Suppose the one year risk-free rate (the yield on a one-year Treasury discount bond) is 5%. There are two one-year corporate discount bonds with a face value of 1, 000. The first one is investment grade and trades at $925.38 and the second bond is speculative grade and trades at $769.23.

(a) What is the price of an one-year Treasury discount bond with a face value of $1, 000.

(b) What is the yield spread of the investment grade bond?

(c) What is the yield spread of the speculative grade bond?

(d) Suppose both bonds default in one year. The recovery rate for the investment- and speculative-grade bonds are 60% and 50%, respectively. Compute the realized one-year return for both bonds and compare them.