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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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