Final answer:
To calculate the prices of the AUS Treasury security and the ABBB-rated corporate bond, discount the future cash flows at the respective yield to maturity. The price of the Treasury bond depends on a yield of 7.5%, and the price of the corporate bond depends on 8.9%. The credit spread is found by subtracting the Treasury yield from the corporate bond yield.
Step-by-step explanation:
To find the price of both the AUS Treasury security and the ABBB-rated corporate bond, we need to discount the future cash flows of the bonds to their present value using their respective yields to maturity. The cash flows consist of semi-annual coupon payments and the face value received at maturity.
For the Treasury bond with a semi-annual coupon rate of 8.1% and a yield to maturity of 7.5%, first convert the percentages to decimals (i.e., 8.1% to 0.081 and 7.5% to 0.075). Then, semi-annual coupon is 0.081/2 multiplied by the face value. The discount rate per period is 0.075/2. Calculate the present value of each coupon payment and the face value and sum them to find the price.
Similarly, for the BBB-rated corporate bond, use the yield to maturity of 8.9%, perform the same calculation to find its price.
The credit spread is the difference between the yield of the corporate bond and the Treasury bond. Given the yields provided, the credit spread can be found by subtracting the Treasury yield from the corporate bond's yield.
Since question d appears to be a repetition of question a, the answer would be the same as the price calculated for the AUS Treasury security.