A company has an obligation to pay 2,000,000€ in four years. The financial manager of the company wants to build a portfolio of bonds so that, whether interest rates rise or fall, the portfolio can pay off the abovementioned obligation. Suppose only the three following bonds are available to be chosen: - Coupon bonds with a face value of 1,000€ that mature in 6 years and pay an annual coupon of 6%. - Zero-coupon bonds with a maturity value of 1,000€ that mature in 3 years. - Coupon bonds with a face value of 1,000€, annual coupon of 7% that is paid semiannually and maturity in two years and a half. Determine the exact composition of the portfolio of bonds that guarantees the payment of 2,000,000€ in four years setting a proportion of 20% for zero-coupon bonds and assuming an annual effective yield to maturity of 5%

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A company has an obligation to pay 2,000,000€ in four years. The financial manager of the company wants to build a portfolio of bonds so that, whether interest rates rise or fall, the portfolio can pay off the abovementioned obligation. Suppose only the three following bonds are available to be chosen: - Coupon bonds with a face value of 1,000€ that mature in 6 years and pay an annual coupon of 6%. - Zero-coupon bonds with a maturity value of 1,000€ that mature in 3 years. - Coupon bonds with a face value of 1,000€, annual coupon of 7% that is paid semiannually and maturity in two years and a half. Determine the exact composition of the portfolio of bonds that guarantees the payment of 2,000,000€ in four years setting a proportion of 20% for zero-coupon bonds and assuming an annual effective yield to maturity of 5% 

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