Suppose the central bank wishes to increase the money supply by $500 million and does so by purchasing one-year zero coupon bonds from an economic agent to increase bank reserves. If the central bank buys bonds with an interest rate of 2.5%, how many bonds must they buy to reach their targeted increase in the money supply? Assume the required reserve ratio is 10% and commercial banks fully loan out. Hint: you will need to use the money multiplier in this answer as well as bond pricing - a zero coupon bond is a promise to pay $1000 in one year. Assume there is no currency in the economy.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Suppose the central bank wishes to increase the money supply by $500 million and
does so by purchasing one-year zero coupon bonds from an economic agent to
increase bank reserves. If the central bank buys bonds with an interest rate of 2.5%,
how many bonds must they buy to reach their targeted increase in the money supply?
Assume the required reserve ratio is 10% and commercial banks fully loan out. Hint:
you will need to use the money multiplier in this answer as well as bond pricing - a zero
coupon bond is a promise to pay $1000 in one year. Assume there is no currency in the
economy.
Transcribed Image Text:Suppose the central bank wishes to increase the money supply by $500 million and does so by purchasing one-year zero coupon bonds from an economic agent to increase bank reserves. If the central bank buys bonds with an interest rate of 2.5%, how many bonds must they buy to reach their targeted increase in the money supply? Assume the required reserve ratio is 10% and commercial banks fully loan out. Hint: you will need to use the money multiplier in this answer as well as bond pricing - a zero coupon bond is a promise to pay $1000 in one year. Assume there is no currency in the economy.
Expert Solution
Step 1

Bonds refer to investment securities in which an investor lends money to the organization for a certain period of time in exchange for regular interest payments. And when the bond matures, the bond issuer returns the money to the investor.

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