# difference in interest rates between 10-year AT&T bonds

Assume that k* = 1.0%; the maturity risk premium is found as MRP = 0.2%(t - 1) where t = years to maturity; the default risk premium for AT&T bonds is found as DRP = 0.07%(t - 1); the liquidity premium is 0.50% for AT&T bonds but zero for Treasury bonds; and inflation is expected to be 7%, 6%, and 5% during the next three years and then 4% thereafter. What is the difference in interest rates between 10-year AT&T bonds and 10-year Treasury bonds?

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Financial Management

Assume that k* = 1.0%; the maturity risk premium is found as MRP = 0.2%(t - 1) where t = years to maturity; the default risk premium for AT&T bonds is found as DRP = 0.07%(t - 1); the liquidity premium is 0.50% for AT&T bonds but zero for Treasury bonds; and inflation is expected to be 7%, 6%, and 5% during the next three years and then 4% thereafter. What is the difference in interest rates between 10-year AT&T bonds and 10-year Treasury bonds?

Interest rate = k = k* + IP + DRP + LP + MRP

Where k = interest rate

k* = real risk-free rate

IP = inflation premium

DRP = default risk premium

LP = liquidity premium

MRP = maturity risk premium

Year 1

10-year AT&T bonds

MRP = 0.2%(9 - 1) = 1.6%

DRP = 0.07%(9 - 1) = 0.56%

LP = 0.50%

IP = 7%

k = 1.0% + 7% + 0.56% + 0.50% + 1.6% = 10.66%

10-year ...

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This solution is comprised of a detailed calculation to answer the difference in interest rates between 10-year AT&T bonds and 10-year Treasury bonds.