A company is planning to issue perpetual, callable bonds with a coupon rate of 8% paid annually, and a par value of $1,000. The nominal interest rate on these bonds will be 9% for the next year. In one year, the nominal rate on the bonds will be either 10% with probability 0.6, or 8% with probability 0.4. The bonds are callable at $1200. Assuming the bonds are called if the interest rate decreases, what is the price of the callable bond today?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
Problem 15P
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A company is planning to issue perpetual, callable bonds with a coupon rate of 8% paid annually, and a par value of $1,000. The nominal interest rate on these bonds will be 9% for the next year. In one year, the nominal rate on the bonds will be either 10% with probability 0.6, or 8% with probability 0.4. The bonds are callable at $1200. Assuming the bonds are called if the interest rate decreases, what is the price of the callable bond today?

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