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Sagot :
Based on the probability distributions of the funds and the correlation, the following is true:
- Investment proportions would be 33% Equity and 67% debt.
- Standard deviation would be 21.16%.
What would be the Investment proportions?
The expected return can be found as:
= (Return on stock x Weight of stock) + (Return on debt x Weight of debt)
As we already have the return as 12%, we can solve the formula for weights :
12% = (16% x Weight of equity ) + (10% x Weight of debt)
12% = (16% x W of equity ) + (10% x (1 - W of equity))
12% = 0.16W + 10% - 0.1W
2% = 0.06W
W = 2% / 0.06
= 33%
Equity is 33% so Debt is 67%.
What would be the standard deviation?
= √(Weight of stock ² x Standard deviation of stock ² + Weight of debt ² x Standard deviation of debt² + 2 x standard deviation of stock x standard deviation of debt x Correlation x weight of stock x weight of debt )
= √(33%² x 34% ² + 67%² x 25%² + 2 x 34% x 25% x 0.11 x 0.33 x 0.67)
= 21.16%
Find out more on portfolio standard deviation at https://brainly.com/question/20722208.
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