0.46 0.48 Minority vs. Non-Minority Household Income (1970-2001) Ratio of Median Household Incomes (Black/White) 69% 67% 65% 63% y = -0.33x + 0.73 R2 = 0.15 61% 59% 57% 55% 32% 34% 36% 38% 40% 42% 44% 46% Minimum Wage as Fraction of Average Hourly Earnings Source: Bureau of Labor Statistics 48% Minimum Wage How to Pay for a Minimum Wage There are three ways in which a firm can find additional money to pay workers. 1. Layoff some workers and shift their wages to the remaining workers. 2. Keep all the workers and pay for the additional wages out of profits. 3. Keep all the workers and pay for the additional wages by raising prices. Comparison of Minimum Wage to CA Inflation (1970-2004) 16% 14% y = 0.44x - 0.14 R2 = 0.28 p = 0.001 CA Inflation 12% 10% 8% 6% 4% 2% 0% 35% 37% 39% 41% 43% 45% 47% 49% Real CA Min Wage as % of Real US Avg Hourly Wage Source: Bureau of Labor Statistics, California Department of Finance 51% 53% Minimum Wage But, we have to do something about the distribution of income. The rich are getting richer while the poor get poorer! % of Households in Each Income Bracket (2006$) Source: Statistical Abstract of the United States, U.S. Bureau of the Census, 2009, Table 668. % of Households in Each Income Bracket (2006$) From 1980 to 1990, the number of households with purchasing power of at least $75,000 grew while the number with purchasing power less than $75,000 declined. Source: Statistical Abstract of the United States, U.S. Bureau of the Census, 2009, Table 668. % of Households in Each Income Bracket (2006$) From 1990 to 2006, the number of households with purchasing power of at least $75,000 grew while the number with purchasing power less than $75,000 declined. Source: Statistical Abstract of the United States, U.S. Bureau of the Census, 2009, Table 668. Minimum Wage 1980 The top 20% of households earned 44% of all income. 2003 The top 20% of households earned 50% of all income. Source: Statistical Abstract of the United States, U.S. Bureau of the Census, 2008, Table 675. Minimum Wage In which world would each person rather live? Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Person 9 Person 10 Household Income in World #1 $32,000 $33,500 $35,000 $36,500 $38,000 $39,500 $41,000 $42,500 $44,000 $45,500 Household Income in World #2 $40,000 $41,875 $43,750 $45,625 $47,500 $49,375 $51,250 $53,125 $77,000 $79,625 In world #1, Person 10 earns 10% of all income. In world #2, Person 10 earns 15% of all income. (prices are the same in the two worlds) Quotas At the quota limit, consumers are willing to pay this price for foreign cars. U.S. Market for Foreign Cars $ Foreign car supply (from foreign producers) S Free market equilibrium price D Foreign car demand (by American consumers) Q Government imposed quota on unit sales Free market equilibrium quantity At the price consumers are willing to pay, foreign producers want to offer this many cars, but can’t because of the quota. 219 Technical Regulations The federal government requires all gasoline sold in major urban areas to contain a certain quantity of ethanol. Market for Gasoline $ S’ S This regulation increases the cost of production for gasoline, shifting supply to the left. Free market equilibrium price The market price of gasoline rises and the quantity sold falls. Ethanol is more expensive to produce than gasoline (ironically, the production of 1 gallon of ethanol requires the burning of 1.2 gallons of gasoline). D Q Free market equilibrium quantity 220 Taxes All taxes can be treated as sales taxes A wage tax is a tax on the sales of labor. A property tax is a tax that is paid every year on the past sale of a physical asset. Interest and dividend taxes are property taxes on financial assets. A capital gains tax is a sales tax on a re-sold asset. The one from whom a tax is collected is not the same as the one who pays the tax While the law states from whom a tax is collected, the government is powerless to determine who pays the tax. Who pays the tax is determined by market forces and is found by comparing the price of the taxed item before and after imposition of the tax. The split in the tax between the consumer and producer is called the tax burden. 221 Taxes When the government imposes a tax, two prices result: 1. The price the consumer pays (the price of the product plus the tax) 2. The price the producer receives (the price the consumer pays less the tax) For an excise tax, the relationship between the two prices is: Pc = Pp + Tax per unit For a sales tax, the relationship between the two prices is: Pc = Pp (1 + Tax Rate) 222 Taxes 2. The government imposes a $0.50 per gallon tax. 3. The resulting consumer price is $1.90 and the resulting producer price is $1.40 Market for Gasoline $ 1. Prior to the tax, the equilibrium price is $1.50 per gallon, and the equilibrium S quantity is 380 million gallons per day. The steep demand curve reflects the fact that consumers regard gasoline as a necessity. $1.90 $1.50 $1.40 $0.50 separation between Pc and Pp This distance is $1.50 D 370 m. 380 m. Gallons/day This distance is $0.50 4. The market is in equilibrium because both Qs and Qd are 370 m. 223 Taxes Market for Gasoline Consumers pay $0.40 of the $0.50 tax, for a total tax payment of ($0.40)(370 m.) = $148 million per day $ S $1.90 $1.50 $1.40 Producers pay $0.10 of the $0.50 tax, for a total tax payment of ($0.10)(370 m.) = $37 million per day D 370 m. Gallons/day 224 Taxes 2. The government imposes a $5,000 per car tax. Market for Luxury Cars 3. The resulting $ consumer price is $40,500 and the resulting producer price is $35,500 $40,500 $40,000 1. Prior to the tax, the equilibrium price is $40,000 per car, and the equilibrium S quantity is 100,000 cars per year. D The flat demand curve reflects the fact that consumers regard these cars as luxuries $35,500 $5,000 separation between Pc and Pp This distance is $40,000 70,000 100,000 Cars/year This distance is $5,000 4. The market is in equilibrium because both Qs and Qd are 70,000. 225 Taxes Market for Luxury Cars Consumers pay $500 of the $5,000 tax, for a total tax payment of ($500)(70,000) = $35 million per year $ S $40,500 $40,000 D $35,500 Producers pay $4,500 of the $5,000 tax, for a total tax payment of ($4,500)(70,000) = $315 million per year 70,000 Cars/year 226 Taxes Conclusion: From whom the tax is collected is irrelevant. What is important is who pays the tax. The law can only specify from whom the tax is collected. Market forces determine who pays the tax. Example: Social Security wage tax. The law specifies that the employer “pays” half of the tax (7.5%) and that the worker “pays” the other half (7.5%). In fact, the law is stating from whom the tax is collected. Who really bears the burden of the tax depends on the elasticities of labor demand and labor supply. Data indicate that the supply of labor tends to be inelastic (i.e. as wages fall a given percentage, a proportionally smaller percentage of people drop out of the workforce), and that the demand for labor tends to be more elastic the less skilled is the labor (i.e. the less skilled the labor is, the more the firm regards the labor as a luxury). 227 Taxes Market for Higher Skilled Labor Market for Lower Skilled Labor $ $ S S D D Worker-hours/year Worker-hours/year Portion of Social Security wage tax paid by the employer Portion of Social Security wage tax paid by the employee 228 Quantitative Analysis of a Price Control You have analyzed industry data for the market for gasoline and estimated the following demand and supply functions (where Q is millions of gallons per day). Demand: Pˆ 1187.08 3.12 Qˆd Supply: Pˆ 302.52 0.80 Qˆs 1. Find the estimated free market price and equilibrium quantity of gasoline. P = $1.48 per gallon, Q = 380 million gallons 2. The government is debating imposing a $1.25 per gallon price ceiling on gasoline. Estimate the impact of the price ceiling on the market. 1187.08 1.25 1.25 1187.08 3.12 Qˆd Qˆd 380.07 3.12 302.52 1.25 1.25 302.52 0.80 Qˆs Qˆs 379.71 0.80 Shortage of 360,000 gallons per day. 229 Quantitative Analysis of a Tax 3. An alternate proposal calls for the imposition of a $0.40 per gallon tax on gasoline. Estimate the impact of the tax on the market and also estimate the burden of the tax on consumers and on producers. Two conditions for equilibrium Qd Q s Pc Pp Tax per gallon 1187.08 Pc Pc 1187.08 3.12 Qˆd Qˆd Pp 302.52 0.80 Qˆs Qˆs 3.12 302.52 Pp 0.80 1187.08 Pc 302.52 Pp Pc 7.25 3.9Pp 3.12 0.80 Pc Pp Tax per gallon 7.25 3.9Pp Pp 0.40 Qˆd Qˆs Pp $1.40, Pc $1.80, Q 379.90 Consumers pay $1.80 – $1.48 = $0.32 of the tax. Producers pay $1.48 – $1.40 = $0.08 of the tax. 230 Quantitative Analysis of a Subsidy You have analyzed industry data for the market for higher education and estimated the following demand and supply functions (where Q is full-time equivalent students per semester in millions, and P is tuition, fees, room and board). Demand: Pˆ 32796.8 1781 Qˆd Supply: Pˆ 2595.2 984 Qˆs 1. Find the estimated free market price and equilibrium quantity. P = $10,000 per semester, Q = 12.8 million FTE students 2. To ease the burden of tuition, the government is debating providing grants to all full-time students equal to 10% of their semester tuition. State the two conditions required for equilibrium. Two conditions for equilibrium Qd Q s Pc Pp 1 Tax Rate Pc 0.9Pp 231 Quantitative Analysis of a Subsidy 3. Estimate the impact of the subsidy on the market and also estimate the share of the subsidy for consumers and for producers. Two conditions for equilibrium Qd Q s Pc 1 Tax Rate Pp 0.9 Pc Pp 32796.8 Pc Pc 32796.8 1781 Qˆd Qˆd Pp 2595.2 984 Qˆs Qˆs 1781 2595.2 Pp 984 32796.8 Pc 2595.2 Pp Pp 15525 0.55Pc 1781 984 Pc 0.9 15525 0.55Pc Qˆd Qˆs Pc 0.9Pp Pc $9,332, Pp $10,369, Q 13.175 Students receive $10,000 – $9,332 = $668 of the subsidy. Colleges absorb $10,369 – $10,000 = $369 of the subsidy. 232 Macroeconomics Macroeconomic analysis looks at economic phenomena that impact broad sectors of the economy. Microeconomics focuses on individual firms, consumers, and industries, and analyzes the markets for particular products. Macroeconomics treats all consumers as a single group, all producers as a single group, and analyzes production in general. 233 In the following slides, you will be asked a series of questions. Answer honestly – only your opinion matters. You will not be asked to share your results. Answer by writing the number corresponding to your answer. Military service should be voluntary – no draft. =1 Yes = 2 Maybe No = 0 Government should not control radio, TV, the press, or the Internet. 0 Yes = 2Maybe = 1 No = Repeal regulations on sex by consenting adults. 0 Yes = 2Maybe = 1 No = Drug laws do more harm than good. Repeal them. 0 Yes = 2Maybe = 1 No = Let peaceful people cross borders freely. 0 Yes = 2Maybe = 1 No = Businesses and farms should operate without government subsidies. 0 Yes = 2Maybe = 1 No = People are better off with free trade than with tariffs. 0 Yes = 2Maybe = 1 No = Minimum wage laws cause unemployment. Repeal them. 0 Yes = 2Maybe = 1 No = End taxes. Pay for services with user fees. 0 Yes = 2Maybe = 1 No = All foreign aid should be privately funded. 0 Yes = 2Maybe = 1 No = What are “Liberalism” and “Conservatism”? Team up with the person next to you. Between the two of you, come up with a definition for “liberalism” and a definition for “conservatism.” Each definition should be no more than one or two sentences. Formal Definitions: “Liberalism” and “Conservatism” Webster’s Collegiate Dictionary Liberalism is “a political philosophy based on belief in…the essential goodness of the human race, and on the autonomy of the individual, and (stands) for the protection of political and civil liberties.” Conservatism is “a political philosophy based on tradition and social stability, stressing established institutions, and preferring gradual development to abrupt change.” Contradictions Webster’s Collegiate Dictionary Liberalism is “a political philosophy based on belief in…the essential goodness of the human race, and on the autonomy of the individual, and (stands) for the protection of political and civil liberties.” Representative Ted Weiss (D, NY) “Liberals believe (that) government has an obligation to provide equal educational and job opportunities for all. To those whose survival requires economic assistance, government should extend a helping hand. Individual liberties and human rights must be safeguarded from and by government.” Contradictions Webster’s Collegiate Dictionary Conservatism is “a political philosophy based tradition and social stability, stressing established institutions, and preferring gradual development to abrupt change.” Senator John Tower (R, TX) “Conservatives have more faith in people than in government institutions, and would keep government out of issues that can be handled in the private sector.” What Issues are “Liberal” versus “Conservative”? Mandatory Prohibit Universal Minimum Reduced Prayer Gay Prayer Free Drug Marriage Health Trade inWar in Taxes Wage Public Public Care School School “Conservative” “Liberal” What Issues are “Liberal” versus “Conservative”? Free Trade Prohibit Prayer in Public School Drug War Gay Marriage Mandatory Prayer in Public School Minimum Wage Reduced Taxes “Conservative” Universal Health Care “Liberal” Rather than thinking in terms of “liberal” and “conservative”, think in terms of “more individual freedom” vs. “less individual freedom”. Less Individual Freedom vs. More Individual Freedom Two spheres which ahumans Choice to inmarry goat =exercise socialfreedoms: choice Social sphere where goods they choose how to Prayer behave Prohibit in Public School Free Tradeto Choice buy foreign = economic choice Economic sphere where they enter into contracts with others Drug WarChoice to do drugs = social choice Gay Marriage Choice to buyare drugs = economic choice The two spheres not necessarily independent. Mandatory Prayer in Public School Reduced Taxes Less Freedom Minimum Wage Universal Health Care More Freedom The terms “liberal” and “conservative” are ambiguous. Better terms are: Making Control vs. Freedom Centralized Decision Making Power from Above vs. Slavery vs. Liberty vs. Decentralized Decision Power from Below Less Individual Freedom vs. More Individual Freedom More Economic Freedom Less Social Freedom More Social Freedom Drug War Free Trade Minimum Wage Gay Marriage Universal Health Care Reduced Taxes Prohibit Prayer in Public School Mandatory Prayer in Public School Less Economic Freedom Who is “Liberal” and Who is “Conservative”? “Conservative” “Liberal” Who is “Liberal” and Who is “Conservative”? Economically “Conservative” Socially “Liberal” Socially “Conservative” Economically “Liberal” Economic“Conservative” Freedom Economically Personal Socially Freedom “Liberal” Socially “Conservative” Economically “Liberal” Economic Freedom 10 Classical Liberal “Republican” Centrist 5 Authoritarian 0 0 “Democrat” 5 10 Personal Freedom What kind of society do we want to live in? Take a few minutes to list what you want from a well-functioning social order. Keep the list abstract. “Prosperity” not “adequate per-capita income” What is more important? Copy the list and identify the four items of highest priority (in your opinion). Write a #1 next to the highest priority item, #2 next to the second highest priority item, etc. Does the importance change? You have identified the four most important goals/features of a society. Will these goals/features always be the most important? Consider: Crime vs. Car Pollution Indicate the four most important goals/features of a society when considering each of these two problems. Indicate the four least important goals/features of a society when considering each of these two problems. Consensus Divide into groups. Discuss your rankings and come to a consensus. Note main areas of agreement and disagreement. Market Systems Market systems are categorized according to the degree of separation between the ones who make decisions and the ones who must endure the consequences of the decisions. Capitalism Market socialism Planned socialism Free markets Command markets Less separation between decisions and consequences Greater separation between decisions and consequences Communism 262 Market Systems Capitalism No government intervention. No transactions are illegal. Not anarchy – government is necessary to protect property rights. Individuals are motivated to maximize profit. Called “capitalism” because individuals, not government, own the means of production (i.e. capital – buildings, land, machinery). Market Socialism Significant government intervention. Some transactions are illegal. Output levels and prices are determined by market forces of demand and supply. Individuals are motivated to maximize profit. Government owns means of production, but people own all other property. Government seizes profits for use for “good of society.” Planned Socialism Significant government intervention. Many transactions are illegal. Output levels and prices are set by the government. Individuals are motivated to hit production targets. Government owns means of production and virtually all other property. Government directs production and spending for “good of society.” 263 Market Systems Communism Total government intervention. Transactions do not exist. Money does not exist. Government owns everything. No personal property. People work for “free” and receive what they need for “free” from the government. What we call “communism” in the common usage of the word is really economic planned socialism mixed with political totalitarianism. Communism in the economic sense is more akin to the common usage of the word “commune.” 264 Political Systems Political systems can also be categorized according to the degree of separation between the ones who make decisions and the ones who must endure the consequences of the decisions. Anarchy Democracy Republic Political Freedom Political Oppression Less separation between decisions and consequences Greater separation between decisions and consequences Dictatorship 265 Political Systems The choice of political system hinges on whether one believes that 1. Government derives its power from the people, or 2. People are granted power by the government. For example, one can argue tax policy from one of two starting points. Either: 1. Income belongs to the people and the government confiscates part of that income (in the form of taxes) to be used for the public good, or 2. Income belongs to the government and the government allows people to keep part of that income (in the form of tax relief) to be used for their own purposes. For example, one can argue patents from one of two starting points. Either: 1. Intellectual property belongs to the inventor and the government protects the inventor’s IP through the use of patents, or 2. Intellectual property belongs to the government and the government allows the inventor to earn a profit off of the IP through the use of patents. 266 Political Systems Political Classifications According to the Origin and Application of the Power of Decision Making When making social decisions, power derives from… When making economic decisions, power derives from… the Individual the Government the Individual Libertarianism (“Classical Liberalism”) “Conservatism” the Government “Liberalism” Populism 267 Political Systems A vote in the political arena is the equivalent of a purchase in the economic arena. Political vote 1 person = 1 vote Vote does not reflect the intensity of the voter’s desire There is no opportunity cost to the vote vote is not a “real” measure There is one winner up to 50% of the voters are left with a decision they did not want Economic vote 1 person = multiple votes (depending on person’s abilities) Vote reflects the intensity of the voter’s desire There is an opportunity cost to the vote vote is a “real” measure There are multiple winners potentially every voter is left with a decision he wants 268 Market Systems Index of Economic Freedom (2005 Scores) Free market system Command market system 1.0 5.0 Hong Kong (1.4) Singapore (1.6) Italy (2.3) Spain (2.3) United Kingdom (1.8) United States (1.9) Canada (1.9) Sweden (1.9) China (3.5) India (3.5) Russia (3.6) Poland (2.5) Japan (2.5) France (2.6) Germany (2.0) Iran (4.2) North Korea (5.0) Saudi Arabia (3.0) Mexico (2.9) 269 Market Systems 270 Market Systems $45,000 Per-Capita Income (US$, PPP Equivalent) Luxembourg $40,000 $35,000 U.S. $30,000 $25,000 $20,000 $15,000 $10,000 $5,000 $0 1 2 3 4 5 Index of Economic Freedom (1=Free, 5=Repressed) 271 Market Systems Income vs. Equity Historically, individuals have tended to “rate” economic systems according to their subjective assessments of both income and equity. Formally, income is measured as “income per capita,” or “GDP per capita,” and equity is measured via the Gini coefficient. Gini coefficient Scale is 0 to 100. 0 indicates perfect equality All people earn same income. 100 indicates perfect inequality One person earns all the income, everyone else earns nothing. Gini coefficient ignores income level and looks only at income distribution. 272 Market Systems $45,000 Per-Capita Income (US$, PPP Equivalent) Luxembourg $40,000 $35,000 U.S. $30,000 $25,000 Finland $20,000 $15,000 South Africa Cyprus $10,000 Brazil $5,000 $0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 Gini Coefficient (0=Equitable, 1=Inequitable) 273 Production Possibilities Frontier Because an economy has limited resources (land, energy, labor, technology, raw materials), the amount of output the economy can produce is limited. Further, because of economies and diseconomies of scale, the tradeoffs between production of different types of products is limited. We represent these limits on production by the production possibilities frontier. The PPF shows all combinations of products an economy is capable of producing. The PPF does not represent desires only possibilities. 274 Production Possibilities Frontier Non-durables Consider an economy that produces two types of goods: durables and non-durables Economy has enough resources to produce any combination of products along the PPF line. Combinations of products outside the PPF are unattainable. Combinations of products within the PPF represent unemployment. Durables 275 Production Possibilities Frontier Non-durables PPF is non-linear due to specialization and congestion. 4. The economy was producing so few non-durables that there were many opportunities for specialization in the non-durables industry moving resources into non-durables production caused a relatively large increase in non-durables output. 3. The economy was producing so many durables that there was a lot of congestion in the durables industry moving resources out of durables production caused a relatively small decline in durables output. 2. If the economy reduces production of durables, the freed-up resources can be employed in the production of nondurables. Durables 1. Suppose the economy is producing this combination of durables and non-durables. 276 Production Possibilities Frontier Non-durables Technological and resource changes move the PPF. Over time, improvements in technology and the discovery/creation of new resources causes the PPF to shift out. The economy can now produce combinations of products that were previously unattainable. Levels of productivity that used to represent full employment now represent unemployment. Durables 277 Measures of Productivity: GDP and GNP The two major measures of productivity are GDP and GNP. Gross Domestic Product (GDP) The value of all final goods and services produced by firms within a country in a given year. Gross National Product (GNP) The value of all final goods and services produced by a country’s firms in a given year. Residence of Firm Nationality of Firm Domestic Foreign Domestic Domestic GDP Domestic GDP Foreign GNP Foreign Domestic GNP Foreign GDP Foreign GDP 278 Measures of Productivity: GDP and GNP 279 Measures of Productivity: GDP and GNP 280 Measures of Productivity: GDP and GNP 281 Measures of Productivity: GDP and GNP 282 Luxembourg Connecticut Wyoming New York Alaska Minnesota Illinois Rhode Island Hawaii North Dakota Texas Nebraska Wisconsin Iowa Louisiana Australia United Kingdom Missouri Tennessee Belgium France Idaho South Carolina West Virginia Mississippi South Korea New Zealand Saudi Arabia Seychelles Hungary Poland Russia Mexico Malaysia Turkey Uruguay Belarus Lebanon Costa Rica South Africa Saint Vincent and the Grenadines Dominica Bosnia and Herzegovina Ecuador Jamaica Ukraine Turkmenistan China Egypt Georgia Paraguay Syria Bolivia Honduras Mongolia India Vietnam Pakistan Kiribati Papua New Guinea Djibouti Tajikistan São Tomé and Príncipe Lesotho Ghana Bangladesh Haiti Burkina Faso Madagascar Mozambique Timor-Leste Niger Liberia Measures of Productivity: GDP and GNP $80,000 $70,000 $60,000 $50,000 $40,000 $30,000 $20,000 $10,000 $0 283 Dominican Republic Congo Chad Venezuela Mozambique Turkey Iran Uzbekistan Zambia Tajikistan Equatorial Guinea Malawi Turkmenistan Ghana Afghanistan 400% Belarus Haiti Burma Angola Zimbabwe Measures of Productivity: GDP and GNP GDP Growth Rate (2003 to 2004) 350% 300% 250% 200% 150% 100% 50% 0% 284 Russia San Marino India Botswana Bhutan Argentina Ukraine Qatar Kazakhstan China Tajikistan Azerbaijan Armenia Faroe Islands Liechtenstein Man, Isle of Chad Equatorial Guinea Turkmenistan Afghanistan Measures of Productivity: GDP and GNP 30% RGDP Growth Rate (2003 to 2004) 25% 20% 15% 10% 5% 0% 285 Measures of Productivity: GDP and GNP 2008 Figures GDP (trillions, US$, PPP) Per-Capita GDP Growth RGDP Inflation Public Debt Share Unemployment of GDP World $69.60 $10,400 3.1% 1% to 20% 30.0% United States $14.26 $46,900 1.1% 3.8% 61% 7.2% China $7.97 $6,000 9.0% 5.9% 16% 4.0% Japan $4.33 $34,000 -0.7% 1.4% 173% 4.0% Germany $3.67 $35,400 1.0% 2.7% 64% 7.8% United Kingdom $2.26 $36,500 0.7% 3.6% 52% 5.6% France $2.13 $33,200 0.3% 2.8% 68% 7.4% Canada $1.30 $39,100 0.4% 2.4% 64% 6.2% Mexico $1.56 $14,200 1.3% 5.1% 19% 4.0% 286 Measures of Productivity: GDP and GNP Final Goods and Services By measuring the value of final goods and services, we automatically include the values of the intermediate goods and services. Economic Costs of Processes Extract Iron Ore Smelt Steel Stamp Parts Assemble Refrigerator $175 $225 $125 $200 Sale Prices Iron Ore Smelted Steel $175 $175 + $225 Stamped parts $175 + $225 + $125 Refrigerator $175 + $225 + $125 + $200 The price of the refrigerator includes the values of all the intermediate goods that went into the production of the refrigerator. 287 Circular Flow of Income and Spending Labor market Wages and Salaries Labor Savings Households Financial markets Financial Institutions Safe return Lending Risky return Financial intermediation Firms Financial disintermediation Savings Risky return Products Payments for Products Goods market Foreign Markets 288 Circular Flow of Income and Spending The circular flow model implies that there are two methods for accounting for all economic activity within a country. 1. Add up all the spending on final goods and services (the expenditures approach). 2. Add up all the income earned (the income approach). 289 Expenditure Approach to GDP GDP = C + I + G + X – M C = Personal Consumption Expenditures = Consumption of Durable Goods + Consumption of Non-durable Goods + Consumption of Services I = Gross Private Domestic Investment = Non-Residential Fixed Investment + Residential Fixed Investment + Changes in Private Inventories 290 Expenditure Approach to GDP GDP = C + I + G + X – M G = Government Consumption and Investment = Federal Government Spending on Defense + Federal Government Spending on Non-defense + State and Local Government Spending X = Exports = Exports of Goods + Exports of Services M = Imports = Imports of Goods + Imports of Services 291 Expenditure Approach to GDP Trillions Expenditures Components of GDP (2004) $10.0 $8.0 $6.0 $4.0 $2.0 $0.0 C I G X M -$2.0 -$4.0 292 $0.0 M (services) M (goods) X (services) X (goods) G (state & local) G (non-defense) G (defense) I (Δ inventories) I (residential) I (non-residential) C (services) C (non-durables) C (durables) Trillions Expenditure Approach to GDP Expenditures Components of GDP (2004) $6.0 $5.0 $4.0 $3.0 $2.0 $1.0 293 Expenditure Approach to GDP Expenditure Components of GDP (2004) NX (services) NX (goods) (negative) C (durables) G (state & local) G (non-defense) C (non-durables) G (defense) I (Δ inventories) I (residential) I (non-residential) C (services) 294 Economic Activity vs. Transactional Activity The intent of GDP is to measure economic activity. Economic activity is not the same as transactional activity. Transactional activity includes all activity in which dollars change hands. Economic activity includes only those activities in which production takes place. Economists are concerned with economic activity because it is the production of new goods and services, not the transfer of existing goods and services that benefits people. Note: You might argue that “moving a car from a seller’s home in Maine to the buyer’s home in Florida” represents economic value. It is the physical moving that has value, not the transfer of ownership. 295 Transactions Excluded from GDP With the intent of measuring production, not transactions, certain transactions are excluded from GDP calculations. Things not included in GDP 1. Spending in the current year on products produced in prior years. Example: Buy a new book on Amazon that was printed this year. This transaction counts as GDP (Consumption) because the book was produced in the current year. Buy a new book on Amazon that was printed last year. This transaction does not count as GDP because the book was counted last year when it was produced (as Changes in Inventory) Buy a used book on Amazon that was printed last year. This transaction does not count as GDP because the book was counted last year (as Consumption) when the original owner purchased it. 296 Transactions Excluded from GDP Things not included in GDP 2. Spending on “used” products that are re-sold. Example: Buy a new book on Amazon that was printed this year. This transaction counts as GDP (Consumption) because the book was produced in the current year. Buy a used book on Amazon that was printed this year. This transaction does not count as GDP because the book was counted earlier in the year (as Consumption) when the original owner purchased it. 297 Transactions Excluded from GDP Things not included in GDP 3. Spending on intermediate products. Example: Buy new tires from a car dealer that were produced this year. The value of the tires counts as GDP (Consumption) because the tires were produced in the current year. Car dealer buys new tires that were produced this year, puts them on a car and offers the car for sale. The value of the tires on the car does not count as GDP because the value will be counted, as part of the value of the car, when the car is sold. 298 Transactions Excluded from GDP Things not included in GDP 4. Spending on financial assets. Example: Buy a share of stock. The stock is neither a good nor a service, but a financial asset; the purchase of the stock is the transformation of a safe, liquid asset that yields no return (cash) into a risky, less liquid asset that yields an expected return (stock). 299 Transactions Excluded from GDP Things not included in GDP 5. Full value of government services. Example: Government provides interstate road system. The cost of building and maintaining the system is included in GDP, but, because drivers are not charged to use the roads, the value of the road system (which is likely more than the cost) is not included in GDP. If the road system were private and drivers paid a market-determined price to use the roads, then the full value of the roads would be included in GDP. Note: If drivers were charged to use the road system, they would have less money to spend on other things, so much of the “increase” in GDP due to proper accounting of roads would be offset due to decreased consumption of other goods and services. 300 Invisible Transactions That Should Be Included in GDP Some transactions represent economic activity and should be included in GDP but are not because the transactions are “invisible.” Things not included in GDP that should be included 1. “Under-the-table” spending on labor. Example: Hire a babysitter. This transaction should count as GDP (Consumption) because babysitting is a service. But, because the babysitter does not declare the money as income and because the parents do not claim the money as a child-care tax deduction, the government has no way of knowing the transaction occurred. 301 Invisible Transactions That Should Be Included in GDP Things not included in GDP that should be included 2. Spending on illegal goods and services. Example: Buy illegal drugs. This transaction should count as GDP (Consumption) because the drugs were produced in the current year. But, because neither the dealer nor the buyer want the government to know the transaction occurred, the transaction is not counted as part of GDP. 302 Invisible Transactions That Should Be Included in GDP Things not included in GDP that should be included 3. Home labor. Example: Mow your lawn. There is no transaction associated with this activity because you do not pay yourself to mow your lawn. However, the mowing of the lawn is the production of a service. That service should be included in GDP but isn’t because there is no transaction and hence no record of a transaction. 303 Invisible Transactions That Should Be Included in GDP Things not included in GDP that should be included 4. Barter. Example: Trade lawn mowing for babysitting. There is no transaction associated with this activity because you agree to trade services with your neighbor. However, the mowing of the lawn and the babysitting are the productions of services. Those services should be included in GDP but aren’t because there is no transaction and hence no record of a transaction. 304 Income Approach to GDP Employee compensation Corporate profits Personal Income Rental income Interest income less interest expense Proprietors income Indirect taxes (sales, excise, business property taxes) and transfers less subsidies National Income Statistical discrepancy Net National Product Depreciation (“capital consumption”) Gross National Product Income to foreigners in the US less income to Americans abroad Gross Domestic Product 305 Income Approach to GDP Income Components of GDP (2004) Net Income from Abroad Capital Consumption Statistical Discrepancy Indirect Taxes Net Interest Income Proprietors Income Employee Compensation Rental Income Corporate Profits 306 National vs. Domestic Measures Net Domestic Income at Factor Cost National Income Net National Product Gross National Product + Income to foreigners in the US – Income to Americans abroad Net Domestic Product Gross Domestic Product 307 Nominal vs. Real Measures A dollar measure is relevant only to the extent that the person reading the measure understands the implied value of the dollar. Example In 2006, one gallon of gasoline cost (on average) $2.59, while in 1967, one gallon of gasoline cost $0.26. These two figures imply that the cost of gasoline has risen 896% over 40 years. However, in 2006, per-capita disposable income (income after taxes) was $31,240, while in 1967, per-capita disposable income was $2,895. These two figures imply per-capita disposable income rose 979% over 40 years. Comparing gasoline to income, we see that the price of gasoline has risen less than per-capita income. Conclusion: Relative to our incomes, gasoline is cheaper now than it was 40 years ago. 308 Purchasing Power Stripping away what economists call, “money illusion,” we see that what ultimately matters to people is how hard they have to work to obtain goods. The following slides show the number of minutes the average American had to work to afford various goods from the 1920’s to the present. Note that there are many goods that cannot be represented because the goods did not exist in the past. For example, in 1950 it would have taken an infinite amount of time to earn enough money to buy a DVD player because DVD players did not exist. Source: Working for Sears Goods, Donald Boudreaux (cafehayek.typepad.com/hayek/2006/01/working_for_sea.html) Purchasing Power Milk (1 gallon) Minutes of Work to Afford 80 70 60 50 40 30 20 10 0 1920 - 1930 1950 1980 1997 Purchasing Power Gas (1 gallon) Minutes of Work to Afford 35 30 25 20 15 10 5 0 1920 - 1930 1950 1980 1997 Purchasing Power Electricity (1 kWh) Minutes of Work to Afford 900 800 700 600 500 400 300 200 100 0 1920 - 1930 1950 1980 1997 Purchasing Power Air Travel (100 miles) Minutes of Work to Afford 900 800 700 600 500 400 300 200 100 0 1920 - 1930 1950 1980 1997 Purchasing Power Levis Jeans (1 pair) Minutes of Work to Afford 700 600 500 400 300 200 100 0 1920 - 1930 1950 1980 1997 Purchasing Power The following slides show prices taken from the Sears catalogues for 1975 and 2006. The goods are selected so as to have the same (or very similar) qualities across the two years. Source: Working for Sears Goods, Donald Boudreaux (cafehayek.typepad.com/hayek/2006/01/working_for_sea.html) Purchasing Power Freezer Minutes of Work to Afford 5000 4500 4000 3500 3000 2500 2000 1500 1000 500 0 1975 2006 Purchasing Power Garage Door Opener Minutes of Work to Afford 1400 1200 1000 800 600 400 200 0 1975 2006 Purchasing Power Car Tire Minutes of Work to Afford 600 500 400 300 200 100 0 1975 2006 Purchasing Power Lawn Mower Minutes of Work to Afford 900 800 700 600 500 400 300 200 100 0 1975 2006 Purchasing Power Table Saw Minutes of Work to Afford 3500 3000 2500 2000 1500 1000 500 0 1975 2006 Purchasing Power Garbage Disposal Minutes of Work to Afford 1400 1200 1000 800 600 400 200 0 1975 2006 Purchasing Power Interior Latex Paint (1 gallon) Minutes of Work to Afford 160 140 120 100 80 60 40 20 0 1975 2006 Nominal vs. Real Measures A nominal dollar measure (or “current dollar measure”) is the actual dollar measure that was taken at a point in time – e.g. the average price of gas in 1967 was $0.26 per gallon in 1967 dollars. A real dollar measure (or “constant dollar measure”) is the dollar measure taken at a point in time and then adjusted for the overall rate of inflation that has occurred since that point in time – e.g. the average price of gas in 1967 was $2.80 in 2006 dollars. To compare dollar measures from two different points in time, we first must convert the dollar measures to the same base year. The conversion is achieved using price indices. 323 Price Indices Major types of price indices CPI (consumer price index) Measures prices of things consumers typically buy PPI (producer price index) Measures prices of things producers typically buy IPD (implicit price deflator) Measures prices of all things produced in the economy Some variations on the price indices CPI-U CPI for all urban consumers CPI-W CPI for urban wage earners and clerical workers C-CPI Chain weighted CPI 324 Price Indices Using Economy.com’s database, find the following consumer price indices for 1974 and 2004. CPI-U (all items) 1974: 49.32 2004: 188.89 CPI-U (energy) 1974: 38.04 2004: 151.33 CPI-U (medical care) 1974: 42.37 2004: 310.14 CPI-U (transportation) 1974: 45.76 2004: 163.06 On average, the prices of all items purchased by urban consumers in 2004 was 188.89% of the prices in the base year. On average, the prices of all items purchased by urban consumers in 1974 was 49.32% of the prices in the base year. 325 Price Indices Calculation of a (Simple) Price Index 1. Establish a representative basket of goods and services for the base year. 2. Find the average prices of the goods/services during the base year, and the average prices of the goods/services during the current year. 3. Calculate the total cost of the base-year basket using the base year’s prices and the current year’s prices. 4. The (simple) price index is the ratio of the current year’s total cost to the base year’s total cost (multiplied by 100). 326 Price Indices Example Let 2000 be the base year. In 2000, the average consumer purchased the following quantities of goods/services. Beer Car House 2000 30 units 0.1 units 0.02 units The average prices of these goods over three years were: Beer Car House 2000 $20 $28,000 $100,000 2001 $21 $30,000 $98,000 2002 $20 $31,000 $102,000 327 Price Indices Example Multiplying the quantities of goods in the basket by the prices in each year gives the cost of the base year’s basket in each year. 2000 $5,400 = (30 units)($20) + (0.1 units)($28,000) + (0.02 units)($100,000) 2001 $5,590 = (30 units)($21) + (0.1 units)($30,000) + (0.02 units)($98,000) 2002 $5,740 = (30 units)($20) + (0.1 units)($31,000) + (0.02 units)($102,000) Basket 2000 2000 $5,400 Prices 2001 $5,590 2002 $5,740 328 Price Indices Example The price index for a year is the total cost of the basket in that year divided by the total cost of the basket in the base year multiplied by 100. Basket Cost X Price Index for Year X using Year Y as the Base Year 100 Basket Cost Y Basket 2000 2000 $5,400 Prices 2001 $5,590 2002 $5,740 Basket Cost 2002 $5,740 100 $5,400 100 106.3 Basket Cost 2000 Basket Cost 2001 $5,590 100 100 103.5 $5,400 Basket Cost 2000 329 Chain Weighted Price Indices Calculation of a Chain-Weighted Price Index 1. Establish a representative basket of goods and services for the base year, and a representative basket of goods and services for the current year. 2. Find the average prices of the goods/services during the base year, and the average prices of the goods/services during the current year. 3. Calculate the total cost of the base-year basket and the current-year basket using the base year’s prices. 4. The first simple price index is the ratio of the current year’s total cost to the base year’s total cost. 5. Calculate the total cost of the base-year basket and the current-year basket using the current year’s prices. 6. The second simple price index is the ratio of the current year’s total cost to the base year’s total cost. 7. The chain-weighted price index is the geometric mean of the two simple price indices (multiplied by 100). 330 Chain Weighted Price Indices Chain weighted price indices are an attempt to correct the inflation biases Over three years, the average consumer purchased the following quantities of goods/services. Beer Car House 2000 30 units 0.10 units 0.02 units 2001 28 units 0.09 units 0.03 units 2002 33 units 0.08 units 0.01 units The average prices of these goods over three years were: Beer Car House 2000 $20 $28,000 $100,000 2001 $21 $30,000 $98,000 2002 $20 $31,000 $102,000 331 Chain Weighted Price Indices Let 2000 be the base year 2001 Index Calculations 2002 Index Calculations Prices 2000 2001 2000 $5,400 $5,590 2001 $6,080 $6,228 Basket Basket Prices 2000 2002 2000 $5,400 $5,740 2002 $3,900 $4,160 $6,080 1.126 $5,400 $3,900 0.722 $5,400 $6,228 1.114 $5,590 C-CPI2001 1.1261.114 100 112.0 $4,160 0.725 $5,740 C-CPI2002 0.9360.934 100 72.3 332 Inflation Price indices are expressed in terms of a base year. The index for the base year is defined as 100. Indices for other years give prices relative to the base year. Example Suppose 2002 is the base year and the CPI for 2003 is 102.5. This means that, on average, prices in 2003 were 102.5 / 100 = 102.5% times the prices in 2002. Inflation is calculated as the growth rate in a price index Total inflation from year X to year Y ln Price IndexY ln Price Index X Effective annual inflation from year X to year Y ln Price IndexY ln Price Index X YX 333 Inflation Using the price indices, calculate the following effective annual inflation rates from 1974 to 2004. CPI-U (all items) CPI-U (energy) CPI-U (medical care) CPI-U (transportation) ln 188.89 ln 49.32 2004 1974 ln 151.33 ln 38.04 2004 1974 ln 310.14 ln 42.37 2004 1974 ln 163.06 ln 45.76 2004 1974 4.5% 4.6% 6.6% 4.2% 334 Inflation There does not appear to be much difference between a 4.2% inflation rate (for transportation) and a 4.5% inflation rate (for all items). However, compounded over 30 years, the 0.3% difference can become significant. Using the price indices, calculate the following total inflation rates for all items and for transportation alone. CPI-U (all items) ln 188.89 ln 49.32 134% CPI-U (transportation) ln 163.06 ln 45.76 127% Total inflation for all items is 7% more than for transportation alone. 335 Inflation On which price index the inflation measure is based alters the definition of inflation. Example Inflation calculated from the CPI-U is called “consumer inflation.” Inflation calculated from the PPI is called “producer inflation.” Inflation calculated from the IPD is called “(overall) inflation.” 336 Inflation Biases in inflation measures 1. New Goods Bias Newly invented goods are more expensive, but usually more desirable. Example: If people stop buying $50 VHS players and start buying $100 DVD players, we will see an increase in inflation measures. However, the extra happiness people get from DVD players exceeds the additional cost of the players (vs. VHS players) – otherwise people would buy the VHS players instead. Conclusion: Inflation measure can mask the fact that people are happier buying the more expensive product. 337 Inflation Biases in inflation measures 2. Quality Change Bias Inflation measures imperfectly account for quality changes. Example: As computers become more powerful, even though their retail prices do not change, for the purpose of price index calculations computers are recorded as being less expensive. The purpose of this is to account for the fact that, one computer today is the equivalent of several computers from five years ago. Conclusion: Depending on how statisticians interpret quality changes, the official inflation measures can erroneously account for changes in product quality. 338 Inflation September 1977 4 MHz Disk storage extra Monitor extra RAM extra $1,000 (assembled) 339 Inflation October 1981 32K RAM 1 180K Disk drive Monitor extra $1,275 340 Inflation October 1984 64K RAM Monochrome monitor 2 360K Disk drives $1,300 341 Inflation March 1986 10 MB HD Monochrome monitor 256K RAM 360K Disk Drive Mouse $1,700 342 Inflation July 1996 75 MHz 510 MB hard drive Color monitor 8 MB RAM 16 bit audio $2,900 343 Inflation August 2006 2.8 GHz 250 GB hard drive 19” Flat panel monitor 1 GB RAM $990 344 Inflation Biases in inflation measures 3. Commodity and Outlet Substitution As prices change, consumers’ buying habits change. Example: As the price of shoes rises, people will alter what they buy (fewer shoes and more of other things) and where they buy (buy shoes at discount retailers rather than high-end retailers). Conclusion: As people change what they buy, the official basket will no longer reflect people’s true purchase decisions. As people change where they buy, official price measures will no longer reflect the prices people are actually paying. 345 Inflation Consequences of erroneously measuring inflation Wage increases, Social Security benefits, and variable interest rates are tied to official inflation measures. Many economists believe that the simple CPI-U overstates annual inflation by as much as 1%. Because Social Security retirement benefits are indexed to inflation, these benefits will increase faster than intended. 346 Inflation Example In 1970, the law intended (1) that a retiree receive $4,000 annually in Social Security retirement benefits, and (2) that the retirement benefits be increased each year to adjust for inflation. Suppose the actual annual inflation rate is 2.9%. By 2004, retirees should receive $10,573 annually. This sum will buy the same quantity of goods and services that $4,000 bought in 1970. Suppose that the official inflation rate is 3.9%. By 2004, retirees are actually receiving $14,689 annually. The overstating of inflation has caused retirement benefits to grow in real terms. Current debate about indexing Social Security benefits to the chain-weighted CPI is an attempt to correct this real growth. 347 Effects of Unanticipated Inflation Anticipated inflation is not a problem because people will incorporate their (correct) expectations about inflation into their decisions. Unanticipated inflation creates a problem because, had people known what inflation was going to be, they would have made different decisions. Losers: Lenders When lenders receive back the monies they loaned, the monies have less purchasing power than the lenders anticipated. Winners: Borrowers The dollars that borrowers pay back to lenders have less value (i.e. purchasing power) than the borrowers had anticipated. Losers: Workers and those on fixed incomes Until workers’ contracts expire, they cannot negotiate higher wages to compensate for the unexpectedly higher inflation. Similarly, people on fixed incomes have less purchasing power than they anticipated. Winners: Employers Until workers’ contracts expire, the cost of wages to employers is less (in real terms) than the employers anticipated. 348 Nominal vs. Real Return Nominal return is the dollar return on an investment. Real return is the purchasing power return on an investment. As with GDP and RGDP, what matters to the investor is the real return, not the nominal return. Example A lender is willing to loan $100,000 for one year in exchange for an annual interest rate of 6%. The 6% rate is called the nominal interest rate and represents the dollar return on the loan Each year, the lender receives ($100,000)(0.06) = $6,000 in interest. The 6% loan compensates the lender for three costs: 1. Credit risk risk of loan default (e.g. 1%) 2. Opportunity risk risk of not investing money in a better opportunity (e.g. 3%) 3. Inflation risk risk of purchasing power of loaned money eroding (e.g. 2%) 349 Nominal vs. Real Return As long as inflation remains at 2%, the lender is exactly compensated for the risks from lending the lender makes “zero economic return.” At the end of one year, the lender will receive $106,000. Meanwhile, inflation will have reduced the purchasing power of the $106,000 to $106,000 / 1.02 = $103,922. Thus, the lender’s expected nominal return on the loan is $6,000 while the expected real return on the loan is $3,922. Suppose that, the day after the loan is made, inflation increases to 3%. The lender still receives $106,000 at the end of the year. But, the purchasing power of the $106,000 is only $106,000 / 1.03 = $102,913. Thus, the lender’s nominal return is $106,000, but the real return is $2,913 – or $1,009 less than the lender had expected. 350 Nominal vs. Real Return The real rate of return is given by the formula: r 1 R 1 1 r real interest rate R nominal interest rate inflation rate Example At 6% nominal interest and a 2% inflation rate, the real rate of return is: 1 0.06 1 0.039 3.9% 1 0.02 An increase in inflation to 3% reduces the real rate of return to: 1 0.06 1 0.029 2.9% 1 0.03 351 Nominal vs. Real GDP Nominal GDP measures productivity in terms of the dollar value generated. Real GDP measures productivity in terms of the purchasing power generated. Productivity in 2001 Cars produced Average price per unit Contribution to GDP 1,000,000 $28,000 $28.0 billion Contribution to GDP Contribution to GDP rose 9.9% But, production of cars only increased 3.0% Productivity in 2002 Cars produced Average price per unit From 2001 to 2002 1,030,000 $30,000 Discrepancy of 6.9% is due to the price of cars rising. $30.9 billion We say that GDP rose 9.9%, but RGDP rose 3.0%. 352 Nominal vs. Real GDP We can use price indices to convert GDP to RGDP. The price index used to convert is called (generically) the GDP deflator. We can use either the IPD (to obtain RGDP) or the chain-weighted IPD (to get chain-weighted RGDP). GDP for year X Real GDP for year X in terms of year Y prices GDP deflator for year Y GDP deflator for year X 2001: GDP = $10.0 trillion, IPD = 109.8 2002: GDP = $10.4 trillion, IPD = 111.3 What is the growth rate in nominal and real GDP from 2001 to 2002? Growth rate of nominal GDP = ln(10.4) – ln(10.0) = 3.9% Real GDP for 2002 in 2001 prices = ($10.4 trillion / 111.3) (109.8) = $10.26 trillion Growth rate of real GDP = ln(10.26) – ln(10.0) = 2.6% 353 2009Q1 2008Q3 2008Q1 2007Q3 2007Q1 2006Q3 2006Q1 2005Q3 2005Q1 2004Q3 2004Q1 2003Q3 2003Q1 2002Q3 2002Q1 2001Q3 2001Q1 2000Q3 2000Q1 1999Q3 1999Q1 1998Q3 1998Q1 1997Q3 1997Q1 1996Q3 1996Q1 1995Q3 1995Q1 1994Q3 1994Q1 1993Q3 1993Q1 1992Q3 1992Q1 1991Q3 1991Q1 Business Cycles 16000 GDP (trillions) 14000 12000 10000 8000 RGDP (1991.1 trillions) 6000 4000 354 Business Cycles Business cycles are the natural fluctuations in economic output around “full employment output.” Full employment RGDP is the maximum sustainable output level. For short periods, the economy can operate above full employment GDP. This is achieved by, for example, significant numbers of workers working more than 40-hour weeks, factories being run around the clock, etc. In the long-run, the economy cannot sustain such overproduction because workers and machinery “burnout” – workers move to less stressful jobs, machines breakdown due to lack of maintenance due, in turn, to a lack of down-time. 355 2009Q1 2008Q3 2008Q1 2007Q3 2007Q1 2006Q3 2006Q1 2005Q3 2005Q1 2004Q3 1992.1: Start of Clinton’s first term 2004Q1 2003Q3 2003Q1 2002Q3 2002Q1 2001Q3 2001Q1 7 2000Q3 2000Q1 1999Q3 1999Q1 1998Q3 1998Q1 1997Q3 1997Q1 1996Q3 1996Q1 1995Q3 1995Q1 1994Q3 9 1994Q1 1993Q3 1993Q1 1992Q3 1992Q1 1991Q3 1991Q1 Trillions Business Cycles 11 2005.4: Hurricane Katrina 10 2001.1: Dot-com crash 8 2008.2: Housing Crash 2003.1: Iraq War begins 6 2001.3: 9/11 and Enron 5 1996.1: End of Clinton’s first term 4 356 1947Q1 1948Q1 1949Q1 1950Q1 1951Q1 1952Q1 1953Q1 1954Q1 1955Q1 1956Q1 1957Q1 1958Q1 1959Q1 1960Q1 1961Q1 1962Q1 1963Q1 1964Q1 1965Q1 1966Q1 1967Q1 1968Q1 1969Q1 1970Q1 1971Q1 1972Q1 1973Q1 1974Q1 1975Q1 1976Q1 1977Q1 1978Q1 1979Q1 1980Q1 1981Q1 1982Q1 1983Q1 1984Q1 1985Q1 1986Q1 1987Q1 1988Q1 1989Q1 1990Q1 1991Q1 1992Q1 1993Q1 1994Q1 1995Q1 1996Q1 1997Q1 1998Q1 1999Q1 2000Q1 2001Q1 2002Q1 2003Q1 2004Q1 2005Q1 2006Q1 2007Q1 2008Q1 2009Q1 Trillions Business Cycles 14 12 10 8 6 4 2 0 357 Employment Participation Rate Population Institutionalized Labor Force Civilians Non-institutionalized Military Civilians Non-participating Labor Force Unemployed Employed Unemployment Rate Unemployed Labor Force 358 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 Percent of Civilian Labor Force Employment Unemployment Rate 12 10 8 6 4 2 0 359 Employment Unemployment Rates by Educational Attainment 12.0% 10.0% 8.0% 6.0% 4.0% 2.0% MBA BS/BA 2002 2000 1998 1996 1994 1992 1990 1988 1986 1984 1982 1980 1978 1976 1974 1972 1970 0.0% Total 360 Employment Official unemployment figures understate true unemployment 1. Excludes people who have been unemployed for a long time. People who have been unemployed for 12 months or longer are no longer counted as part of the labor force and are classified as non-employed. 2. Does not account for overqualified workers. People who are overqualified for their positions are not being used to their full capacity. While, in reality, these people are underemployed, they are counted as fully employed. Example: Someone who qualifies for a $100,000 job but currently holds a $40,000 job should be counted as only 40% employed, but is actually counted as fully employed. 3. Does not account for part-time work. People who work work full-time and people who only work part-time are both considered “employed” to the same extent. In reality, those who are employed part-time are underemployed. Example: Someone who works 20 hours per week should be counted as 50% employed, but is actually counted as fully employed. 361 Employment Components of Unemployment 1. Cyclical unemployment unemployment because job was temporarily eliminated due to business cycle downturn. 2. Structural unemployment unemployment because job was permanently eliminated due to market changes. 3. Frictional unemployment unemployment due to a job change. Natural unemployment = Structural unemployment plus Frictional unemployment Natural unemployment remains in the long-run as “background” unemployment. 362 Employment Relationship between RGDP and Unemployment Because RGDP measures the production of goods and services, and because labor is required for all production, business cycles and unemployment tend to move in opposite directions. Frictional unemployment is estimated to be 1% to 2%. This is the lowest attainable unemployment rate. Occurs when structural and cyclical unemployment rates are both zero. 363 Employment 10 Relationship between RGDP and Unemployment (1991.1 to 2009.2) 9 Percent Unemployed 8 2003.2 7 2001.1: Dot-com crash 2007.3 6 5 4 3 5000 6000 7000 8000 9000 10000 11000 12000 13000 14000 15000 RGDP (billions 2005$) 364 Employment Structural Unemployment and Economic Development While structural unemployment is the most painful (jobs disappear permanently), it is often necessary for even greater future employment. Example Foreign competition in the steel industry causes a permanent loss of manufacturing jobs in the U.S. But, resources shift from manufacturing to other sectors resulting in unforeseen employment gains. Example When the automobile replaced the horse, there was tremendous structural unemployment among horse breeders, stables, tack, buggy, wagon manufacturers, and blacksmiths. What no one at the time could have foreseen was the massive creation of jobs in automobile manufacturing, service, sales, tire manufacturing, gasoline production, distribution, retailing, automotive sound systems production, car detailing, etc. 365 Employment Economic, social, and political factors contribute to cross-country differences in unemployment Economic factors Less infrastructure (e.g. roads, electricity, water) in Central America results in higher unemployment because it is too costly for many modern firms to locate there. Social factors As a matter of tradition, Japanese employers do not fire or layoff workers. This results is higher unemployment as less productive employees cannot be replaced with more productive employees. The tradition extends to banks continuing to provide credit to firms that are insolvent. As with the workers, this results in an inability of the economy to replace unprofitable firms with profitable firms. Political factors German law makes it extremely difficult to fire workers. As a result, firms are reluctant to hire workers and so the unemployment rate in Germany is consistently above 10%. 366 China Venezuela Mexico Brazil Germany Spain France European Union Italy Chile Canada United States United Kingdom Employment Unemployment Rates (2004) 25% 20% 15% 10% 5% 0% 367 Aggregate Demand and Aggregate Supply As with microeconomic analysis, we can summarize the behaviors of producers and consumers with demand and supply. The behavior of all consumers as a whole is summarized by aggregate demand. The behavior of all producers as a whole is summarized by aggregate supply. The equilibrium formed by aggregate demand and aggregate supply is called the macroequilibrium. 368 Price Index Aggregate Demand Typical Aggregate Demand Shocks 1. Change in consumers’ spending that is independent of price changes. 2. Change in investment spending that is independent of price changes. 3. Change in government spending that is independent of price changes. 4. Change in net export spending that is independent of (domestic) price changes. Increase in AD AD’ Decrease in AD AD’’ AD RGDP 369 Aggregate Demand Price Index Aggregate demand is the relationship between the average price level and aggregate expenditures. Aggregate expenditures is the amount of purchasing power the economy spends at a given price level. Average price level AD RGDP AD in macro is analogous to D in micro. AE in macro is analogous to Qd in micro. Aggregate Expenditures 370 Price Index Aggregate Supply Short-Run Aggregate Supply Shock LRAS SRAS 1. Change in resource prices. Long-Run Aggregate Supply Shock 1. Change in quantity of resources. 2. Change in technology. RGDP Full employment RGDP 371 Aggregate Supply SRAS’ SRAS Decrease in SRAS Price Index Price Index A change in resource prices without a change in the quantity of resources impacts SRAS, but does not impact LRAS because the maximum attainable production level (i.e. full employment RGDP) has not changed. SRAS SRAS’ Increase in SRAS RGDP RGDP 372 Aggregate Supply LRAS LRAS’ Increase in full employment RGDP Price Index Price Index A change in the quantity of resources impacts LRAS because the maximum attainable production level (i.e. full employment RGDP) has changed. LRAS’ LRAS Decrease in full employment RGDP 373 Aggegate Supply LRAS LRAS’ Non-durables Price Index An increase in LRAS and an increase in the PPF are the same thing. The PPF shows how the increase in production can be broken down into two types of goods. The LRAS shows production of all goods combined into a single measure. Increase in PPF Durables 374 Aggegate Supply SRAS SRAS’ Factor intensive products Price Index An increase in SRAS is caused by a reduction in the prices of factors. This will cause the economy to shift production toward products that intensively use factors. Because the quantity of factors has not changed, the PPF does not change. Movement along the PPF Factor non-intensive products 375 Price Index Aggregate Supply SRAS SR aggregate supply is the relationship between the average price level and aggregate output in the short run. Aggregate output is the amount of real output the economy generates at a given price level. Average price level AS in macro is analogous to S in micro. RGDP RGDP in macro is analogous to Qs in micro. Aggregate output = RGDP 376 Price Index Short Run Macroequilibrium Short-Run Equilibrium LRAS SRAS 112 Equilibrium Point A is a short-run macroequilibrium because (a) at Point A, aggregate expenditures equal aggregate output, and (b) at Point A, aggregate output does not equal full employment output. A AD $8 t. RGDP Full employment RGDP 377 124 Price Index Long Run Macroequilibrium Long-Run Equilibrium LRAS SRAS A AD $8.2 t. Equilibrium Point A is a long-run macroequilibrium because (a) at Point A, aggregate expenditures equal aggregate output, and (b) at Point A, aggregate output equals full employment output. RGDP 378 Price Index Short Run to Long Run Transition 1. At Point A, equilibrium output is less than full employment output. This means that there is unemployment. LRAS 2. In the long run, competition among the unemployed leads to a reduction in the prices of factors. This results in an increase in SRAS. SRAS 112 110 SRAS’ A B AD $8 t. $8.2 t. RGDP 3. The increase in SRAS causes a reduction in the average price level and an increase in output. The economy moves to Point B. 4. Point B is a long-run equilibrium because (a) aggregate expenditures equal aggregate output, and (b) aggregate output equals full employment output. 379 Macroeconomic Shocks 124 Price Index 1. The economy starts at long-run equilibrium Point A. LRAS SRAS A AD 118 B SRAS’ C 116 $8.1 t. 3. The economy moves to equilibrium Point B. SR impact of shock: Prices fall, RGDP falls. 4. Because there is unemployment at Point B, the equilibrium is only a short-run equilibrium. AD’ $8.2 t. 2. A decrease in consumer confidence causes consumption to fall. This is a negative shock to AD AD decreases. RGDP 5. In the long run, unemployment puts downward pressure on the prices of factors causing SRAS to increase. 6. The economy moves to equilibrium Point C. LR impact of shock: Prices fall, RGDP unchanged. 380 Macroeconomic Shocks 120 Price Index 1. The economy starts at long-run equilibrium Point A. LRAS C SRAS A 2. The government increases its spending. This is a positive shock to AD AD increases. AD’ 3. The economy moves to equilibrium Point B. SR impact of shock: Prices rise, RGDP rises. AD 4. Because there is over employment at Point B, the equilibrium is only a short-run equilibrium. B 118 115 SRAS’ $8.2 t. $8.3 t. RGDP 5. In the long run, over employment puts upward pressure on the prices of factors causing SRAS to decrease. 6. The economy moves to equilibrium Point C. LR impact of shock: Prices rise, RGDP unchanged. 381 Macroeconomic Shocks: Creation of the Internet 1. In 1997, real GDP was $8.7 trillion and the IPD was 109.0 (Point A). Price Index 2. The creation and growth of the Internet represents a new resource. LRAS increases over the period 1997 through 2002. LRAS LRAS’ SRAS SRAS’ A 3. Increase in quantity of resources causes a reduction in the prices of resources. SRAS increases. 4. Economy moves to Point B. Prices are lower and RGDP is higher. 109 B AD $8.7 t. $10.1 t. RGDP 382 Macroeconomic Shocks: Creation of the Internet What really happened 116 Price Index From 1997 to 2002, AD was increasing also, so the economy moved from Point A to Point C. LRAS LRAS’ SRAS As a result, by 2002, the IPD had risen to 116 instead of falling. C A 109 AD’ AD $8.7 t. $10.1 t. RGDP 383 Macroeconomic Shocks: Creation of the Internet Price Index However, if the Internet had not been created, the same increase in AD would have increased the prices of resources and pushed the IPD higher than 116 to Point D. LRAS D SRAS’ SRAS A 109 AD’ AD $8.7 t. RGDP 384 Macroeconomic Shocks: War Disrupts Oil Markets 1. In 2002, real GDP was $10.1 trillion and the IPD was 116 (Point A). Price Index 2. The Iraq War causes a disruption in oil markets resulting in an increase in the price of oil. The market does not react as if the quantity of oil available has declined because the market believes the disruption to be temporary. LRAS SRAS’ SRAS 3. Increase in the price of oil causes the SRAS to decrease. 4. Economy moves to Point B (for the short run). RGDP declines and prices rise. B A 116 AD $10.1 t. RGDP 385 Macroeconomic Shocks: War Disrupts Oil Markets 5. In the long run, oil production will return to normal and oil prices will fall. Price Index 6. This will result in an increase in the SRAS to its original level. The economy will return to Point A. LRAS SRAS’ SRAS 7. In the long run, RGDP returns to full employment and prices return to their original level. B A 116 AD $10.1 t. RGDP 386 Macroeconomic Shocks: War Disrupts Oil Markets What really happened Price Index At the same time that oil markets were disrupted, the Federal government increased spending to pay for the war and Homeland Security. LRAS C SRAS’ SRAS 1. Increase in the price of oil causes the SRAS to decrease. 2. Almost simultaneously, AD increases due to the increase in government spending. A 116 AD’ 3. Economy moves to Point C. Prices rise, but RGDP remains at full employment. AD $10.1 t. RGDP 387 Macroeconomic Shocks: Housing Bubble Bursts 1. In 2008, real GDP was $13 trillion and the IPD was 108 (Point A). Price Index 2. When the housing bubble burst, AD fell because people perceived themselves to be less wealthy (decline in consumption), and banks cut back on lending (decline in investment). This would have moved the economy to point B. LRAS SRAS 3. Over time, unemployment would have caused prices to fall and the economy would have moved to point C. SRAS’ A 108 B C AD’ $13 t. AD RGDP 388 Macroeconomic Shocks: Housing Bubble Bursts What really happened Price Index 2. When the housing bubble burst, AD fell because people perceived themselves to be less wealthy (decline in consumption), and banks cut back on lending (decline in investment). This would have moved the economy to point B. LRAS SRAS SRAS’ 4. Unemployment causes prices to drop and the economy begins to heal itself. Then, as increased government spending kicks in, we will find the economy being pushed above full employment RGDP (point C). A 108 C B AD’ $13 t. 3. The government passed legislation to dramatically increase spending in an attempt to increase AD. AD RGDP 389 Deflationary and Inflationary Gaps When the short run equilibrium output is less than full employment output, we say that there exists a deflationary gap. In the long run, SRAS will increase causing the economy to achieve full employment along with a fall in the average price level. LRAS SRAS Deflationary gap Price Index Price Index When the short run equilibrium output is greater than full employment output, we say that there exists an inflationary gap. In the long run, SRAS will decrease causing the economy to achieve full employment along with an increase in the average price level. LRAS SRAS Inflationary gap AD AD RGDP RGDP 390 Expenditure Multiplier From the expenditures approach to calculating GDP, we have: Y C I G X M Let consumption be comprised of two components: autonomous and induced consumption. C C0 bYd Induced consumption Autonomous consumption Autonomous consumption An amount of money that (on average) consumers will spend regardless of their incomes. Induced consumption An amount of money that (on average) consumers will spend as a function of their disposable incomes. 391 Expenditure Multiplier Disposable income is income net of income taxes. Yd Y 1 t T R t = marginal tax rate (e.g. 20% of income) T = flat tax (e.g. $5,000) R = government transfers (e.g. $2,000) Induced consumption is: bYd b Y 1 t T R where b is the marginal propensity to consume (MPC). MPC is the amount of money out of every $1 of disposable income that consumers will spend on consumption. 392 Expenditure Multiplier Example Suppose C0 = $12,000, Y = $50,000, t = 0.2, T = $1,000, R = $0, and b = 0.8. Disposable Income: Yd Y 1 t T R $50,000 1 0.2 $1,000 $39,000 Consumption: C C0 bYd $12,000 0.8$39,000 $43,200 Savings: S Yd C $39,000 $43,200 $4,200 In this example, households breakeven at (on average) an income level of $76,250. Disposable Income: Yd Y 1 t T R $76,250 1 0.2 $1,000 $60,000 Consumption: C C0 bYd $12,000 0.8$60,000 $60,000 Savings: S Yd C $60,000 $60,000 $0 393 Expenditure Multiplier Similarly, let imports be comprised of autonomous and induced components. M M0 mYd Induced imports Autonomous imports Note that savings (S ) is Y – C, not Y – C – M, because consumption includes purchases of both domestic products and imports. Because imports should not be counted toward the domestic country’s GDP, we subtract M from Y in the GDP equation. 394 Expenditure Multiplier Autonomous Expenditures I Investment G Government spending C0 Autonomous consumption M0 X Autonomous imports Exports Induced Expenditures bYd Induced consumption mYd Induced imports Parameters b Marginal propensity to consume m Marginal propensity to import t Marginal tax rate T Flat tax R Transfers Note that exports (X ) do not include an induced component. While it is the case that spending on exports is a function of income, the spending is a function of foreign consumers’ incomes. As such exports are autonomous with respect to domestic income. 395 Expenditure Multiplier We now have a set of equations that describe spending. Y C I G X M C C0 bYd M M0 mYd Yd Y (1 t ) T R We can solve these equations for Y to obtain GDP as a function of autonomous spending: Y 1 C0 I G X M0 b m T R 1 b m (1 t ) 396 Expenditure Multiplier Retrieve nominal quarterly data on consumption and disposable personal income from Economy.com’s database (1959.1 to 2005.1). Via OLS, find estimates for autonomous consumption and the marginal propensity to consume and construct the estimated consumption equation. 1. State the model we are attempting to estimate. C C0 bYd 2. Run the regression. Intercept Disposable Income Coefficients -67.55519062 0.931256974 3. State the estimated regression model. C 67.56 0.93Yd 397 Expenditure Multiplier Retrieve nominal quarterly data on imports and disposable personal income from Economy.com’s database (1959.1 to 2005.1). Via OLS, find estimates for autonomous imports and the marginal propensity to import and construct the estimated imports equation. 1. State the model we are attempting to estimate. M M0 mYd 2. Run the regression. Intercept Disposable Income Coefficients -104.9787082 0.192439729 3. State the estimated regression model. M 104.98 0.19Yd 398 Expenditure Multiplier Retrieve nominal quarterly data on GDP and disposable personal income from Economy.com’s database (1959.1 to 2005.1). Via OLS, find estimates for flat taxes less transfers and the marginal tax rate and construct the estimated disposable income equation. 1. State the model we are attempting to estimate. Yd Y 1 t T R 2. Run the regression. Intercept GDP Coefficients -56.33440016 0.74648681 3. State the estimated regression model. Yd Y 0.75 56.33 1 t 0.75 t 0.25 T R 56.33 T R 56.33 399 Expenditure Multiplier Retrieve nominal quarterly data on the remaining autonomous expenditures for 2005.1. Remaining Autonomous Expenditures I G X Investment Government spending Exports $2,130.7 billion $2,316.5 billion $1,262.4 billion 400 Expenditure Multiplier Combine these figures into a single equation that expresses GDP as a function of autonomous spending. Y 1 C0 I G X M0 b m T R 1 b m (1 t ) Autonomous Expenditures I $2,130.7 b. G $2,316.5 b. C0 –$67.56 b. Parameters b 0.93 m 0.19 t 0.25 M0 X T – R $56.33 b. Y –$104.98 b. $1,262.4 b. 1 67.56 2130.7 2316.5 1262.4 104.98 0.93 0.19 56.33 1 0.93 0.19 (1 0.25) Y 2.25 5683.93 $12,773 billion Estimate of GDP as of 2005.1 401 Expenditure Multiplier 1 b m We call the fraction 1 b m (1 t ) the expenditures multiplier and 1 b m (1 t ) the flat tax and transfer multiplier We can use the multipliers to estimate the impact of a change in autonomous spending on GDP. For A C0 , I, G, X , or M0 Y 1 A 1 b m (1 t ) For A T R Y b m 1 b m (1 t ) A 402 Fiscal Policy Example Suppose the expenditures multiplier is 2.21. What is the impact on GDP of the government increasing spending by $200 billion? For A C0 , I, G, X , or M0 Y 2.21 A A 200 Y 2.21 200 $442 billion Suppose the flat tax and transfers multiplier is expenditures multiplier is –2.52. What is the impact on GDP of the government reducing transfer payments by $200 billion? For A T R Y 2.52 A R 200 A T R 200 A 200 Y 2.52 200 $504 billion 403 Fiscal Policy Republicans have proposed cutting marginal tax rates from 25% to 23% and leaving government spending unchanged. Democrats have proposed increasing marginal tax rates from 25% to 32% and increasing government spending by $1 trillion. Using current expenditure values and the previously derived parameter estimates, estimate the impact of each plan on GDP. I G C0 M0 X Current 2130.7 2316.5 -67.6 -105.0 1262.4 Republican Plan 2130.7 2316.5 -67.6 -105.0 1262.4 Democrat Plan 2130.7 3316.5 -67.6 -105.0 1262.4 b m t T-R 0.93 0.19 0.25 56.3 0.93 0.19 0.23 56.3 0.93 0.19 0.32 56.3 multiplier autonomous expenditures 2.25 5683.9 2.32 5683.9 2.01 6683.9 Predicted GDP 12773 13212 13454 404 Fiscal Policy Estimate the impact on the total government surplus of the two plans. Government surplus Tax Revenues Government Spending T R tY G I G C0 M0 X Current 2130.7 2316.5 -67.6 -105.0 1262.4 Republican Plan 2130.7 2316.5 -67.6 -105.0 1262.4 Democrat Plan 2130.7 3316.5 -67.6 -105.0 1262.4 b m t T-R 0.93 0.19 0.25 56.3 0.93 0.19 0.23 56.3 0.93 0.19 0.32 56.3 multiplier autonomous expenditures 2.25 5683.9 2.32 5683.9 2.01 6683.9 Predicted GDP 12773 13212 13454 Tax Revenue Spending 3249.5 2316.5 3095.2 2316.5 4361.6 3316.5 Surplus (Deficit) -933.0 -778.7 -1045.1 405 Fiscal Policy 1. The economy starts at short run equilibrium Point A. The autonomous expenditures multiplier is 2.5. There is a $200 billion deflationary gap. Price Index 2. In an attempt to close the deflationary gap, the government increases spending by $80 billion. This will increase GDP by (2.5)($80 billion) = $200 billion. LRAS SRAS $200 b. shift 101.3 100.0 3. The increase in government spending is a shock to AD. AD increases by $200 billion. B 4. Economy moves to Point B. 5. If prices had remained constant, RGDP would have increased by $200 billion to $7.8 t. Instead, prices rise AD’ by 1.3%. A AD $7.6 t. $7.7 t. $7.8 t. RGDP 6. GDP increased by (2.5)($80 b.) = $200 billion to $7.8 trillion. RGDP only increased by $100 billion to $7.7 trillion. $7.7 t. = ($7.8 t.)(100.0)/(101.3) 406 Economic Policy Any organized attempt to influence the economy is called economic policy. There are three major types of economic policy: 1. Fiscal policy Any attempt by the Federal government to influence either inflation or RGDP. Government enacts fiscal policy via alterations in government spending and taxation. 2. Monetary policy Any attempt by the Central Bank to influence either inflation or RGDP. Central Bank enacts monetary policy via alterations in the money supply. 3. Trade policy Any attempt by either the Federal government or the Central Bank to influence trade. Trade policy is enacted via alterations in tariffs, the exchange rate, and the money supply. In the United States, the fiscal policy is almost always aimed at influencing RGDP, monetary policy is usually (though not always) aimed at influencing inflation. Trade policy is almost always conducted by the Federal government. 407 1983Q1 1984Q2 1985Q3 1986Q4 1988Q1 1989Q2 1990Q3 1991Q4 1993Q1 1994Q2 1995Q3 1996Q4 1998Q1 1999Q2 2000Q3 2001Q4 2003Q1 2004Q2 2005Q3 2006Q4 2008Q1 2009Q2 Economic Policy Government Spending (including transfers) as Fraction of GDP 21% 20% 19% 18% 17% 16% 15% 408 Economic Policy Federal Government Revenue (all sources) as Fraction of GDP 25% 20% 15% 10% 5% 2008 2005 2002 1999 1996 1993 1990 1987 1984 1981 1978 1975 1972 1969 1966 1963 1960 1957 1954 0% 409 Economic Policy Federal Government Revenue (all sources, billions 2008$) $3,000 $2,500 $2,000 $1,500 $1,000 $500 2008 2005 2002 1999 1996 1993 1990 1987 1984 1981 1978 1975 1972 1969 1966 1963 1960 1957 1954 $0 410 Policy Lags Policy lags are time intervals that pass between the need for economic policy and the realization of the effects of economic policy. Major types of policy lags: 1. Recognition lag The time interval between when economic policy is needed and the realization that economic policy is needed. Often, several months will pass between a turning point in the business cycle and the realization that a turning point has been reached. 2. Decision lag The time interval between the realization that economic policy is needed and the determination of the details of what policy to enact. The Federal Reserve’s decision lag tends to be extremely short because (a) the Board of Governors is small (7 people), (b) the BOG is comprised entirely of professional economists, bankers, and accountants, and (c) the BOG is insulated from political pressures. The Federal government’s decision lag tends to be extremely long for the opposite reasons. 3. Implementation lag The time interval between the decision as to what policy to employ and the full impact of the policy on the economy. Implementation lags can be moderately to extremely long. 411 Policy Lags Because the economy is self-correcting (i.e. the economy naturally returns to full employment on its own), and because policy lags cannot be avoided, most economic policy is destabilizing. Example The economy starts into recession in January. It takes until March before people become aware that the economy is in recession. The Federal government debates enacting tax cuts to help bolster the economy. It takes until June for the Congress and President to agree on a course of action. Tax cuts are enacted in June, but the full impact of the tax cuts doesn’t filter through the economy until October. However, by October, the economy had naturally turned around on its own. Result: The expansionary policy reinforces the expansion that is naturally taking place resulting in the economy overshooting full employment and so generating inflation. 412 Attributes of Money Any object that fulfills the following three criteria is considered money. 1. Medium of exchange Object is readily accepted in exchange for goods and services. 2. Store of value Object maintains its value over time. 3. Standard of value Values of other objects are measured relative to this object. Notice that it is not necessary for the object to have an inherent value (i.e. value beyond being a medium of exchange). Objects used for money that have inherent value are called commodity money (e.g. gold coins). Objects used for money that have no inherent value are called fiat money (e.g. paper bills). 413 Benefits of Money An economy based on money (rather than barter) achieves greater productivity. 1. Money eliminates double incidence of wants. Without money, every exchange must involve two transactions Suppose the a person seeks to buy product A and has product B to offer in exchange. For exchange to occur, the person must find someone who (1) seeks to buy product B, and (2) has product A to offer in exchange. In every exchange, each party is both a buyer and a seller. With money, every exchange involves one transaction only A person seeks to buy product A. The person must find someone who offers product A. In the exchange, one person is a buyer only and the other person is a seller only. 2. Money makes intertemporal substitution of consumption possible. Without money, people must consume products as they are produced because most products will degrade over time. With money, people can forego current consumption for future consumption via saving, and can forego future consumption for current consumption via borrowing. 3. Money makes investment possible. Because money allows for intertemporal substitution of purchasing power, people can borrow from their future selves to invest (in human or physical capital) so as to create greater future income. 414 Benefits of Money Example A person requires $90,000 to pay for a college education. Without the education, the person earns $30,000 annually. With the education, the person earns $60,000 annually. The person incurs $15,000 in annual living expenses regardless of his education. Option #1: Save to pay for college Ages 18 – 27 Earn $30,000 per year and save $15,000 per year Ages 28 – 31 Attend college at a total cost of $150,000 Ages 32 – 65 Earn $60,000 per year Lifetime earnings = $2,340,000 Option #2: Borrow $150,000 to pay for college and living expenses Ages 18 – 21 Attend college at a total cost of $150,000 Ages 22 – 31 Earn $60,000 per year and pay back $15,000 per year Ages 32 – 65 Earn $60,000 per year Lifetime earnings = $2,640,000 Borrowing to invest in education increased lifetime earnings by $300,000 415 Federal Reserve The entity responsible for maintaining a country’s money supply is the central bank. In the U.S., the central bank is called the Federal Reserve (or the “Fed”). The Fed prints money, establishes rules under which banks operate, and aids in the check clearing process. The Fed is comprised of 12 District Banks. Monetary policy decisions are made by the Board of Governors – a panel of seven people appointed to 14-year terms. 416 Liquidity Classifications Financial assets are classified according to liquidity. Liquidity is the ability to turn an asset into cash quickly and without incurring a loss. MB M0 + bank deposits at the Federal Reserve M1 Notes + coins + checkable deposits + travelers checks + other deposits against which checks can be written without penalty. M2 M1 + savings deposits + retail money market mutual fund deposits + small certificates of deposit (CD’s) (small = under $100,000) M3 M2 + institutional money market fund deposits + large certificates of deposit (large = over $100,000) + repurchase agreements (short term loan collateralized, typically, by an M2 asset) + Eurodollars (dollar denominated deposits in foreign branches of U.S. banks). M4 M3 + U.S. government savings bonds + short-term treasury securities + commercial paper + bankers acceptance. Less liquid Notes + coins More liquid M0 Financial assets = M4 + other publicly traded financial assets + privately traded financial assets 417 Liquidity Classifications Assets Financial Assets L M4 M3 M2 M1 MB MS Monetary M0 Base 418 1959Q1 1961Q1 1963Q1 1965Q1 1967Q1 1969Q1 1971Q1 1973Q1 1975Q1 1977Q1 1979Q1 1981Q1 1983Q1 1985Q1 1987Q1 1989Q1 1991Q1 1993Q1 1995Q1 1997Q1 1999Q1 2001Q1 2003Q1 2005Q1 2007Q1 Economic Policy Total Reserves Divided by RGDP 0.008 0.007 0.006 0.005 0.004 0.003 0.002 0.001 0 419 1959Q1 1961Q1 1963Q1 1965Q1 1967Q1 1969Q1 1971Q1 1973Q1 1975Q1 1977Q1 1979Q1 1981Q1 1983Q1 1985Q1 1987Q1 1989Q1 1991Q1 1993Q1 1995Q1 1997Q1 1999Q1 2001Q1 2003Q1 2005Q1 2007Q1 2009Q1 Economic Policy Total Reserves Divided by RGDP 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0 420 1959Q1 1961Q2 1963Q3 1965Q4 1968Q1 1970Q2 1972Q3 1974Q4 1977Q1 1979Q2 1981Q3 1983Q4 1986Q1 1988Q2 1990Q3 1992Q4 1995Q1 1997Q2 1999Q3 2001Q4 2004Q1 2006Q2 2008Q3 Economic Policy M2 Divided by Total Reserves 200 180 160 140 120 100 80 60 40 20 0 421 Financial Intermediaries Transfer of money across time is facilitated by financial markets. Financial intermediation ultimate lender lends indirectly to ultimate borrower via a financial intermediary (e.g. an individual puts money in a bank; the bank buys a corporate bond). Pro: Individual is not exposed to default risk. Con: Individual earns a lower rate of return. Financial disintermediation ultimate lender lends directly to ultimate borrower (e.g. an individual buys a corporate bond). Pro: Individual gains a higher rate of return. Con: Individual is exposed to default risk. 422 Financial Intermediaries Major types of financial intermediaries Commercial banks Savings and Loans Credit Unions Money market mutual funds Insurance companies Finance companies 423 Banking Crisis of 2008 MORTGAGE A MORTGAGE B MORTGAGE C MBS #1 Payment $800 Payment $1,000 Payment $1,200 Payment $3,000 Life 30 yrs Life 30 yrs Life 30 yrs Life 30 yrs Risk 5% Risk 1% Risk 4% Risk 3.3% MORTGAGE D MORTGAGE E MORTGAGE F MBS #2 Payment $1,500 Payment $300 Payment $1,200 Payment $3,000 Life 30 yrs Life 30 yrs Life 30 yrs Life 30 yrs Risk 10% Risk 15% Risk 20% Risk 14.5% 424 Fractional Reserves When an individual deposits cash into a bank, the bank creates a deposit account in the person’s name that contains the value of the cash deposited. The deposit account is a liability to the bank. The corresponding asset is the cash the bank received. Cash $100 Joe Smith’s Deposit Account $100 When a bank loans money to an individual, the bank creates a deposit account in the person’s name that contains the value of the loan. The deposit account is a liability to the bank. The corresponding asset is the loan. Loan to Susan Jones $100 Susan Jones’ Deposit Account $100 425 Fractional Reserves When a bank loans money, the bank does not give the borrower cash, but creates a deposit account against which the borrower can write checks. As a result, it is possible for a bank to give loans without having cash to “backup” the loans. Example Suppose Smith deposits $100 in the bank, and then the bank gives a loan to Jones for $300. The bank’s accounts would look like the following. Cash $100 Joe Smith’s Deposit Account $100 Loan to Susan Jones $300 Susan Jones’ Deposit Account $300 Notice that, together, Smith and Jones can write checks for a total of $400 despite the fact that the bank only has $100 cash. We call this fractional reserves because the bank is required to only maintain a fraction of its deposits in the form of cash. 426 Fractional Reserve Accounting Deposits (D) The total value held by the bank’s customers in accounts at the bank. Deposits include checking deposits, savings deposits, loan deposits, certificates of deposit, etc. Total Reserves (TR) The value of cash on hand plus the value of the bank’s deposits at the Federal Reserve. Reserve Requirement Ratio (rrr) The percentage of deposits held by the bank’s customers for which the bank is required to hold reserves. The reserve requirement ratio is set by the Fed. Required Reserves (RR) The minimum amount of reserves the bank is required to have. RR = (D)(rrr) Excess Reserves (ER) An additional amount of reserves the bank has beyond what is required by law. ER = TR – RR 427 Fractional Reserve Accounting Example Using the bank’s accounts below and assuming the reserve requirement ratio is 4%, calculate the bank’s TR, RR, and ER. Cash Deposits at the Fed Loans Treasury Bills $100,000 Customer Deposit Accounts $25,100,000 $1,300,000 $23,000,000 $700,000 Customer Deposits = D = $25,100,000 TR = Vault cash + Deposits at the Fed = $100,000 + $1,300,000 = $1,400,000 RR = (D)(rrr) = ($25,100,000)(0.04) = $1,004,000 ER = TR – RR = $1,400,000 – $1,004,000 = $396,000 Assuming that this is the only bank in the economy and the only person holding cash is Smith (who keeps $10,000 under his mattress), what is the money supply? $25,110,000 428 Fractional Reserve Accounting Example Continuing with the previous question, suppose Smith deposits his $10,000 cash in the bank. What is the impact on the bank’s accounts? Cash Deposits at the Fed Loans Treasury Bills $110,000 Customer Deposit Accounts $25,100,000 $1,300,000 Smith Deposit Account $10,000 $23,000,000 $700,000 Calculate the bank’s TR, RR, and ER, and the money supply. Customer Deposits = D = $25,110,000 TR = Vault cash + Deposits at the Fed = $110,000 + $1,300,000 = $1,410,000 RR = (D)(rrr) = ($25,110,000)(0.04) = $1,004,400 ER = TR – RR = $1,410,000 – $1,004,400 = $405,600 MS = $25,110,000 429 Fractional Reserve Accounting Example Continuing with the previous question, suppose the bank gives Jones a home loan for $275,000. Prior to Jones spending the money on the home, what is the impact on the bank’s accounts? Cash Deposits at the Fed Loans Treasury Bills $110,000 Customer Deposit Accounts $25,100,000 $1,300,000 Smith Deposit Account $10,000 $23,275,000 Jones Deposit Account $275,000 $700,000 Calculate the bank’s TR, RR, and ER, and the money supply. Customer Deposits = D = $25,385,000 TR = Vault cash + Deposits at the Fed = $110,000 + $1,300,000 = $1,410,000 RR = (D)(rrr) = ($25,385,000)(0.04) = $1,015,400 ER = TR – RR = $1,410,000 – $1,015,400 = $394,600 MS = $25,385,000 430 Fractional Reserve Accounting Example Continuing with the previous question, what is the impact on the bank’s accounts when ABC Construction deposits Jones’ check for $275,000 for building her house? Cash Deposits at the Fed Loans Treasury Bills $110,000 Customer Deposit Accounts $25,100,000 $1,300,000 Smith Deposit Account $10,000 $23,275,000 Jones Deposit Account $0 $700,000 ABC Const. Deposit Account $275,000 Calculate the bank’s TR, RR, and ER, and the money supply. Customer Deposits = D = $25,385,000 TR = Vault cash + Deposits at the Fed = $110,000 + $1,300,000 = $1,410,000 RR = (D)(rrr) = ($25,385,000)(0.04) = $1,015,400 ER = TR – RR = $1,410,000 – $1,015,400 = $394,600 MS = $25,385,000 431 Money Creation Notice that, when Smith deposited the $10,000 cash in the bank, the money supply did not change. All that happened was that the components of the money supply shifted $10,000 cash in Smith’s hands became Smith’s $10,000 checking deposits. Remember: The cash is the bank’s hands does not count toward the money supply. Notice that, when Jones obtained the loan for the house, the money supply increased. When the bank gave Jones a loan, the bank created a loan deposit account for Jones. This deposit account counts toward the money supply just like a checking account because Jones can write checks on the account to pay for her house. Yes, Jones owes the bank $275,000, but this does not change the fact that Jones now can spend up to $275,000 on a house the increased ability to spend is the cause of the increase in the money supply. 432 Money Creation Banks create money when they create loans. Because the bank is required to maintain some minimum quantity of reserves, there is a limit to how much money a bank can create. Start with an economy that has a single bank with $100 in the vault. There is no other cash and the reserve requirement ratio is 10%. Cash $100 Smith Deposit Account $100 The bank’s reserve calculations and the money supply are Customer Deposits = D = $100 TR = Vault cash + Deposits at the Fed = $100 RR = (D)(rrr) = ($100)(0.10) = $10 ER = TR – RR = $100 – $10 = $90 MS = $100 433 Money Creation Suppose the bank makes a loan for $100 to Jones. The bank’s accounts are Cash $100 Smith Deposit Account $100 Loan to Jones $100 Jones Deposit Account $100 The bank’s reserve calculations and the money supply are Customer Deposits = D = $200 TR = Vault cash + Deposits at the Fed = $100 RR = (D)(rrr) = ($200)(0.10) = $20 ER = TR – RR = $100 – $20 = $80 MS = $200 434 Money Creation Suppose the bank makes a loan for $100 to Smith. The bank’s accounts are Cash $100 Smith Deposit Account $200 Loan to Jones $100 Jones Deposit Account $100 Loan to Smith $100 The bank’s reserve calculations and the money supply are Customer Deposits = D = $300 TR = Vault cash + Deposits at the Fed = $100 RR = (D)(rrr) = ($300)(0.10) = $30 ER = TR – RR = $100 – $20 = $70 MS = $300 435 Money Creation The bank can continue making loans until its excess reserves fall to zero. When this happens, the bank looks like this Cash $100 Smith Deposit Account $200 Loan to Jones $100 Jones Deposit Account $100 Loan to Smith $100 Other Deposit Accounts $700 Loans to Others $700 The bank’s reserve calculations and the money supply are Customer Deposits = D = $1,000 TR = Vault cash + Deposits at the Fed = $100 RR = (D)(rrr) = ($1,000)(0.10) = $100 ER = TR – RR = $100 – $100 = $0 MS = $1,000 436 Money Creation Notice that the maximum size of the money supply is a function of two things: 1. 2. Cash Bank deposits at the Fed Together, we call these two things the monetary base (or “high powered money”). The money supply reaches its maximum possible size when: 1. People hold no cash (i.e. all of the economy’s cash is deposited in banks). 2. Banks maintain zero excess reserves. Maximum size of the money supply Monetary Base rrr Money multiplier = 1 / rrr 437 Check Clearing Process Suppose Jones’ account is at Bank A while Smith’s account is at Bank B. The two banks’ accounts are as follows: Bank A Cash $100 Jones Deposit Account $100 Deposits at Bank B $500 Bank B Deposit Account $800 $1,000 Other Deposit Accounts $700 Deposits at Fed Bank B Cash $750 Smith Deposit Account $300 Deposits at Bank A $800 Bank B Deposit Account $500 Deposits at Fed $700 Other Deposit Accounts $1,450 438 Check Clearing Process Smith writes Jones a check for $175 drawn on his account at Bank B. Jones deposits the check in her account at Bank A. Because the check is drawn on Bank B, Bank A transfers $175 from Bank B’s account to Jones’ account. Bank A Cash $100 Jones Deposit Account $100+$175=$275 Deposits at Bank B $500 Bank B Deposit Account $800–$175=$625 Deposits at Fed $1,000 Other Deposit Accounts $700 Bank B registers that its deposits at Bank A have declined by $175 and reduces Smith’s account by the same amount. Bank B Cash Deposits at Bank A Deposits at Fed $750 Smith Deposit Account $300–$175=$125 $800–$175=$625 Bank B Deposit Account $500 $700 Other Deposit Accounts $1,450 Neither bank’s equity changed because the transaction did not involve the banks’ money. 439 Check Clearing Process If two banks do not maintain mutual deposits, then the Fed aids the check clearing process. Suppose the two banks begin as follows: Bank A Cash $100 Jones Deposit Account $100 Deposits at Fed $700 Other Deposit Accounts $700 Bank B Cash Deposits at Fed $750 Smith Deposit Account $1,000 Other Deposit Accounts $300 $1,450 Smith writes Jones a check for $175 drawn on his account at Bank B. Jones deposits the check in her account at Bank A. 440 Check Clearing Process Bank A Cash Deposits at Fed $100 Jones Deposit Account $100+$175=$275 $700+$175=$875 Other Deposit Accounts $700 Fed Treasury Bills $2,550 Cash outstanding $850 Bank A Deposits $700+$175=$875 Bank B Deposits $1,000–$175=$825 Bank B Cash Deposits at Fed $750 Smith Deposit Account $300–$175=$125 $1,000–$175=$825 Other Deposit Accounts $1,450 441 Monetary Policy The Fed has three tools it uses to conduct monetary policy. 1. 2. 3. Reserve requirement ratio Discount rate Open market operations Reserve requirement ratio By decreasing (increasing) the reserve requirement ratio, banks are better (less) able to create money. In practice, the Fed alters the reserve requirement ratio infrequently. Frequent changes will cause banks to hold a lot of excess reserves (to guard against increases in the rrr). As a result, changes in the rrr will end up having little impact. Discount rate In practice, the Fed discourages banks from borrowing except when most necessary (e.g. during the Christmas season when there are significant cash withdrawals, reducing bank reserves). Over borrowing is an indication of a bank extended more loans than (on average) it has reserves to back. 442 Monetary Policy The Fed has three tools it uses to conduct monetary policy. 1. 2. 3. Reserve requirement ratio Discount rate Open market operations Open market operations The most widely used tool of the Fed is open market operations. With OMO, the Fed buys or sells securities (usually government bonds) on the open market. When the Fed purchases bonds from banks, it increases the banks’ deposits at the Fed, thereby increasing the banks’ reserves. When the Fed sells bonds to banks, it decreases the banks’ deposits at the Fed, thereby decreasing bank reserves. 443 Monetary Policy By altering the money supply, the Fed can influence two economic measures: inflation and interest rates. Quantity Theory of Money: How money supply changes affect prices The quantity theory of money holds that the money supply is related to prices by the following formula. Mv PY M = money supply v = velocity of money (number of times a dollar changes hands over a year) P = IPD Y = full-employment RGDP If velocity is constant (which it tends to be, at least over the short run), and the economy is at full employment, an increase in the money supply causes inflation only. 444 Money Demand Money demand is not the demand for “money” – it is the demand for holding one’s wealth in the form of money rather than in an illiquid form. Cost to holding wealth in form of money money yields a low (sometimes negative, often zero) return. Components of money demand 1. Transactions demand desire to hold wealth in liquid form for purpose of conducting transactions. 2. Speculative demand desire to hold wealth in liquid form for purpose of taking advantage of investment opportunities. 3. Precautionary demand desire to hold wealth in liquid form for purpose of protecting against unforeseen events. 445 Money Demand Holding wealth in the form of money makes it easier to conduct transactions, but yields a low return. MD is downward sloping because, as interest rates rise, the opportunity cost of holding wealth in the form of money rises. R M/P “real money” (i.e. purchasing power) R nominal interest rate MD M/P 446 Money Supply Because the money supply is determined by the Fed, it is constant with respect to interest rates. R MS Equilibrium interest rate MD M/P 447 Money Supply By increasing the money supply (via one of the three policy tools), the Fed causes interest rates to decline. R MS MS’ 5.0% 4.9% MD M/P 448 Money Supply In practice, the Fed uses the Federal Funds Rate (the interest rates that banks charge each other for loans) as a target for monetary policy. The Fed will select a level for the Federal Funds Rate (e.g. 4.9%) and then continually adjust the money supply so as to maintain the Federal Funds Rate at the target level. This is why the media refer to the Fed “lowering the interest rate” when, in fact, the interest rate is determined by market forces. Technically, the Fed increases the money supply. MS MS’ R 5.0% 4.9% MD M/P 449 Monetary and Fiscal Policies When the interest rate falls, it becomes less expensive to borrow. As a result, investment rises. As investment rises, AD rises. As AD rises, RGDP and prices rise. Expansionary Monetary Policy MS R I AD RGDP P Contractionary Monetary Policy MS R I AD RGDP P Expansionary Fiscal Policy G AD RGDP P T C AD RGDP P Contractionary Fiscal Policy G AD RGDP P T C AD RGDP P 450 Monetary Policy R I MS’ Price Index MS R MS LRAS SRAS 5.0% I AD MS R 4.9% AD’ MD AD M/P AD RGDP RGDP 451 Monetary Policy Notice that expansionary policy (either fiscal or monetary) has the desired effect only if the economy is operating below full employment. Economy starts at Point A. Increase in MS causes interest rates to fall, investment to rise, and AD to rise. Economy moves to Point B. Economy is now in over employment. Increases in resource prices decrease SRAS. Economy moves to Point C. MS’ Price Index MS R MS LRAS R I AD C SRAS’ SRAS 5.0% B MS R 4.9% AD’ A Over employment MD M/P causes SRAS AD RGDP 452 Absolute vs. Relative Advantage A nation is said to have an absolute advantage in the production of a product if it can produce that product at a lower cost than another nation. Cost to produce 1 car (US$, PPP) Cost to produce 1 computer (US$, PPP) US $10,000 $2,000 Japan $12,000 $4,000 In this example, we say that the US has an absolute advantage in the production of both cars and computers. One might argue that these two countries will not trade because the US can produce both products more cheaply than Japan. This argument is erroneous because it focuses on the dollar (or “nominal”) cost of production rather than the opportunity cost (or “real cost”) of production. 453 Absolute vs. Relative Advantage Cost to produce 1 car (US$, PPP) Cost to produce 1 computer (US$, PPP) US $10,000 $2,000 Japan $12,000 $4,000 Example In the US, to produce one additional car requires moving $10,000 worth of resources out of the production of computers and into the production of cars. Because each computer requires $2,000 worth of resources, the cost of producing one additional car is a loss of 5 computers. In Japan, to produce one additional car requires moving $12,000 worth of resources out of the production of computers and into the production of cars. Because each computer requires $4,000 worth of resources, the cost of producing one additional car is a loss of 3 computers. We say that Japan has a relative advantage in the production of cars because the opportunity cost of producing a car in Japan is less than the opportunity cost of producing a car in the US. 454 Absolute vs. Relative Advantage Cost to produce 1 car (US$, PPP) Cost to produce 1 computer (US$, PPP) US $10,000 $2,000 Japan $12,000 $4,000 Example Similarly, in the US, to produce one additional computer requires moving $2,000 worth of resources out of the production of cars and into the production of computers. Because each car requires $10,000 worth of resources, the cost of producing one additional computer is a loss of 0.20 cars. In Japan, to produce one additional computer requires moving $4,000 worth of resources out of the production of cars and into the production of computers. Because each car requires $12,000 worth of resources, the cost of producing one additional computer is a loss of 0.33 cars. We say that the US has a relative advantage in the production of computers because the opportunity cost of producing a computer in the US is less than the opportunity cost of producing a computer in Japan. 455 Absolute vs. Relative Advantage Example Suppose that Mexican and American labor is equally productive. The chart below shows productivity figures for the two countries’ workers. Pairs of sneakers 1 worker can produce per hour Shirts 1 worker can produce per hour US 10 20 Mexico 20 10 Suppose also that Mexican labor is cheaper than American labor. The chart below shows wages in the two countries. US Mexico Labor Cost per Hour (US$, PPP) $9.00 $2.00 Intuition would suggest that Mexico will produce both sneakers and shirts and that the US will produce nothing. This argument is incorrect because it is based on absolute, not relative advantage. 456 Absolute vs. Relative Advantage Pairs of sneakers 1 worker can produce per hour Shirts 1 worker can produce per hour US Mexico US 10 20 Mexico 20 10 Labor Cost per Hour (US$, PPP) $9.00 $2.00 Combining these two charts, we find the cost to produce shirts and sneakers in each country. Cost to produce 1 pair of sneakers (US$, PPP) Cost to produce 1 shirt (US$, PPP) US $0.90 $0.45 Mexico $0.10 $0.20 In Mexico, the opportunity cost of producing 1 more shirt is 2 pairs of sneakers. In the US, the opportunity cost of producing 1 more shirt is ½ of a pair of sneakers. Mexico has a relative advantage in the production of sneakers and the US has a relative advantage in the production of shirts. 457 Absolute vs. Relative Advantage Cost to produce 1 pair of sneakers (US$, PPP) Cost to produce 1 shirt (US$, PPP) US $0.90 $0.45 Mexico $0.10 $0.20 Relative advantage suggests that Mexico will produce only sneakers and the US will produce only shirts – despite the fact that Mexican labor is significantly cheaper than US labor. Suppose Mexico and the US can exchange shirts for sneakers at a rate of 1-for-1. Mexico produces only sneakers but wants more shirts. There are two alternatives: 1. Mexico diverts resources out of the production of sneakers and into the production of shirts. Result: Mexico gains 1 shirt at a loss of 2 sneakers. 2. Mexico trades sneakers to the US in exchange for shirts. Result: Mexico gains 1 shirt at a loss of 1 sneaker. It is better for Mexico to trade its shirts to the US for sneakers rather than to produce sneakers itself. 458 Absolute vs. Relative Advantage Cost to produce 1 pair of sneakers (US$, PPP) Cost to produce 1 shirt (US$, PPP) US $0.90 $0.45 Mexico $0.10 $0.20 Suppose Mexico and the US can exchange shirts for sneakers at a rate of 1-for-1. The US produces only shirts but wants more sneakers. There are two alternatives: 1. The US diverts resources out of the production of shirts and into the production of sneakers. Result: US gains 1 sneaker at a loss of 2 shirts. 2. The US trades shirts to Mexico in exchange for sneakers. Result: US gains 1 sneaker at a loss of 1 shirt. It is better for the US to trade its sneakers to Mexico for shirts rather than to produce shirts itself. 459 Absolute vs. Relative Advantage Conclusion: Trade does not occur because of the cost of domestic labor vs. foreign labor. Trade does not occur because of the productivity of domestic labor vs. foreign labor. Trade occurs because of the cost and productivity of domestic labor employed in the production of one good vs. the cost and productivity of domestic labor employed in the production of another good. Example Because the US has a relative advantage in the production of agricultural products and a relative disadvantage in the production of automobiles, you support American car manufacturers when you buy American cars. But, you support American farmers when you buy foreign cars. 460 Trade Trade is the combination of specialization and exchange. Countries specialize in the production of those products in which they have competitive advantages, and then exchange some of those products for products in which they do not have competitive advantages. In practice, countries do not perfectly specialize because of the production phenomena of specialization and congestion. The more a country focuses on the production of one product, the more congestion occurs in the firms producing that product and the more opportunities for specialization arise in firms producing other products. This results in countries partially specializing. Warning: Unfortunately, the word “specialization” occurs here with two different meanings. In reference to a country, “specialization” means “to focus resources on the production of a specific product.” In reference to a firm, “specialization” means “an increase in factors employed by the firm causes a proportionally greater increase in units produced.” 461 Trade Misconceptions about trade 1. Trade exploits foreign workers. Reality: US firms that employ foreign labor overseas do pay foreigners less than what American workers earn, but more than the foreigners would have earned from native firms. Example: In 2000, Nike paid its Indonesian workers $720 per year. This is far less than the average US worker earns ($32,000 per year), but far more than the average Indonesian worker earns ($240 per year). Example: Mexican firms that produce exportable products pay their workers 10% to 70% more than Mexican firms that do not produce exportable products. 462 Trade Misconceptions about trade 2. Trade eliminates US jobs. Reality: US jobs that compete with foreign-made imports are reduced. However, US jobs that provide foreign-purchased exports are gained. Also, US jobs that use foreign-made imports are gained. Example: Inflow of cheaper foreign steel hurts US steelworkers, but helps US automobile and US tire workers. Countries that gain income from selling steel to the US are better able to afford American exports. This helps US farmers. 3. Trade leads to a reduction in competition and a consolidation of power in the hands of a few large multi-national firms. Reality: Trade increases the number of consumers and producers and so increases competition. Increased competition decentralizes economic power. Example: There are currently 40,000 multi-national firms. This number is far too large to allow for collusion. Also, the number of multi-national firms is growing faster than the world economy. This means that, on average, the economic power of individual multi-national firms is declining. 463 Trade Using Economy.com’s database, download quarterly data on exports, imports, and GDP (in current dollars), and the unemployment rate over the period 1980.1 through the present. Calculate “relative trade” as (Exports + Imports) / GDP. Create a graph of unemployment compared to relative trade. 12 Unemployment Rate (%) 10 8 6 4 2 0 0.15 0.17 0.19 0.21 0.23 0.25 0.27 0.29 Relative Trade 464 Exchange Rates Think of a currency as a product. The exchange rate is the price of that product. The demand for a currency is determined by foreigners who want to buy products and investments denominated in that currency. The demand for pounds is determined by foreigners who want to purchase pounds either (1) as an investment, (2) for the purpose of purchasing British products, or (3) for the purpose of purchasing British investments. E The exchange rate (E = $/£) is the price (in US dollars) of a pound. When E rises, it becomes more expensive for Americans to buy pounds, so the quantity of pounds demanded (by Americans) falls. D £ When E falls, it becomes cheaper for Americans to buy pounds, so the quantity of pounds demanded (by Americans) rises. 465 Exchange Rates The supply of pounds is determined by British who want to sell pounds (for foreign currency) either (1) as an investment, (2) for the purpose of purchasing foreign products, or (3) for the purpose of purchasing foreign financial instruments. E The exchange rate (E = $/£) is the price (in US dollars) of a pound. S When E rises, it becomes more profitable for the British to sell pounds (to the Americans), so the quantity of pounds supplied (by the British) rises. When E falls, it becomes less profitable for the British to sell pounds (to the Americans), so the quantity of pounds supplied (by the British) falls. £ 466 Exchange Rates The equilibrium exchange rate is the price of pounds that causes quantity demanded of pounds to equal quantity supplied of pounds. E S Equilibrium exchange rate ($/ £) D £ Equilibrium quantity of pounds bought/sold daily 467 Exchange Rates A change in the exchange rate implies a change in the relative values of the two currencies. Exchange rates are typically expressed as Domestic/Foreign. However, because the definition of “domestic” and “foreign” changes depending on one’s perspective, you should always verify which currency is in the numerator and which is in the denominator. Suppose the exchange rate starts at $2.00/£. This is the same as £0.50/$. An increase in the exchange rate to $2.10/£ implies that the pound has become more valuable relative to the dollar. Because $2.10/£ is the same as £0.48/$, the dollar has become less valuable relative to the pound. If the exchange rate is expressed as Domestic/Foreign, then an increase in the exchange rate means that the domestic currency has become less valuable and a decrease in the exchange rate means that the domestic currency has become more valuable. 468 Exchange Rates Notice that, like in any market, the exchange rate (i.e. the price) changes when there is a change in either the demand or supply of pounds. E 1. The exchange rate starts at $1.82 per pound. S 2. An increase in real interest rates in the US causes US financial instruments to be more attractive to British investors. This is a positive shock to the supply of pounds. S’ $1.82 $1.75 3. Supply of pounds increases causing a decline in the exchange rate. D £ A decline in the exchange rate means that dollars have become more valuable. 469 Exchange Rates Notice that, like in any market, the exchange rate (i.e. the price) changes when there is a change in either the demand or supply of pounds. E 1. The exchange rate starts at $1.82 per pound. S 2. Americans demand more British goods. This is a positive shock to the demand for pounds. $1.87 $1.82 D’ D £ 3. Demand for pounds increases causing an increase in the exchange rate. An increase in the exchange rate means that dollars have become less valuable. 470 Exchange Rate Regimes An exchange rate regime is a method for determining the exchange rate. Exchange rates are usually determined by one of three methods. 1. Floating rate Exchange rate is determined by forces of demand and supply. This is also called the “free market rate.” 2. Fixed rate Exchange rate is set by a government. Example: The exchange rate of the Bahamian dollar with the US dollar is fixed by the Bahamian government at 1. 3. Dirty float A government will allow the exchange rate to be determined by market forces provided that the rate stays within some bounds set by the government. If the rate moves outside those bounds, the government will intervene to hold the rate at the bound until such time as market forces act to move the rate back within the bounds. This is also called a “managed float.” Example: The Hong Kong monetary authority will not allow the exchange rate to fall below $HK7.8/$US 471 Exchange Rate Regimes A fixed rate or dirty float regime is like a price ceiling and price floor together. The major difference is that, whereas price controls can be enforced by law, a government cannot legally enforce fixed rates because many (if not most) of the exchange rate transactions involving its currency occur outside the country’s borders. To maintain a fixed rate or dirty float, a government must intervene in the market place by buying up its currency to lower the exchange rate and selling its currency to raise the exchange rate. Example The Russian government wants to hold the exchange rate at $0.04/RUB. Because of a decline in the demand for rubles, the exchange rate starts to fall. To counteract the decline in the exchange rate, the Russian government begins buying rubles on the market. The Russian government’s purchases constitute an increase in demand. The government continues to purchase until the market rate rises back to $0.04/RUB. 472 Exchange Rate Regimes Question What does the Russian government use to buy up rubles on the open market? The government must use its stock of foreign currencies (e.g. dollars, pounds, etc.) that it has acquired over time. Problem The Russian government can’t print foreign currency. Once it runs out of foreign currency, it is no longer able to buy up rubles and so can no longer support a falling exchange rate. This happened in August 1998 when Russia was forced to devalue the ruble because Russia had run out of foreign currency with which to buy up rubles. Result: In the course of 24 hours, the ruble fell by an amount that it otherwise would have fallen over the course of a year or more. 473 Exchange Rate Regimes Ruble-Dollar Exchange Rate (1/1/98 - 12/31/98) 0.18 0.16 0.14 $/RUB 0.12 0.1 0.08 0.06 0.04 0.02 0 474 Exchange Rate Regimes Ruble-Dollar Exchange Rate (1/1/98 - 12/31/98) 25 20 RUB/$ 15 10 5 0 475 Exchange Rate Regimes Dollar-Euro Exchange Rate (1/1/01 - 6/9/05) 1.6 2001 2002 2003 2004 1.4 1.2 $/ECU 1 0.8 0.6 0.4 0.2 0 476 Exchange Rate Regimes Terminology In a floating exchange rate regime, when a currency becomes more valuable, it is said to appreciate. When a currency becomes less valuable it is said to depreciate. In a fixed exchange rate regime, when a currency is made more valuable, it is said to be revalued. When a currency is made less valuable, it is said to be devalued. 477 Impact of Exchange Rate Fluctuations Example Suppose exchange rate is floating and is currently RUB 4 / $. Russia exports caviar at a price of RUB 2 each. The US exports Coke at a price of $0.50 each. Russian Bank RUB 4 $1 Russian Importer 2 Cokes $1 US Exporter US Bank $1 RUB 4 Flows of currency Russia: +RUB 4 –$1 US: –RUB 4 +$1 US Importer 2 caviar RUB 4 Russian Exporter Flows after banks exchange surplus currency US Bank RUB 4 $1 Russian Bank Russia: +RUB 0 –$0 US: –RUB 0 +$0 478 Impact of Exchange Rate Fluctuations Now, suppose Russia fixes the exchange rate at RUB 2 / $. Russia exports caviar at a price of RUB 2 each. The US exports Coke at a price of $0.50 each. Russian Bank RUB 4 $2 Russian Importer 4 Cokes $2 US Exporter US Bank $1 RUB 2 Flows of currency Russia: +RUB 2 –$2 US: –RUB 2 +$2 US Importer 1 caviar RUB 2 Russian Exporter Flows after banks exchange surplus currency US Bank RUB 2 $1 Russian Bank Russia: +RUB 0 –$1 US: –RUB 0 +$1 479 Impact of Exchange Rate Fluctuations Impact of fixing the exchange rate at an artificially low level. Some People are Better Off 1. The Russian importer buys more Coke at the same price. 2. The US exporter sells more Coke at the same price. Some People are Worse Off 1. The Russian exporter sells less caviar at the same price. 2. The US importer buys less caviar at the same price. Russia is Bleeding US Dollars When the Russian bank attempts to buy back the dollars that left the country, it finds that it does not have enough rubles to buy back all of the dollars. The government bought the remainder in an effort to maintain the artificially low exchange rate. 480 Impact of Exchange Rate Fluctuations The alteration in the exchange rate impacts not only exporters and importers, but also Russian investors investing in US securities and US investors investing in Russian securities. Suppose the exchange rate is $0.50/RUB. US Bank $10 RUB 20 US Investor Bond @ FV RUB 30 US Bank RUB 20 Russian Firm RUB 30 Time $15 US Investor RUB 30 Bond Russian Firm The US investor made a 50% return on the investment, but incurred (in addition to default risk) exchange rate risk. 481 Impact of Exchange Rate Fluctuations Suppose the exchange rate is $0.50/RUB initially. But, after the US investor purchases the bond, Russia devalues its currency to $0.25/RUB. US Bank $10 RUB 20 US Investor Bond @ FV RUB 30 US Bank RUB 20 Russian Firm RUB 30 Time $7.50 US Investor RUB 30 Bond Russian Firm The US investor incurred a 25% loss on the investment due to the alteration in the exchange rate. 482 Impact of Exchange Rate Fluctuations Impact of depreciation or devaluing of a currency. Some People are Better Off 1. Russian investors who had invested in US firms prior to the exchange rate change receive back currency (dollars) that is worth more than the currency they invested. 2. US firms that had borrowed from Russian investors prior to the exchange rate change pay back currency (rubles) that is worth less than the currency they borrowed. Some People are Worse Off 1. US investors who had invested in Russian firms prior to the exchange rate change receive back currency (rubles) that is worth less than the currency they invested. 2. Russian firms who had borrowed from US investors prior to the exchange rate change pay back currency (dollars) that is worth more than the currency they borrowed. 483 Hedging Exchange Rate Risk Exchange rate risk can be hedged via currency options and futures. A futures contract is a bilateral agreement to buy/sell a quantity of foreign currency at a specified future date and at a specified price. An options contract is a unilateral agreement in which the holder of the option has the right (but not the obligation) to buy or sell a quantity of foreign currency at any time up to a specified future date and at a specified price (the “strike price”). A call option gives the contract holder the right to buy the currency. A put option gives the contract holder the right to sell the currency. The holder of the contract pays the issuer of the contract a contract premium which the issuer keeps regardless of whether or not the holder executes the contract. 484 Hedging Exchange Rate Risk Suppose the exchange rate is $0.50/RUB initially. But, after the US investor purchases the bond, Russia devalues its currency to $0.25/RUB. US Bank $10 RUB 20 The US investor makes the expected 50% return less the premium paid for the futures contract. premium US Investor Bond @ FV RUB 30 RUB 20 Futures Market Contract to sell RUB 30 for $15 Russian Firm RUB 30 US Investor Futures Market $15 RUB 30 Bond Russian Firm 485