a. Assuming that the expectations hypothesis is valid, compute the expected price of the four-year zero coupon bond below at thestart of (1) the first year; (II) the second year; (III) the third year; (IV) the fourth year. (Do not round Intermediate calculations. Round youranswers to 2 decimal places.)BeginningPrice of Bondof YearExpected Price1S940.902S923.473S872.624S769.66b. What is the rate of return of the zero bond in years 1, 2, 3, and 4? Conclude that the expected return equals the forward rate for eachyear. (Do not round Intermediate calculations. Round your answers to 2 decimal places.)Expected Rate ofBeginningof YearReturn1%2%3%4%

Answer image: Formulas Used:(b) beginning yearPrice of BondYield RateExpected ReturnForward…

Answered: a. Assuming that the expectations…

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 function s(t) = 0.16 − 0.04 e− t/4 provides the term structure of effective annual rates of zero coupon bonds of maturity t, with t in years. Find the following: (a) The effective annual rate of a 3 year zero coupon bond. (b) The 2-year forward effective annual rate for a one year period. (c) The forward effective annual rate for a one year period, 3 years forward. (d) The 3-year forward effective annual rate for a 3 month period. (e) The forward effective annual rate for a one day period, 3 years forward (the “overnight” rate).(Use 1/365 for a one-day period.)
Assume the zero-coupon yields on default-free securities are as summarized in the following table: 3 years 4 years 5 years Maturity 1 year 2 years 7.00% 7.30% 6.20% 6.50% 6.70% Zero-Coupon Yields What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? Why? What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? (Select the best choice below.) O A. One year В. Тwo years C. Three years D. Four years E. Five years
3. The following is a list of prices for zero-coupon bonds with different maturities and par value of $1,000. Suppose the interest rate is compounded once per year. Maturity (Years) Price ($) 970 960 910 870 1 2 3 4 Answer the following questions: (a) What is, according to the expectations theory, the one-year interest rate in the second year? (b) What is, according to the expectations theory, the one-year interest rate in the third year? (c) What is, according to the expectations theory, the one-year interest rate in the forth year?
The yield curve for default-free zero-coupon bonds is currently as follows: Maturity (years) YTM 1 9.8% 2 10.8 3 11.8 Required: a. What are the implied one-year forward rates? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Maturity (years) YTM Forward rate 1 9.8% 2 3 10.8% 11.8% % % b. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will the pure yield curve (that is, the yields to maturity on one- and two-year zero-coupon bonds) be next year? O There will be a shift upwards in next year's curve. O There will be a shift downwards in next year's curve. O There will be no change in next year's curve. c. What will be the yield to maturity on two-year zeros? (Do not round intermediate calculations. Round your answers to 2 decimal places.) YTM % d. If you purchase a two-year zero-coupon bond now, what is the expected total rate of return over the next year? (Hint: Compute the current…
You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 5.952 6.133 Maturity Month/Year May 31 May 34 May 40 Bid Asked 103.4534 103.5262 104.4874 104.6331 ?? ?? Change Ask Yield +.3222 +.4221 +.5327 5.879 ?? 3.911 In the above table, find the Treasury bond that matures in May 2034. What is your yield to maturity if you buy this bond? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. Yield to maturity %
Question Suppose that the zero-coupon bond prices for one-year, two-year, three-year of maturities are given by 0.97 , 0.92 ,0.88 , respectively. Assume that the bond price has volatility 0.1. Calculate the price of a one-year, European call option on a zero-coupon bond that matures at time 3 (year) with strike price 0.99.
You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 6.052 6.143 Maturity Month/Year Bid Asked Change May 33 May 36 May 42 103.4560 103.5288 104.4900 104.6357 ?? ?? +.3248 Ask Yield 5.919 +.4245 +.5353 ?? 3.951 In the above table, find the Treasury bond that matures in May 2036. What is your yield to maturity if you buy this bond? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. Yield to maturity %
You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 6.252 6.163 Maturity Month/Year May 36 May 41 May 51 Bid 103.5462 104.4952 ?? Asked 103.6340 104.6409 ?? Change Ask Yield +.3015 2.329 +.4293 +.5405 ?? 4.031 In the above table, find the Treasury bond that matures in May 2036. What is the coupon rate for this bond? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.
am. 11.
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%
Manshuk
In calculating the current price of a bond paying semiannual coupons, one needs to O use double the number of years for the number of payments made. O use the semiannual coupon. O use the semiannual rate as the discount rate. O All of the above needs to be done.

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