Prices of zero-coupon, default-free securities with face values of $1,000 are summarized in the following table: Maturity (years) 1 2 3 Price (per $1,000 face value) $974.87 $943.86 $911.70 Suppose you observe that a three-year, default-free security with an annual coupon rate of 10% and a face value of $1,000 has a price today of $1,190.89. Is there an arbitrage opportunity? If so, show specifically how you would take advantage of this opportunity. If not, why not? Is there an arbitrage opportunity? (Select the best choice below.) O A. No O B. Yes O C. Not enough information.

Prices of zero-coupon, default-free securities with face values of $1,000 are summarized in the following table: Maturity (years) 1 2 3 Price (per $1,000 face value) $974.87 $943.86 $911.70 Suppose you observe that a three-year, default-free security with an annual coupon rate of 10% and a face value of $1,000 has a price today of $1,190.89. Is there an arbitrage opportunity? If so, show specifically how you would take advantage of this opportunity. If not, why not? Is there an arbitrage opportunity? (Select the best choice below.) O A. No O B. Yes O C. Not enough information.

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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Interest rates on 4-year Treasury securities are currently 5.2%, while 6-year Treasury securities yield 7.25%. 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. %
An investor in Treasury securities expects inflation to be 2.2% in Year 1, 2.7% in Year 2, and 3.65% each year thereafter. Assume that the real risk-free rate is 2.45% and that this rate will remain constant. Three-year Treasury securities yield 5.50%, while 5-year Treasury securities yield 7.00%. What is the difference in the maturity risk premiums (MRPs) on the two securities; that is, what is MRP5 - MRP3? Do not round intermediate calculations. Round your answer to two decimal places.
Interest rates on 4-year Treasury securities are currently 6.2%, while 6-year Treasury securities yield 8.05%. 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. %
Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a 3.0% 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 3.0% 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 0.30 0.60 0.10 YTM 10.0% 8.0 % 7.0 % Price Capital Gain Coupon Interest HPR % % %
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 %
The real risk-free rate is 3.00%. Inflation is expected to be 2.25% this year and 3.50% 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. %
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.
The following information is to be used in the following two questions: Using the expectations hypothesis, You observe the following bonds trading in the market: . a 1-year zero priced at $925.00 • a two-year 10% coupon bond trading at a par value of $10,000 What is the one-year interest rate (expressed in %)?
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.
Please answer fast i give you upvote.
Consider the following $1,000 par value zero-coupon bonds: Bond Years to Maturity 1 YTM(%) 5.6% 2 3 4 6.6 7.1 7.6 According to the expectations hypothesis, what is the market's expectation of the yield curve one year from now? Specifically, what are the expected values of next year's yields on bonds with maturities of (a) one year? (b) two years? (c) three years? (Do not round Intermediate calculations. Round your answers to 2 decimal places.) APCO D Bond Years to Maturity YTM (%) B 1 % C 2 % D 3 %

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