Benefits of diversification. Sally Rogers has decided to invest her wealth equally across the following three assets: What are her expected returns and the risk from her investment ithree assets? How do they compare with investing in asset M alone? Hint. Find the standard deviations of asset M and of the portfolio equally invested in assets M, N, and O.What is the expected return of investing equally in all three assets M, N, and O?% (Round to two decimal places.)Data table(Click on the following icon in order to copy its contents into a spreadsheet.)StatesBoomProbability27%Asset M Return13%10%Normal48%Recession25%1%Asset N Return23%15%3%Asset O Return1%10%13%X

Expected returns and risk of investing in each asset:Asset Expected Return Standard DeviationM 8.00%…

Answered: Benefits of diversification. Sally…

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?
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.
Which of the following investments will experience the largest change in its market value as a result of changes in the level of interest rates (we are talking about the absolute value of the change, up or down)? Suppose interest rates go up or down by 50 basis points (0.5%). Rank the investments from 1 to 4 where a 1 is the most affected (largest absolute change in value) while a 4 is the least affected (smallest absolute change in value). A: $1 million invested in 3-month Treasury bills. 请选择~ B: $1 million invested in STRIPS (zero coupons) maturing in three years. |请选择 C: $1 million invested in a Treasury note maturing in three years. The note pays a 5% annual coupon. |请选择︾ D: $1 million invested in a Treasury note maturing in three years. The note pays a 10.0% annual coupon. |请选择
Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset’s expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: James owns a two-stock portfolio that invests in Blue Llama Mining Company (BLM) and Hungry Whale Electronics (HWE). Three-quarters of James’s portfolio value consists of BLM’s shares, and the balance consists of HWE’s shares. Each stock’s expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Probability of Occurrence Blue Llama Mining Hungry Whale Electronics Strong 0.25 27.5% 38.5% Normal 0.45 16.5% 22% Weak 0.30 -22%…
The historical returns for two investments-A and B-are summarized in the following table for the period 2016 to 2020, Use the data to answer the questions that follow. a. On the basis of a review of the return data, which investment appears to be more risky? Why? b. Calculate the standard deviation for each investment's returns. c. On the basis of your calculations in part b, which investment is more risky? Compare this conclusion to your observation in part a acce a. On the basis of a review of the return data, which investment appears to be more risky? Why? (Choose the best answer below.) OA. The riskier investment appears to be investment B, with returns that vary widely from the average relative to investment A, whose returns show less deviation from the average. B. The riskier investment appears to be investment A, with returns that vary widely from the average relative to investment B, whose returns show less deviation from the average. C. Investment A and investment B have equal…
The historical returns for two investments-A and B-are summarized in the following table for the period 2016 to 2020, Use the data to answer the questions that follow. a. On the basis of a review of the return data, which investment appears to be more risky? Why? b. Calculate the standard deviation for each investment's returns. c. On the basis of your calculations in part b, which investment is more risky? Compare this conclusion to your observation in part a. a. On the basis of a review of the return data, which investment appears to be more risky? Why? (Choose the best answer below.) A. The riskier investment appears to be investment B, with returns that vary widely from the average relative to investment A, whose returns show less deviation from the average. B. Investment A and investment B have equal risk because the average returns are the same. C. The riskier investment appears to be investment A, with returns that vary widely from the average relative to investment B, whose…
Which of the following is correct? O A. Common stock valuation usually treats the common stock as a perpetuity. OB. The appropriate measure for risk according to the capital asset pricing model is beta. OC. The present value of a $100 perpetuity discounted at 5% is $2,000. OD. The incremental cost is the cost of making a choice defined in terms of the next best alternative that is foregone. OE. Both B and C.
Investors can allocate their wealth between (i) the risk-free asset, and (ii) one of the three risky assets as shown below. For example, 20% in risk-free and 80% in A, or 30% in risk-free and 70% in B, or 40% in risk- free and 60% in C, and so on. Risky Asset E(r) A B Stdev 20% 25% 30% 35% 40% 45% The risk-free rate is 5%. If investors target an expected annual return of 30%, what is the lowest stdev that can be achieved among all the possible allocations? Show your answer in % and round to two decimals (e.g. xx.xx%).
The historical returns for two investments A and B—are summarized in the following table for the period 2016 to 2020, Use the data to answer the questions that follow. a. On the basis of a review of the return data, which investment appears to be more risky? Why? b. Calculate the standard deviation for each investment's returns. c. On the basis of your calculations in part b, which investment is more risky? Compare this conclusion to your observation in part a. a. On the basis of a review of the return data, which investment appears to be more risky? Why? (Choose the best answer below.) A. The riskier investment appears to be investment B, with returns that vary widely from the average relative to investment A, whose returns show less deviation from the average. B. The riskier investment appears to be investment A, with returns that vary widely from the average relative to investment B, whose returns show less deviation from the average. C. Investment A and investment B have equal risk…
Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset’s expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: Tyler owns a two-stock portfolio that invests in Celestial Crane Cosmetics Company (CCC) and Lumbering Ox Truckmakers (LOT). Three-quarters of Tyler’s portfolio value consists of CCC’s shares, and the balance consists of LOT’s shares. Each stock’s expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Probability of Occurrence Celestial Crane Cosmetics Lumbering Ox Truckmakers Strong 0.20 35% 49% Normal 0.35 21% 28%…
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. A B C Probabilities return 0.05 0.50% -3.60% 3.60% 0.35 0.60% 2.75% 0.15% 0.45 3.66% 1.45% 0.45% 0.15 -4.80% -0.60% 6.30% 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?
A fund manager can invest in any combination of the three assets with the following expected returns and standard deviations: Asset 1: r1 = 2%, σ1 = 2% Asset 2: r2 = 6%, σ2 = 6% Asset 3: r3 = 4%, σ3 = 4% All three assets returns are uncorrelated: p12 = p13 =p 23 = 0 . Find a portfolio consisting of these three assets that achieves an expected return of 4% with the lowest risk possible. Show all steps.

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