Question
Following table shows information of probable scenarios and associated return of an equity Y. ( Note: You must have to show the calculation ) State
Following table shows information of probable scenarios and associated return of an equity Y. (Note: You must have to show the calculation)
State | Probability of State | Return in state |
Excellent | 0.25 | 0.35 |
Good | 0.45 | 0.18 |
Poor | 0.25 | -0.05 |
Crash | 0.1 | -0.52 |
A) Calculate expected return of the equity Y. (5 points)
B) Calculate standard deviation of the equity Y. (5 points)
C) Consider a risk-free asset X of which the rate of return is 3%. Create a portfolio that consists of risky equity Y and risk-free asset X Calculate portfolio return and standard deviation for each of following set of allocation of investment budget.
Allocation in equity | Allocation in risk-free asset | Portfolio return | Portfolio SD |
0.1 | 0.9 |
|
|
0.2 | 0.8 |
|
|
0.3 | 0.7 |
|
|
0.4 | 0.6 |
|
|
0.5 | 0.5 |
|
|
0.6 | 0.4 |
|
|
0.7 | 0.3 |
|
|
0.8 | 0.2 |
|
|
0.9 | 0.1 |
|
|
1 | 0 |
|
|
Draw a capital allocation line with horizontal axis showing portfolio SD and vertical axis showing portfolio return. (5 points)
d).Calculate and interpret the sharp ratio. (5 points)
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