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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Suppose you are considering investing your entire portfolio in three assets A, B and C. You expect that after you invest, four possible mutually exclusive scenarios will occur, with associated returns (in %) for each of the three assets as listed below. The probability of each scenario is given below (Attached image). Find the expected returns and standard deviations of Asset A, B & C. (HINT: the expected return is given by the probability-weighted sum of returns in each scenario. The expected standard deviation is given by the square root of the probability-weighted sum of squared deviations from the expected return.) Is there any reason to invest in Asset A given its low expected return and high standard deviation?
An investor has an opportunity to invest in two risky assets and a risk-free asset. Theexpected return of the two risky assets are μ1 = 0.12, μ2 = 0.15. Their standarddeviations are σ1 = 0.05 and σ2 = 0.1, and the correlation coefficient between theirreturn is 0.2. The risk-free rate is 0.05. Suppose the investor has $1000 and he wantsto hold a portfolio with expected return of 0.1. If the investor is risk averse, how muchshould he invest in the two risky assets and the risk-free asset?
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.
The expected rate of return of an investment ________. a. equals one of the possible rates of return for that investment b. equals the required rate of return for the investment c. is the mean value of the probability distribution of possible returns d. is the median value of the probability distribution of possible returns e. is the mode value of the probability distribution of possible returns
Can you have an investment with DCFRR > MARR, but NPV $0 (calculating NPV with iTyM=MARR)? Can you have an investment with DCFRR < MARR, and NPV < $0 (calculating NPV with iTyM=MARR)?
On the basis of the utility formula below, which investment would you select if you were risk averse with A = 4? Investment Expected return E(r) Standard deviation σ 1 0.12 0.30 2 0.15 0.50 3 0.21 0.16 4 0.24 0.21
Consider two different assets. Asset A has a mean expected return of 6% with a standard deviation of 22%. Asset B has a standard deviation of returns of 32%. What should be the mean expected return on asset B for a rational investor to be indifferent about these two investments? Answer only if you are 100% sure, other wise i will report your answer.
Find the optimal risky portfolio if you could only use these two funds, ABC and 123, assume the two funds have a correlation coefficient of 0.3. (To do this use excel and create 101 different combination of the two funds, where allocation or “w” for fund ABC is 0, then .01, then .02 and so forth until w=1. For each of these points calculate the Sharpe ratio. Graph these results with returns on the y axis and S.D on the x axis. Remember to report the return and standard deviation of the optimal risky portfolio.) The risk free rate is .02. ABC 123 Expected return 0.12 0.15 sd 0.2 0.3 Correlation coeffcient betweeen both 0.4 Find the w (the weight in fund ABC) that leads to the highest sharpe ratio (only consider the 101 different combinations, so the final answer will only have no more than two decimal places)
Suppose that you have access to two funds. Fund 1 has a ČAPM beta of 0.4, Fund 2 has a CAPM beta of 1.9. Fund 1 has an average return of 8.5% and Fund 2 has an average return of 10.5%. The riskless rate is 5% and the market risk premium is 7%. You would like to construct a Betting-against-Beta (BaB) strategy by levering up Fund 1 and delevering Fund 2 so that both have a beta of 1.75. Assume that you can borrow and lend at the riskless rate. What is the expected return on the zero-cost strategy long in levered Fund 1 and short in delevered Fund 2? A.8.00% B.4.39% C.2.93% D.10.25%
Two assets, A and B, have the same expected return (10%) and the same level of risk (average). Which of the following statements is true? Select one: a. A rational investor will either put 100% of her funds into asset A or 100% of her funds into asset B because the return same but the investor will not have to track two separate investments. b. A combination of assets A and B will have the same expected return (10%) as either asset A or asset B, but may have less than average risk depending on how the cash flows from each asset move together. c. A rational investor is indifferent between investing 100% in A, 100% in B, or a combination of A and B, because the return and risk will be the same. d. A combination of assets A and B will result in the same expected return (10%) as investing 100% in A or 100% in B, but the risk will increase because now two investments are at risk.
You plan to analyze the value of a potential investment by calculating the sum of the present values of its expected cash flows. If the discount rate decreases the it would lower the calculated value of the investment. Group of answer choices True False
Suppose you want to establish a bullish spread strategy. The are two call options. The first one has X1=$50 and C1=$5. The second one has X2=$42 and C2=$6. When the underlying asset price is S(t)=$45, what is the profit from the strategy? What is the maximum profit of the strategy? What is the minimum payoff of the strategy?

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