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A firm has liabilities with a present value of $,5000, a Macaulay duration of 12, and a Macaulay convexity of 195. The firm uses Redington
A firm has liabilities with a present value of $,5000, a Macaulay duration of 12, and a Macaulay convexity of 195. The firm uses Redington immunization to create a portfolio consisting of two of the following three zero-coupon bonds redeemable at par:
Bond | Maturity | Par Value | Effective Yield |
---|---|---|---|
A | 5 years | 1000 | 8% |
B | 10 years | 1000 | 8% |
C | 20 years | 1000 | 8% |
Find the dollar amounts invested in each bond.
(A) $1,000 in Bond A and $4,000 in Bond B
(B) $2,000 in Bond A and $3,000 in Bond C
(C) $2,666.67 in Bond A and $2,333.33 in Bond C
(D) $3,000 in Bond B and $2,000 in Bond C
(E) $4,000 in bond B and $1,000 in Bond C
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