5. Given the following expectations for the next year, what is the expected return, standard deviation, and beta of Stock A? Use the excel sheet we covered to find the answer. Returns Probability Stock A Market 0.10 0.05 0.02 0.25 0.09 0.08 0.30 0.13 0.12 0.25 0.19 0.15 0.10 0.21 0.16
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
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- You have estimated the following probability distributions of expected future returns for Stocks X and Y: Stock X Stock Y Probability Return Probability Return 0.1 -12 % 0.2 4 % 0.1 11 0.2 7 0.3 14 0.3 11 0.3 30 0.2 17 0.2 40 0.1 30 What is the expected rate of return for Stock X? Stock Y? Round your answers to one decimal place.Stock X: % Stock Y: % What is the standard deviation of expected returns for Stock X? For Stock Y? Round your answers to two decimal places.Stock X: % Stock Y: % Which stock would you consider to be riskier? is riskier because it has a standard deviation of returns.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%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?
- Consider the following average annual returns for Stocks A and B and the Market. Which of the possible answers best describes the historical betas for A and B? Years Market Stock A Stock B 1 0.03 0.16 0.05 2 −0.05 0.20 0.05 3 0.01 0.18 0.05 4 −0.10 0.25 0.05 5 0.06 0.14 0.05 a. bA > +1; bB = 0. b. bA = 0; bB = −1. c. bA < 0; bB = 0. d. bA < −1; bB = 1. e. bA > 0; bB = 1.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. GeometricQ3) Consider the following two companies and their forecasted returns for the upcoming year: (picture) A. What is the standard deviation of the returns on each company's stock (Company A, and B) (write all formulas). B. Of these two stocks, which is riskier? Justify your answer
- . You have observed the following returns over time: Stock X Stock Y Year Price Div Price Div Market Returns 2005 20 0 11 0 0 2006 24 1.2 13 1.6 0.25 2007 26 0.5 17 0.5 0.18 2008 31 1 20 0.9 0.11 2009 33 1.5 23 1.2 0.12 2010 40 2 27 1.5 0.15 a. Calculate the annual returns for each stock (2006-2010) b. Calculate the average returns for each of the stocks and the market c. Calculate the covariance between the stocks d. Compute the portfolio return and portfolio risk if the Stock A and Stock B are combined equally in a portfolio.For the coming year you have determined that the following possibilities are most likely for stock A: Economic State Probability Return Good 0.60 20 Bad 0.40 1 What is the expected return for stock A?The following table is an analyst's best guess for the likelihood of various states of the economy next year and the corresponding return on the stock of EFG Corp. State of the Expected Return Economy Probability (%) Ideal 0.2 20.0 Good 0.4 15.0 Fair 0.3 8.0 Poor 0.1 -10.0 What is the expected percentage rate of return on EFG Corp. stock? Group of answer choices 3.4 10.4 10.8 11.4 not enough information
- Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset's expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: David owns a two-stock portfolio that invests in Falcon Freight Company (FF) and Pheasant Pharmaceuticals (PP). Three-quarters of David's portfolio value consists of FF's shares, and the balance consists of PP's shares. Each stock's expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Probability of Occurrence Falcon Freight Pheasant Pharmaceuticals 0.20 0.35 0.45 Strong Normal Weak 40% 24% -32% 56% 32% -40% Calculate expected returns for…For the coming year you have determined that the following possibilities are most likely for stock A: Economic State Probability Return Good 0.60 22 Bad 0.40 -10 What is the standard deviation for stock A? answer format: show your answer in percent (without the % sign) and to 1 decimal place. For example, 12.56 should be shown as 12.6A stock recently has been estimated to have a beta of 1.24:a. What will a beta book compute as the “adjusted beta” of this stock?b. Suppose that you estimate the following regression describing the evolution of beta over time:βt = .3 + .7βt−1What would be your predicted beta for next year?