Question
Youareaninvestmentanalyst,andyourtaskistoassesstherelationshipbetween risk and yields for various investment funds. You have compileddataonreturnsand riskinessof30largeinvestmentfunds,using5-yearaveragesforreturns(afterfees)andrisk(measuredbystandarddeviationsofthereturns). InvestmentFund Return (5-year average) St.Dev (5-year average) 1 0.31% 5.93% 2 0.52% 4.97%
Youareaninvestmentanalyst,andyourtaskistoassesstherelationshipbetween risk and yields for various investment funds. You have compileddataonreturnsand riskinessof30largeinvestmentfunds,using5-yearaveragesforreturns(afterfees)andrisk(measuredbystandarddeviationsofthereturns).
InvestmentFund | Return (5-year average) | St.Dev (5-year average) |
1 | 0.31% | 5.93% |
2 | 0.52% | 4.97% |
3 | 1.94% | 3.13% |
4 | 0.84% | 3.22% |
5 | 1.19% | 5.78% |
6 | 0.98% | 8.29% |
7 | 2.36% | 11.82% |
8 | 2.09% | 11.06% |
9 | 2.60% | 12.05% |
10 | 2.87% | 11.23% |
11 | 2.50% | 12.69% |
12 | 2.99% | 15.67% |
13 | 3.16% | 12.81% |
14 | 3.58% | 17.34% |
15 | 3.55% | 17.72% |
16 | 3.05% | 16.41% |
17 | 3.02% | 18.69% |
18 | 4.24% | 18.95% |
19 | 2.87% | 21.29% |
20 | 4.99% | 17.14% |
21 | 5.28% | 21.29% |
22 | 4.71% | 23.33% |
23 | 5.87% | 24.42% |
24 | 5.33% | 23.98% |
25 | 5.21% | 26.29% |
26 | 6.55% | 23.86% |
27 | 5.66% | 23.33% |
28 | 6.48% | 25.33% |
29 | 5.76% | 25.76% |
30 | 6.96% | 28.10% |
- Compute the leastsquaresregression equation,usingreturn as thedependentvariableandstandarddeviationastheindependentvariable.Interprettheresults.(LO1and4;5marks)
- Usethe95%confidenceleveltoshowwhereweshouldexpecttherelationshiptostandatthislevelofcertainty.(LO1and4;5marks)
- Which fund did the best compared with the expected (predicted)result?Which one did the worst?Use residuals of the regression in youranswer.(LO1and4;5 marks)
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