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Exam fm sample questions - Society of Actuaries

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59.<br />

A liability consists <strong>of</strong> a series <strong>of</strong> 15 annual payments <strong>of</strong> 35,000 with the first payment to be made<br />

one year from now.<br />

The assets available to support this liability are five-year and ten-year zero-coupon bonds.<br />

The annual effective interest rate used to value the assets and liabilities is 6.2%. The liability has<br />

the same present value and duration as the asset portfolio.<br />

Calculate the amount invested in the five-year zero-coupon bonds.<br />

(A) 127,000<br />

(B) 167,800<br />

(C) 208,600<br />

(D) 247,900<br />

(E) 292,800

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