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an insurance company must make payments to a customer if $14 million in one year and $10 million in six year. the yield curve is

an insurance company must make payments to a customer if $14 million in one year and $10 million in six year. the yield curve is flat st 12%
a) calculate the duration
b) if it wants to fully fund and inmunize its obligation to the customer with a sinngle issue of a zero coupon bond, what maturity bind must it purchase?

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