Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks? Complet
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- Using the data in the following table,, estimate the: a. Average return and volatility for each stock. b. Covariance between the stocks. c. Correlation between these two stocks. a. Estimate the average return and volatility for each stock. The average return of stock A is %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Year Stock A 2010 2011 2012 2013 2014 2015 - 1% 6% 2% -5% 4% 6% Stock B 20% 9% 8% -3% - 5% 21% Print Done ☑ ClearThe table given below reports last five years data on rates of return on two stocks. Calculate and give the final answer. Year Stock A Stock B 21 |-.05 |-.09 15 -.12 .05 4 14 10 5 .11 15 1. Arithmetic mean for both the stocks. 2. Standard deviation for both stocks 3. Covariance 4. Correlation coefficient. 2. 3.Using the data in the following table,, estimate the: a. Average return and volatility for each stock. b. Covariance between the stocks. c. Correlation between these two stocks. a. Estimate the average return and volatility for each stock. The average return of stock Ais %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Year 2010 2011 2013 Stock A - 5% 17% - 6% Stock B 29% 21% - 1% 2012 7% 4% 2014 1% - 15% 2015 13% 20%
- The table below presents the returns on stocks ABC and XYZ for a five-year period. Year ABC XYZ 1 0.16 0.12 2 0.42 0.62 3 -0.02 -0.23 4 -0.26 -0.62 5 0.48 0.52 Calculate the average return, and standard deviation of stock ABC and XYZ. Also calculate the correlation between the two stocks. What does the correlation tell you about the return movements of the two stocks? Calculate the weight of each stock in the minimum variance portfolio, assume the expected return equals to average return for each stock. Find the mix of stocks ABC and XYZ that gives a portfolio on the efficient frontier AND demonstrate why this portfolio is on the efficient frontier by showing that there exists another portfolio of stocks ABC and XYZ that has the same level of risk (portfolio standard deviation) but inferior return. Hint: manipulate the weights you get from part b. Suppose the risk-free rate is 6%. Also assume the…The following table represents the rate of returns of two stocks in different economic conditions along with their probabilities (the data are also uploaded on moodle) RATES OF RETURN ON STOCKS EXPECTED ECONOMIC PROBABILITY STOCK A STOCK B CONDITIONS RECESSION 0.55 -0.04 -0.02 STABLE 0.35 0.25 0.30 EXPANDING 0.10 0.15 0.20 Answer the following by using mathematical calculations: a) Calculate the expected rate of return for each stock respectively. Explain what the expected value implies. b) Calculate the standard deviation for each stock respectively. Explain what the standard deviation implies. c) If you were an investor in which stock you were going to invest? Justify your answer. d) Calculate the covariance between Stock A and stock B. Discuss. e) Calculate the expected return and the standard deviation of the portfolio consisting 40% in stock A and 60% in stock B. f) Discuss the risk and return associated with investing i All of your funds in stock A ii. All of your funds in stock…Here are the returns on two stocks. January February March April May June July August Digital Cheese +14 -4 44449 +6 +8 -5 +4 -3 -9 Executive Fruit +8 +2 +5 +12 3643 +3 +6 -4 -3 Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks?
- Consider the three stocks in the following table. P, represents the price at time t, and Q, represents the total shares outstanding at time t. Calculate the rate of return on a price-weighted index of three stocks for the first period (t=0 to t=1). Table 2: Data for Q4 & Q5 Q0 P1 Q1 PO 100 50 105 50 A B 200 100 210 100 C 300 100 250 100The following are the end-of-month prices for both the Standard & Poor's 500 Index and Nike's common stock. a. Using the data in the popup window, calculate the holding-period returns for each of the months. b. Calculate the average monthly return and the standard deviation for both the S&P 500 and Nike. c. Develop a graph that shows the relationship between the Nike stock returns and the S&P 500 Index. (Show the Nike returns on the vertical axis and the S&P 500 Index returns on the horizontal axis.) d. From your graph, describe the nature of the relationship between Nike stock returns and the returns for the S&P 500 Index.Here are the returns on two stocks. January February March April May June July August Digital Cheese +14 -4 +6 +8 -5 +4 -3 -9 Executive Fruit +8 +2 +5 +12 +3 +6 w At t -4 -3 Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? 4 b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks?
- Here are the returns on two stocks. Digital Executive Cheese Fruit January +16 +9 February -4 +1 March +6 +7 April +8 +16 May -5 +2 June +4 +7 July -4 August -9 -3 Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks? Complete this question by entering your answers in the tabs below. Req A1 Req A2 Req B Req C Calculate the variance and standard deviation of each stock. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Variance Standard deviation Digital Cheese Retum Executive Fruit Return % %Here are the returns on two stocks. Digital Executive Cheese Fruit January +15 +8 February -2 +1 March +4 +6 April +6 +16 May -3 +2 June +2 +6 July -1 -2 August -7 -1 Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. c. Is the variance more or less than halfway between the variance of the two individual stocks? Complete this question by entering your answers in the tabs below. Req A1 Req A2 Req B Req C Calculate the variance and standard deviation of each stock. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Variance Standard deviation Digital Cheese Retum Executive Fruit Return % %(10). The table below presents the price of stock A and the points of a market index over the last four moths. Month 1 3 4 A 100 105 108 103 1112 1150 1200 1190 a. The holding period logarithmic return of stock A equals: A. 12%; B. 8.85%; C. 13,97%; D. b. The beta coefficient of stock A equals: A. 0,64; B. 0,19; C. 1,64; D. ...... % c. The estimated alpha coefficient from the market model equals d. The coefficient of determination from the market model equals