Given the following probability distribution, compute for Outcome Probability Expected Return 20% 10% 2 60% 15% 3 20% 20% 1. the expected return а. 10% b. 12% C. 15% d. 20% 2. Standard deviation of returns a. 5.50% b. 6.18% 3.16% 10.00% C. d.
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A: expected return is the amount of profit an investor can expect receiving on an investement.
Q: R
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- An asset has an average return of 10.11 percent and a standard deviation of 19.02 percent. What range of returns should you expect to see with a 68 percent probability? Multiple Choice −18.42% to 38.64% −46.95% to 67.17% −8.91% to 11.31% −27.93% to 48.15% −8.91% to 29.13%Assume that an investment is forecasted to produce the following returns: a 20% probability of a 12% return; a 50% probability of a 16% return; and a 30% probability of a 19% return What is the standard deviation of return for this investment? A) 5.89% B) 16.1% C) 2.43% D) 15.7%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
- For investment A, the probability of the return being 20.0% is 0.5, 10.0% is 0.4, and -10.0% is 0.1 Compute the standard deviation for the investment with the given information. (Round your answer to one decimal place.) a. 85.00% b. 15.00% c. 34.00% d. 17.00% e. 9.00%Consider 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?An investment has a 20% chance of producing a 25% return, a 60%chance of producing a 10% return, and a 20% chance of producinga 215% return. What is its expected return? (8%) What is itsstandard deviation? (12.9%)
- Part 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.Below are the returns for two assets; State of nature r1 r2 probability Weak growth 15% 15% 1/3 Strong growth 30% 12 1/3 Very strong growth 45% 9 1/3 Expected returns 30% 12 total 1.0 Calculate the two variances and Cov (r1, r2). If assets 1 and 2 are combined 50-50 into a portfolio, what is the variance of this portfolio? Show your calculations.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:.10.15.20.20.25.10
- Suppose that the returns on an investment are normally distributed with an expected return of 16% and standard deviation of 3%. What is the likelihood of receiving a return that is equal to or less than 19%? (Hint: the area under a curve for 1 std dev is 34.13%, 2 std dev is 47.73% and 3 std dev is 49.87%.).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?Consider the following returns and states of the economy for TZ.Com.: Economy Probability Return Weak 15% 2% Normal 50% 8% Strong 35% 15% What is the standard deviation of TZ's returns?