Chapter 16 Domestic and International Dimensions of Monetary Policy 247
◼ Answers to Problems
16-1. Let’s denote the price of a nonmaturing bond (called a consol) as Pb. The equation that
indicates this price is Pb = I/r, where I is the annual net income the bond generates and r is
the nominal market interest rate.
a. Suppose that a bond promises the holder $500 per year forever. If the nominal market
interest rate is 5 percent, what is the bond’s current price?
b. What happens to the bond’s price if the market interest rate rises to 10 percent?
16-2. On the basis of Problem 16-1, imagine that initially the market interest rate is 5 percent and
at this interest rate you have decided to hold half of your financial wealth as bonds and half
as holdings of non-interest-bearing money. You notice that the market interest rate is
starting to rise, however, and you become convinced that it will ultimately rise to 10 percent.
a. In what direction do you expect the value of your bond holdings to go when the interest
rate rises?
b. If you wish to prevent the value of your financial wealth from declining in the future,
how should you adjust the way you split your wealth between bonds and money? What
does this imply about the demand for money?
16-3. You learned in an earlier chapter that if there is an inflationary gap in the short run, then
in the long run a new equilibrium arises when input prices and expectations adjust upward,
causing the short-run aggregate supply curve to shift upward and to the left and pushing
equilibrium real GDP per year back to its long-run value. In this chapter, however, you
learned that the Federal Reserve can eliminate an inflationary gap in the short run by
undertaking a policy action that reduces aggregate demand.
a. Propose one monetary policy action that could eliminate an inflationary gap in the short
run.
b. In what way might society gain if the Fed implements the policy you have proposed
instead of simply permitting long-run adjustments to take place?
16-4. You learned in an earlier chapter that if a recessionary gap occurs in the short run, then in
the long run a new equilibrium arises when input prices and expectations adjust downward,
causing the short-run aggregate supply curve to shift downward and to the right and
pushing equilibrium real GDP per year back to its long-run value. In this chapter, you
learned that the Federal Reserve can eliminate a recessionary gap in the short run by
undertaking a policy action that increases aggregate demand.