Question
1. Suppose your firm has an obligation to pay an annuity with 18 annual payments of $80,000. The first payment is due two years from
1. Suppose your firm has an obligation to pay an annuity with 18 annual payments of $80,000. The first payment is due two years from today. Assume all interest rates are 11.5%. Write down the information requested on your answer sheet. What is the present value of the obligation? Round and express your answer to the nearest whole dollar (i.e., nearest integer).
1.1. What is the duration of the obligation? Please carry out intermediate steps further but in your final answer be accurate to and express your FINAL answer as accurate to the nearest 4 decimal places.
1.2. Suppose the firm wishes to use a portfolio consisting of two different bonds to fully fund and immunize the obligation. Bond A is a 4-year, zero-coupon bond. Bond B is a 20-year, 4% annual coupon bond with a duration of 11.5 years. Using your final, rounded answers to 17-18 when performing calculations, what should be the total par value (or face value), in dollars, of the firms total investment in Bond B? Round and express your final answer to the nearest whole dollar (i.e., nearest integer)
Do not use excel.
Show entire work.
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