Bond returns If a bond’s yield to maturity does not change, the return on the bond each year will be equal to the yield to maturity. Confirm this with a simple example of a four-year bond selling at a premium to face value. Now do the same for a four-year bond selling at a discount. For convenience, assume annual coupon payments.
To discuss: Illustrate on return on bond equals yield to maturity (YTM).
Explanation of Solution
4-year bond selling at a premium to face value and the 3% coupon bond is 2%.
If the yield to maturity remain same, 1 year later the bond will sell as follows:
Calculation of interest rate:
Thus, the interest rate equals yield to maturity.
To discuss: Illustrate on return on bond equals yield to maturity (YTM).
Explanation of Solution
4-year bond selling at discount to face value and the 3% coupon bond is 4%.
If the yield to maturity remain same, 1 year later the bond will sell as follows:
Calculation of interest rate:
Thus, the interest rate equals yield to maturity.
Thus, the interest rate equals yield to maturity.
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Chapter 3 Solutions
EBK PRINCIPLES OF CORPORATE FINANCE
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- Suppose that the yield curve shows that the one-year bond yield is 8 percent, the two-year yield is 7 percent, and the three-year yield is 7 percent. Assume that the risk premium on the one-year bond is zero, the risk premium on the two-year bond is 1 percent, and the risk premium on the three-year bond is 2 percent. a. What are the expected one-year interest rates next year and the following year? The expected one-year interest rate next year = The expected one-year interest rate the following year b. If the risk premiums were all zero, as in the expectations hypothesis, what would the slope of the yield curve be? The slope of the yield curve would be (Click to select) % %arrow_forwardAssume the pure expectation theory holds: If the return on 6 years maturity treasury bill (TB) is 8%, the return on 1-year maturity TB is 6%, the return on a 2 years maturity (TB) is 7%, X is the return on a 3-year maturity bond. a. Calculate X, the forward rate, the return on a 3-year maturity bond, 3 years from today. b. Graph the yield curve c. Based on the yield curve you just derived, what are your expectations of the future performance of the economy?arrow_forwardThe YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy a bond with an annual coupon rate of 7 percent for $1,160. The bond has 15 years to maturity. What rate of return do you expect to earn on your investment? Assume a par value of $1,000. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b- Two years from now, the YTM on your bond has declined by 1 percent, and you 1. decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b- What is the HPY on your investment? (Do not round intermediate calculations and 2. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Expected rate of return b-1. Bond price b-2. HPY % I %arrow_forward
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