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Chapter 4 Money and Inflation CHAPTER 4 Money and Inflation slide 0 In this chapter, you will learn… The classical theory of inflation causes effects social costs “Classical” – assumes prices are flexible & markets clear Applies to the long run CHAPTER 4 Money and Inflation slide 1 U.S. inflation and its trend, 1960-2006 15% % change in CPI from 12 months earlier 12% long-run trend 9% 6% 3% 0% 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 slide 2 Turkish inflation and its trend, 2001-2011 Source: CBT CHAPTER 4 Money and Inflation slide 3 The connection between money and prices Inflation rate = the percentage increase in the average level of prices. Question: How would you calculate the inflation rate if you know the GDP deflator or the CPI? CHAPTER 4 Money and Inflation slide 4 The money supply and monetary policy definitions The money supply is the quantity of money available in the economy. Monetary policy is the control over the money supply. Expansionary MP Contractionary MP CHAPTER 4 Money and Inflation slide 5 The central bank Monetary policy is conducted by a country’s central bank. In the U.S., the central bank is called the Federal Reserve (“the Fed”). The Federal Reserve Building Washington, DC CHAPTER 4 Money and Inflation slide 6 In Turkey, the central bank is called the “Central Bank of Turkey (CBT)” or TCMB. CHAPTER 4 Money and Inflation slide 7 Money supply measures, April 2006 symbol assets included C amount ($ billions) Currency $739 M1 C + demand deposits, travelers’ checks, other checkable deposits $1391 M2 M1 + small time deposits, savings deposits, money market mutual funds, money market deposit accounts $6799 CHAPTER 4 Money and Inflation slide 8 Why do we care about these various measures? Because an increase Money demand reflects an increase in demand for goods and services Inflation? keeping output constant, demand P Watching the right quantity is important for policy making. CHAPTER 4 Money and Inflation slide 9 The Quantity Theory of Money A simple theory linking the inflation rate to the growth rate of the money supply. Begins with the concept of velocity… CHAPTER 4 Money and Inflation slide 10 Velocity basic concept: the rate at which money circulates definition: the number of times the average dollar bill changes hands in a given time period example: In 2007, $500 billion in transactions money supply = $100 billion The average dollar is used in five transactions in 2007 So, velocity = 5 CHAPTER 4 Money and Inflation slide 11 Velocity, cont. This suggests the following definition: T V M where V = velocity T = value of all transactions M = money supply CHAPTER 4 Money and Inflation slide 12 Velocity, cont. Use nominal GDP as a proxy for total transactions. Then, P Y V M where P = price of output Y = quantity of output P Y = value of output CHAPTER 4 Money and Inflation (GDP deflator) (real GDP) (nominal GDP) slide 13 The quantity equation The quantity equation M V = P Y follows from the preceding definition of velocity. It is an identity: it holds by definition of the variables. CHAPTER 4 Money and Inflation slide 14 M in the quantity equation refers to Money Supply. What is Money Demand? CHAPTER 4 Money and Inflation slide 15 Money demand and the quantity equation M/P = real money balances, the purchasing power of the money supply. A simple money demand function: (M/P )d = kY where k = how much money people wish to hold for each dollar of income. (k is exogenous) CHAPTER 4 Money and Inflation slide 16 Money demand and the quantity equation money demand: quantity equation: (M/P )d = kY M V = P Y (M/P)s = Y/V In equilibrium: (M/P)d = (M/P)s k = 1/V When people hold lots of money relative to their incomes (k is high), money changes hands infrequently (V is low). CHAPTER 4 Money and Inflation slide 17 Back to the quantity theory of money starts with quantity equation assumes V is constant & exogenous: V V With this assumption, the quantity equation can be written as M V P Y CHAPTER 4 Money and Inflation slide 18 The quantity theory of money, cont. M V P Y How the price level is determined: With V constant, the money supply determines nominal GDP (P Y ). Real GDP is determined by the economy’s supplies of K and L and the production function (Chap 3). The price level is P = (nominal GDP)/(real GDP). CHAPTER 4 Money and Inflation slide 19 The quantity theory of money, cont. Re-write the quantity equation as: % in M % in V % in P % in Y 0 InflationRate 0 % ∆ in Y: 0 (unless there is a ∆ in tech. or factors of production) The Central Bank (by adjusting the level of M) has control over inflation rate. CHAPTER 4 Money and Inflation slide 20 Confronting the quantity theory with data The quantity theory of money implies 1. countries with higher money growth rates should have higher inflation rates. 2. the long-run trend behavior of a country’s inflation should be similar to the long-run trend in the country’s money growth rate. Are the data consistent with these implications? CHAPTER 4 Money and Inflation slide 21 International data on inflation and money growth 100 Turkey Inflation rate Ecuador Indonesia (percent, logarithmic scale) Belarus 10 Argentina U.S. 1 Singapore Switzerland 0.1 1 10 100 Money Supply Growth (percent, logarithmic scale) CHAPTER 4 Money and Inflation slide 22 Inflation and interest rates Nominal interest rate, i , is not adjusted for inflation Real interest rate, r , is adjusted for inflation: r = i CHAPTER 4 Money and Inflation slide 23 The Fisher effect The Fisher equation: i = r + Chap 3: S = I determines r. Hence, an increase in causes an equal increase in i. This one-for-one relationship is called the Fisher effect. CHAPTER 4 Money and Inflation slide 24 Inflation and nominal interest rates in the U.S., 1955-2006 percent per year 15 nominal interest rate 10 5 0 inflation rate -5 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 CHAPTER 4 Money and Inflation slide 25 Exercise: Suppose V is constant, M is growing 5% per year, Y is growing 2% per year, and r = 4. a. Solve for i. b. If the Fed increases the money growth rate by 2 percentage points per year, find i. c. Suppose the growth rate of Y falls to 1% per year. What will happen to ? What must the Fed do if it wishes to keep constant? CHAPTER 4 Money and Inflation slide 26 Answers: V is constant, M grows 5% per year, Y grows 2% per year, r = 4. a. First, find = 5 2 = 3. Then, find i = r + = 4 + 3 = 7. b. i = 2, same as the increase in the money growth rate. c. If the Fed does nothing, = 1. To prevent inflation from rising, Fed must reduce the money growth rate by 1 percentage point per year. CHAPTER 4 Money and Inflation slide 27 Two real interest rates When the borrower and the lender sign a contract, it specifies the nominal interest rate. Q: Do the borrower and the lender know the real interest rate over the duration of the contract? A: They do not know the actual but they have a guess. Ex-ante real interest rate: expected real interest rate before the contract is signed Ex-post real interest rate: realized interest rate CHAPTER 4 Money and Inflation slide 28 Two real interest rates = actual inflation rate (not known until after it has occurred) e = expected inflation rate i – e = ex ante real interest rate: the real interest rate people expect at the time they buy a bond or take out a loan i – = ex post real interest rate: the real interest rate actually realized CHAPTER 4 Money and Inflation slide 29