You have been asked for your advice in selecting a portfolio of assets and have been given the following data: Expected Return Year 2019 2020 2021 Asset A 12% 14 16 Asset B 16% 14 12 Asset C 12% 14 16 You have been told that you can create two portfolios-one consisting of assets A and B and the other consisting of assets A and C-by investing equal proportions (50%) in each of the two component assets. a. What is the expected return for each asset over the 3-year period? b. What is the standard deviation for each asset's return? c. What is the expected return for each of the two portfolios? d. What is the standard deviation for each portfolio? e. Which portfolio do you recommend? Why?
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- You have been asked for your advice in selecting a portfolio of assets and have been supplied with the following data:. You have been told that you can create two portfolios-one consisting of assets A and B and the other consisting of assets A and C-by investing equal proportions (50%) in each of the two component assets. a. What is the average expected return, r, for each asset over the 3-year period? b. What is the standard deviation, s, for each asset's expected return? c. What is the average expected return, rp, for each of the portfolios? d. How would you characterize the correlations of returns of the two assets making up each of the portfolios identified in part c? e. What is the standard deviation of expected returns, Sp, for each portfolio? f. What would happen if you constructed a portfolio consisting of assets A, B, and C, equally weighted? Would this reduce risk or enhance return?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?You have been given the expected return data shown in the first table on three assets—F, G, and H—over the period 2018-2021 Year Asset F Asset G Asset H 2019 5 12 12 2020 10 9 7 2021 13 21 4 2022 6.5 6 10.5 Using these assets, you have isolated the three investment alternatives shown in the following table. Alternative Investment 1 100% of asset G 2 40% of asset F and 60% of asset G 3 50% of asset F and 50% of asset H Calculate the expected return over the 4-year period for each of the three alternative Calculate the standard deviation of returns over the 4-year period for each of the three alternatives. Use your findings in parts a and b to calculate the coefficient of variation for each of the three alternatives. On the basis of your findings, which of the three investment alternatives do you recommend? Why?
- 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.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. ONLY ANSWER PART C AND D PLEASEAs the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 8, while Mr. B has a risk-tolerance factor of 27. The characteristics for four model portfolios follow: ASSET MIX Bond 93% 75 32 13 Portfolio 1 2 3 4 Stock 7% 25 GB 87 a. Calculate the expected utility of each prospective portfolio for each of the two clients. Do not round intermediate calculations. Round your answers to two decimal places. 1 2 3 Portfolio Ms. A ER 8% 9 10 11 b. Which portfolio represents the optimal strategic allocation for Ms. A? Which portfolio is optimal for Mr. B? Portfollo-Select-represents the optimal strategic allocation for Ms. A. Portfolio Select is the optimal allocation for Mr. B. c. For Ms. A, what level of risk tolerance would leave her indifferent between having Portfolio 1 or Portfolio 2 as her strategic…
- Assume that you were given $100,000 to invest in financial assets, discuss the following: Explain what your investment portfolio would look like. Share what you believe is your risk toleranceConsider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 8%, op = 15%, rf = 2%. Required: a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall or complete portfolio equal to 8%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk-free asset? b. What will be the standard deviation of the rate of return on her portfolio? c. Another client wants the highest return possible subject to the constraint that you limit his standard deviation to be no more than 12%. Which client is more risk averse? Complete this question by entering your answers in the tabs below. Required A Required B Required C Risky portfolio Risk-free asset Answer is complete but not entirely correct. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall…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?
- Q5. You are considering two assets with the following characteristics. Return Standard deviation Weights Asset 1 Asset 2 0.15 0.20 0.10 0.20 0.5 0.5 Compute the standard deviation of two portfolios if r1,2 = 0.40 and -0.60, respectively.Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 9%, Op = 24%, rf = 2%. Required: a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall or complete portfolio equal to 8%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk-free asset? b. What will be the standard deviation of the rate of return on her portfolio? c. Another client wants the highest return possible subject to the constraint that you limit his standard deviation to be no more than 12%. Which client is more risk averse?Using the information provided in the pictures: Let’s assume, you want to construct a portfolio of risky and riskfreeassets. You wish to generate a 7% return for your complete portfolio E(rc). Using the Capital AllocationLine (CAL) equation - E(rc) = rf + y(E(Rp) - rf)a. Calculate the portion that you need to invest in risky assets and (b). in risk-free assets.c. Calculate the standard deviation of the portfolio.