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Money, Interest Rates, & Exchange Rates • Determination of exchange rates: 1. How interest rates are determined; 2. How expectations of future exchange rates are formed. money supply 1. Interest rate 2. Expectation money demand Exchange rates Money? • Distinguish money from other assets 1. As a Medium of Exchange 2. As a Unit of Account 3. As a Store of Value 马克思的货币概念 Money Supply = the monetary aggregate the Federal Reserve calls M1. =the total amount of currency and checking deposits held by households and firms. Demand for money by individuals Amount of money an individual desire to hold 1. Expected return (money and other assets) 2. Riskiness of the asset’s expected return 3. The asset’s liquidity Aggregate Money Demand → →Md 1. The interest rate → → R 2. The price level → → P 3. Real national income → → Y M d P L( R, Y ) M d P L( R, Y ) L(R, Y) = aggregate real money demand R Increase in real income Y, cause the whole demand schedule to shift upward. L(R,Y) For a given real income level, Y, real money demand rises as the interest rate falls. Money Supply M M S d deviding both sides by P M / P L( R, Y ) s Equilibrium in the money market: The money supply schedule is vertical at Ms/P because Ms is set by the central bank while P is taken as given. R Real money supply Ms ( Q) P Aggregate real money demand L(R,Y) If there is an excess supply of money, then R↓ If there is an excess demand of money, then R↑ R Real money supply Ms ( Q) P Aggregate real money demand ② ① L(R,Y) An increase in real output raises the interest rate, and vice versa, given the price level and money supply. Money supply & exchange rate in the short run • The previous assumption: price level (real output) given: • In the short run: • money supply↑→interest rate & exchange rate • In the long run: • money supply ↑→price level & exchange rate and other macroeconomic variables Linking money, interest rate, & exchange rate • P375 • Simultaneous equilibrium in money market and the foreign exchange market. ③本币贬值↑ exchange rate Foreign exchange market return on domestic deposit ②影响本国利率 domestic interest Money market expected return on foreign deposit Rates of return L (R, Y) money supply ①本币货币供应增加 money holdings 假定:两国价格 水平与国民收入 不变。 Conclusions • An increase in a country’s money supply causes its currency to depreciate in the foreign exchange market • A reduction in a country’s money supply causes its currency to appreciate in the foreign exchange market. Money, price level, & exchange rate in the long run • Monetary factors →price level in the long run. • An economy’s long-run equilibrium is reached if prices were perfectly flexible and always adjusted immediately to preserve full employment. • Tool: the theory of aggregate money demand. exchange rate Foreign exchange market return on domestic deposit ①外国货币 供给增加 ②本币贬值 domestic interest Money market Rates of return L (R, Y) money supply ③本国货币市场 维持原状。 money holdings Money & Money Prices • If the price level & output are fixed in the short run, money market equilibrium: s M L ( R, Y ) P Money supply = Money demand s M P L ( R, Y ) ①P, Y, R can vary in the long run. ②Price level depends on … s M P L ( R, Y ) Proportional Change Remain Unchanged • All else equal, an increase in a country’s money supply causes a proportional increase in its price level. The long-run effects of money supply changes • A change in the supply of money has no effect on the long-run values of the interest rate or real output. e.g. currency reform • A permanent increase in the money supply causes a proportional increase in price level’s long-run value. If the economy is initially at full employment, a permanent increase in the money supply eventually will be followed by a proportional increase in the price level. Empirical evidence: Relation between Ms and P: • No proportional relationship over long period; • A clear-cut positive association between them. Case in Industrialized Countries P Long term; Positive correlation; Proportional changes Ms Case in Latin America-time series Strong positive relationship Price level Money supply Money & Exchange Rate in the long run • A permanent increase in a country’s money supply causes a proportional long-run depreciation of its currency against foreign currencies and vice versa. Short-run price rigidity vs. long-run price flexibility • Prices are written into long-term contracts; • The most important prices are workers’ wages; • Workers’ wages do not enter indices of the price level directly, but they constitute the cost of production; • Wages influence the overall price level; • The short-run “stickiness” of price level; (Chinese presumptions) The exchange rate is much more variable than relative price level; The price levels are relatively rigid in the short run and they will not jump in response to policy changes. There are some exceptions of shortrun stickiness of price levels 1. Excess demand for output and labor; 2. Inflationary expectations; 3. Raw materials prices; Permanent money supply changes & the exchange rate • P. 389 • Notice that the dollar depreciation is greater than it would be if the future dollar/euro exchange rate stayed fixed (as it might if the money supply increase temporary rather than permanent). If the expectation E$e/ E did not change, the new short-run equilibrium would be at point 3’ rather than at point 2’. Start from MS ↑ Short-run effects Adjustment to longrun equilibrium Exchange rate overshooting • The exchange rate is said to overshoot when its immediate response to disturbance is greater than its long-run response. Exchange rate overshooting is an important phenomenon because it helps explain why exchange rates move so sharply from day to day. • The explanation comes from the interest parity condition. Time paths of U.S. economic variables after a permanent increase in the U.S money supply 中文翻译 Overshooting • Overshooting is a direct consequence of the short-run rigidity of the price level. • In a hypothetical world where the price level could adjust immediately to its new long-run level after a money supply increase, the dollar interest rate would not fall because prices would adjust immediately and prevent the real money supply from rising. Development of “Overshooting” • Chinese version 由于商品价格粘性的 存在,当货币供给一次性增加以后,本币 汇率的瞬间贬值程度大于长期贬值程度, 该现象为汇率超调。 • 在短期内,总供给曲线是水平的,价格水 平不发生调整,货币供给的一次性增加只 是造成本国利率的下降,本币汇率的贬值 超过长期平衡水平,本国产出超过充分就 业水平。 • 预期的未来汇率水平不变,导致汇率调 整的主要因素是本国利率的调整。 • 随着利率的逐步提高,实际汇率也逐步 升值并向其长期平衡水平趋近。 • 一直持续到均衡状态:价格水平发生与 货币供应量的增加同比率上涨。此时, 购买力平价成立。 超调模型的评价 • 创立了动态汇率学; • 会使购买力平价短期不成立;