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An insurance company has liabilities due at the end of each of the next two...

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Finance

An insurance company has liabilities due at the end of each of the next two years. The liability due at the end of the second year is twice that for the first year. The company uses a combination of the following two bonds to match the liabilities. The second bond has annual coupons.
Term to maturity (in years) Annual coupon rate Annual effective yield
10%6%
25%8%
Assume both bonds are redeemed at par and the company invests 9465 in the two-year bond.
Calculate the amount the company should invest in the one-year bond to construct an exactly matched portfolio.
A)4,245
B)4,398
C)4,481
D)4,717
E)4,953

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