Consider two securities that pay risk-free cash flows over the next two years and that have the current market prices shown here: Security Price Today ($) Cash Flow in One Year ($) Cash Flow in Two Years ($) B1 94 100 0 B2 85 0 100 a. What is the no-arbitrage price of a security that pays cash flows of $100 in one year and $100 in two years? b. What is the no-arbitrage price of a security that pays cash flows of $100 in one year and $500 in two years? c. Suppose a security with cash flows of $50 in one year and $100 in two years is trading for a price of $130. What arbitrage opportunity is available?

Consider two securities that pay risk-free cash flows over the next two years and that have the current market prices shown here: Security Price Today ($) Cash Flow in One Year ($) Cash Flow in Two Years ($) B1 94 100 0 B2 85 0 100 a. What is the no-arbitrage price of a security that pays cash flows of $100 in one year and $100 in two years? b. What is the no-arbitrage price of a security that pays cash flows of $100 in one year and $500 in two years? c. Suppose a security with cash flows of $50 in one year and $100 in two years is trading for a price of $130. What arbitrage opportunity is available?

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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Recall that on a one-year Treasury security the yield is 4.4600% and 6.6900% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.4%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) 9.2933% 8.152% 10.353% 6.9292%
Assume the zero-coupon yields on default-free securities are as summarized in the following table: 3 years 4 years 5 years Maturity 1 year 2 years 7.00% 7.30% 6.20% 6.50% 6.70% Zero-Coupon Yields What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? Why? What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? (Select the best choice below.) O A. One year В. Тwo years C. Three years D. Four years E. Five years
1.
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.
Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. (Input your answers as a percent rounded to 2 decimal places.) 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 2 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2-year security 3-year security 4-year security Expected Return % % % Interest Rate 61 98 7% 108
Suppose the quoted futures price for delivery in 1 year is $7.10. The current underlying price is $7 and the continuously compounded interest rate is 5%. The underlying does not pay dividends. How could you make a riskless arbitrage profit? Question 2Answer a. buy futures contracts, short sell the stock and invest in a bank account b. borrow from the bank to buy futures contracts and short sell the stock c. sell futures contracts, borrow and buy the stock d. sell future contacts, short sell the stock and invest in a bank account
Recall that on a one-year Treasury security the yield is 5.6100% and 6.7320% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.15%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) a 9.6049% b 6.4285% c 8.6217% d 7.5629% Suppose the yield on a two-year Treasury security is 5.83%, and the yield on a five-year Treasury security is 6.20%. Assuming that the pure expectations theory is correct, what is the market’s estimate of the three-year Treasury rate two years from now? (Note: Do not round your intermediate calculations.) a 5.46% b 6.45% c 6.53% d 6.61%
Solve these 2 practice problems
Recall that on a one-year Treasury security the yield is 4.0000% and 5.4000% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.4%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) 6.8509% 6.0096% 7.6322% 5.1082%
An investor in Treasury securities expects inflation to be 2.1% in Year 1, 3.0% in Year 2, and 4.25% each year thereafter. Assume that the real risk-free rate is 2.25% and that this rate will remain constant. Three-year Treasury securities yield 5.20%, while 5-year Treasury securities yield 6.00%. 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.
A European call that will expire in one year is currently trading for $3. Assume the risk-free rate (based on continuous compounding) is 5%, the underlying stock price is $60 and the strike price is $55. a. Is there an arbitrage opportunity? b. Describe exactly what a trader should do to take advantage of the arbitrage opportunity assuming it exists. c. Determine the present value of the profit that the trader can earn assuming you identify an arbitrage opportunity. Use at least four decimal places for those questions that require a numerical answer.
you are considering investing in a four year security which pays 6,000 in one year. 6,000 in two years, 6,000 in 3 years and 17,500 in 4 years. the security currently trades at a price of of 18,483.77. What is the yield to maturity of the security? What is duration?

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