3.5 The following table gives the prices of four bonds. Bond # Bond Principal ($) 1 100 2 100 3 100 4 100 *: Half of the stated coupon is paid every six months. (a) Calculate the zero rates for maturities of 6 months, 12 months, 18 months, and 24 months. (b) What are the forward rates for the 6-month periods: months 7 to 12, months 13 to 18, months 19 to 24? (c) What are the 6-month, 12-month, 18-month, and 24-month par yields for bonds that provide semiannual coupon payments? (d) Estimate the price and yield a two-year bond providing a semiannual coupon of 7% per annum. Time to Maturity (years) 0.5 1.0 1.5 2.0 Annual Coupon ($)* 0.0 0.0 6.2 8.0 Bond Price ($) 98 95 101 104

3.5 The following table gives the prices of four bonds. Bond # Bond Principal ($) 1 100 2 100 3 100 4 100 : Half of the stated coupon is paid every six months. (a) Calculate the zero rates for maturities of 6 months, 12 months, 18 months, and 24 months. (b) What are the forward rates for the 6-month periods: months 7 to 12, months 13 to 18, months 19 to 24? (c) What are the 6-month, 12-month, 18-month, and 24-month par yields for bonds that provide semiannual coupon payments? (d) Estimate the price and yield a two-year bond providing a semiannual coupon of 7% per annum. Time to Maturity (years) 0.5 1.0 1.5 2.0 Annual Coupon ($) 0.0 0.0 6.2 8.0 Bond Price ($) 98 95 101 104

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 following is a list of prices for zero-coupon bonds of various maturities. Maturity (years) 1 2 Price of Bond $ 930.00 902.97 3 4 829.62 772.99 Required: a. Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. Assume annual coupon payments. b. Calculate the forward rate for (i) the second year; (ii) the third year; (iii) the fourth year. Assume annual coupon payments. Complete this question by entering your answers in the tabs below. Required A Required B Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. Assume annual coupon payments. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Maturity (Years) Price of Bond YTM 1 $ 930.00 % 2 $ 902.97 % 3 $ 829.62 % 4 $ 772.99 %
Calculate the total annual interest, total cost, and current yield for the bond. (Round the "Current yield" to the nearest tenth percent and other answers to the nearest whole dollar.) Number of bonds Total annual Bond Selling price Total cost Current yield purchased interest Wang 6 1/2% 26 4. 68.125 % 96 Prev 9 of 18 Next > M
4. A 5-year bond (denote this as Bond A) with semiannual coupons has a face value of $1,000 and a coupon rate of 6%. The bond is redeemable at 125% of the face value at maturity, and is currently selling for $1,015. Assume the next coupon is due six months from now. (a) Using linear interpolation with end points being 9% and 10%, approximate the bond's effective annual yield. (b) Another 5-year bond (denote this as Bond B) pays annual coupons and has the same face value, coupon rate, redemption value and yield as Bond A. Which bond has a larger duration? Explain your answer.
3. The cash prices of 6-month and 1-year Treasury bills are 94.0 and 89.0. A 1.5-year bond that will pay coupons of $4 every 6 months currently sells for $94.84. A 2-year bond that will pay coupons of $5 every 6 months currently sells for $97.12. Calculate the 6-month, 1-year, 1.5-year, and 2-year zero rates.
Bond A has the following terms: Coupon rate of interest (paid annually): 12 percent Principal: $1,000 Term to maturity: Ten years Bond B has the following terms: Coupon rate of interest (paid annually): 6 percent Principal: $1,000 Term to maturity: Ten years What should be the price of each bond if interest rate is 12 percent? Use Appendix B and Appendix D to answer the question. Round your answers to the nearest dollar.Price of bond A: $ Price of bond B: $ What will be the price of each bond if, after four years have elapsed, interest rate is 12 percent? Use Appendix B and Appendix D to answer the question. Round your answers to the nearest dollar.Price of bond A: $ Price of bond B: $ What will be the price of each bond if, after ten years have elapsed, interest rate is 9 percent? Use Appendix B and Appendix D to answer the question. Round your answers to the nearest dollar.Price of bond A: $ Price of bond B: $
1. What is the yield to maturity on the following bonds; all have a maturity of 10 years, a face value of 2000, and a coupon rate of 4 percent (paid semiannually). The bond's current prices are: a. $1,180 b. $ 2,400 c. Explain the relationship between yield to maturity and bond prices.
You have the following information regarding the bond ABC. Semiannual $25 payments YTM 8% Maturity (in 4. years) Par value $1,000 Let's assume the modified duration of this bond is 4. Based on this assumption and using the modified duration, estimate the price of the bond after a 65-basis-point decrease in interest rates.
Refer to Table 10-2. a. Assume the interest rate in the market (yield to maturity) goes down to 8 percent for the 10 percent bonds. Using column 2, indicate what the bond price will be with a 10-year, a 20-year, and a 25-year time period. b. Assume the interest rate in the market (yield to maturity) goes up to 12 percent for the 10 percent bonds. Using column 3, indicate what the bond price will be with a 10-year, a 20-year, and a 25-year period. c. Assume the interest rate in the market (yield to maturity) goes down to 8 percent for the 10 percent bonds. If interest rates in the market are going down, which bond would you choose to own? multiple choice 1 10 Years 20 Years 25 Years d. Assume the interest rate in the market (yield to maturity) goes up to 12 percent for the 10 percent bonds. If interest rates in the market are going up, which bond would you choose to own? multiple choice 2 10 Years 20 Years 25 Years
Bond A has the following terms: Coupon rate of interest (paid annually): 12 percent Principal: $1,000 Term to maturity: Ten years Bond B has the following terms: Coupon rate of interest (paid annually): 6 percent Principal: $1,000 Term to maturity: Ten years What should be the price of each bond if interest rate is 12 percent? Use Appendix B and Appendix D to answer the question. Round your answers to the nearest dollar.Price of bond A: $ Price of bond B: $ What will be the price of each bond if, after three years have elapsed, interest rate is 12 percent? Use Appendix B and Appendix D to answer the question. Round your answers to the nearest dollar.Price of bond A: $ Price of bond B: $ What will be the price of each bond if, after ten years have elapsed, interest rate is 9 percent? Use Appendix B and Appendix D to answer the question. Round your answers to the nearest dollar.Price of bond A: $ Price of bond B: $
42. A bond pays 9% yearly interest in semi-annual payments for 6years. The current yield on similar bonds is 12%. To determinethe market value of this bond, you musta. find the interest factors (IFs) for 12 periods at 12%.b. find the interest factors (IFs) for 6 periods at 9%.c. find the interest factors (IFs) for 6 periods at 6%.d. find the interest factors (IFs) for 12 periods at 6%.43. What is the approximate yield to maturity for a seven-year bondthat pays 11% interest on a $1000 face value annually if thebond sells for $952a. 10.5%b. 10.6%c. 11.5%d. 12.1%44. A ten-year bond pays 11% interest on a $1000 face valueannually. If it currently sells for $1,195, what is itsapproximate yield to maturity?a. 9.33%b. 7.94%c. 12.66%d. 8.10%
(Related to Checkpoint 9.2) (Yield to maturity) The Saleemi Corporation's $1,000 bonds pay 7 percent interest annually and have 9 years until maturity. You can purchase the bond for $885. a. What is the yield to maturity on this bond? b. Should you purchase the bond if the yield to maturity on a comparable-risk bond is 10 percent? a. The yield to maturity on the Saleemi bonds is %. (Round to two decimal places.)
A 10-year bond with a face value of $1,000 has a coupon rate of 9.0%, with semiannual payments. a. What is the coupon payment for this bond? b. Enter the cash flows for the bond on a timeline. a. What is the coupon payment for this bond? The coupon payment for this bond is $ every six months. (Round to the nearest cent.)

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