An insurance company must make payments to a customer of $20 million in 1 year and $8 million in 5 years. The yield curve is flat at 10%. 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? (in years, use four decimal places) What must be the face value and market value of that zero-coupon bond? (in millions, use two decimal places)

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
Problem 15P
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An insurance company must make payments to a customer of $20 million in 1 year and $8 million in 5 years. The yield curve is flat at 10%.

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? (in years, use four decimal places)

What must be the face value and market value of that zero-coupon bond? (in millions, use two decimal places)

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