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Suppose that you are managing a pension fund with obligations to make perpetual payments of $1.2 million per year to beneficiaries. The required rate of return is 16%.

a. If the duration of 5-year maturity bonds with coupon rates of 8% (paid annually) is 4.2 years and the duration of 20-year maturity bonds with coupon rates of 4% (paid annually) is 8.6 years, how much of each of these coupon bonds (in $ market value) will you want to hold to fully fund and immunize your obligation? The yield to maturity on both bonds is 16%.

[Hint: compute the present value and duration of liabilities first. This provides the dollar amount and target duration you will need to match with an investment in the two coupon bonds above.]

(Do not round intermediate calculations. Enter your answers in millions rounded to 1 decimal place.)

Holdings

5-year bond $ million

20- year bond $ million

b. What will be the par value of your holdings in the 20-year coupon bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Par value $ million

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Financial Management, Finance

Category:- Financial Management
Reference No.:- M92860618

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