Prices of zero-coupon bonds reveal the following pattern of forward rates: Year 1 2 3 Forward Rate 4% 5 6 In addition to the zero-coupon bond, investors also may purchase a 3-year bond making annual payments of $40 with par value $1,000. Required: a. What is the price of the coupon bond? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. What is the yield to maturity of the coupon bond? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. Under the expectations hypothesis, what is the expected realized compound yield of the coupon bond? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. d. If you forecast that the yield curve in 1 year will be flat at 5.5%, what is your forecast for the expected rate of return on the coupon bond for the 1-year holding period? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. a. Price b. Yield to maturity c. Realized compound yield d. Holding period return % % %

Prices of zero-coupon bonds reveal the following pattern of forward rates: Year 1 2 3 Forward Rate 4% 5 6 In addition to the zero-coupon bond, investors also may purchase a 3-year bond making annual payments of $40 with par value $1,000. Required: a. What is the price of the coupon bond? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. What is the yield to maturity of the coupon bond? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. Under the expectations hypothesis, what is the expected realized compound yield of the coupon bond? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. d. If you forecast that the yield curve in 1 year will be flat at 5.5%, what is your forecast for the expected rate of return on the coupon bond for the 1-year holding period? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. a. Price b. Yield to maturity c. Realized compound yield d. Holding period return % % %

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 information about bonds A, B, C, and D are given. Assume that bond prices admit noarbitrage opportunities. What is the convexity of Bond D?Cash Flow at the end ofBond Price Year 1 Year 2 Year 3A 91 100 0 0B 86 0 100 0C 78 0 0 100D ? 5 5 105
Calculate the purchase price of the following bonds. Indicate whether the bonds are priced at a discount, at par or at a premium. Give your answers in dollars and cents to the nearest cent. Face Value Coupon Rate Years to Maturity Market Rate a) $100 r = 6.75% 5 j2 = 6.75% b) $1,000 r = 8% 11 j2 = 6.25% c) $10,000 r = 7% 20 j2 = 8.75% Quoted coupon rates and market rates are nominal annual rates compounded semi-annually. a)Price = $ This bond is priced at:a discountpara premium b)Price = $ This bond is priced at:a discountpara premium c)Price = $ This bond is priced at:a discountpara premium
Do not use excel, use formulas to compute the question You have two bonds, Bond A and bond B: A 3-year zero-coupon bond with face value of $1,000 with a yield-to-maturity of 4%. A 6-year bond with an annual coupon payment C (to be paid out starting a year from now), a face value of $1,000 and yield-to-maturity of 5%. Assume that compounding takes place annually. If the price of Bond A is equal to the price of Bond B, what is the value of Bond B’s coupon payments (C)?
The prices of zero-coupon bonds with various maturities are given: maturity in years price 1 975.66 2 885.89 3 821.92 4 759.20 5 670.20 A) How could you construct a 1-year forward loan beginning in year 3? face value = ? rate of synthetic loan = ? B) How could you construct a 1-year forward loan beginning in year 4? face value = ? rate of synthetic loan = ?
What are the Modified Duration and Macaulay Duration of the following bond? Coupon Rate = 8% (Semi-annually paid) YTM = 9% Maturity = 2 Years Par Value = 1,000 (Hint: this question is similar to Example 1 and Example 2 on slides) ModD = 1.886 and MacD = 1.805 ModD = 1.784 and MacD = 1.954 ModD = 1.954 and MacD = 1.784 ModD = 1.805 and MacD = 1.886
Suppose 1-year Treasury bonds yield 4.40% while 2-year T-bonds yield 5.70%. Assuming the pure expectations theory is correct, and thus the maturity risk premium for T-bonds is zero, what is the yield on a 1-year T-bond expected to be one year from now? Do not round your intermediate calculations. Round your final answer to 2 decimal places. a. 7.02% b. 5.66% c. 5.05% Od. 4.92% e. 7.32%
You are given the following prices of zero coupon bonds per $1.00 of maturity value: Term in years 1 2 3 4 Zero-coupon bond prices 0.9852 0.9701 0.9546 0.9388 Determine the one-year forward rate for year 4 (ie, the one-year forward rate deferred for 3 years. a) 1.629% b) 1.526% c) 1.572% d) 1.729% e) 1.683%
Question Given the following information about a bond, calculate the modified duration of the bond. i) The term-to-maturity is two years. ii) Coupons are payable annually at 5%. iii) The bond is trading at par. Possible Answers A B D 1.859 с 1.928 E 1.881 1.952 Cannot be determined since the yield rate i is not provided.
Please show working Please answer ALL OF QUESTIONS 1 AND 2 1. A 7% semiannual coupon bond matures in 6 years. The bond has a face value of $1,000 and a current yield of 7.5219%.a. What is the bond's price? Do not round intermediate calculations. Round your answer to the nearest cent.b. What is the bond's YTM? (Hint: Refer to Footnote 6 for the definition of the current yield and to Table 7.1) Do not round intermediate calculations. Round your answers to two decimal places. 2. Nesmith Corporation's outstanding bonds have a $1,000 par value, a 7% semiannual coupon, 18 years to maturity, and a 9% YTM. What is the bond's price? Round your answer to the nearest cent.
7. Given the two bonds below, answer the following questions. Bond Bond A Coupon Rate B 5% Par/Face/Princ $1000 Years to Maturity 2 5% $1000 a. If the Yield to maturity of the two bonds is 5%, what is the price of both bonds. b. Find the Modified Duration of both bonds. c. Find the Modified Convexity of both bonds. d. Estimate the price of bond B using the Tayor Series Expansion if interest rates rise to 6% for the Yield to Maturity. 3
Using semiannual compounding, find the prices of the following bonds: a. A 9.4%, 15-year bond priced to yield 7.2%. b. A 7.3%, 10-year bond priced to yield 9.5%. c. A 12.8%, 20-year bond priced at 10.6%. Repeat the problem using annual compounding. Then comment on the differences you found in the prices of the bonds. a1. Using semiannual compounding, the price of the bond is $. (Round to the nearest cent.) b1. Using semiannual compounding, the price of the bond is $. (Round to the nearest cent.) c1. Using semiannual compounding, the price of the bond is $. (Round to the nearest cent.) a2. Using annual compounding, the price of the bond is $ b2. Using annual compounding, the price of the bond is $ c2. Using annual compounding, the price of the bond is $. (Round to the nearest cent.) Comment on the differences you found in the prices of the bonds. (Select the best answer below.) (Round to the nearest cent.) (Round to the nearest cent.) Bonds selling at a premium sell at lower prices when…
Need help with C Approximate yield to maturity An investor must choose between two bonds: Bond A pays $90 annual interest and has a market value of $815. It has 15 years to maturity. Bond B pays $81 annual interest and has a market value of $700. It has eight years to maturity. Assume the par value of the bonds is $1,000. a. Compute the current yield on both bonds. (Do not round intermediate calculations. Input your answers as a percent rounded to 2 decimal places.) Current Yield Bond A11.04% Bond B11.57% c. A drawback of current yield is that it does not consider the total life of the bond. For example, the approximate yield to maturity on Bond A is 11.51 percent. What is the approximate yield to maturity on Bond B? The exact yield to maturity? (Use the approximation formula to compute the approximate yield to maturity and use the calculator method to compute the exact yield to maturity. Do not round intermediate calculations. Input your answers as a percent rounded to 2…

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