Assume that all interest rates in the economy decline from 8 percent to 7 percent. Which of the following bonds will have the smallest percentage increase in price? A A 10-year zero coupon bond. B D E An 8-year bond with a 9 percent coupon. A 3-year bond with a 10 percent coupon. A 10-year bond with a 10 percent coupon. A 1-year bond with a 15 percent coupon.

Assume that all interest rates in the economy decline from 8 percent to 7 percent. Which of the following bonds will have the smallest percentage increase in price? A A 10-year zero coupon bond. B D E An 8-year bond with a 9 percent coupon. A 3-year bond with a 10 percent coupon. A 10-year bond with a 10 percent coupon. A 1-year bond with a 15 percent coupon.

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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A one-year zero coupon bond costs $99.43 today. Exactly one year from today, it will pay $100. What is the annual yield-to-maturity of the bond? (1.e., what is the discount rate one needs to use to get the price of the bond given the future cash flow of $100 in one year?) 1.0057 0.0057 2.0057 -0.0057
A $1,000 bond has a coupon of 4 percent and matures after tên years. ASsume that the bond pays interest annually. a. What would be the bond's price if comparable debt yields 6 percent? Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. $ b. What would be the price if comparable debt yields 6 percent and the bond matures after five years? Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. c. Why are the prices different in a and b? The price of the bond in a is -Select- v than the price of the bond in b as the principal payment of the bond in a is -Select- v than the principal payment of the bond in b (in time). d. What are the current yields and the yields to maturity in a and b? Round your answers to two decimal places. The bond matures after ten years: CY: % YTM: % The bond matures after five years: CY: YTM:
Which statements is INCORRECT? Treasury bonds (T-bond) have maturities up to 30 years A coupon bond is called a discount bond when its market price is less than its fair price A bond's yield to maturity (YTM) is the return an investor earns if holding the bond until its maturity Treasury bills (T-bill) have maturities up to one year
Consider two bonds, a 3-year bond paying annual coupons at 5% and a 10-year bond also paying annual coupons at 5%. Coupons are paid annually (not semiannually). Both are currently trading at par (i.e., price = face value). A. What must be the current discount rate for these bonds? B. Suppose that the discount rate for these bonds suddenly rise to 9%. What is the new price of the 3-year bond? What is the new price of the 10-year bond? C. Compare the price changes (i.e., the current price of $1,000 vs. the new bond price from Part B) of two bonds. Determine whether long-term or short-term bonds are more sensitive to interest rate fluctuation.
The bond J is a bond with a coupon rate of 4%. The bond K is a bond with a coupon rate of 10%. Both bonds have a maturity of 8 years, make semi - annual payments, and have a yield to maturity of 9%. If interest rates suddenly increase by 2%, what is the percentage change in the price of these bonds? And if the rates suddenly decrease by 2%? What does this problem teach you about the interest rate risk of low - coupon bonds?
5. A 5-year bond with a yield of 7% (continuously compounded) pays an 8% coupon at the end of each year. What is the bond's price? What is the bond's duration? Use the duration to calculate the effect on the bond's price of a 0.2% decrease in its yield.
Bond X is a premium bond making semiannual payments. The bond has a coupon rate of 9 percent, a YTM of 7 percent, and 15 years to maturity. Bond Y is a discount bond making semiannual payments. This bond has a coupon rate of 7 percent, a YTM of 9 percent, and also has 15 years to maturity. Both bonds have a par value of $1,000. a. What is the price of each bond today? b. If interest rates remain unchanged, what do you expect the price of these bonds to be 1 year from now? In 6 years? In 10 years? In 14 years? In 15 years? Note: For all requirements, do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. a. Price today b. Price in 1 year Price in 6 years Price in 10 years Price in 14 years Price in 15 years Bond X Bond Y
Consider a bond with a face value of $1,000 that sells for an initial price of $700. It will pay no coupons for the first nine years and will then pay 11% coupons for the remaining 29 years. Choose an equation showing the relationship between the price of the bond, the coupon (in dollars), and the yield to maturity. O A. B. O C. O D. 700 = 700 = 700 = 700 = 110 110 9 (1+i)⁹ (1+i)⁹+1 + 110 + i) ⁹ + 1 (1 + 1,000 (1+i) 29-9 1,000 (1 + i) 9 +29 + +...+ 110 (1+i) 9+2 + 110 (1 + i)9+29-1 110 + (1 + i) ⁹ + 110 (1+i)9 +29 9+29-1 + 110 (1 + i)9 +29 + 1,000 (1+i) 9+29
Bond J has a coupon rate of 4.2 percent. Bond K has a coupon rate of 14.2 percent. Both bonds have ten years to maturity, a par value of $1,000, and a YTM of 9.4 percent, and both make semiannual payments. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. Percentage change in price b. Percentage change in price Bond J % % Bond K do do % %
Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 7 percent, has a YTM of 5 percent, and has 13 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 5 percent, has a YTM of 7 percent, and also has 13 years to maturity. The bonds have a $1,000 par value. What is the price of each bond today? If interest rates remain unchanged, what do you expect the price of these bonds to be one year from now? In four years? In nine years? In 11 years? In 13 years?
Suppose that the term structure of interest rates is: Interest rates are annual interest rates that are semi-annually compounded. Calculate the price and modified duration of a 1 -year bond with a 6% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 Calculate the price and modified duration of a 2 -year bond with a 10% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 Compare your results from 1 and 2 above. Which bond is more sensitive to changes in interest rates?
Let's denote the price of a nonmaturing bond (called a consol) as P. The equation that indicates this price is Pn =-, where I is the annual net income the bond generates and r is the nominal market interest rate. a. Suppose that a bond promises the holder $200 per year forever. The nominal market interest rate is 6 percent. Calculate the bond's current price: S. (Round your answer to the nearest whole dollar.)

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