Treasury securities that mature in 6 years currently have an interest rate of 8.5%. Inflation is expected to be 5% each of the next three years and 6% each year after the third year. The maturity risk premium is estimated to be 0.1%(t – 1), where it is equal to the maturity of the bond (i.e. the maturity risk premium of a one-year bond is zero). The real risk-free rate is assumed to be constant over time. What is the real risk-free rate of interest?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 10P
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Treasury securities that mature in 6 years currently have an interest rate of 8.5%. Inflation is expected to be 5% each of the next three years and 6% each year after the third year. The maturity risk premium is estimated to be 0.1%(t – 1), where it is equal to the maturity of the bond (i.e. the maturity risk premium of a one-year bond is zero). The real risk-free rate is assumed to be constant over time. What is the real risk-free rate of interest?

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