Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM 1 0.00% 2.587% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. 2 11.00% 4.008% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is%. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is %. (Round to two decimal places.) Which graph best depicts the yield curve of the zero-coupon bonds? (Select the best choice below.) 3 5.00% 5.514% 4 15.00% 6.176%

Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM 1 0.00% 2.587% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. 2 11.00% 4.008% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is%. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is %. (Round to two decimal places.) Which graph best depicts the yield curve of the zero-coupon bonds? (Select the best choice below.) 3 5.00% 5.514% 4 15.00% 6.176%

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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Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) 1 Coupon rate (annual payments) 0.00 YTM 2.000% 2 10.00 3.908% Show your work in Excel Solution. 3 6.00 5.840% 4 12.00 5.783% a. Use arbitrage to determine the yield to maturity of a two-year, zero- coupon bond. b. What is the zero-coupon yield curve for years 1 through 4?
Assume the pure expectation theory holds: If the return on 6 years maturity treasury bill (TB) is 8%, the return on 1-year maturity TB is 6%, the return on a 2 years maturity (TB) is 7%, X is the return on a 3-year maturity bond. a. Calculate X, the forward rate, the return on a 3-year maturity bond, 3 years from today. b. Graph the yield curve c. Based on the yield curve you just derived, what are your expectations of the future performance of the economy?
Suppose that yield rates on zero coupon bonds are currently 26 for a one-year maturity, 3% for a two-year maturity and 4.% for a three-year maturity (all effective annual rates). Suppose that someone is willing to borrow money from you starting one year from now to be repaid three years from now at an effective annual interest rate of 6.5146438635186%. Construct a transaction in which an arbitrage gain can be obtained. What is your positive net gain for net investment of 0? (net cashflow at t-3) 01345 One possible correct answer is: 0.030250290387703
1. Consider the following bond that pays coupon interest semi-annually. Coupon Yield to maturity Maturity (Years) Par Value Bond 8% 6% 2 $100 a) What is the price value of a basis point? Assuming one basis point decrease. b) Compute the Macaulay duration theoretically. What is the modified duration? c) Compute the approximate duration by increasing yield by 20 basis points and compare your answers with those calculated in part (b). d) Compute the convexity measure theoretically. e) When the yield increases by 20 basis points, what is the new bond price? What is the estimated bond price using duration calculated in part (b)? What is the estimated bond price using duration calculated in part (b) together with the convexity calculated in part (d)?
Suppose 2-year Treasury bonds yield 4.1%,while 1-year bonds yield 3.2%. r* is 1%, and the maturity risk premium is zero.a. Using the expectations theory, what is the yield on a 1-year bond, 1 year from now?Calculate the yield using a geometric average.b. What is the expected inflation rate in Year 1? Year 2?
Assume that the real risk-free rate is 2% and that the maturityrisk premium is zero. If a 1-year Treasury bond yield is 5% and a 2-year Treasury bondyields 7%, what is the 1-year interest rate that is expected for Year 2? Calculate this yieldusing a geometric average. What inflation rate is expected during Year 2? Comment onwhy the average interest rate during the 2-year period differs from the 1-year interestrate expected for Year 2.
Assume the Liquidity Premium Theory of the Term Structure of Interest Rates holds. The WSJ quotes 0.25% annual yield on a one-year T-note and 0.5% annual yield on a two-year T-note. Suppose the annual yield on a one-year T-note is expected to stay at 0.25% over the next 2 years. What must be the liquidity premium on a two-year T-note?
Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $983.78 865.89 797.92 732.00 660.24 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4?
You observe the following term structure: Effective Annual YTM 1-year zero-coupon bond 2-year zero-coupon bond 3-year zero-coupon bond 4-year zero-coupon bond 8.1% 8.2 8.3 8.4 a. If you believe that the term structure next year will be the same as today's, calculate the return on (i) the 1-year zero and (1i) the 4-year zero. (Do not round intermediate calculations. Round your answers to 1 decimal place.) One year return on 1-year bond One year return on 4-year bonds % % b. Which bond provides a greater expected 1-year return? O 1-year zero-coupon bond O 4-year zero-coupon bond
1. Consider a real return bond with a face value of $15,000 and a coupon yield of 5.2%. What is the coupon payment after one year if the inflation rate is 6.8%? Select one: a) $817.44 b) $833.04 c) $825.24 d) $809.64 I
Draw the yield curve described as follows: • Interest rates: 2% in year 1; 2.5% in year 2; 3% in year 3; 4.5% in year 4. • Term premiums: 0.75% for a one-year bond, rising by 0.25% for each additional year of maturity. What does this yield curve suggest is the predominant short to medium-term economic outlook among market participants?
The current yield curve for default-free zero-coupon bonds is as follows: Maturity (Years) 1 YTM (%) 6% 7 9 2 3 Required: a. What are the implied 1-year forward rates? b. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will be the yield to maturity on 1-year zero-coupon bonds next year? c. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will be the yield to maturity on 2-year zero-coupon bonds next year? d. If you purchase a 2-year zero-coupon bond now, what is the expected total rate of return over the next year? Ignore taxes. e. What is the expected total rate of return over the next year on a 3-year zero-coupon bond? f. What should be the current price of a 3-year maturity bond with a 9% coupon rate paid annually? g. If you purchased the coupon bond at the price you computed in part (f), what would your total expected rate of return be…

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