A five-year, 5.0% bond with a YTM of 6.5% has a duration of 4.53 and convexity of 26.26. The bond's current price quote is 93.766. Assume the bond pays annual coupons and has a par value of $1.000. a. Compute the percentage change in the bond's price if its YTM increases 50 basis points. b. Estimate the percentage change in the bond's price using modified duration and the convexity correction (the duration & convexity rule) if the bond's YTM increases 50 basis points. c. Compute the percentage change in the bond's price if its YTM decreases 85 basis points. d. Estimate the percentage change in the bond's price using modified duration and the convexity correction (the duration & convexity rule) if the bond's YTM decreases 85 basis points.

A five-year, 5.0% bond with a YTM of 6.5% has a duration of 4.53 and convexity of 26.26. The bond's current price quote is 93.766. Assume the bond pays annual coupons and has a par value of $1.000. a. Compute the percentage change in the bond's price if its YTM increases 50 basis points. b. Estimate the percentage change in the bond's price using modified duration and the convexity correction (the duration & convexity rule) if the bond's YTM increases 50 basis points. c. Compute the percentage change in the bond's price if its YTM decreases 85 basis points. d. Estimate the percentage change in the bond's price using modified duration and the convexity correction (the duration & convexity rule) if the bond's YTM decreases 85 basis points.

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

Problem 1PS

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The Salem Company bond currently sells for $848.55, has a coupon interest rate of 14%and a $1000 par value, pays interest annually, and has 16 years to maturity. a. Calculate the yield to maturity (YTM) on this bond. b. Explain the relationship that exists between the coupon interest rate and yield to maturity and the par value and market value of a bond.
Suppose a 10-year, $1,000 bond with a coupon rate of 8.8% and semiannual coupons is trading for $1,034.19. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 9.9% APR, what will be the bond's price? a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? The bond's yield to maturity is ☐ %. (Round to two decimal places.)
Suppose a seven-year, $1,000 bond with a 7.9% coupon rate and semiannual coupons is trading with a yield to maturity of 6.71%. a. Is this bond currently trading at a discount, at par, or at a premium? Explain. b. If the yield to maturity of the bond rises to 7.28% (APR with semiannual compounding), what price will the bond trade for? a. Is this bond currently trading at a discount, at par, or at a premium? Explain. (Select the best choice below.) A. Because the yield to maturity is less than the coupon rate, the bond is trading at a discount. B. Because the yield to maturity is less than the coupon rate, the bond is trading at a premium. C. Because the yield to maturity is greater than the coupon rate, the bond is trading at a premium. D. Because the yield to maturity is greater than the coupon rate, the bond is trading at par. b. If the yield to maturity of the bond rises to 7.28% (APR with semiannual compounding), what price will the bond trade for? The new price of the bond is $…
A bond with a 8-year duration is worth $1,074, and its yield to maturity is 7.4%. If the yield to maturity falls to 7.30%, you would predict that the new value of the bond will be approximately _________. a)$1,082.06 b)$1,075.07 c)$1,074.00 d) $1,072.93
A 4-year bond, with a face value of $1000, and a coupon rate of 5% (coupon is paid semi-annually), has current yield of 4.76%. Is this bond sold at a discount, or at a premium? Determine the yield to maturity of this bond.
Bond P is a premium bond with a 10 percent coupon. Bond D is a 6 percent coupon bond currently selling at a discount. Both bonds make annual payments, have a YTM of 8 percent, and have five years to maturity. (Assume par value of K1,000)(i) What is the current yield for Bond P and Bond D?(ii) If interest rates remain unchanged, what is the expected capital gains yield over the next year for Bond P? For Bond D?(iii)Explain your answers and the interrelationship among the various types of yields.
A bond sells for $894.17 and has a coupon rate of 6.20 percent. If the bond has 13 years until maturity, what is the yield to maturity of the bond? Assume semiannual compounding. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
A bond that pays interest semiannually has a coupon rate of 5.08 percent and a current yield of 5.37 percent. The par value is $1,000. What is the bond's price?
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 for both a premium and a discount bond using a 4-year 4.3 percent coupon bond with annual coupon payments and a face value of $1,000. Assume the yield to maturity is 3.3 percent. Assume the yield to maturity is 5.3 percent.
There is a bond that has a quoted price of 105.039 and a par value of $2,000. The coupon rate is 6.87 percent and the bond matures in 25 years. If the bond makes semiannual coupon payments, what is the YTM of the bond? 4.85 % 3.14% 3.23% 5.81 % 6.46%
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The return an investor earns on a bond over a period of time is known as the holding period return, defined as interest income plus or minus the change in the bond's price, all divided by the beginning bond price. a. What is the holding period return on a bond with a par value of $1,000 and a coupon rate of 7.5 percent if its price at the beginning of the year was $1,070 and its price at the end was $960? Assume interest is paid annually. Note: Negative value should be indicated by parenthesis. Round your answer to 2 decimal places. Holding period return %

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