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Question
Describe time inconsistency and explain how it can be avoided by a central bank setting monetary policy.Answer
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Suppose that a risk-neutral investor has a choice between buying a one-year bond paying 5 percent today, a two- year bond paying 4 percent today, a three-year bond paying 8 percent today, or a four-year bond paying 2 percent today, if a one-year bond purchased one year from now is expected to have an interest rate of 6 percent, a one-year bond purchased two years from now is expected to have an interest rate of 7 percent, and a one-year bond purchased three years from now is expected to have an interest rate of 8 percent. Explain with the help of suitable calculations, which of the following would the investor decide to do?a. The investor will purchase a one-year bond today, followed by three successive one-year bonds. b. The investor will purchase a two-year bond today, followed by two successive one-year bonds. c. The investor will purchase a three-year bond today, followed by a one-year bond.d. The investor will purchase a four-year bond today.
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