EXERCISE 2 From the data below, find the following: [al expected return [b] Standard deviation [c] Variance [d] Coefficient of variation STATE OF THE RETURN (RB) PROBABILITY (Pi) ECONOMY BOOM 40% 0.4 NORMAL 30% 0.3 AVERAGE 16% 0.2 RECESSION 14% 0.1
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- EXAMPLE• Consider the following information:State Probability ABC, Inc. ReturnBoom .25 0.15Normal .50 0.08Slowdown .15 0.04Recession .10 -0.03• What is the expected return?• What is the variance?• What is the standard deviation?Calculate the range, the expected rate of return, the variance, and the standard deviation for the problem below: Economic Condition Probability Expected Return Better than expected 0.15 0.65 Good 0.25 0.3 Average 0.45 0.15 Poor 0.1 -0.15 Terrible 0.05 -0.35Consider the following information: State Probability ABC, Inc. Return Boom .25 0.15 Normal .50 0.08 Slowdown :15 0.04 Recession .10 -0.03 What is the expected return? What is the variance? What is the standard deviation?
- 1. Calculate the Expected Return and Risk measured in terms of standard deviation and Variance relating to the following information of a Investment avenue: Return in Percentage: -15-10-5+5+10+15 Probability:.10.15.20.20.25.10Part a State Pr(a) ra Pr(b) rb 1 0.2 10% 0.25 12% 2 0.6 15% 0.40 20% 3 0.2 20% 0.35 18% Given the probability distribution above, determine (Calculate) and compare the: Expected return (means) Variance Standard deviation Part b How important is risk to returns and what are the key elements that must be analyzed in this regard before an investment decision is made? Discuss in no more than 200 words.Expected Return, Variance, Std. Deviation and Cofficient of Variation:Magee Inc.'s manager believes that economic conditions during the next year will be strong, normal, or weak, and she thinks that the firm's returns will have the probability distribution shown below. What's the standard deviation of the estimated returns?Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72. State of the Economy Probability of State Occurring Stock's Expected Return Boom 20% 24.15% Normal 50% 13.50% Recession 30% –13.30% Group of answer choices 15.68% 16.39% 14.26% 13.54% 10.69%
- Expected Return, Variance, Std. Deviation and Cofficient of Variation:Magee Inc.'s manager believes that economic conditions during the next year will be strong, normal, or weak, and she thinks that the firm's returns will have the probability distribution shown below. What's the standard deviation of the estimated returns?Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72. State of the Economy Probability of State Occurring Stock's Expected Return Boom 20% 22.20% Normal 50% 12.90% Recession 30% –11.40%Expected Return, Variance, Std. Deviation and Cofficient of Variation:Magee Inc.'s manager believes that economic conditions during the next year will be strong, normal, or weak, and she thinks that the firm's returns will have the probability distribution shown below. What's the standard deviation of the estimated returns?Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72. State of the Economy Probability of State Occurring Stock's Expected Return Boom 30% 21.60% Normal 55% 13.50% Recession 15% –11.35% A. 11.04% B. 12.10% C. 9.47% D. 10.52% E. 9.99%Security A has the following probability distribution of returns:Scenario Probability Return1] 0.1 15%2] 0.8 25%3] 0.1 35%What is the variance for Security A?A 0.002B 0.020C 0.200D 0.300
- In a regression of the single-index model, the R-square is 68%, residual variance is 0.08, beta estimate is 0.7. What is the variance of the market excess return?Evaluating Stand-Alone Risk: Example 9-4, (page 411) Conestoga Ltd. has the following estimated probability distribution of returns. Return Probability 4% .20 12% .50 14% .30 Calculate Conestoga’s expected return, the variance and standard deviation of its expected return and the return’s coefficient of variation. Please explain to me in detail how the variance of returns is obtained. I don't understand the equation used to get the answer.Using the single factor model for firm with a Beta of 1 and when the standard deviation of the market is .3. A) What can we say about the standard deviation of this firm’s stock? B) If a new firm Gexco has a Beta of 2 and has a standard deviation of 0.65, what is this Gexco’s firm specific risk? C) Use the known information to find the ratio of explained to total variance, also known as R-squared. Explain what R-square means using words such as systematic and firm specific risk. D) If Gexco’s expected return is 20% and the markets expected return is 12% and the risk free rate is 5%, come up with an estimate of Alpha. Explain and show how a tracking portfolio could be used and what would result. Is the possible gain risk free? 2).Write out the CAPM Model and explain each part.