Question

Suppose the rate of return on a 10-year T-bond is 5.00% and that on a 10-year Treasury Inflation Protected Security (TIP) is 2.10%. Suppose further that the expected average rate of inflation over the next 10 years is 2.0%, that the MRP on a 10-year T-bond is 0.9%, that no MRP is required on TIPs, and that no liquidity premiums are required on any T-bonds. Given this data, what is the real risk free rate of return, r*? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average.

Answer 1

Answer:

2.06%

Explanation:

in order to determine the real risk free rate of return we can use the following formula:

real risk free rate = [(1 + T-bond yield - T-bond maturity risk premium) / (1 + inflation rate)] -1

real risk free rate = [(1 + 5% - 0.9%) / (1 + 2%)] -1 = (1.041 / 1.02) - 1 = 1.0206 - 1 = 0.0206 = 2.06%