QUESTION 9 Stock X has a standard deviation of 25 percent per year and stock Y has a standard deviation of 16 percent per year. The correlation between Stock X and Stock Y is zero. You have a portfolio of these two stocks wherein Stock X has a portfolio weight of 50 percent. What is your portfolio standard deviation? Use the portfolio variance formula TIPS: Min WB = 0²A-(0A x 0B PAB)[(02A + o2B)] -2(0A OB PAB) Since, PAB is zero, the above equation reduces to Minimum variance WB-02A/0²A+ PAB) 1-WB-weight -WA Use Portfolio variance after this point. COA 2.2% OB. 11.76% OC 14.84% OD None
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- K Consider the following six months of returns for two stocks and a portfolio of those two stocks: (Click the icon to view the monthly returns.) Note: The portfolio is composed of 50% of Stock A and 50% of Stock B. a. What is the expected return and standard deviation of returns for each of the two stocks? b. What is the expected return and standard deviation of returns for the portfolio? c. Is the portfolio more or less risky than the two stocks? Why? + a. What is the expected return and standard deviation of returns for each of the two stocks? The expected return of Stock A is%. (Round to one decimal place.)K Consider the following six months of returns for two stocks and a portfolio of those two stocks: (Click the icon to view the monthly returns.) Note: The portfolio is composed of 50% of Stock A and 50% of Stock B. a. What is the expected return and standard deviation of returns for each of the two stocks? b. What is the expected return and standard deviation of returns for the portfolio? c. Is the portfolio more or less risky than the two stocks? Why? a. What is the expected return and standard deviation of returns for each of the two stocks? The expected return of Stock A is%. (Round to one decimal place.) Monthly Returns Stock A Stock B Portfolio Jan 2% 0% % Feb 5% -3% 1% Print Mar -6% 8% 1% Apr 3% -1% 1% Done May -2% 4% 1% Jun 4% -2% 1% www. - XProblem: 1. Given six years of percentage return of Stock A and Stock B, identify the expected return, and risk of each instrument. Assume that each year, has equal chances of reoccurrence. Stock A Stock B 20X1 10 20 20X2 -15 -20 20X3 20 -10 20X4 25 30 20X5 -30 -20 20X6 20 60 a. Which of the two stocks is riskier? Why? b. Which of the stocks is expected to yield a higher return? Why? c. Where will you invest? Problem Solving: 1. Suppose you want to buy 10,000 shares of MegaWorld Corporation at a price of 4.00. You put up P10,000 and borrow the rest. What does your account balance sheet would look like? What is your margin? 2. Supposed that in the previous problem you shorted 10,000 shares instead of buying. The initial margin is 60 percent. What does the account balance sheet look like? 3. You deposited P100,000 cash in brokerage account and short sell P200,000 of stocks on margin.…
- Stocks A and B have expected returns of 0.119 and 0.133, respectively. You form a portfolio consisting of $5,000 in Stock A and $6,000 in Stock B. What is your portfolio's expected return? Enter your answer as a decimal and show 4 decimal places. Type your answer... Previousc) Stock 1 has a standard deviation of return of 1%. Stock 2 has a standard deviation of return of 8%. The correlation coefficient between the two stocks is 0.5. If you invest 60% of your funds in stock 1 and 40% in stock 2, what is the standard deviation of your portfolio? Please provide the details of your calculations and discuss your results.Consider the following six months of returns for two stocks and a portfolio of those two stocks: (Click the icon to view the monthly returns.) Note: The portfolio is composed of 50% of Stock A and 50% of Stock B. a. What is the expected return and standard deviation of returns for each of the two stocks? b. What is the expected return and standard deviation of returns for the portfolio?
- You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, Stock A and Stock B, have the following historical returns: Year TB 2017 2018 2019 -7.00% 25.00 -13.00 2020 49.00 2021 13.00 FA -16.00% 41.00 24,00 -5.00 23.00 a. Calculate the average rate of return for each stock during the 5-year period. Do not round Intermediate calculations. Round your answers to two decimal places. Stock A: % Stock B: b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? Do not round intermediate calculations. Round your answers to two decimal places. Negative values, if any, should be Indicated by a minus sign. Year 2017 2018 2019 % Portfolio % % % % 2020 2021 Average return c. Calculate the standard deviation of returns for each stock and for the…Suppose you allocate 2/5 of your portfolio value to a stock that has an expected return of 8% and the rest to another stock that has an expected return of 17%. What is the expected return on your two-stock portfolio? Note: Show your answer in units of percents, use plain numbers with at least two digits after the decimal (e.g., for 12.34%, type 12.34).Given six years of percentage return of Stock A and Stock B, identify the expected return, and risk of each instrument. Assume that each year, has equal chances of reoccurrence. Stock A Stock B 20X1 10 20 20X2 -15 -20 20X3 20 -10 20X4 25 30 20X5 -30 -20 20X6 20 60 a. Which of the two stocks is riskier? Why? b. Which of the stocks is expected to yield a higher return? Why? c. Where will you invest?
- Assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. Your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 27% 33 40 Your client decides to invest in your risky portfolio a proportion (y) of his total investment budget with the remainder in a T-bill money market fund so that his overall portfolio will have an expected rate of return of 15%. Required: a. What is the proportion y? (Round your answer to 1 decimal place.) Proportion y % 4You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, Stock A and Stock B, have the following historical returns: Year rA rB 2014 -20.00% -5.00% 2016 42.00 15.00 2017 20.00 -13.00 2018 -8.00 50.00 2019 25.00 12.00 a. Calculate the average rate of return for each stock during the 5-year period. b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? c. Calculate the standard deviation of returns for each stock and for the portfolio. d. Suppose you are a risk-averse investor. Assuming Stocks A and B are your only choices, would you prefer to hold Stock A, Stock B, or the portfolio? Why?You decide to form a portfolio of the following amounts invested in the following stocks. What is the beta of the portfolio? SET YOUR CALCULATOR TO 4 DECIMAL PLACES THEN INPUT THE ANSWER ROUNDING TO 2 DECIMALS i.e. if your answer is 1.2455, enter it as 1.25. Amount Beta Expected Return $9,370 0.69 10.50% Microsoft $5,598 1.6 16.90% $4,261 1.1 15.75% $4,668 2.39 11.80% Stock Apple Ford Time Warner