Required:a. Assuming that the expectations hypothesis is valid, compute the expected price of the four-year zero coupon bond shown below atthe end of (i) the first year; (ii) the second year; (iii) the third year; (iv) the fourth year.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 eachyear.Complete this question by entering your answers in the tabs below.Required A Required BAssuming that the expectations hypothesis is valid, compute the expected price of the four-year zero coupon bond shownbelow at the end of (i) the first year; (ii) the second year; (iii) the third year; (iv) the fourth year.Note: Do not round intermediate calculations. Round your answers to 2 decimal places.BeginningPrice of Bondof YearExpected Price1$935.902$906.473$837.124$775.39Required ARequired B >B

1. Expected Price Calculation:. The formula used to calculate the expected price of a zero coupon…

Answered: Required: a. Assuming that the…

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter4: Bond Valuation

Section: Chapter Questions

Problem 3Q: The rate of return on a bond held to its maturity date is called the bonds yield to maturity. If...

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What is the stand-alone risk? Use the scenario data to calculate the standard deviation of the bonds return for the next year.
d Required: a. Assuming that the expectations hypothesis is valid, compute the expected price of the four-year zero coupon bond shown below at the end of (i) the first year; (ii) the second year; (iii) the third year; (iv) the fourth year. 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. Complete this question by entering your answers in the tabs below. Required A Required B Assuming that the expectations hypothesis is valid, compute the expected price of the four-year zero coupon bond shown below at the end of (i) the first year; (ii) the second year; (iii) the third year; (iv) the fourth year. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Beginning of Year 1 2 3 4 Price of Bond 948.40 921.47 832.62 781.99 $ $ GA $ $ Expected Price $ $ $ 1,150.22 X 1,144.95 X 965.60 x 937.47
Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM 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. 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.) %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is Which graph best depicts the yield curve of the zero-coupon bonds? (Select the best choice below.) O A. 8- 7- 6-…
Suppose that the yield curve shows that the one-year bond yield is 8 percent, the two-year yield is 7 percent, and the three-year yield is 7 percent. Assume that the risk premium on the one-year bond is zero, the risk premium on the two-year bond is 1 percent, and the risk premium on the three-year bond is 2 percent. a. What are the expected one-year interest rates next year and the following year? The expected one-year interest rate next year = The expected one-year interest rate the following year b. If the risk premiums were all zero, as in the expectations hypothesis, what would the slope of the yield curve be? The slope of the yield curve would be (Click to select) % %
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 the interest rate on one-year bonds is currently 4 percent and is expected to be 5 percent in one year and 6 percent in two years. Using the expectations hypothesis, compute the yields on two- and three-year bonds and plot the yield curve.
Suppose we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year—E(2r1)—to be 4 percent, and the expected one-year rate the following year—E(3r1)—to be 6 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year Treasury security rate, 1R1?
Suppose we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year—E(2r1)—to be 4 percent, and the expected one-year rate the following year—E(3r1)—to be 6 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year Treasury security rate, 1R1? (Round your answer to 2 decimal places.)
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?
Suppose the interest rate on a 1-year T-bond is 6.3 % and that on a 3 year T-bond is 7.3 %. Assuming the pure expectations theory is correct, what is the market's forecast for 2-year rates 1 year from now? Enter your answer as a percentage and do not use the % symbol.
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.
Suppose that y is the yield on a perpetual government bond that pays interest at the rate of $1 per annum. Assume that y is expressed with simply com- pounding, that interest is paid annually on the bond, and that y follows the process dy = a(y0 −y)dt + oydWt, where a, y0, and o are positive constants and dWt is a Wiener process. (a) What is the process followed by the bond price? (b) What is the expected instantaneous return (including interest and capital gains) to the holder of the bond?

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