Following are three economic states, their likelihoods, and the potential returns:
Economic State | Probability | Return | |||
Fast growth | 0.24 | 30 | % | ||
Slow growth | 0.36 | 7 | |||
Recession | 0.40 | –19 | |||
Determine the standard deviation of the expected return. (Do not round intermediate calculations and round your answer to 2 decimal places.)
Expected return=Respective return*Respective probability
=(0.24*30)+(0.36*7)+(0.4*-19)=2.12%
probability | Return | probability*(Return-Expected Return)^2 |
0.24 | 30 | 0.24*(30-2.12)^2=186.550656 |
0.36 | 7 | 0.36*(7-2.12)^2=8.573184 |
0.4 | -19 | 0.4*(-19-2.12)^2=178.42176 |
Total=373.5456% |
Standard deviation=[Total probability*(Return-Expected Return)^2/Total probability]^(1/2)
=(373.5456)^(1/2)
=19.33%(Approx).
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The correct formula for excel please!!
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