Question

Treasury securities that mature in 8 years currently have an interest rate of 8.0 percent. The...

Treasury securities that mature in 8 years currently have an interest rate of 8.0 percent. The maturity risk premium is estimated to be 0.1%(t - 1), where t is equal to the maturity of the bond (i.e., the maturity risk premium of a 1-year bond is zero). The real risk-free rate is assumed to be constant over time at 2%. For AAA rated 8-year bonds, DRP and LP combine to equal 2.5%. What is the expected rate of inflation (IP) over the next eight years?

Homework Answers

Answer #1

Real Risk-free Rate = 2.00%

Maturity Risk Premium = 0.10% * (t - 1), t is number of years to maturity
Maturity Risk Premium = 0.10% * (8 - 1)
Maturity Risk Premium = 0.70%

Sum of Default Risk Premium and Liquidity Premium = 2.50%

Interest Rate on Treasury Security = Real Risk-free Rate + Inflation Premium + Maturity Risk Premium + Sum of Default Risk Premium and Liquidity Premium
8.00% = 2.00% + Inflation Premium + 0.70% + 2.50%
8.00% = Inflation Premium + 5.20%
Inflation Premium = 2.80%

Therefore, expected rate of inflation over the next 8 years is 2.80%

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