What is the current price of a 10% coupon bond (with standard semiannual payments) if the yield-to-maturity on the bond is 5% (APR with semiannual compounding), the bond matures two years from today, and the bond has a face value of $1,000? Describe two reasons the yield-to-maturity of the bond might increase. What will happen to the price of the bond when the YTM increases? For a given change in yield-to-maturity (e.g., 100 bps), will a short-term or long-term bond have a bigger percentage change in price? What is the relationship between coupon rates and yield-to-maturity for bonds selling at a premium? at a discount? at par value?

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
Section: Chapter Questions
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Please provide clear calculations/explanations, as indicated, for each of the following questions:

  1. What is the current price of a 10% coupon bond (with standard semiannual payments) if the yield-to-maturity on the bond is 5% (APR with semiannual compounding), the bond matures two years from today, and the bond has a face value of $1,000?
  2. Describe two reasons the yield-to-maturity of the bond might increase. What will happen to the price of the bond when the YTM increases?
  3. For a given change in yield-to-maturity (e.g., 100 bps), will a short-term or long-term bond have a bigger percentage change in price?
  4. What is the relationship between coupon rates and yield-to-maturity for bonds selling
  • at a premium?
  • at a discount?
  • at par value?
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