Question

Risk preferences Sharon Smith, the financial manager for Barnett Corporation, wishes to select one of three prospective investments X. Y, and Z. Assume that the meąsure of risk Sharon cares about is an assets standard deviation. The expected returms and standard deviations of the investments are as follows E a. If Sharon were risk neutral, which investment would she select? Explain why b. If she were risk averse, which investment would she select? Why? c. if she were risk seeking, which investments would she select? Why? a fourth investment, W is available lt otters an expected return of 13%, and it has a standard deviation of 9% lf Sharon is m k averse, can you say which investment she will choose? Why or why not? Are there any investments that you are certain she will not choose? a. If Sharon wore risk neutral, which investment might she select? (Selel Data Table (Click on the icon located on the top-nght corner of the data table below in order to D. None of the three investments 12% 12% 12% 8% O B. I O C. Investment Z O D. None of the three investments Print Done c. If she were risk seeking which investments might she select? (Choos A. Type here t 0 Hi e rch
c. If she were risk seeking, which investments would she select? Why? d Suppose a fourth investment w is available it offers an expected return of 13%, and it has a standard deviation of 9% lf Sharon bs nsk averse, can you say which investment she will choose? Why or why not? Are there any investments that you are certain she will not choose? B. None of the three investments O c. Investment Z. O D. Investment Y d. Suppose a fourth investment, ws available. It otters an expected return of 15%, an it has a standard de ation of 9% r sharon is risk averse, can you say which investment she will choose? Why or why not? Are there any investments that you are certain she will not choose? (Select the best answer below) A. If Sharon were nsk averse it s not clear whether she would prefer mvestment w or From part (b), Sharon prefers Х to Ya dZ, but investment w has a lower expected return and standard deviation. Thus, Sharons preference between W and X will depend on whether the return expected on W is sufficient in other words, Sharons choice will depend on her risk tolerance (i e, her degree of risk aversion) sation for the extra risk. In other words, Sharons choice will depend on her risk tolerance (ie, her degree of risk aversion) for the extra risk. In other words, Sharons choice will depend on her risk tolerance (i e, her degree of risk aversion) words, Sharons choice wil depend on her risk tolerance (i e, her degree of risk aversion) for the extra O B. It Sharon were risk averse, it is not clear whether she would prefer investment W or Y From part (b) Sharon prefers Y to X and Z, but investment W has a higher expected return and standard deviation. Thus, Sharons preference between W and Y will depend on whether the extra retun expected on Wis ° C. It were risk averse, it is not clear whether she would prefer investment W or X. From part (b), Sharon prefers X to Y and X will depend on whether the extra return expected on Wis From part (b), Sharon prefers Z to X and Y, but investment W has a higher expected return and standard deviation. Thus, Sharons preference between W s O D. Sharon were nsk averse, it is not clear whether she would prefer r t W or Z higher expected return and standard deviation. Thus, Sharons preference between W and Z will depend on sufficient compensation for the extra risk In other the extra return expected on W is Click to select your answer ype here
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A B C D E F G H I J K L
2
3 Investment Expected Return Standard Deviation
4 X 12% 7%
5 Y 12% 8%
6 Z 12% 9%
7
8 a)
9
10 Risk neutral investor look for higher expected return irrespective of the risks.
11
12 Since all the investments has same return but the risks are different,
13 therefore the investment with lowest risk to return ratio is to be selected.
14
15 Thus the investment X should be selected.
16
17 Hence the option (A) is correct.
18
19 b)
20
21 Risk averse investor like to accept lower return at lower risk than higher return at higher risk depending on risk aversion.
22
23 Since all the investments has same return but the risks are different,
24 therefore the investment with lowest risk to return ratio is to be selected.
25
26 Thus the investment X should be selected.
27
28 Hence the option (A) is correct.
29
30 c)
31
32 Risk seeking investor like to accept higher return at higher risk than lower return at lower risk.
33
34 Since all the investments has same return but the risks are different,
35 therefore the investment with lowest risk to return ratio is to be selected.
36
37 Thus the investment X should be selected.
38
39 Hence the option (A) is correct.
40
41 d)
42
43 Investment Expected Return Standard Deviation
44 X 12% 7%
45 Y 12% 8%
46 Z 12% 9%
47 W 15% 9%
48
49 Since investment X has lowest risk to return ratio amount X, Y and Z,
50 therefore investment X is preferred compared to investment Y and Z.
51
52 Investment W has higher return and risk compared to investment X.
53 Since the investment W has both risk and return higher than for investment X,
54 therefore it is difficult to choose between W and X as it depends on the degree of risk aversion
55 of investor.
56
57 Hence the option (c) is correct.
58
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