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 in the three assets? How do thwith investing in asset M alone? Hint Find the standard deviations of asset M and of the portfolio equally invested insets 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.)i%3DData Table(Click on the following icon in order to copy its contents into a spreadsheet.)StatesProbabilityAsset M ReturnAsset N ReturnAsset O ReturnBoom32%13%22%5%Normal53%11%15%11%Recession15%5%2%13%PrintDone P8-23 (similar to)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 in the three assets? How do they comparewith investing in asset M alone? Hint. Find the standard deviations of asset M and of the portfolio equally invested in assets M. N. and OWhat is the expected return of investing equally in all three assets M, N. and O?% (Round to two decimal places)

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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 in the three assets? How do with investing in asset M alone? Hint Find the standard deviations of asset M and of the portfolio equally invested insets 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.) Asset O Return States Boom Normal Recession Probability Asset M Return Asset N Rotum 32% 22% 5% 13% 11% 5% 53% 15% 11% 15% 2% 13% Print Done

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 in the three assets? How do with investing in asset M alone? Hint Find the standard deviations of asset M and of the portfolio equally invested insets 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.) Asset O Return States Boom Normal Recession Probability Asset M Return Asset N Rotum 32% 22% 5% 13% 11% 5% 53% 15% 11% 15% 2% 13% Print Done

Entrepreneurial Finance

6th Edition

ISBN:9781337635653

Author:Leach

Publisher:Leach

Chapter7: Types And Costs Of Financial Capital

Section: Chapter Questions

Problem 5EP

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Benefits of diversification. Sally Rogers has decided to invest her wealth equally across the following three assets. What are her expected returns and he risk from her investment in the three assets . How do they compare with investing in asset M alone. hint : Find he standard deviations of asset M and the portfolio equally invested in assets M, N, and O. Could Sally reduce her total risk even more by using assets M and O only, or assets N and O only. Use a 50/50 split between the asset pairs, and find the standard deviation of each asset pair. Please answer all questions with explanations and round to two decimal places. Thx
Darren is considering the following investments; Alphabet, PayZero and FNQ Res.: Probability of return (%) Likely Return Alphabet (%) Likely Return PayZero (%) Likely Return FNQ Res. (%) 20 6 4 9 30 9 7 14 40 16 10 19 10 18 14 26 a) Calculate the expected return for each asset. b) Calculate the expected return on a portfolio comprising each asset weighted as follows Asset Weighting (%) Weighting (%) Alphabet 20 PayZero 55 FNQ Res. 25 c) Explain to Darren the benefit of combining the assets into a portfolio instead of undertaking individual investments in Alphabet, PayZero and FNQ Res. d) Calculate the risk attached to each of the investments proposed in Alphabet, PayZero and FNQ Res. Rank each investment in regard to its risk and return. Discuss the likely range of returns that could eventuate for each asset with a 95% level of accuracy.
Sharon Smith, the financial manager for Barnett Corporation, wishes to select one of three prospective investments: X, Y, and Z. Assume that the measure of risk Sharon cares about is an asset's standard deviation. The expected returns and standard deviations of the investments are as follows: Investment Expected return Standard deviation X 17% 7% Y 17% 8% Z 17% 9% a. If Sharon were risk neutral, which investment would she select? Explain why. b. If she were risk averse, which investment would she select? Why? c. If she were risk seeking, which investments would she select? Why? d. Suppose a fourth investment, W, is available. It offers an expected return of 18%,and it has a standard deviation of 9%. If Sharon is risk averse, can you say which investment she will choose? Why or why not? Are there any investments that you are certain she will not choose?
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?
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.
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?
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%…
Benefits of diversification. What is the expected return of investing equally in all three assets M, N, and O? Find the standard deviations of asset M and of the portfolio equally invested in assets M, N, and O.
(Computing the standard deviation for an individual investment) James Fromholtz is considering whether to invest in a newly formed investment fund. The fund's investment objective is to acquire home mortgage securities at what it hopes will be bargain prices. The fund sponsor has suggested to James that the fund's performance will hinge on how the national economy performs in the coming year. Specifically, he suggested the following possible outcomes: LOADING... . a. Based on these potential outcomes, what is your estimate of the expected rate of return from this investment opportunity? b. Calculate the standard deviation in the anticipated returns found in part a. c. Would you be interested in making such an investment? Note that you lose all your money in one year if the economy collapses into the worst state or you double your money if the economy enters into a rapid expansion. State of Economy Probability Fund Returns Rapid expansion and recovery…
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: Aaron owns a two-stock portfolio that invests in Happy Dog Soap Company (HDS) and Black Sheep Broadcasting (BSB). Three-quarters of Aaron’s portfolio value consists of HDS’s shares, and the balance consists of BSB’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 Happy Dog Soap Black Sheep Broadcasting Strong 0.50 30% 42% Normal 0.25 18% 24% Weak 0.25 -24% -30%…
Hailey has identified two companies, Urban Foodies and Wicked Chef, as possible investments. She has estimated the expected performance of the two companies under each of the following economic conditions as follows: Economic conditions Probability of the economic state occurring Rate of return of Urban Foodies Rate of return of Wicked Chef Recession. 0,20 −15% 20% Normal 0,50 20% 30% Boom. 0,30 60% 40% You are required to calculate the expected return of a portfolio consisting of 75% of Urban Foodies and 25% of Wicked Chef. 1. 25,00% 2. 26,50% 3. 32,00% 4. 45,50%
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%…