a. Assuming that the expectations hypothesis is valid, compute the price of the four-year bond shown below at the end of (i) the first year; (ii) the second year, (ii) the third year; (iv) the fourth year. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Beginning of Year Price of Bond Expected Price 983.40 918.47 1 2 $ 3 $ 867.62 4 2$ 774.16 b. What is the rate of return of the bond in years 1, 2, 3, and 4? Conclude that the expected return equals the forward rate for each year. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Beginning of Year Expected Rate of Return 1 % 2 3 % 4.

a. Assuming that the expectations hypothesis is valid, compute the price of the four-year bond shown below at the end of (i) the first year; (ii) the second year, (ii) the third year; (iv) the fourth year. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Beginning of Year Price of Bond Expected Price 983.40 918.47 1 2 $ 3 $ 867.62 4 2$ 774.16 b. What is the rate of return of the bond in years 1, 2, 3, and 4? Conclude that the expected return equals the forward rate for each year. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Beginning of Year Expected Rate of Return 1 % 2 3 % 4.

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

See similar textbooks

Similar questions

The interest rate on one-year Treasury bonds is 0.8 percent, the rate on two-year T-bonds is 0.9 percent, and the rate on three-year T-bonds is 1.0 percent. Using the expectations theory, compute the expected one-year interest rate in the second year (Year 2 only). Round your answer to one decimal place. % Using the expectations theory, compute the expected one-year interest rate in the third year (Year 3 only). Round your answer to one decimal place. %
Consider the following $1,000 par value zero-coupon bonds: Bond Maturity A 1 BU C D Years until Yield to Interest rate 2 3 Maturity (years) 1 2 3 4 Maturity 8.00% 9.00 9.50 10.00 Required: a. According to the expectations hypothesis, what is the market's expectation of the one-year interest rate three years from now? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What are the expected values of next year's yields on bonds with maturities of (a) 1 year; (b) 2 years; (c) 3 years? (Do not round intermediate calculations. Round your answer to 2 decimal places.) YTM Check my work % % % %
Today, interest rates on 1-year T-bonds yield 1.7%, interest rates on 2-year T-bonds yield 2.5%, and interest rates on 3-year T-bonds yield 3.7%.a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.
A 2-year maturity bond with face value of $1,000 makes annual coupon payments of $88 and is selling at face value. What will be the rate of return on the bond if its yield to maturity at the end of the year is: Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. a. 6% b. 8.8% c. 10.8% Rate of Return % % %
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.
A newly issued bond pays its coupons once a year. Its coupon rate is 4.7%, its maturity is 15 years, and its yield to maturity is 7.7%. a. Find the holding-period return for a one-year investment period if the bond is selling at a yield to maturity of 6.7% by the end of the year. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Holding-period return % b. If you sell the bond after one year when its yield is 6.7%, what taxes will you owe if the tax rate on interest income is 40% and the tax rate on capital gains income is 30%? The bond is subject to original-issue discount (OID) tax treatment. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Tax on interest income $ Tax on capital gain $ Total taxes $ c. What is the after-tax holding-period return on the bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.)…
Calculate the value of a 2-year 3.5% annual pay bond given the interest rate below. What is the implied 3-year spot rate? Time Period Forward Rate z1 0.80% 1f1 1.12% 1f2 3.94% 1f3 3.28% 1f4 3.14%
A 2-year maturity bond with face value of $1,000 makes annual coupon payments of $116 and is selling at face value. What will be rate of return on the bond if its yield to maturity at the end of the year is: Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. a. 6% b. 11.6% c. 13.6% Rate of Return % % %
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%
1
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.