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Problem 22-10 (LG 22-3) An insurance company issued a $100 million one-year, zero-coupon note at 6 percent add-on annual interest (paying one coupon at the
Problem 22-10 (LG 22-3) An insurance company issued a $100 million one-year, zero-coupon note at 6 percent add-on annual interest (paying one coupon at the end of the year) and used the proceeds plus $20 million in equity to fund a $120 million face value, two-year commercial loan at 5 percent annual interest. Immediately after these transactions were (simultaneously) undertaken, all interest rates went up 1.5 percent. a. What is the market value of the insurance company's loan investment after the changes in interest rates? (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places. (e.g., 32.16)) Market value of the loan investment million b. What is the duration of the loan investment when it was first issued? (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161)) Duration of the loan investment years c. Using duration, what is the new expected value of the loan if interest rates are predicted to increase to 6.5 percent from the initial 5 percent? (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places. (e.g., 32.16)) New expected value million d. What is the market value of the insurance company's $100 million liability when interest rates rise by 1.5 percent? (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places. (e.g., 32.161)) Market value of the liability million e. What is the duration of the insurance company's liability when it is first issued? Duration of the liability year(s)
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