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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Zero-Coupon Bonds (ZCBS) with maturity in 1 and 5 years are available on the market. Their redemption value is £100, and they sell for £90 (1-year ZCB) and £84 (5-year ZCB). Find the spot rates corresponding to the ZCBs' prices 数字 i1 = % i5 数字 Enter a percentage correct to 2 decimal places % Calculate the forward rate 1,5 i1,5 数字 Enter a percentage correct to 2 decimal places %
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
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
Find the duration of a bond with a settlement date of May 27, 2023, and maturity date November 15, 2034. The coupon rate of the bond is 8.5%, and the bond pays coupons semiannually. The bond is selling at a bond-equivalent yield to maturity of 10.0%. Use Spreadsheet 16.2. (Do not round intermediate calculations. Round your answers to 4 decimal places.) Macaulay duration Modified duration
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.
Caiculate the purchase price of the $1,000 face value bond using the information given below. (Do not round the intermediate calculations. Round your final answer to 2 decimal places.) Issue date Dec 15, 1991 Maturity date Dec 15, 2026 Purchase date ১une 15, 2013 Coupon rate (XY 5.50 Market rate (X). 7,4 Assume that • Bond interest is paid semiannually. • The bond was originally issued at its face value. • Bonds are redeemed at their face value at maturity • Market rates of return are compounded semiannually Bond price
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.

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