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10. A pension plan is obligated to make disbursements of $3.3 million. $4.0 million, and $3.3 million at the end of each of the next

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10. A pension plan is obligated to make disbursements of $3.3 million. $4.0 million, and $3.3 million at the end of each of the next three years. respectively. The annual interest rate is 10%. If the plan wants to fully fund and immunize its position. how much of its portfolio should it allocate to one-year zero-coupon bonds and perpetuities. respectively, if these are the only two assets funding the plan? (Do not round intermediate calculations. Round your answers to 2 decimal places.) A bond currently sells for $1.050. which gives it a yield to maturity of 6%. Suppose that if the yield increases by 25 basis points, the price of the bond falls to $1.025. What is the duration of this bond? (Do not round intermediate calculations. Round your answer to 4 decimal places.)

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