A 5-year Treasury bond has a 4.3% yield. A 10-year Treasury bond yields 7%, and a 10-year corporate bond yields 8.3%. The market expects that inflation will average 3.45% over the next 10 years (IP10 = 3.45%). Assume that there is no maturity risk premium (MRP = 0) and that the annual real risk-free rate, r*, will remain constant over the next 10 years. (Hint: Remember that the default risk premium and the liquidity premium are zero for Treasury securities: DRP = LP = 0.) A 5-year corporate bond has the same default risk premium and liquidity premium as the 10-year corporate bond described. What is the yield on this 5-year corporate bond? Round your answer to two decimal places.

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
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A 5-year Treasury bond has a 4.3% yield. A 10-year Treasury bond yields 7%, and a 10-year corporate bond yields 8.3%. The market expects that inflation will average 3.45% over the next 10 years (IP10 = 3.45%). Assume that there is no maturity risk premium (MRP = 0) and that the annual real risk-free rate, r*, will remain constant over the next 10 years. (Hint: Remember that the default risk premium and the liquidity premium are zero for Treasury securities: DRP = LP = 0.) A 5-year corporate bond has the same default risk premium and liquidity premium as the 10-year corporate bond described. What is the yield on this 5-year corporate bond? Round your answer to two decimal places.

Expert Solution
Step 1

10 years corporate yield = 10 year Treasury yield + DRP + IP

8.3% = 7% + DRP + IP

DRP + IP = 8.3% - 7%

DRP + IP = 1.30%

 

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