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An insurance company must make payments to a customer of $10 million in 1 year and $4 million in 5 years. The yield curve is

An insurance company must make payments to a customer of $10 million in 1 year and $4 million in 5 years. The yield curve is at 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?

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