Suppose that the current one-year rate and expected one-year T-bill rates over the following three years (vears 2, 3, and 4, respectively) are as follows:1R1 = 0.6%, E(21) = 1.1%, E(3r1) = 1.8%, E(4r1) = 2.7%Using the unbiased expectations theory, calculate the current rates for two-, three-, and four- year maturity Treasury securities. Round your final answer to 2 decimal placesusing percentage format (ex. - 1.23% should be entered as 1.23). Don't round intermediate calculations.Two-year:%%Three-year:%Four-year

The unbiased expectations theory states that the return that an investor could earn from holding a…

Answered: Suppose that the current one-year rate…

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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Unbiased Expectations Theory Suppose that the current one-year rate (one-year spot rate) and expected one-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows 1R1=4.35%, E(2r1) =5.35%, E(3r1) =5.85%, E(4r1)=6.20% Using the unbiased expectations theory, what is the current (long-term) rate for four-year-maturity Treasury securities?
Suppose 1-year T-bills currently yield 7.00% and the future inflation rate is expected to be constant at 2.00% per year. What is the real risk-free rate of return, r*? The cross-product term should be considered , i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.)
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 1 year 2.06 2.44 2.64 3.22 3.74 Term Rate (EAR, %) Print Done 10 years 4.25 20 years 5.09 I X t cent.)
Assume that the risk-free rate, RF, is currently 9% and that the market return, rm, is currently 16%. a. Calculate the market risk premium. b. Given the previous data, calculate the required return on asset A having a beta of 0.4 and asset B having a beta of 1.8.
Suppose that the current one-year rate (one-year spot rate) and expected one-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows: 1R1 = 0.3%, E(2r 1) = 1.3%, E(3r1) = 8.9%, E(4r1) = 9.25% Using the unbiased expectations theory, calculate the current (long-term) rates for one-, two-, three-, and four-year-maturity Treasury securities.
If the rate of inflation is 2.8% per year, the future price p (t (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today. p(t) = 600(1.028) Find the current price of the item and the price 9 years from today. Round your answers to the nearest dollar as necessary. Current price: Price 9 years from today: S|
Suppose that the current 1-year rate (1-year spot rate) and expected 1-year T-bill rates over the following three years (ie.. years 2, 3, and 4, respectively) are as follows: 181 = 4%, E(201) = 5%, E(31) = 5.50 %, E(41) = 5.85% 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.) Years AGN- Current (Long-term) Rates
If the risk-free rate is 3.80 percent and the risk premium is 2.8 percent, what is the required return? (Round your answer to 1 decimal place.) Required return
Given a real rate of interest of 2%, an expected inflation premium of 3%, and risk premiums for investments A and B of 4% and 6%, respectively, find the following. The risk-free rate of return, rf
The two-year interest rate is 10.4%, and the expected annual inflation rate is 5.2%. a. What is the expected real interest rate? b-1. If the expected rate of inflation suddenly rises to 7.2%, what does Fisher's theory say about how the real interest rate will change? b-2. If the expected rate of inflation suddenly rises to 7.2%, what will be the new nominal rate? Complete this question by entering your answers in the tabs below. Req A Req B1 Req B2 What is the expected real interest rate? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Expected real interest rate %
It is given that dP/dt = rP (r being the annually compounded interest rate and P is the amount in the account at any given time). Suppose that an account earns at an annual rate of r percent compounded continuously and a person is drawing an income of H dollars per year withdrawn continuously (impossible, but a modeling assumption). Use phase line analysis to analyze the behavior of the account. Discuss the meaning of any equilibrium points and their stability. If r = 10% (a reasonable rate for long-term stock investments), and H = $10,000, how long should an initial investment of $50,000 be left untouched so that when withdrawals begin the capital is not depleted?
Given the financial data for four mutually exclusive alternatives in the table below, determine the best alternative using the incremental rate of return (∆RoR) analysis. MARR =10%.

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