CFIN (with Online, 1 term (6 months) Printed Access Card) (New, Engaging Titles from 4LTR Press)
5th Edition
ISBN: 9781305661653
Author: Scott Besley, Eugene Brigham
Publisher: Cengage Learning
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Chapter 8, Problem 3PROB
Summary Introduction
Expected
Standard deviation is the financial measure of risk and stability on the
Coefficient of variance is a measure used to calculate the total risk per unit of return of an investment.
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Compute the (a) expected return, (b) standard deviation, and (c) coefficient of variation for investments with the following probability distributions:
Probability r/A r/B
0.3 30.0% 5.0%
0.2 10.0 15.0
0.5 -2.0 25.0
What are the (a) expected return, (b) standard deviation, and (c) coefficient of variation for an investment with the following probability distribution?
Probability Payoff
0.2 19.0%
0.7 9.0
0.1 4.0
Calculate the (a) expected return, (b) standard deviation, and (c) coefficient of variation for an investment with the following probability distribution:
Probability Payoff
0.45 32.0%
0.35 -4.0%
0.20 -20.0%
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CFIN (with Online, 1 term (6 months) Printed Access Card) (New, Engaging Titles from 4LTR Press)
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- Compute the (a) expected return, (b) standard deviation, and (c) coefficient of variation for investments with the following probability distributions: (LO 8-2) Probability rA rB 0.3 30.0% 5.0% 0.2 10.0 15.0 0.5 - 2.0 25.0arrow_forwardCalculate the expected return for an investment with the following probability distribution. Return (%) Probability (%) -10 20 5 20 10 20 17 30 26 10arrow_forwardAn investment has probabilities 0.15, 0.34, 0.44, 0.67, 0.2 and 0.15 of giving returns equal to 50%, 39%, -4%, 20%, -25%, and 42%. What are the expected returns and the standard deviations of returns?arrow_forward
- Supposing the return from an investment has the following probability distribution Return Probability R (%) 8 0.2 10 0.2 12 0.5 14 0.1 Required: What is the expected return of the investment? What is the risk as measured by the standard deviation of expected returns?arrow_forwardNormal probability distribution Assuming that the rates of return associated with a given asset investment are normally distributed; that the expected return, r, is 10.4%; and that the coefficient of variation, CV, is 1.01, answer the following questions: a. Find the standard deviation of returns, σr. b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%.arrow_forwardAssuming that the rates of return associated with a given asset investment are normally distributed; that the expected return, r, is 18.7%; and that the coefficient of variation, CV, is 1.88, answer the following questions: a. Find the standard deviation of returns, sigma Subscript rσr. b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%.arrow_forward
- The standard deviation of return on investment a is 0.10, while the standard deviation of return on investment b is 0.04. If the correlation coefficient between the returns on A and B is_____________. A. -0.0447 B. -0.0020 C. 0.0020 D. 0.0447arrow_forwardConsider two assets. Suppose that the return on asset 1 has expected value 0.05 and standard deviation 0.1 and suppose that the return on asset 2 has expected value 0.02 and standard deviation 0.05. Suppose that the asset returns have correlation 0.4.Consider a portfolio placing weight w on asset 1 and weight 1-w on asset 2; let Rp denote the return on the portfolio. Find the mean and variance of Rp as a function of w.arrow_forwardGg.50.arrow_forward
- Assuming the following returns and corresponding probabilities for Asset D: Rate of Return Probability 10% 30% 15% 40% 20% 30% Compute for: a. Expected rate of return b. The standard deviation c. The coefficient of variationarrow_forwardPossible returns and their probabilities for an asset is given in the table below. The expected return is 30.25%. Calculate the standard deviation of the asset's return. Probability 0.40 0.45 0.15 13.92% O 17.84 % 18.55% O 19.09% 16.59% Return 0.52 0.17 0.12arrow_forwardGiven the following probability distribution of returns: Probability Return 0.1 -15.0% 0.25 0.0% 0.3 8.5% 0.25 12.0% 0.1 32.0% what is the expected return?arrow_forward
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