In five years, you are going to pay ( 20,000) to purchase a machine for your firm.

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In five years, you are going to pay \(€ 20,000\) to purchase a machine for your firm. Consider a portfolio consisting of a zero-coupon bond maturing in seven years and a coupon bond with coupon rate 5\% (the bond pays one coupon per year), maturing in three years. The term structure is flat, and the rate is now \(4 \%\) with annual compounding. Assume a face value of \(€ 1000\) for both bonds.

- Build an immunized portfolio. What is the problem with your choice of bonds?

- Repeat the procedure, but now consider the same zero and a similar coupon bond maturing in six years. Is this portfolio easy to implement?

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