Justin Corp believes the following probability distribution exists for its stock. What is the coefficient of variation on the company's stock?
State | prob | stock return |
boom | 0.45 | 0.25 |
normal | 0.5 | 0.15 |
recession | 0.05 | 0.05 |
0.0583
0.0531
0.0587
0.0596
Avg ret = Sum [ Prob * Ret ]
SD = SQRT [ SUM ( Prob * (( Ret - Avg Ret) ^2) ) ]
CV = SD / Avg Ret
= 5.83% / 19%
= 0.3069
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