Chapter 15 Money, Inflation and Banking Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Chapter 15 Topics • Alternative forms of money. • Money and the absence of double coincidence of wants. • The causes and effects of long-run inflation. • Financial intermediation and banking. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-2 Alternative Forms of Money • • • • • Commodity money Circulating private bank notes Commodity-backed paper currency Fiat money Transactions deposits at banks Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-3 The Double-Coincidence Problem and the Role of Money • Barter exchange is difficult in highly-developed, specialized economies. • Economic exchange requires search costs, and these costs are high when economic agents are specialized in consumption and production, and can only trade a good or service for another good or service. • Search costs are reduced dramatically if everyone accepts money in exchange for goods and services. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-4 Figure 15.1 An Absence-of-DoubleCoincidence Economy Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-5 Figure 15.2 Good 1 as a Commodity Money in the Absence-of-DoubleCoincidence Economy Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-6 Figure 15.3 Fiat Money in the Absenceof-Double-Coincidence Economy Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-7 The Effects of Long-Run Inflation • Use the monetary intertemporal model from Chapter 10. • Show that money is not superneutral – higher money growth causes higher inflation, which affects real economic variables. • An increase in the money growth rate increases the inflation rate and the nominal interest rate, and reduces employment and output. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-8 Figure 15.4 Scatterplot of the Inflation Rate vs. the Growth Rate in M0 for the United States, 1960–2006 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-9 Equation 15.1 Assume that the central bank causes the money supply to grow at a constant rate. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-10 Equation 15.2 In equilibrium, money supply equals money demand. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-11 Equation 15.3 Money supply also equals money demand in the future period. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-12 Equation 15.4 Combine the previous two equations. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-13 Equation 15.5 The consumer’s intertemporal marginal condition. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-14 Equation 15.6 Marginal condition reflecting the consumer’s tradeoff between current leisure and future consumption: Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-15 Equation 15.7 Marginal condition reflecting the consumer’s tradeoff between current leisure and current consumption: Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-16 Figure 15.5 The Long-Run Effects of an Increase in the Money Growth Rate Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-17 The Friedman Rule • Inflation causes an inefficiency, in that it distorts intertemporal decisions. • The Friedman rule is a prescription for monetary growth that eliminates the inefficiency caused by inflation. • The Friedman rule specifies that the money stock grow at a rate that makes the nominal interest rate zero. • In practice, no central bank appears to have adopted a Friedman rule to guide monetary policy. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-18 Equation 15.9 Pareto optimality requires that Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-19 Equation 15.10 In a competitive equilibrium, Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-20 Equation 15.11 Also, in a competitive equilibrium, Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-21 Properties of Assets • • • • Rate of return Risk Maturity Liquidity Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-22 Defining Characteristics of Financial Intermediaries 1. Borrow from one group of economic agents and lend to another. 2. Well-diversified with respect to both assets and liabilities. 3. Transform assets. 4. Process information. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-23 The Diamond-Dybvig Banking Model • Three periods, 0, 1, and 2. • Two types of consumers: early (consume in period 1) and late (consume in period 2) • Efficient economic arrangement is for consumers to set up a bank in order to share risk. • Given the bank’s deposit contract, the bank is open to a run, which is a bad equilibrium. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-24 Figure 15.6 The Utility Function For a Consumer in the Diamond–Dybvig Model Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-25 Figure 15.7 The Preferences of a Diamond–Dybvig Consumer Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-26 Equation 15.12 • The marginal rate of substitution of early consumption for late consumption is Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-27 Equation 15.13 • First constraint that a deposit contract must satisfy is Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-28 Equation 15.14 Second constraint that a deposit contract must satisfy is Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-29 Equation 15.15 Combine the two constraints to get one: Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-30 Equation 15.16 Re-write the constraint: Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-31 Figure 15.8 The Equilibrium Deposit Contract Offered by the Diamond–Dybvig Bank Copyright © 2008 Pearson Addison-Wesley. All rights reserved. 15-32