View Point Industries has forecasted a rate of return of 20.00% if the economy booms (25.00% probability); a rate of return of 15.00% if the economy is in a growth phase (45.00% probability); a rate of return of 2.50% if the economy is in decline (20.00% probability); and a rate of return of -15.00% if the economy is in a depression (10.00% probability). What is View Point's standard deviation of returns

10.46%

Explanation:

Based on the information given in the question, View Point's standard deviation of returns will be calculated thus:

Firstly, we have to calculate the expected rate of return which will be the respective returns multiplied by the respective probabilties and this will be:

= (0.2 × 0.25) + (0.15 × 0.45) + (0.025 × 0.2) + (-0.15 × 0.10)

=10.75%

Then, we'll calculate the total probability and this will be:

= [0.25 × (20 - 10.75)²] + [0.45 × (15 - 1.75)²] + [0.2 × (2.5 - 10.75)²] + [0.1 × (-15 - 10 75)²]

= 21.3906 + 8.1281 + 13.6125 + 66.3063

= 109.7375%

Therefore, View Point's standard deviation of returns will be:

= [Total of Probability × (Return-Mean)²/✓Total probability

=10.46%

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