Question

Assuming the expectations theory is the correct theory of the term structure, calculate the interest rates in the term structure for maturities of one to five years, and plot the resulting yield curves for the following paths of one-year interest rates over the next five years: a. 5%, 7%, 7%, 7%, 7% b. 5%, 4%, 4%, 4%, 4% Mishkin, Frederic S.. Economics of Money, Banking and Financial Markets, The (What's New in Economics) (p. 139). Pearson Education. Kindle Edition.

Answer 1

Answer:

The plot of the yields is attached.

Explanation:

i) 6%, 7%, 8%, 7%, 6%

Interest rate on 1 year maturity = 6%/1 = 6%

Interest rate on2 year maturity = (6%+7%)/2 = 6.5%

Interest rate on 3 year maturity = (6%+7%+8%)/3 = 7%

Interest rate on 4 year maturity = (6% + 7% + 8% + 7%)/4 = 7%

Interest rate on 5 year maturity = (6% + 7% + 8% + 7% + 6%)/7 = 6.8%

ii)6%, 5%, 4%, 5%, 6%

Interest rate on 1 year maturity = 6%/1 = 6%

Interest rate on 2 year maturity = (6% + 5%)/2 = 5.5%

Interest rate on 3 year maturity = (6% + 5% + 4%)/3 = 5%

Interest rate on 4 year maturity = (6% + 5% + 4% + 5%)/4 = 5%

Interest rate on 5 year maturity =   (6% + 5% + 4% + 5% + 6%)/5 = 5.2%