Suppose the term structure of risk-free interest rates is as shown below. 2 yr Term 1 yr 3 yr 5 yr 7 yr 10 yr 20 yr Rate (EAR %) 2.08 2.42 261 3.24 3.87 4.04 5.07 a. Calculate the present value of an investment that pays $5,000 in two years and $3,000 in five years for certain. b. Calculate the present value of receiving $300 per year, with certainty, at the end of the next five years. To find the rates for the missing years in the table, ine Interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) e. Calculate the present value of receiving $2,300 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint spreadsheet.) a Calculate the present value of an investment that pays $5,000 in two years and $3,000 in five years for certain.

Suppose the term structure of risk-free interest rates is as shown below. 2 yr Term 1 yr 3 yr 5 yr 7 yr 10 yr 20 yr Rate (EAR %) 2.08 2.42 261 3.24 3.87 4.04 5.07 a. Calculate the present value of an investment that pays $5,000 in two years and $3,000 in five years for certain. b. Calculate the present value of receiving $300 per year, with certainty, at the end of the next five years. To find the rates for the missing years in the table, ine Interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) e. Calculate the present value of receiving $2,300 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint spreadsheet.) a Calculate the present value of an investment that pays $5,000 in two years and $3,000 in five years for certain.

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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Question 2. Suppose the current ZCB prices for maturity in two years and in five years are 0.8 and 0.7, respectively. Suppose the two-year forward three-year libor rate is 4%. Determine if there is an arbitrage opportunity. If so, find an arbitrage portfolio. Make sure that you verify the portfolio is an arbitrage portfolio. Hint: In your arbitrage portfolio you will need to include a forward rate agreement.
6. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security currently worth $9,200 will be worth $15,767.18 seven years in the future, what is the implied interest rate the investor will earn on the security-assuming that no additional deposits or withdrawals are made? 5.83% O6.40% 8.00% O 1.71 % If an investment of $50,000 is earning an interest rate of 8.00%, compounded annually, then it will take a value of $89,052.92-assuming that no additional deposits or withdrawals are made during this time. for this investment to reach Which of the following statements is true-assuming that no additional deposits or withdrawals are made? An investment of $25 at an annual rate of 10% will return a higher value in five years than $50 invested at an annual rate of 5% in the same time. An investment of $50 at an annual rate of…
Consider a 6-month futures contract on a financial asset with dividend yield q=3.96% per year. Risk free rate is 10% per year. Current value of an asset is S0=$25. What should be the 6-month futures price on this asset, if there is no convenience yield and storage costs?
You read in The Wall Street Journal that 60-day T-bills are currently yielding 9.5%. Your brother-in-law, a broker, has given you the following estimates of current interest rate premiums: Inflation premium = 6.5%. Liquidity premium = 1.15%. Maturity risk premium = 2.50%. Default risk premium = 2.22%. On the basis of these data, the real risk-free rate of return is?
Assume you can buy a bond that has a par value of $1000, matures in 10 years, yielding 6% and has a duration of 5. If you would like to use this bond to form a guaranteed investment contract “GIC” and offer a guaranteed rate of return to investors for certain years. a. what is the maximum yield you can offer? Why? Explain. b. For how many years would you make the guarantee? Explain.
Which of the following statements is (are) TRUE? Select one or more alternatives: If the AUD trades at a forward premium relative to the NZD, we would expect the NZD risk-free rate to be higher than the AUD risk-free rate. If the 1-year AUD risk-free rate is higher than the 1-year NZD risk-free rate then the value of the NZD will rise relative to the AUD over the next year. Assuming it doesn't hedge, a New Zealand based company importing Australian products will suffer if the value of the AUD rises relative to the NZD. □ If covered interest rate parity holds, then uncovered interest rate parity must also hold.
You are considering investing in a security that will pay you RM1,000 in 'n' years. Required: How long do you have to invest if you start the investment of RM250 today with the appropriate discount rate of 10 percent quarterly? i. ii. Assume these securities sell for RM365, in return for which you receive RM1,000 in 30 years. What is the rate of return investors earn on this security if they buy it for RM365?
An investor has the opportunity to make an investment that will provide an effective annual yield of 13.0 percent. She is considering two other investments of equal risk that will provide compound interest monthly and quarterly, respectively. Required: a. What must be the equivalent nominal annual rate (ENAR) for an investment that will provide compound interest monthly to ensure that an equivalent annual yield of 13.0 percent is earned?b. What must be the equivalent nominal annual rate (ENAR) for an investment that will provide compound interest quarterly to ensure that an equivalent annual yield of 13.0 percent is earned? Note: For all requirements, do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places. Please answer fast i give you upvote.
A two-year maturity floater. Assume annual coupon payment and $1,000 par. Its discount rate is Libor + 2%. The discount rate for fixed cash flows is 2% a. What is the price of this floater if the coupon is Libor + 2%? b. What is the price of this floater if the coupon is Libor + 1%?
Suppose that the current rates on 60 and 120 day GICs are 5.50% and 5.75%, respectively. An investor is weighing the alternatives of purchasing a 120 day GIC versus purchasing a 60 day GIC and then reinvesting its maturity value in a second 60 day GIC.What would the interest rate on 60 day GICs have to be 60 days from now for the investor to end up in the same financial position with either alternative?
4. Let R be the one-year LIBOR rate with annual compounding that will be determined in 6 years from now. Assume the forward interest rate volatility for the corresponding period is 20% per year. The risk-free rates with annual compounding are currently 5% for all maturities. a. Calculate the price of a financial derivative that pays 1000R € in 6 years from now. b. Calculate the price of a financial derivative that pays 1000R € in 7 years from now.
Refer to the following table. Maturity (years) Zero-coupon YTM=r Suppose you wanted to lock in an interest rate for an investment that begins in one year and matures in five years. What rate would you obtain if there were no arbitrage opportunities? 1 3.96% The rate for an investment that begins in one year and matures in five years would be. (Round the final answer two decimal places. Round all intermediate values to four decimal places as needed.) K 2 5.73% 3 5.73% 4 5.21% 5 4.68%

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