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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 flat at 10%.

(a) If it wants to fully fund and immunise its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (6 marks)

(b) What must be the face value and market value of that zero-coupon bond? (2 marks)

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