You are considering an investment in a U.S. Treasury bond butyou are not sure wh
ID: 2661583 • Letter: Y
Question
You are considering an investment in a U.S. Treasury bond butyou are not sure what rate of interest it should pay. Assume thatthe real risk-free rate of interest is 1.0%; inflation is expectedto be 2.0%; the maturity risk premium is 1.5%; and, the defaultrisk premium for AAA rated corporate bonds is 3%. What rate ofinterest should the U.S. Treasury bond pay?a. 7.5% b. 4.5% c. 3.5% d. 3.0% You are considering an investment in a U.S. Treasury bond butyou are not sure what rate of interest it should pay. Assume thatthe real risk-free rate of interest is 1.0%; inflation is expectedto be 2.0%; the maturity risk premium is 1.5%; and, the defaultrisk premium for AAA rated corporate bonds is 3%. What rate ofinterest should the U.S. Treasury bond pay?
a. 7.5% b. 4.5% c. 3.5% d. 3.0%
Explanation / Answer
K = requiredreturn (or) yield on debt security
K* = realrisk-free rate of interest
IP = Inflationpremium
DRP = defaultrisk premium
LP = liquiditypremium
MRP = maturityrisk premium
Real Risk-free rate of interest(K*) = 1.0%
Expected Inflation (IP) = 2.0%
Maturity Risk Premium (MRP) = 1.5%
Default Risk Premium (DRP) = 3%
K = K*+IP+DRP+LP+MRP
K = 1.0% + 2.0% + 3% + 0 + 1.5%
K = 7.5%
Interest rate on U.S Treasury Bond (K)= 7.5%
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