Gitman: Principl Manageri Finance_15 (15th Edition) (What's New in Finance)
15th Edition
ISBN: 9780134476315
Author: Chad J. Zutter, Scott B. Smart
Publisher: PEARSON
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Chapter 8, Problem 8.15P
Learning Goal 4
P8- 15 Correlation, risk, and return Matt Peters wishes to evaluate the risk and return behaviors associated with various combinations of assets V and W under three assumed degrees of correlation: perfectly positive, uncorrelated, and perfectly negative. The expected returns and standard deviations calculated for each of the assets are shown in the following table.
| Asset | Expected return,
|
Standard deviation, σ |
| V | 8% | 5% |
| W | 13 | 10 |
- a. If the
returns of assets V and Ware perfectly pos1t1vely correlated (correlation coefficient = + 1), describe the range of (1) expected return and (2) risk associated with all possible portfolio combinations. - b. If the returns of assets V and W are uncorrelated (correlation coefficient = 0), describe the approximate range of (1) expected return and (2) risk associated with all possible portfolio combinations.
- c. If the returns of assets V and W are perfectly negatively correlated (correlation coefficient = –1 ), describe the range of (1) expected return and (2) risk associated with all possible portfolio combinations.
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Course: FinanceAs a great investor, you are interested in 3 assets to invest: A, B and C. A financial advisor tells you that the returns on the assets are independent of each other, and you are given the following data:
Asset
A
B
C
E(Ri)
0.05
0.035
0.06
Variance
0.0015
0
0.008
You have not yet analyzed what your degree of risk aversion (A) is, but you know that your utility function behaves as follows: U[ E(Rp)] = E(Rp) - 0.5 * A * Variance. (See attached image for a better understanding)
You are asked to:(a) Find the optimal portfolio with these 3 assets {called wA, wB and wC}.b) Calculate the expected return and risk of the optimal portfolio for the following degrees of risk aversion (A):(i) A = 5(ii) A = 10(iii) A = 16
Please ASAP
a. Using the data in the table below alculate the following performance measures.i. Sharpe ratioii. Treynor measureiii. Jensen’s alphaiv. M-squared measurev. T-squared measure, andvi. Appraisal ratio (information ratio)
Fund
Average return
Standard Deviation
Beta coefficient
Unsystematic Risk
A
0.240
0.220
0.800
0.017
B
0.200
0.170
0.900
0.450
C
0.290
0.380
1.200
0.074
D
0.260
0.290
1.100
0.026
E
0.180
0.400
0.900
0.121
F
0.320
0.460
1.100
0.153
G
0.250
0.190
0.700
0.120
Market
0.220
0.180
1.000
0.000
Risk free return
0.050
0.000
b. Out of the performance measures you calculated in part a., which one would you use undereach of the following circumstances:i. You want to select one of the funds as your risky portfolio.ii. You want to select one of the funds to be mixed with the rest of your portfolio,currently composed solely of holdings in the market-index fund.iii. You want to select one of the funds to form an actively managed stock portfolio
The probability distributions of expected returns for the assets are shown in the following table:
Asset A
Prob
Return
0.2
-5%
0.4
10%
0.4
15%
a) Calculate the expected return for asset A.
b) Calculate the standard deviation for asset A.
Chapter 8 Solutions
Gitman: Principl Manageri Finance_15 (15th Edition) (What's New in Finance)
Ch. 8.1 - What is risk in the context of financial decision...Ch. 8.1 - Prob. 8.2RQCh. 8.1 - Compare the following risk preferences: (a) risk...Ch. 8.2 - Explain how the range is used in scenario...Ch. 8.2 - Prob. 8.5RQCh. 8.2 - Prob. 8.6RQCh. 8.2 - What does the coefficient of variation reveal...Ch. 8.3 - What is an efficient portfolio? How can the return...Ch. 8.3 - Prob. 8.9RQCh. 8.3 - How does international diversification enhance...
Ch. 8.4 - Prob. 8.11RQCh. 8.4 - Prob. 8.12RQCh. 8.4 - Prob. 8.13RQCh. 8.4 - What impact would the following changes have on...Ch. 8 - Prob. 1ORCh. 8 - Prob. 8.1STPCh. 8 - Prob. 8.2STPCh. 8 - Prob. 8.1WUECh. 8 - Prob. 8.2WUECh. 8 - Prob. 8.3WUECh. 8 - Prob. 8.4WUECh. 8 - Prob. 8.5WUECh. 8 - Prob. 8.6WUECh. 8 - Prob. 8.1PCh. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Prob. 8.4PCh. 8 - Prob. 8.5PCh. 8 - Learning Goal 2 P8-6 Bar charts and risk Swans...Ch. 8 - Prob. 8.7PCh. 8 - Prob. 8.8PCh. 8 - Prob. 8.9PCh. 8 - Prob. 8.10PCh. 8 - Prob. 8.11PCh. 8 - Prob. 8.12PCh. 8 - Prob. 8.13PCh. 8 - Prob. 8.14PCh. 8 - Learning Goal 4 P8- 15 Correlation, risk, and...Ch. 8 - Prob. 8.16PCh. 8 - Learning Goal 5 P8- 17 Total, nondiversifiable,...Ch. 8 - Prob. 8.18PCh. 8 - Prob. 8.19PCh. 8 - Prob. 8.20PCh. 8 - Prob. 8.21PCh. 8 - Prob. 8.22PCh. 8 - Prob. 8.23PCh. 8 - Prob. 8.24PCh. 8 - Prob. 8.25PCh. 8 - Prob. 8.26PCh. 8 - Prob. 8.27PCh. 8 - Learning Goal 6 P8- 28 Security market line (SML)...Ch. 8 - Prob. 8.29PCh. 8 - Prob. 8.30PCh. 8 - Prob. 8.31PCh. 8 - Spreadsheet Exercise Jane is considering investing...
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