Suppose the term structure of risk-free interest rates is as shown here: a. Calculate the present value of an investment that pays $1,000 in 2 years and $4,000 in 5 years for certain. b. Calculate the present value of receiving $900 per year, with certainty, at the end of the next 5 years. To find the rates for the missing years in the table, linearly 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.) c. Calculate the present value of receiving $2,700 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) 2 years 3 years 5 years 7 years 3.74 2.44 2.64 3.22 Term Rate (EAR, %) 1 year 2.06 Print Done 10 years 4.25 20 years 5.09 - X - t cent.)

Suppose the term structure of risk-free interest rates is as shown here: a. Calculate the present value of an investment that pays $1,000 in 2 years and $4,000 in 5 years for certain. b. Calculate the present value of receiving $900 per year, with certainty, at the end of the next 5 years. To find the rates for the missing years in the table, linearly 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.) c. Calculate the present value of receiving $2,700 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) 2 years 3 years 5 years 7 years 3.74 2.44 2.64 3.22 Term Rate (EAR, %) 1 year 2.06 Print Done 10 years 4.25 20 years 5.09 - X - t cent.)

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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Suppose the risk-free interest rate is 4.6%. Having $600 today is equivalent to having what amount in one year? (Round to the nearestcent.) Having $600 in one year is equivalent to having what amount today? (Round to the nearestcent.) Which would you prefer, $600 today or $600 in one year? Does your answer depend on when you need the money? Why or why not? (Round to the nearestcent.)
Can you help with A and b
Suppose that, in each period, the cost of a security either goes up by a factor of 2 or goes down by a factor of 1/2 (i.e.,u= 2, d=1/2). If the initial price of the security is 100, determine the no-arbitrage cost of a call option to purchasse the security at the end of two periods for a price of 150. My main question is what should the no-arbitrage price of the call be? Can I have complete detail and formula please.
One can solve for payments (PMT), periods (N), and interest rates (1) for annuities. The easiest way to solve for these variables is with a financial calculator or a spreadsheet. Quantitative Problem 1: You plan to deposit $2,100 per year for 4 years into a money market account with an annual return of 3%. You plan to make your first deposit one year from today. a. What amount will be in your account at the end of 4 years? Do not round intermediate calculations. Round your answer to the nearest cent. $ b. Assume that your deposits will begin today. What amount will be in your account after 4 years? Do not round intermediate calculations. Round your answer to the nearest cent. $ Quantitative Problem 2: You and your wife are making plans for retirement. You plan on living 25 years after you retire and would like to have $95,000 annually on which to live. Your first withdrawal will be made one year after you retire and you anticipate that your retirement account will earn 12% annually. a.…
Suppose that a 10-year T-note is purchased with a face value of $20,000 and a coupon rate of 3.4% (a) What is the total return of this investment? (b) What is the average rate of retum? (a) The total return is $ (Simplity your answer.) (b) The average rate of return is%. (Simplify your answer. Round to two decimal places as needed.)
Suppose that the current 1-year rate (1-year spot rate) and expected 1-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows: 1R1 = 6%, E(2r1) = 7%, E(3r1) = 7.60%, E(4r1) = 7.95% Using the unbiased expectations theory, calculate the current (long-term) rates for one-, two-, three-, and four-year-maturity Treasury securities. (Round your answers to 2 decimal places.)
Find the present worth sum of money that would be equivalent to the future amounts of $5000 in year 6 and $7000 in year 8 if the real interest rate is 10% per year and the inflation rate is 5% per year. Solve using the factors and their equations with (a) an inflation-adjusted rate, and (b) the real interest rate. Solve manually please
Using the Treasury yield information in part c, calculate the following rates using geometric averages (round your answers to three decimal places): The 1-year rate, 1 year from now The 5-year rate, 5 years from now The 10-year rate, 10 years from now The 10-year rate, 20 years from now
Raghubhai
Suppose that =7% (na1), and that future short term (1 year) interest rates are expected to be 5% and 3% (for the subsequent two years). The liquidity premium for n2 and 3 is 0.25% and 0.35% respectively. a. Use the liquidity premium theory to calculate for ne2 and 3, and then plot the yield curve using your results. CALCULATE showing all work and ALL formulas that you use, b. Discuss what would be the impact on the yield curve in part a. if future short term rates were suddenly expected to rise.
Although annual compounding-interest compounded once per year-is very common and an instructive way to introduce future value calculations, other compounding periods are possible. For example, semiannual compounding involves interest compounded twice per year. In such a scenario, you must consider the periodic interest rates and the number of compounding periods. For annual compounding, it is simple the periodic interest rate is the same as the stated nominal interest rate and the number of compounding periods is simply equal to the number of years. However, under semiannual compounding, the periodic interest rate is calculated as: Periodic rate Stated annual rate Number of payments per year For semiannual compounding, this means you would divide the stated annual rate by two. The number of periods is calculated as: Number of periods (Number of years) x (Periods per year) For semiannual compounding, this means you would multiply the number of years by two to get the total number of…
You are comparing two investments. The first pays 3 percent interest per month, compounded monthly, and the second pays 6 percent interest per six months, compounded every six months. a. What is the effective semiannual interest rate for each investment? b. What is the effective annual interest rate for each investment? c. Based on the interest rates, which investment is preferred? Does the decision depend on whether the comparison is based on an effective six-month rate or an effective one-year rate? a. The effective semiannual interest rate for the first investment is percent. (Type an integer or decimal rounded to two decimal places as needed.)

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