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Please show your work for each step 29. (2 points) A pension fund's present value of liability is $29 million (also equals its present value

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29. (2 points) A pension fund's present value of liability is $29 million (also equals its present value of asset) and the duration of liability is 15 years. The pension fund constructs a portfolio p which allocates 1 share of its wealth on 1-year zero coupon bond (1yr ZCB ) and the remaining wealth on 30-year zero coupon bond (30yr ZCB). Suppose this portfolio p incorporates 50,000 shares of 1yrZZB, and it successfully hedges interest rate risk for the pension fund (i.e. immunization is realized), then what is approximately the current yield of 1yrZZCB ? (suppose the ZCB has face value as $500 )

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