Question: Estimate teacher, I have a doubt about solving this problem. Thank you in advance Suppose you are managing a pension fund with obligations to make

Estimate teacher, I have a doubt about solving this problem. Thank you in advance

Suppose you are managing a pension fund with obligations to make perpetual payments of

$3 million per year to beneficiaries. The YTM on all bonds is 4%.

a. If the duration of 3-year maturity bonds with coupon rates of 12% (paid

annually) is 2 years and the duration of a 5-year maturity bonds with coupon

rates of 6% (paid annually) is 4 years, how much of these coupon bonds (in

market value) will you want to hold to both fully fund and immunize your

obligation?

b. What would be the par value of your holdings on the 5-year coupon bond?

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