If market interest rates rise, the price of a ten- year zero-coupon bond will fall by less than the price of a ten-year coupon bond. True or False?
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- Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?Which of the following statements is CORRECT? a. If a coupon bond is selling at par, its yield to maturity is equal to zero. b. If a coupon bond is selling at a discount, its price will continue to increase until it reaches its par value at maturity. c. If interest rates increase, the price of a 10-year coupon bond will decline by a greater percentage than the price of a 10-year zero coupon bond. d. If a bond's yield to maturity exceeds its annual coupon, then the bond will trade at a discount. e. If a coupon bond, is selling at a premium, its yield to maturity is equal to zero. ANSWER IS NOT Ca) You hold a consol that pays a coupon in perpetuity. The current interest rate is i , and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? b) In the next period however, the interest rate changes unexpectedly to i 0. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if 0 > i?
- (a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? (b) In the next period however, the interest rate changes unexpectedly to i 0 . What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i 0 > i? (c) Suppose alternatively that the market expects that the interest rate will change to i 0 after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period?(a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remainunchanged. What will be the price of the consol today? (b) In the next period however, the interest rate changes unexpectedly to i'. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i'> i? (c) Suppose alternatively that the market expects that the interest rate will change to i' after the initial period. What is the initial value of the consol, and whatis the yield from selling it after one period?Which of the following statements is CORRECT? a. If a coupon bond is selling at par, its current yield equals its yield to maturity. b. If a coupon bond is selling at a discount, its price will continue to decline until it reaches its par value at maturity. c. If interest rates increase, the price of a 10-year coupon bond will decline by a greater percentage than the price of a 10-year zero coupon bond. d. If a bond's yield to maturity exceeds its annual coupon, then the bond will trade at a premium. e. If a coupon bond is selling at a premium, its current yield equals its yield to maturity.
- A 20-year bond has a coupon rate of 8 percent, and another bond of the same maturity has a coupon rate of 15 percent. If the bonds are alike in all other respects, which will have the greater relative market price decline if interest rates increase sharply? Why?Assume the zero-coupon yields on default-free securities are as summarized in the following table: Maturity 1 year 2 years 3 years 4 years 5 years Zero-Coupon Yields 4.0% 4.3% 4.5% 4.7% 4.8% What is the price today of a two-year, default-free security with a face value of $1,000 and an annual coupon rate of 6%? Does this bond trade at adiscount, at par, or at a premium? What is the price today of a two-year, default-free security with a face value of $1,000 and an annual coupon rate of 6%? The price is $_____. (Round to the nearest cent.)If the price of a zero coupon bond is $0.88 and it matures in three years, what is the continuous compounded rate of return on the bond?
- Which of the following Treasury securities is likely to show the longest duration? A A 10-year zero coupon bond B A 10-year 10% coupon bond C A Disney unsecured bond D A very long maturity treasury bill A lower coupon rate has what effect on the bond’s duration? A Duration is twice as long for each percent increase B Duration is lower C Duration stays the same D Duration is higherd. If you hold the bonds for one year, and interest rates do not change, what total rate of return will you earn, assuming that you pay the market price? Why is this different from the current yield and YTM?Consider a bond that has a current value of $1,081.11, a face value of $1,000.00, a coupon rate of 10% and five years remaining to maturity.a. What is the bond’s yield-to-maturity today?b. If the bond’s yield does not change, what is its value one year from today? Please solve both parts
