On March 11, 20XX, the existing or current (spot) 1-, 2-, 3-, and 4-year zero coupon Treasury security rates were as follows: 1R₁ = 0.75%, 1R2 = 1.35%, 1R3 = 1.75%, 1R4 = 1.90% Using the unblased expectations theory, calculate the 1-year forward rates on zero coupon Treasury bonds for years 2, 3, and 4 as of March 11, 20XX. (Do not round Intermediate calculations and round your answers to 2 decimal places.) Years Forward rates 2 B 234

On March 11, 20XX, the existing or current (spot) 1-, 2-, 3-, and 4-year zero coupon Treasury security rates were as follows: 1R₁ = 0.75%, 1R2 = 1.35%, 1R3 = 1.75%, 1R4 = 1.90% Using the unblased expectations theory, calculate the 1-year forward rates on zero coupon Treasury bonds for years 2, 3, and 4 as of March 11, 20XX. (Do not round Intermediate calculations and round your answers to 2 decimal places.) Years Forward rates 2 B 234

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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On Jan 15, 20XX, the existing or current (spot) one-year, two-year, three-year, and four-year zero-coupon Treasury security rates were as follows: R1= 5.25%, R2 = 5.50%, R3 = 5.75%, R4 = 6.25% Calculate the one-year forward rates on zero-coupon Treasury bonds for years two, three, and four as of Jan 15, 20XX.
On March 11, the existing or current (spot) 1-, 2-, 3-, and 4-year zero-coupon Treasury security rates were as follows:1R1 = 0.75%, 1R2 = 1.35%, 1R3 = 1.75%, 1R4 = 1.90%Using the unbiased expectations theory, calculate the 1-year forward rates on zero-coupon Treasury bonds for years 2, 3, and 4 as of March 11. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Years Forward rates 2 % 3 % 4 %
Suppose that the current one-year rate (one-year spot rate) and expected one-year government bonds over years 2, 3 and 4 are as follows: 1R₁ = 4.80%, E(2r₁) = 5.45%, E(3r₁) = 5.95%, E(41) = 6.10% Assume that there are no liquidity premiums. To the nearest basis point, what is the current rate for the four-year-maturity government bond? A. 5.57% B. 5.62% C. 5.83% D. 6.10%
Suppose that the current one-year rate (one-year spot rate) and expected one-year government bonds over years 2, 3 and 4 are as follows: 1R1 = 4.80%, E(2r1) = 5.45%, E(3r1) = 5.95%, E(4r1) = 6.10% Assume that there are no liquidity premiums. To the nearest basis point, what is the current rate for the four-year-maturity government bond? 5.57% 5.62% 5.83% 6.10%
Suppose that the current three-year rate (three-year spot rate) and expected one- year T-bill rates over the following years are as follows: 1 R3 = 12% E(271) = 8% E(371) = 10% Using the unbiased expectations theory, calculate the current rates for one- and two-year maturity Treasury securities, i.e., 1 R₁ and 1 R2. Convert your answers to percentages. 1R1 = 17.39%; 1R2 = 12.56% O 1R1 = 20.73; 1R2 = 11.49% O 1R1 = 18.26%; 1R2 = 13.01% O 1R1 = 19.52; 1R2 = 14.74%
The following is a list of prices for zero-coupon bonds of various maturities. a. Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. Assume annual coupon payments. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Price of Bond YTM Maturity (Years) 1 978.43 2.20 % 2 924.97 % 3 840.12 % 4 $ 784.39 % b. Calculate the forward rate for (i) the second year; (ii) the third year; (iii) the fourth year. Assume annual coupon payments. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Price of Bond Maturity (years) 1 $ 978.43 2 924.97 840.12 784.39 Maturity (Years) Price of Bond Forward Rate 2 % 3 % 4 % AWN 3 4 $ $ GA $ $ $ SA 924.97 840.12 784.39
The following is a list of prices for zero-coupon bonds of various maturities. a. Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. Assume annual coupon payments. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Maturity (Years) Price of Bond YTM 1 $ 943.40 % 2 $ 898.47 % $ 847.62 % $ 792.16 % b. Calculate the forward rate for (i) the second year; (ii) the third year; (iii) the fourth year. Assume annual coupon payments. (Do not round intermediate calculations. Round your answers to the nearest whole percent.) Maturity (years) Price of Bond 1 $943.40 898.47 847.62 792.16 Maturity (Years) Price of Bond Forward Rate $ 898.47 % 3 $ 847.62 % 4 $ 792.16
The interest rate on one-year Treasury bonds is 0.4 percent, the rate on two-year T-bonds is 0.8 percent, and the rate on three-year T-bonds is 1.1 percent. Using the expectations theory, compute the expected one-year interest rates in (a) the second year (Year 2 only) and (b) the third year (year 3 only).
The following table is the current term structure of interest rates based on $1,000 par value zero-coupon bonds.( full process) Bonds Years to Maturity Yield to Maturity (%) A 1 6.00 B 2 7.50 C 3 7.99 D 4 8.49 (a) According to the expectations hypothesis, what is the expected 1-year interest rate 1 year from now in terms of the current term structure of interest rates? (b) According to the liquidity preference theory, is the expected 1-year interest rate 1 year from now higher or lower than the one obtained in (a)? Explain your answer. (c) At what price should Bond C sell for two years from now based on the implied forward interest rates derived from the current term structure of interest rates?
The following is a list of prices for zero-coupon bonds of various maturities. a. Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. Assume annual coupon payments. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Maturity (Years) 1 2 3 4 Maturity (years) 1 2 3 4 Maturity (Years) 2 3 4 $ $ $ $ b. Calculate the forward rate for (i) the second year; (ii) the third year; (iii) the fourth year. Assume annual coupon payments. (Do not round intermediate calculations. Round your answers to 2 decimal places.) $ $ $ Price of Bond 983.40 918.47 867.62 774.16 Price of Bond $983.40 918.47 867.62 774.16 Price of Bond YTM 918.47 867.62 774.16 % % % % Forward Rate % % % #
You observe two most recently issued securities: 6-month T-Bill (zero coupon) with yield 5.25% p.a., and 2-year T-Note with coupon rate of 6% p.a. are selling at par of 100. All bonds in the market are semi-annual payments. Using this information to answer questions 19-20. Which of the following information would be incorrect?A. The current 6-month spot rate is 5.25% p.a.B. The yield to maturity of 2-year T-note is 6% p.a.C. The correct market price of 1-year Treasury note with par of 100 and coupon rate of 5.5% should be about 100.D. The spot rate in 1.5-year’s time should be 5.75% p.a.
The following table gives the prices of Treasury bonds: Bond Principal ($) Time to maturity (years) Annual Coupon* ($) Bond Price ($) 100 0.50 100 1.00 100 1.50 100 2.00 0.0 0.0 6.2 8.0 98 95 101 104 A. Calculate zero rates for maturities of 6 months, 12 months, 18 months, and 24 months. B. What are the forward rates for the periods: 6 months to 12 months, 12 months to 18 months, 18 months to 24 months? C. What are the 6-month, 12-month, 18-month, and 24-month par yields for bonds that provide semiannual coupon payments? D. Estimate the price and yield of a two-year bond providing a semiannual coupon of 7% per annum. PLEASE SHOW EXCEL WORK

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