Quantitative Problem: You are given the following probability distribution for CHC Enterprises:
State of Economy | Probability | Rate of return |
Strong | 0.25 | 18% |
Normal | 0.55 | 8% |
Weak | 0.2 | -4% |
What is the stock's expected return? Round your answer to 2
decimal places. Do not round intermediate calculations.
%
What is the stock's standard deviation? Round your answer to two
decimal places. Do not round intermediate calculations.
%
What is the stock's coefficient of variation? Round your answer to two decimal places. Do not round intermediate calculations.
Probability (P) | RETURN (X) | (P * X ) | P * (X -Average Return of X)^2 | |
STRONG | 25% | 18 | 4.5 | 24.5025 |
NORMAL | 55% | 8 | 4.4 | 0.0055 |
WEAK | 20% | -4 | -0.8 | 29.2820 |
TOTAL | 8.10 | 53.7900 | ||
Expected Return = | (P * X) | |||
8.10% | ||||
VARIANCE = | P * (X -Average Return of X)^2 | |||
53.7900 | ||||
Standard Deviation = | Square root of (P * (X -Average Return of X)^2) | |||
Square root of 53.79 | ||||
7.33 | ||||
Coefficient of Variation = | Standard Deviation / Mean | |||
7.33 / 8.10 | ||||
0.90 |
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