Consider three bonds with 6.70% coupon rates, all making annual coupon payments and all selling at face value. The short-term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a maturity of 30 years. What will be the price of the 4-year bond if its yield increases to 7.70%? What will be the price of the 8-year bond if its yield increases to 7.70%? What will be the price of the 30-year bond if its yield increases to 7.70%? What will be the price of the 4-year bond if its yield decreases to 5.70%? What will be the price of the 8-year bond if its yield decreases to 5.70%? What will be the price of the 30-year bond if its yield decreases to 5.70%? Comparing your answers to parts (a), (b), and (c), are long-term bonds more or less affected than short-term bonds by a rise in interest rates? Comparing your answers to parts (d), (e), and (f), are long-term bonds more or less affected than short-term bonds by a decline in interest rates?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
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Consider three bonds with 6.70% coupon rates, all making annual coupon payments and all selling at face value. The short-term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a maturity of 30 years.

  1. What will be the price of the 4-year bond if its yield increases to 7.70%?
  2. What will be the price of the 8-year bond if its yield increases to 7.70%?
  3. What will be the price of the 30-year bond if its yield increases to 7.70%?
  4. What will be the price of the 4-year bond if its yield decreases to 5.70%?
  5. What will be the price of the 8-year bond if its yield decreases to 5.70%?
  6. What will be the price of the 30-year bond if its yield decreases to 5.70%?
  7. Comparing your answers to parts (a), (b), and (c), are long-term bonds more or less affected than short-term bonds by a rise in interest rates?
  8. Comparing your answers to parts (d), (e), and (f), are long-term bonds more or less affected than short-term bonds by a decline in interest rates?

 

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