CHAPTER 26 THE MONEY MARKET AND MONETARY POLICY EVEN NUMBER ANSWERS, SOLUTIONS, AND EXERCISES ANSWERS TO ONLINE REVIEW QUESTIONS 2. The money demand curve gives the total quantity of money demanded in the economy at each interest rate. As the interest rate rises, the opportunity cost of holding money increases. Individuals want to take advantage of the rising interest rate and choose to hold more bonds, and thus they demand less money. This inverse relationship explains why the curve slopes downward. A change in the interest rate involves a movement along the money demand curve. In part (a), there is a rightward movement along the money demand curve, and in part (b), there is a leftward movement along the curve. As the price level or real income decreases [parts (c) and (f)], money demand decreases, and the curve shifts leftward. As the price level or real income increases [parts (d) and (e)], money demand increases, and the curve shifts rightward. 4. An excess supply of money implies an excess demand for bonds. As the public buys bonds, the price of bonds increases. An increase in the price of bonds results in a lower interest rate. At a lower interest rate, people are willing to hold more money. The excess supply of money disappears, and the market returns to equilibrium. In the case of an excess demand for money, there is an excess supply of bonds. As people sell their bonds, the price of bonds falls. Falling bond prices means a higher interest rate. As the interest rate increases, the opportunity cost of holding money rises, and money demand decreases. The money market returns to equilibrium. 6. a. An increase in the interest rate discourages business spending on plant and equipment. If the firm must borrow funds to invest, then a higher interest rate means that the firm will have to pay back more to the lender. If instead the firm finances its project out of its own funds, a higher interest rate implies a higher opportunity cost of using the firm’s funds on plant and equipment instead of lending them out. b. New housing purchases are inversely related to interest rates since an increase in the interest rate raises the total cost of a house for families that need to borrow money to make the purchase. c. Since people often borrow money to purchase consumer durables, an increase in the interest rate raises the monthly payments on these items. Consequently, consumers purchase fewer durables when interest rates rise. 8. The classical model is a long-run framework. It uses the loanable funds market to explain how the interest rate is determined. But the classical theory of the interest rate does not take into account short-run changes in output, such as recessions and booms, and it ignores changes in the public’s preference for holding its wealth in money versus bonds. Thus, we could not explain the short-run determination of the interest rate in the classical, loanable funds framework. Similarly, changes in output and changes in the public’s preference for holding money and bonds—which are captured in our analysis of the money market—do not last forever. Thus, it would not be appropriate to explain the long-run determination of the interest rate using the money market and the short-run macro framework. 10. The federal funds rate is the interest rate that banks with excess reserves charge for lending reserves to other banks. PROBLEM SET 2. a. The money supply curve shifts to the right, and the money supply increases by $196 million. b. The money supply curve shifts to the left, and the money supply decreases by $119 million. 4. a. Price $18,000 $18,500 $19,000 $19,500 $20,000 Amount Paid in 1 Year $20,000 $20,000 $20,000 $20,000 $20,000 Interest Payment $2000 $1500 $1000 $500 $0 Interest Rate 11.11% 8.11% 5.26% 2.56% 0% Quantity of Money Demanded $2,300 billion $2,600 billion $2,900 billion $3,200 billion $3,500 billion b. Since, in equilibrium, MS = MD, the money supply equals $2900 billion. The price of the bond is $19,000. c. If the money supply increases to $3,200 billion, there will be a shortage of bonds, bond prices will rise, and the interest rate will fall until the quantity of money demanded once again equals the quantity supplied. This will happen when the interest rate falls to 2.56% and the price of a bond rises to $19,500. 6. a. The money demand curve will shift to the left; the Fed should decrease the money supply in order to keep the interest rate unchanged. b. The money demand curve will shift to the right; the Fed should increase the money supply in order to keep the interest rate unchanged. c. The money demand curve will shift to the left; the Fed should decrease the money supply in order to keep the interest rate unchanged. 8. Interest Rate s M2 s M1 E′ r′ E r d M Money Real Aggregate Expenditure AEr E AEr′ E′ Z Z 45 ° Y2 Y1 Real GDP Initially, the economy is at point E in the top diagram. To raise the interest rate, the Fed conducts an open-market sale of bonds. The money supply decreases to M2s and the interest rate rises. As the interest rate increases, investment and consumption spending decrease, causing the the aggregate expenditure line to shift downward in the bottom diagram. Consequently, the equilibrium GDP decreases from Y1 to Y2. In the new equilibrium, the interest rate is higher and GDP is lower. 10. The long-run/classical theory relies on flow variables (the flow of loanable funds), whereas the short-run theory of this chapter relies on stock variables (the total quantity of money in the money market). MORE CHALLENGING 12. Initially, suppose that the economy is at point E in the top diagram and point J in the bottom diagram. To raise the interest rate, the Fed conducts an open-market sale of bonds. The money supply decreases to M2s and the interest rate begins to rise, heading towards r. As the interest rate increases, investment and autonomous consumption spending decrease, the aggregate expenditure line shifts downward and real GDP begins to decrease. As real GDP falls, the money demand curve shifts leftward from M1d to M2d. The economy comes to rest at an interest rate between r1 and r, such as r2. Equilibrium is reached at E and K in the top and bottom diagrams, respectively. The Fed’s action causes the money supply to decrease, the interest rate to increase, and GDP to decrease. Interest Rate s M2 s M1 r' r2 E E r1 d M Y=Y 1 d M Y=Y 2 Money Real Aggregate Expenditure AEr = r1 AE r = r2 J K 45° Y2 Y1 Real GDP 14. a. A negative interest rate on reserves would likely increase the money supply and cause interest rates to fall. b. The nominal federal funds rate could not be negative (because the banks could simply choose not to lend out money). If inflation ends up being higher than the nominal interest rate, it is, in general, possible to have a negative real interest rate.