QUESTION 12 Investors can form complete portfolios out of a risk-free asset and a risky portfolio. The risky portfolio can be formed out of 2 risky stocks: AAPL with an expected return of 10% and volatility of 15%, and MSFT with an expected return of 14% and volatility of 18%. Mary is more risk averse than Tom and both has a total of $1000 to invest in the risky assets. According to portfolio theory which
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- Give typing answer with explanation and conclusion Assume that your client would prefer to invest her entire wealth into a portfolio with an annual risk premium of 6% and a standard deviation of 12%. You have constructed a risky portfolio with an expected return of 10% and a standard deviation of 15%. T-Bills are currently yielding 4%. What is the optimal allocation, y, to the risky portfolio given your client's risk preferences? What is the expected return and standard deviation on your client's optimal complete portfolio?Question 6 Suppose that an investor has £1,000,000 to invest in a portfolio containing stocks A, B and a risk-free asset. The investor must invest all her money, and she is using the Capital Asset Pricing Model (CAPM) to make predictions of the expected return-beta relationship. Her objective is to create a portfolio that has an expected return of 14% and which has a beta of 0.75. If stock A has an expected return of 30% and a beta of 1.9, stock B has an expected return of 20% and a beta of 1.4, and the risk-free rate is 8%, how much money will she invest in stock A? Explain your answer and show your calculations.QUESTION 4 There are only 2 assets to invest in, both being risky. AAPL has an expected return of 10% and volatility of 15%. MSFT has an expected return of 12% and volatility of 18%. Which one of the following statements is correct? On the expected return-volatility space, the set of all feasible risky portfolios is a straight line. On the expected return-volatility space, the set of all feasible risky portfolios is a curve that does not go through any of the 2 risky assets. 100% invested in MSFT is an efficient portfolio. 100% invested in AAPL is an efficient portfolio.
- Anna holds a portfolio comprising the following 3 stocks: X, Y and Z. Investment Amount Beta. Expected return Security X $2000. 1.3. Security Y $1000. 1. 10% Security Z. $500. 0. 2% a. Determine the expected return of security X. b. Calculate the return of Anna’s portfolio. c. Calculate the beta of Anna’s portfolio. d. To reduce the systematic risk of the portfolio, Anna is considering 3 securities to add to the portfolio. Security A has a beta of 0, security B has a beta of 0.5 and Security C has a beta of -0.3. Discuss which security will be most effective in reducing the portfolio’s systematic risk? How would portfolio expected return change (higher or lower) if you add this security?Consider the following information about a risky portfolio that youmanage, and a risk-free asset: E(rP ) = 11%, σP = 15%, rf = 5%.a) Your client wants to invest a proportion of her total investment budget in your riskyfund to provide an expected rate of return on her overall or complete portfolio equal to8%. What proportion should she invest in the risky portfolio, P, and what proportionin 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 limithis standard deviation to be no more than 12%. Which client is more risk averse?What is the beta of a portfolio made up of two risky assets and a risk-free asset? You invest 35% in asset A with a beta of 1.2 and 35% in asset B with a beta of 1.1. Select one: O a. 0.66 O b.1.29 O C. 0.81 O d.1.14 O e. 1.03
- Kelly has investments with the following characteristics in her portfolio: Investment in Beta Amount invested Stock Q 1.5 $80,000 Stock R 2.0 $50,000 Stock S 0.85 $70,000 Given the risk free rate of 2% and the market return of 7%, what is the expected rate of return of Kelly’s investment portfolio?Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) 13%, op = 17%, rf = 5%. %3D 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 7%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk- free asset? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Risky portfolio % Risk-free asset % b. What will be the standard deviation of the rate of return on her portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Standard deviation %You want your portfolio beta to be 1.30. Currently, your portfolio consists of $100 invested in stock A with a beta of 1.4 and $300 in stock B with a beta of .6. You have another $400 to invest and want to divide it between an asset with a beta of 1.8 and a risk-free asset. How much should you invest in the risk-free asset?
- Assume you manage a risky portfolio with an expected rate of return of 15% and a standard deviation of 29%. The T-Bill Rate is 3.5%. You have a new client who has historically invested in a portfolio with a risk premium of 11% and a sigma of 22%. What is your client’s Risk Aversion? (rounded to two places) Group of answer choices 2.15 3.11 2.27 2.76 None of the aboveMulti-Choice Question:Your investment portfolio consists of $10,000 worth of Google stock. Suppose that the risk-free rate is 4%, Google stock has an expected return of 14% and a volatility of 35%, and the market portfolio has an expected return of 10% and a volatility of 18%. Assume that the CAPM assumptions hold.The volatility of the alternative investment that has the lowest possible volatility while having the same expected return as Google is closest to:A. 18.0%B. 30.0%C. 35.0%D. 10.8%Suppose you visit with a financial adviser, and you are considering investing some of your wealth in one of three investment portfolios: stocks, bonds, or commodities. Your financial adviser provides you with the following table, which gives the probabilities of possible returns from each investment: Stocks Bonds Commodities Probability Return Probability Return Probability Return 20% 15% 0.15 20% 0.6 10% 0.2 0.2 12.5% 0.4 7.5% 0.2 0.25 0.2 0.4 3.8% 0.2 0.2 0% To maximize your expected return, you should choose O A. commodities. B. bonds. OC. stocks. OD. All of the portfolios have the same expected return