The standard deviation of any portfolio of risky assets is equal to the weighted average of the individual assets' standard deviations. O True O False
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- Expected returns and standard deviations of three risky assets are as follows: Expected Return Standard Deviations Correlations A B C A 11% 30% 1.0 0.3 0.15 B 14.5% 45% 0.3 1.0 0.45 C 9% 30% 0.15 0.45 1.0 1. Calculate the expected return and standard deviations of a portfolio of stocks A, B and C. Assume an equal investment in each stock. 2. Compute the Sharpe ratio of a portfolio that has 30% in A, 30% in B and 40% in C. The risk-free interest rate is 4%. 3. Assume a portfolio of asset B and C. Determine the weight in asset B, such that the total portfolio risk is minimized.Assume that you have opportunity to invest BD 25,000 in one of the following common stock. Year Stock (A) Stock (B) 2019 12% 9% 2018 15% 13% 2017 18% 17% 2016 21% 21% Then you plan to invest in both stocks (A and B) as a portfolio investment and the weight of investment will be as follow: Stock Weight 55% 45% Correlation Required: a. Calculate the expected return for both stock Calculate the expected risk based on standard deviation for both stock Calculate the expected risk based on coefficient variation (CV) Interpret which stock that you would like to invest based on risk and return concept Calculate the expected return of portfolio Calculate the expected risk of portfolio based on standard deviation b. c. d. e. Dell Update f. 8 updates are InstallPlease answer part A-D and include a short explanation for each part of how you arrived at your answer. A) If a stock has a beta coefficient, b, equal to 2.2, the risk premium associated with the market is 9 percent, and the risk-free rate is 8.8 percent, application of the capital asset pricing model indicates the appropriate return should be: B) Steve Brickson currently has an investment portfolio that contains four stocks with a total value equal to $80,000. The portfolio has a beta (b) equal to 2.3. Steve wants to invest an additional $20,000 in a stock that has b = 4.5. After Steve adds the new stock to his portfolio, what will be the portfolio's beta? C) You hold a diversified portfolio consisting of a $5,000 investment in each of 20 different common stocks. The portfolio beta is equal to 2.2. You have decided to sell one of your stocks, a lead mining stock whose b =1.8, for $5,000 net and to use the proceeds to buy $5,000 of stock in a steel company whose b =3.7. What will be…
- Qn4: Assume a two-stock portfolio created with $50,000 is invested in both HT and Collections. The expected returns are given below: Calculate the portfolio's return for each state of economy and fill them in the last column, under "Portfolio" (Hint: The portfolio's expected return is a weighted average of the returns of the portfolio's component assets). Calculate the portfolio's expected return (Hint: You have to incorporate the probability distribution of each state of economy). Calculate the portfolio's standard deviation. Economy Recession Below average Average Above average Boom Prob. HT 0.1 -27.0% 0.2 -7.0% 0.4 15.0% 0.2 30.0% 0.1 45.0% Coll 27.0% 13.0% 0.0% -11.0% -21.0% Portfolioa. Calculate both the arithmetic and the geometric average return of the following investment;Year 1 2 3 4Return 10.5% 12.2% -5.5% 2.8%(4 marks)b. Teena is considering investing in Stock A and stock B. She plans to invest $ 25,000 in the low riskstock and $ 50,000 in the high-risk stock. You have been given the following information about thesetwo stocks in the table below:Stock A BE(R) 15% 10? 25% 22%Correlation between A and B 0.20Based on the given information above, you are required to:i. Calculate the portfolio weightsii. Calculate the portfolio return.iii. Calculate the portfolio risk.iv. Compare portfolio risk with the individual stock risks and identify the benefit of thediversification of the portfolio.Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?
- Accounting Use the following information: Stock A B Good state 12% 17% Bad state 0% -1% Assume there is 60% probability that the good state occurs and 40% chance the bad state occurs. What is the expected return of a portfolio that is 9% invested in stock A and 1-9% invested in B? (Please use 5 decimal places, this should be written in percentage return, so an answer of 23.143% should be written at .23143)6. Stock A and B have expected return and standard deviation respectively as follow Stock Expected return Standard deviation A 11% 13% B 23% 18% Correlation between A and B= 0.45 Risk-free rate = 4% %3D a) Which portfolio should be invested if investor is considering between Risky portfolio 1 (30% in stock A and 70% in stock B) and portfolio 2 (25% in stock A and 75% in stock B) b) If Investor add a risk-free asset C with a return of 5% into the risky portfolio that was choosed in part (a) to form a complete portfolio. What should the optimal proportions of risky portfolio and risk-free asset for an investor whose degree of risk aversion is 3. c) Calculate the expected return and standard deviation of the complete portfolioRequired: a. The expected returns for stock A and stock B b. The standard deviation of stock A and stock B's returns. c. Assume that you invest 40% of your wealth in stock A and 60% of your wealth in the S&P 500. Calculate the expected return of your portfolio.
- You own a portfolio that has $3,00o0 invested in Stock A and $4,100 invested in Stock B. Assume the expected returns on these stocks are 10 percent and 16 percent, respectively. What is the expected return on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return %Given the following information on a investment portfolio: Stock Name Expected returns $invested in stock Standard deviation of returntesla 15.5% 3750 10.3%microsoft 9.8% 5000 5.6%pfizer 13.8% 1250 12% Which stock should have the most systematic risk?1. The following table presents the expected returns of three stocks and the risk free rate. в 4% Stock A 8% Expected return What is the expected return and risk on an equally weighted portfolio composed of these four assets? The standard deviation of stock A is 10% and the covariance between A and B equals 0.0045. The correlation matrix between A, B and C is: 14% 4% Correl B A 1 0.3 0.7 B 0.3 0.5 0.5 Combining stocks A and C in a portfolio in equal proportions will result in a variance of 1.95%. 0.7