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CHAPTER 6 ELASTICITY ANALYSIS 1st Semester, S.Y 2015 – 2016 Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS The Concept of Elasticity Elasticity is a measure of the degree of responsiveness or sensitivity of one variable to changes in another variable. The greater the elasticity, the greater the responsiveness. Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Importance of Elasticity Relationship between changes in price and total revenue Importance in determining what goods to tax (tax revenue) Importance in analysing time lags in production. Influences the behaviour of a firm. Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Elasticity • The responsiveness of one variable to changes in another. • When price rises, what happens to demand? • Demand falls. • BUT! • How much does demand fall? Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Elasticity • If price decreases by 10% - what happens to demand? • We know demand will increase • By more than 10%? • By less than 10%? • Elasticity measures the extent to which demand will change Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Four Types of Elasticity Price Elasticity of Demand Income Elasticity of Demand Cross-price Elasticity Price Elasticity of supply Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Four Types of Elasticity Price Elasticity of Demand The responsiveness of demand to changes in price Income Elasticity of Demand The responsiveness of demand to changes in incomes Cross-price Elasticity The responsiveness of demand of one good to changes in the price of a related good – either a substitute or a complement Price Elasticity of Supply The responsiveness of demand to changes in price Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Price Elasticity of Demand Price Elasticity of Demand the responsiveness of demand to changes in price the percentage change in quantity demanded divided by the percentage change in price. % change in quantity demanded is greater than % change in price – elastic % change in quantity demanded is less than % change in price - inelastic Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Price Elasticity of Demand The Formula: 𝐸𝑝 = % Change in Quantity Demanded ___________________________ % Change in Price Where 𝑄1 − Original Quantity Demanded 𝑄2 − New Quantity Demanded 𝑃1 − Original Price 𝑃2 − − New Price Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Interpreting the Price Elasticity of Demand Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Elastic Demand Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Inelastic Demand Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Unit Elastic Demand Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Perfectly Elastic Demand Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Perfectly Inelastic Demand Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Price Elasticity of Demand - Summary Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Selected Goods – Price Elasticities of Demand Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Let’s Check Your Understanding 1. When the price of gasoline per liter rises from P40 to P50, a taxi driver reduces it demand from 90 liters to 85 liters a week. Based on the data, compute for the price elasticity of demand. Interpret the computed elasticity value. 2. The price of Baguio strawberries falls from P150 to P100 per carton and the quantity demanded goes from 1,000 to 2,000 cartons. Compute for the price elasticity of demand. Interpret the computed elasticity value. Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Let’s Check Your Understanding Identify the following goods as either elastic or inelastic. 1. Pandesal 2. Mango 3. Grapes 4. Detergent 5. Tide Detergent 6. Coffee 7. LPG 8. Digital camera 9. Condominiums 10. Household appliances Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Total Revenue and the Price Elasticity of Demand Total revenue (TR) defined as the total value of sales of a good or service is the total amount the seller receives from the sale of a product in a particular time period; it is calculated by multiplying the product price (P) by the quantity sold (Q). In equation form: 𝑇𝑅 = 𝑃𝑟𝑖𝑐𝑒 𝑥 𝑄𝑢𝑎𝑛𝑡𝑖𝑡𝑦 Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Graphical Illustration – Total Revenue Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Total Revenue Test Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Total Revenue Test Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Price Change Impact on Total Revenue Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Price Elasticity and the Total-Revenue Curve Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS The Price Elasticity of Demand Changes Along the Demand Curve Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Income Elasticity of Demand Income elasticity of demand measures the degree to which consumers respond to a change in their incomes by buying more or less of a particular good. The coefficient of income elasticity of demand Eiis determined with the formula % 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑄𝑢𝑎𝑛𝑡𝑖𝑡𝑦 𝐷𝑒𝑚𝑎𝑛𝑑𝑒𝑑 𝐸𝑖 = % 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝐼𝑛𝑐𝑜𝑚𝑒 Normal Goods For most goods, the income-elasticity coefficient Eiis positive, meaning that more of them are demanded as incomes rise. Such goods are called normal goods. But the value of Eivaries greatly among normal goods. Inferior Goods A negative income-elasticity coefficient designates an inferior good. Retread tires, cabbage, long-distance bus tickets, used clothing, and muscatel wine are likely candidates. Consumers decrease their purchases of inferior goods as incomes rise. Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Interpreting the Income Elasticity of Demand Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Interpreting the Income Elasticity of Demand For example: 𝐸𝑖 = −0.6 Good is an inferior good but inelastic – a rise in income of 3% would lead to demand falling by 1.8% 𝐸𝑖 = 0.4 Good is a normal good but inelastic – a rise in incomes of 3% would lead to demand rising by 1.2% 𝐸𝑖 = 1.6 . Good is a normal good and elastic – a rise in incomes of 3% would lead to demand rising by 4.8% 𝐸𝑖 = −2.1 , Good is an inferior good and elastic – a rise in incomes of 3% would lead to a fall in demand of 6.3% Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Let’s Check Your Understanding! Given the demand data for carinderia meals subject to the change in income, calculate the income elasticity for carinderia meals. Is demand elastic, inelastic or unitary? Is the good normal or inferior? Income (per month) Quantity Demanded (No. of Meals) P8,000 6 P12,000 5 Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Cross Price Elasticity of Demand Cross Elasticity Of Demand The responsiveness of demand of one good to changes in the price of a related good – either a substitute or a complement/ Measures how sensitive consumer purchases of one product (say, X) are to a change in the price of some other product (say, Y). It is expressed by the formula. Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Cross-Price Elasticity of Demand Goods which are complements: Cross Elasticity will have negative sign (inverse relationship between the two) Goods which are substitutes: Cross Elasticity will have a positive sign (positive relationship between the two) Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Interpreting the Cross-Price Elasticity of Demand Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Price Elasticity of Supply Price Elasticity of Supply The responsiveness of supply to changes in price. If 𝐸𝑠 is inelastic - it will be difficult for suppliers to react swiftly to changes in price. If 𝐸𝑠 is elastic – supply can react quickly to changes in price. The formula is expressed by % 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑄𝑢𝑎𝑛𝑡𝑖𝑡𝑦 𝑆𝑢𝑝𝑝𝑙𝑖𝑒𝑑 𝐸𝑠 = % 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑃𝑟𝑖𝑐𝑒 Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Elastic Supply Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Inelastic Supply Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Unit Elastic Supply Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Perfectly Elastic Supply Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS Perfectly Inelastic Supply Pangasinan State University Social Science Department – PSU Lingayen BACHELOR OF ARTS IN ECONOMICS Econ 111 – ECONOMIC ANALYSIS