Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with an 8% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as follows: State of the Economy Boom Normal growth Recession Probability 0.20 0.50 0.30 YTM 11.0% 8.0 7.0 For simplicity, assume the entire 8% coupon is paid at the end of the year rather than every 6 months.

Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with an 8% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as follows: State of the Economy Boom Normal growth Recession Probability 0.20 0.50 0.30 YTM 11.0% 8.0 7.0 For simplicity, assume the entire 8% coupon is paid at the end of the year rather than every 6 months.

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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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 0.25 0.50 0.25 YTM 10.0 % $ 9.0 % 8.0 % Capital Gain 43.44 $ (56.56) Price $ Coupon Interest 4.00 HPR (52.56) % % %
You note the following yield curve in The Wall Street Journal. According to the unbiased expectations theory, what is the 1-year forward rate for the period beginning one year from today, 2f1? (Round your answer to 2 decimal places.) Maturity One day One year Two years Three years Forward rate Yield 2.20% 5.70 6.70 9.20 %
Suppose today that you have the following information: yield on 10-year TIPS: 3.5% yield on 10-year Treasury note: 3.0% What is the expected annual rate of inflation (approximate) over the next 10 years?
The real risk-free rate is 2%, and inflation is expected to be 2% for the next 2 years. A 2-year Treasury security yields 5.0%. What is the maturity risk premium for the 2-year security? Round your answer to one decimal place.
Assuming you have an inflation linker that pays an annual coupon of 2.5% every half a year and the real yield is 3%. What will be the price of the if it matures after 3.5 without the inflation adjustment? Assume the principal is 100. 98.35 97.2 99.1 NONE OF THE ABOVE
Suppose the inflation rate is expected to be 6.75% next year, 4.3% the following year, and 2.3% thereafter. Assume that the real risk-free rate, r*, will remain at 1.85% and that maturity risk premiums on Treasury securities rise from zero on very short-term bonds (those that mature in a few days) to 0.2% for 1-year securities. Furthermore, maturity risk premiums increase 0.2% for each year to maturity, up to a limit of 1.0% on 5-year or longer-term T-bonds. Calculate the interest rate on 3-year Treasury securities.
5 Year Treasury Notes are currently yielding 6.00%, and you have found the following interest premium that relate to this investment: • Inflation premium 1.75% • Liquidity premium 0.00% • Default risk premium 0.00% • Maturity risk premium 1.50% Given the above information, what is the real risk-free rate of return?
Interest rates on 1-year, 2-year, and 3-year Treasury bills are 5%, 6%, and 7%, respectively. Assume that the pure expectations theory holds and that the market is in equilibrium. Which of the following statements is most correct? Group of answer choices The maturity risk premium is positive. Interest rates are expected to rise over the next two years. The market expects one-year rates to be 5.5% one year from today. Answers a, b, and c are all correct. Only answers b and c are correct.
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.
The real risk-free rate is 3%, and inflation is expected to be 4% for the next 2 years. A 2-year Treasury security yields 7.6%. What is the maturity risk premium for the 2-year security? Round your answer to one decimal place.
Give typing answer with explanation and conclusion
Suppose GE plans to issue a note that matures in 2 years and has a 3.67% coupon rate. If the market yield is 4.91%, what is the market price?

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