The figure in the popup window.. shows the one-year return distribution for RCS stock. Calcula a. The expected return. b. The standard deviation of the return. Note: Make sure to round all intermediate calculations to at least five decimal places. Graph/chart Probability (%) 35- 30- 25- 20- 15 10- 5 0 -20% -10% 0% Return 10% 20% - Q Q 2 X
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- Characteristic Line and Security Market Line You are given the following set of data: Historical Rates of Return Year NYSE Stock X 1 -26.5% -11.0% 2 37.2 25.0 3 23.8 13.5 4 -7.2 2.0 5 6.6 11.1 20.5 18.5 7 30.6 19.0 a. Use a spreadsheet (or a calculator with a linear regression function) to determine Stock X's beta coefficient. Do not round intermediate calculations. Round your answer to two decimal places. b. Determine the arithmetic average rates of return for Stock X and the NYSE over the period given. Calculate the standard deviations of returns for both Stock X and the NYSE. Do not round intermediate calculations. Round your answers to two decimal places. Stock X NYSE Average return, FAvg % % Standard deviation, ơ %Based on the following information: State of Economy Probability of State of Economy Return on Stock J Return on Stock K Bear .20 -.030.024 Normal .55.128.052 Bull .25 .208.082 a. Calculate the expected return for each of the stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for each of the stocks. ( Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g , 32.16.) c. What is the covariance between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) d. What is the correlation between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .1616.)Directions: Compute the total returns, the average of returns, and the standard deviation of the following stocks: 1) 2) EGRH Inc. MP, Ltd. STOCK RETURN AVERAGE OF YEA AVERAGE OF RETURNS (x) YEAR STOCK RETURN PRICE (x₁) PRICE RETU Jan-2021 Po Feb-2021 P8.6 Jan-2021 PO. Feb-2021 PO.090 Mar-2021 P0.097 Apr-2021 PO.189 May-2021 PO.164 Mar-2021 P9.14 Apr-2021 P13.30 May-2021 P13 Jun-2021 P60 Jul-2021 16.94 Jun-2021 P0.495 Jul-2021 PO.28 Aug-2021 PO Sep-2021 90 Aug-202 P13.70 Sep-2 P14.88 Oct-2021 0.375 Oct 21 P15.30 Nov-20 PO.325 N2021 P14.30 Dec-2 PO.330 ec-2021 P15.52 3) SD (8) GSM Inc. STOCK YEAR PRICE Jan-2021 P57.70 Feb-2021 P52.90 Mar-2021 P50.95 Apr-2021 P58.25 May-2021 P74.05 Jun-2021 P94.75 Jul-2021 P85.00 Aug-2021 P105.00 Sep-2021 P114.00 Oct-2021 | P101.00 Nov-2021 P100.40 Dec-2021 P113.80 SD (8) = RETURN (x₁) -x)² AVERAGE OF RETURNS (x-x)² (x) SD (8) = ACEE, Inc. YEAR STOCK RETURN PRICE (x₁) Jan-2021 P13.56 Feb-2021 P20.80 Mar-2021 P22.50 Apr-2021 P18.90 May-2021 P17.00…
- Consider the following information: Rate of return State of Economy Probability Stock A Stock B Recession 0.30 -40% 6% Normal 0.50 18% 4% Воom 0.20 142% 2% [Note: take full decimal places in the middle steps and round your FINAL answer to 2 decimal places (i.e. S1.23 or 1.23%)] (a) Calculate the expected return for the two Stocks A and B respectively. (in %) (b) Calculate the standard deviation for the two Stocks A and B respectively. (in %) (c) If you have $2 million to invest in a stock portfolio and your goal is to create a portfolio with an expected return of 16.92%, how much money will you invest in Stock A and Stock B respectively? (d) Based on your answer in part (c), calculate the standard deviation for the portfolio. (in %) (e) If enough stocks (i.e. 100 randomly selected stocks) had been included in the portfolio, what happen to the standard deviation for the portfolio? Explain. [within 100 words]Directions: Compute the total returns, the average of returns, and the standard deviation of the following stocks: 2) 1) EGRH Inc. DMP, Ltd. AVERAGE OF RETURNS (XI-X)² (x) YEAR AVERAGE OF RETS STOCK RETURN RICE YEA (x₁) Jan-2021 P8.30 Feb-2021 P8.60 Jan-2021 P0.088 Feb-2021 P0.090 Mar-2021 P0.097 Apr-2021 PO.189 May-2021 PO.164 Mar-2021 P9.14 Apr-2021 P13.30 May-2021 P13 Jun-2021 P0.495 Jun-2021 P 0 Jul-2021 PO.280 Jul-2021 6.94 Aug-2021 P0.455 Aug-202 P13.70 Sep-2021 P0.390 Sep-2 P14.88 Oct-2021 P0.375 0 21 P15.30 Nov-2021 PO.325 -2021 P14.30 Dec-2021 P0.330 Dec-2021 P15.52 SD (8) = 3) STOCK RETURN PRICE (x₁) GSM Inc. YEAR Jan-2021 P57.70 Feb-2021 P52.90 Mar-2021 P50.95 Apr-2021 P58.2 May-2021 P7 05 Jun-2021 34.75 Jul-2021 P85.00 Aug-20 P105.00 Sep-21 P114.00 O 2021 P101.00 N-2021 P100.40 Dec-2021 P113.80 SD (8) = STOCK RETURN CE (x₁) AVERAGE OF RETINS ²) (x₁-x)² SD (8) = ACEE, Inc. YEA Jan-2021 P156 Feb-2021 P20.80 Mar-2021 P22.50 Apr-2021 P18.90 May-2021 P17 Jun-2021 P76 Jul-2021…A stock has the following prices at the end of each of the following 5 years. What is the geometric average return over the period? Year 20x1 20x2 20x3 20x4 20x5 b. 1.17% 4 c. 2.26% d. 1.94% Price $2.17 $2.19 $2.12 $2.51 $2.3 Finish review
- Directions: Compute the returns, average of returns and standard deviation of the following stocks and the PSEI. 1. 2. AGI SM Year Stock Return x x (x--x)² Year Stock Return x x (x-x)² Price Price 30/1/2014 27.100 30/1/2014 704.500 28/2/2014 30.000 28/2/2014 694.000 31/3/2014 28.500 31/3/2014 705.000 30/4/2014 31.150 30/4/2014 725.000 30/5/2014 29.650 30/5/2014 786.000 30/6/2014 29.100 30/6/2014 816.000 31/7/2014 26.350 31/7/2014 797.000 29/8/2014 24.600 29/8/2014 772.000 30/9/2014 26.000 30/9/2014 803.500 31/10/2014 25.300 31/10/2014 783.500 28/11/2014 24.800 28/11/2014 804.500 29/12/2014 22.550 29/12/2014 815.000 PSEI Year Stock Return x X (x-X)? 30/6/2014 6,844.31 Price 31/7/2014 6,864.82 30/1/2014 6,041.19 29/8/2014 7,050.89 3. 28/2/2014 6,424.99 30/9/2014 7,283.07 31/10/2014 7,215.73 31/3/2014 6,428.71 28/11/2014 7,294.38 30/4/2014 6,707.91 29/12/2014 7,230.57 30/5/2014 6,647.65Your stock's returns for the past four years are as follows. t Return t1 19.79% t2 -0.58% t3 8.55% t4 4.68% Compute the geometric average return for this stock. Please enter your answer as a PERCENT rounded to 2 decimal places.1. Use the one-period valuation model P = E/(1 + k) + P1/(1 + k) to price the following stocks (remember to decimalize percentages). Earnings (E = $) 1.00 1.00 1.00 0 0 0 1.00 1.50 2.00 0 Required return (k = %) 10 15 20 5 5 5 10 10 10 10 Expected Price Next Year (P1 = $) 20 20 20 20 30 40 50 50 50 1 Answer: Price Today (P = $) 19.10 18.26 17.50 19.05 28.57 38.10 46.36 46.82 47.27 0.91
- The next year's return on stock X is expected to be either -7% with probability 0.2 or 20% with probability 0.8. Find the stnadard deviation of the returns. a.12.37% b.11.10% c.12.88% d.11.69% e.10.80%Problems BETA COEFFICIENTS AND RATES OF RETURN You are given the following set of data: 8A-1 Historical Rates of Return (7) Year Stock Y(F,) NYSE (r.) 1 3.0% 4.0% 2 18.2 14.3 9.1 19.0 4 (6.0) (14.7) 5 (15.3) (26.5) 33.1 37.2 6.1 23.8 3.2 (7.2) 14.8 6.6 10 24.1 20.5 11 18.0 30.6 Mean 9.8% 9.8% 13.8 19.6 a. Construct a scatter diagram graph (on graph paper) showing the rela- tionship between returns on Stock Y and the market, as shown in Figure 8A.1; then draw a freehand approximation of the regression line. What is the approximate value of the beta coefficient? (If you have a calculator with statistical functions, use it to calculate beta.) b. Give a verbal interpretation of what the regression line and the beta coefficient show about Stock Y's volatility and relative riskiness as compared with other stocks. c. Suppose the scatter of points had been more spread out, but the regression line was exactly where your present graph shows it. How would this affect (1) the firm's risk if the…Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? A. Arithmetic B. Geometric