Given the following information, what is the standard deviation for this stock? Probability of state of economy State of the economy Boom Normal Recession O 9.36 percent O 6.87 percent O 5.70 percent O 7.55 percent 0.12 0.75 0.13 4 Rate of return 0.19 0.11 -0.09
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- What is the standard deviation of Stock A returns given the information below about its returns across future states of nature? Enter return in decimal form, rounded to 4th digit, as in "0.1234"What is the standard deviation of stock A if it has the following probabilities and rate of returns. Probability Return 0.3 -5% 0.4 14% 0.3 11% a. 9.11% b. 9.40% c. 8.62% d. 8.21%From the following informatongiven below , calculate and differentiate between a. Arithmetic Mean, b. Geometric Mean and c. Standard Deviation Partiulard stock A stock B Year 1 13% 19% Year 2 15% 23% Year 3 12% 20% Year 4 11% 18%
- Given the returns and probabilities for the three possible states listed below, calculate the covariance between the returns of Stock A and Stock B. For convenience, assume that the expected returns of Stock A and Stock B are 8.10 percent and 11.60 percent, respectively. (Round answer to 4 decimal places, e.g. 0.0768.) Good OK Poor Covariance Probability 0.22 0.60 0.18 Return on Stock A 0.30 0.10 -0.25 Return on Stock B 0.50 0.10 -0.30Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.Astromet is financed entirely by common stock and has a beta of 1.20. The firm pays no taxes. The stock has a price-earnings multiple of 11.0 and is priced to offer a 10.9% expected return. The company decides to repurchase half the common stock and substitute an equal value of debt. Assume that the debt yields a risk-free 4.6%. Calculate the following: Required: a. The beta of the common stock after the refinancing b. The required return and risk premium on the common stock before the refinancing c. The required return and risk premium on the common stock after the refinancing d. The required return on the debt e. The required return on the company (i.e, stock and debt combined) after the refinancing If EBIT remains constant: f. What is the percentage increase in earnings per share after the refinancing? g-1. What is the new price-earnings multiple? g-2. Has anything happened to the stock price? Complete this question by entering your answers in the tabs below. Reg A to E Reg F to G2…
- Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?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: 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…
- Question 1 Refer to the following observations for stock A and the market portfolio in the table:Month Stock A Market portfolio1 0.30 0.122 0.24 0.083 -0.04 -0.104 0.10 -0.025 0.06 0.086 0.10 0.07 a) Calculate the main statistic measures to explain the relationship between stock A and the market portfolio:• The sample covariance between rate of return for the stock A and the market;• The sample Beta factor of stock A;• The sample correlation coefficient between the rates of return of the stock A and the marketBased on the following information, what is the diversifiable proportion for the stock? Standard deviation of the stock: .5 Standard deviation of the stock index: 1 Correlation coefficient between the stock and the stock index: .6What is the expected return of Stock B given the information below about its returns across future states of nature? Enter return in decimal form, rounded to 4th digit, as in "0.1234"