Answer: 10.46%
Step-by-step 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%