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 real risk-free rate of interest is r*=4%�*=4% and it is expected to remain constant over time. Inflation is expected to be 1.60% per year for the next two years and 3.90% per year for the next three years. The maturity risk premium is 0.1×(t−1)%0.1×�−1%, where t� is number of years to maturity, a liquidity premium is 0.45%, and the default risk premium for a corporate bond is 1.40%. The average inflation during the first 4 years is2.37% . What is the yield on a 4-year Treasury bond? 4.30% 8.90% 6.75% 7.05% What is the yield on a 4-year BBB-rated bond? 8.90% 7.50% 7.05% 8.45% If the yield on a 5–year Treasury bond is 7.38% and the yield on a 6–year Treasury bond is 7.83%, the expected inflation in 6 years is . (Hint: Do not round intermediate calculations.)
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.)
The following data are gathered for:· The real risk-free rate is 1.25%· Inflation premium is constant at 2.50%· Default risk premium is 5%· Liquidity risk premium is 0.50% What is the quoted rate on a short-term government security?
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.
2. If the current inflation rate is 3.6% and you have an investment opportunity that pays 10.9%, then what is the real rate of interest on your investment? Please use both exact formula and approximate formula.
Suppose the real risk-free rate of interest is 3% and inflation is expected to be 2% and 3% over the next two years. If a 2-year Treasury security yields 6%, what is the maturity risk premium for the 2-year Treasury security? 1.5% 0.5% 0.2% O 1.0%
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 %
(Expected rate of return and risk) B. J. Gautney Enterprises is evaluating a security. One-year Treasury bills are currently paying 4.6 percent. Calculate the investment's expected return and its standard deviation. Should Gautney invest in this security? Return -4% 1% 6% 0.05 8% (Click on the icon in order to copy its contents into a spreadsheet.) Probability 0.05 0.35 0.55 a. The investment's expected return is 3.85%. (Round to two decimal places.) b. The investment's standard deviation is%. (Round to two decimal places.) C
Suppose we observe the following rates: 1R₁ = 6.2%, 1R₂ = 7.1%, and E(21) = 6.2%. If the liquidity premium theory of the term structure of interest rates holds, what is the liquidity premium for year 2? (Round your intermediate calculations to 5 decimal places and final percentage answer to 2 decimal places. (e.g., 32.16)) Liquidity premium for year 2 %
If we require a 10% real return and we expect inflation to be 7%. Calculate the nominal rate of interest using the fisher effect equation and it's approximation. What is the difference between the two? Respuesta:
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?
Suppose that the current one-year zero-coupon rate is 2.5% and that the expected one-year rate during each of the subsequent four years is 2.0%, 2.5%, 3.0%, and 3.5%. Under the expectations theory, what is the current 5-year zero-coupon interest rate? Enter the answer in percentage points; for example, if the answer is 5.25%, enter 5.25 rather than .0525.

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