Prices of zero-coupon, default-free securities with face values of $1,000 are summarized in the following table: Maturity (years). Price (per $1,000 face value) 1 2 3 $974.35 $940.69 $909.35 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 $1,189.52. 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. Yes O B. No 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). Price (per $1,000 face value) 1 2 3 $974.35 $940.69 $909.35 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 $1,189.52. 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. Yes O B. No 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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1. Consider a real return bond with a face value of $15,000 and a coupon yield of 5.2%. What is the coupon payment after one year if the inflation rate is 6.8%? Select one: a) $817.44 b) $833.04 c) $825.24 d) $809.64 I
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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) % % %
Suppose a 10-year, $1,000 bond with a coupon rate of 8.7% and semiannual coupons is trading for $ 1,034.28 a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b If the bond's yield to maturity changes to 9.9% APRwhat will be the bond's price?
Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $90.44, while a 2-year zero sells at $82.64. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 12% per year. Required: a. What is the yield to maturity of the 2-year zero? b. What is the yield to maturity of the 2-year coupon bond? c. What is the forward rate for the second year? d. If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis? Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D Required E Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?…
Suppose a 10-year, $1,000 bond with a coupon rate of 8.9% and semiannual coupons is trading for $1,035.75. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 9.9% APR, what will be the bond's price? a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? The bond's yield to maturity is %. (Round to two decimal places.)
ces Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 4.0% if it is par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) (Leave no cells bl enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate your answers to 2 decimal places.) Economy Boom Normal Growth Recession Probability 0.20 0.60 0.20 YTM 11.0 % 9.0 % 7.0% 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 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 % % %
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 ?? 6.052 6.143 Maturity Month/Year Bid Asked Change May 33 May 36 May 42 103.4560 103.5288 104.4900 104.6357 ?? ?? +.3248 Ask Yield 5.919 +.4245 +.5353 ?? 3.951 In the above table, find the Treasury bond that matures in May 2036. What is your yield to maturity if you buy this bond? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. Yield to maturity %
Suppose a ten-year, $1,000 bond with an 8.8% coupon rate and semiannual coupons is trading for $1,034.29. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 9.2% APR, what will be the bond's price?
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?
Consider the following $1,000 par value zero-coupon bonds: Bond Years to Maturity Bond B 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.) с D YTM(%) 5.1% Years to Maturity 1 2 3 6.1 6.6 7.1 YTM (%) % % %

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