Consider two possible investments whose payoffs are completely independent of one another. Both investments have the same expected value and standard deviation. If you have $1,000 to invest, could you benefit from dividing your funds between these investments? Explain your answer. a) Yes. By dividing your funds, you are adding combinations of possible payoffs that lie between the worst- and best-case scenarios and so the probability-weighted spread of the possible payoffs is smaller. The variance of the payoffs is halved. b) Yes. Because one investment will always pay off when the other doesn't, your risk is reduced. c) No. Because the payoffs from these investments are independent and not negatively correlated, there is no benefit. d) No. Usually diversification helps to spread risk, but in this case, because the investments have the same expected value and standard deviation there is no benefit.

Consider two possible investments whose payoffs are completely independent of one another. Both investments have the same expected value and standard deviation. If you have $1,000 to invest, could you benefit from dividing your funds between these investments? Explain your answer. a) Yes. By dividing your funds, you are adding combinations of possible payoffs that lie between the worst- and best-case scenarios and so the probability-weighted spread of the possible payoffs is smaller. The variance of the payoffs is halved. b) Yes. Because one investment will always pay off when the other doesn't, your risk is reduced. c) No. Because the payoffs from these investments are independent and not negatively correlated, there is no benefit. d) No. Usually diversification helps to spread risk, but in this case, because the investments have the same expected value and standard deviation there is no benefit.

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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Assume you are risk-averse and have the following three choices. Standard Deviation Project A B C Expected Value $ 2,520 2,930 2,480 $ 1,420 1,050 1,040 a. Compute the coefficient of variation for each. Note: Round your answers to 3 decimal places. Project A B C Coefficient of Variation b. Which project will you select? O Project C O Project A O Project B
1.) Which is false concerning standard deviation? a. The smaller the standard deviation is the less volatile the investment. b. A larger standard deviation means a riskier investment. c. Standard deviation measures the volatility of an investment from the expected losses. 2.) Which is false concerning covariance? a. A negative covariance means that the two variables tend to move in opposite directions, perpendicular to each other. b. A covariance of zero means there is no linear relationship between the two variables. c. A positive covariance means that the variables tend to move together .
Investment A has a 8.25% internal rate of return and Investment B has a 10.0% internal rate of return. The two investments are mutually exclusive. If the required return is 6.50%, which of the following is a true statement? a) Investment A should be chosen over Investment B. b) Both Investment A and Investment B should be chosen. c) Investment B should be chosen over Investment A. d) It is not possible to know which of the two investments is best with the given information.
Mike Riskless is considering two projects. He has estimated the IRR for each under three possible scenarios and assigned probabilities of occurrence to each scenario. State of Economy Probability Estimated BTIRR Investment I Estimated BTIRR Investment II Optimistic 0.20 0.15 0.20 Most likely 0.60 0.10 0.15 Pessimistic 0.20 0.05 0.05 1.00 Riskless is aware that the pattern of returns for Investment II looks very attractive relative to Investment I; however, he believes that Investment II could be more risky than Investment I. He would like to compare the two investments considering both the risk and return on each. Required: a. Compute BTIRR under each of the three possible scenarios. b. Compute variance and standard deviation of the IRRs.
When modeling the expected return of an income producing property, why should it be defined, for example, a correlation of -0.60 between the NOI growth and the vacancy rate? a. To increase the probability that the computer draws higher values of NOI growth when it draws higher values of vacancy, from their respective distributions, and vice versa. b. To increase the probability that the computer draws lower values of NOI growth when it draws lower values of vacancy, from their respective distributions, and vice versa. c. To increase the probability that the computer draws lower values of NOI growth when it draws higher values of vacancy, from their respective distributions, and vice versa. d. Both “b” and “c” e. To increase the probability that the computer draws NOI growth values that are 60% as large as the vacancy values.
Suppose the average return on Asset A is 6.6 percent and the standard deviation is 8.6 percent and the average return and standard deviation on Asset B are 3.8 percent and 3.2 percent, respectively. Further assume that the returns are normally distributed. Use the NORMDIST function in Excel® to answer the following questions. a. What is the probability that in any given year, the return on Asset A will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the probability that in any given year, the return on Asset B will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. In a particular year, the return on Asset A was −4.25 percent. How likely is it that such a low return will recur at some point in the future? (Do…
What is the process of consideration of the payback period?
Consider an investment with the following probability distribution: Probability: Payoff: 0.40 41.0% 0.40 -6.0 0.20 -20.0 Calculate the expected return. Do not round intermediate calculations. Round your answer to two decimal places. _____% Calculate the standard deviation. Do not round intermediate calculations. Round your answer to two decimal places. _____% Calculate the coefficient of variation. Do not round intermediate calculations. Round your answer to two decimal places. _____
Suppose you inherit $100,000 at age 25 and immediately invested in a growth fund who’s annual rate of return average is 13%. Five years later, you transfer all proceeds from the scrubs fun into a long-term IRA that pays an average annual rate of 8%. Immediately you start making additional contributions of $7000 per year to the same IRA. Assuming continuous interest, steady interest rates, and a perfect record of making annualcontributions, how much is this IRA worth when you reach the age of 65? The formula that will need to be used is A = P e^r*t + D/r (e^r*t - 1). Hint: use the continuous interest formula to find the accumulated amount for the first five years, which is then the annual investment, P, into the IRA.
Alternate & Co is attempting to choose the best of two alternatives asset investment A and B, each requiring an initial investment of RM10000 and both having most likely, optimistic and pessimistic rate of return as shown in the table below. Calculate the following from the data given below. i. Expected rate of return for Asset A & B ii. Variance for Asset A & B iii. Standard deviation for Asset A & B iv. Coefficient of variation for Asset A & B v. Which of the asset is more risky? Asset A Asset B Initial Investment Rm10000 Annual rate of return RM10000 Annual rate of return Probability of this event occurring (2) 0.25 Possible outcomes (3) (5) (1) Pessimistic Most likely Optimistic 13% 7% 0.50 15% 15% 0.25 17% 23% 1.0
uppose the average return on Asset A is 7.1 percent and the standard deviation is 8.3 percent, and the average return and standard deviation on Asset B are 4.2 percent and 3.6 percent, respectively. Further assume that the returns are normally distributed. Use the NORMDIST function in Excel® to answer the following questions. a. What is the probability that in any given year, the return on Asset A will be greater than 12 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the probability that in any given year, the return on Asset B will be greater than 12 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. In a particular year, the return on Asset A was −4.38 percent. How likely is it that such a low return will recur at some point in the future? (Do not round…
Which of the following statements is true? Multiple Choice When NPV is 0, the IRR is equal to the discount rate. When NPV is 0, the investment is not making a profit. In calculating IRR, we make the assumption all cash flows are reinvested at the discount rate. NPV is a good measure to use when comparing investments of different sizes.

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