An insurance company must make payments to a customer of $10 million in one year and $4 million in five years. The yield curve is flat at 10%.a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase?b. What must be the face value and market value of that zero-coupon bond?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
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Chapter12: The Cost Of Capital
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Problem 10QTD
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An insurance company must make payments to a customer of $10 million in one year and $4 million in five years. The yield curve is flat at 10%.
a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a
zero-coupon bond, what maturity bond must it purchase?
b. What must be the face value and market value of that zero-coupon bond?

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