Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 3.5% if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 3.5% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.) Economy Boom Normal Growth Recession Probability 0.25 0.55 0.20 YTM 8.0 % 6.0 % 4.0 % Price Capital Gain Coupon Interest HPR % % %

Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 3.5% if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 3.5% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.) Economy Boom Normal Growth Recession Probability 0.25 0.55 0.20 YTM 8.0 % 6.0 % 4.0 % Price Capital Gain Coupon Interest HPR % % %

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 real risk-free rate is 2.15%. Inflation is expected to be 3.15% this year, 4.35% next year, and 2.6% thereafter. The maturity risk premium is estimated to be 0.05 × (t - 1)%, where t = number of years to maturity. What is the yield on a 7-year Treasury note? Do not round intermediate calculations. Round your answer to two decimal places. %
The real risk-free rate is 2.75%. Inflation is expected to be 2.25% this year and 5.00% during the next 2 years. Assume that the maturity risk premium is zero. What is the yield on 2-year Treasury securities? Do not round intermediate calculations. Round your answer to two decimal places. % What is the yield on 3-year Treasury securities? Do not round intermediate calculations. Round your answer to two decimal places. %
Interest rates on 4-year Treasury securities are currently 5.4%, while 6-year Treasury securities yield 7.85%. If the pure expectations theory is correct, what does the market believe that 2-year securities will be yielding 4 years from now? Calculate the yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places.
The real risk-free rate is 3.25%. Inflation is expected to be 1.75% this year and 5.00% during the next 2 years. Assume that the maturity nsk premium is zero. What is the yield on 2-year Treasury securities? Do not round intermediate calculations. Round your answer to two decimal places. 7.5 % What is the yield on 3-year Treasury securities? Do not round intermediate calculations. Round your answer to two decimal places. ,06 %
Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a 4.0% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 4.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places. Economy Boom Normal Growth Recession Probability 0.35 0.40 0.25 YTM 11.0% 9.0 % 7.0 % Price Capital Gain Coupon Interest HPR % % %
Assume that the bond from problem #1 reaches maturity in 5 years instead of 15 years, with the same coupon rate and par value. What would the relevant market prices be at 10%, 5%, and 14% required market rates of return?
The real risk-free rate is 2.75%. Inflation is expected to be 1.75% this year and 4.75% during the next 2 years. Assume that the maturity risk premium is zero. What is the yield on 2-year Treasury securities? Do not round intermediate calculations. Round your answer to two decimal places. 6.50 What is the yield on 3-year Treasury securities? Do not round intermediate calculations. Round your answer to two decimal places. 3.750 % %
Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.73 % — AAA corporate 0.93 0.20 % AA corporate 1.33 0.60 A corporate 1.75 1.02 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: 6.553%----->correct 7-year Corporate yield: ? %…
Suppose that the current one-year zero-coupon rate is 2.5% and that the expected one-year rate during each of the subsequent four years is 2.0%, 2.5%, 3.0%, and 3.5%. Under the expectations theory, what is the current 5-year zero-coupon interest rate? Enter the answer in percentage points; for example, if the answer is 5.25%, enter 5.25 rather than .0525.
Interest rates on 4-year Treasury securities are currently 5.4%, while 6-year Treasury securities yield 7.45%. If the pure expectations theory is correct, what does the market believe that 2-year securities will be yielding 4 years from now? Calculate the yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places
Suppose you just purchased a bond (Face Value = $1,000) with 16 years to maturity that pays an annual coupon of $24.00 and is selling at par. Calculate the one-year holding period return for each of these two cases: Required: a. The yield to maturity is 3.90% one year from now. (Do not round intermediate calculations. Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) HPR b. The yield to maturity is 1.70% one year from now. (Do not round intermediate calculations. Round your answer to 2 decimal places.) HPR %
Interest rates on 4-year Treasury securities are currently 5.0%, while 6-year Treasury securities yield 7.45%. If the pure expectations theory is correct, what does the market believe that 2-year securities will be yielding 4 years from now? Calculate the yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places.

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