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 2PROB
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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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
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
Calculate the expected return for an investment with the following probability distribution.
Return (%)
Probability (%)
-10
20
5
20
10
20
17
30
26
10
Chapter 8 Solutions
CFIN (with Online, 1 term (6 months) Printed Access Card) (New, Engaging Titles from 4LTR Press)
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- The expected rate of return of an investment ________. a. equals one of the possible rates of return for that investment b. equals the required rate of return for the investment c. is the mean value of the probability distribution of possible returns d. is the median value of the probability distribution of possible returns e. is the mode value of the probability distribution of possible returnsarrow_forwardSupposing 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_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
- 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_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 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_forward
- Assuming 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_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_forwardOn the basis of the utility formula below, which investment would you select if you were risk averse with A = 4? Investment Expected return E(r) Standard deviation σ 1 0.12 0.30 2 0.15 0.50 3 0.21 0.16 4 0.24 0.21arrow_forward
- Possible 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_forwardFor 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%arrow_forwardSuppose an investment is equally likely to have a 37.9% return or a -20% return. The total volatility of returns is closest to: a. 28.95% b. 8.38% c. 20.47% d. 40.94%arrow_forward
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