Calculate the one year interest rate, Applied Statistics

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A.The coupon rate of Erie-Chicago Rail is 7%. The interest rate of Florida municipal bond with equal risk is 6%.  At what tax rate the two bonds are as good as each other

B.Suppose that the coupon rate of Eire-Chicago is r and the interest rate of Florida bond is i Let t be the tax rate. What is the formula to calculate the tax rate at which both bonds become precisely as good as each other?

Assume that you believe in the exact expectation theory.

A.The one year interest rate at t=0 is 0.03 now. The interest rate on the two year loan is 0.035. Calculate the one year interest rate expected(forward rate) at t=1.

B. Suppose further that the interest rate on the three year loan is 0.04. What will be the forecast of the one year interest rate expected(forward rate) at t=2?

C. Suppose futher that the interest rate of the four year loan is 0.043. What will be the forecast of the one year interest rate expected(forward rate) at  t=3?

D.Suppose further that the interest rate of the five year loan is 0.045. What will be the

forecast of the one year interest rate expected(forward rate) at t=4?

Assume that you believe in Mishikin's version of the liquidity premium theory.

A.The interest rate on the two year loan is 0.085 whereas that on one year loan is 0.08 at t=0. The liquidity premium on one year loan is 0 and the liquidity premium on two year  is 0.002.

Calculate the one year interest rate expected(forward rate) at t=1.


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