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You invest $2,100 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 15% and a standard deviation of 20% and a Treasury bill with a rate of return of 7%. __________ of your complete portfolio should be invested in the risky portfolio if you want your complete portfolio to have a standard deviation of 13%.

Respuesta :

Answer: 65%

Explanation:

The formula that's used for the calculation of the portfolio's standard deviation will be:

(Standard deviation of portfolio)² = (Weight of asset)² × (Standard deviation of asset)²

(Weight of asset)² = (0.13)²/(0.2)² = 0.0169 / 0.04

= 0.4225

Weight of asset = ✓0.4225

Weight of asset = 0.65

Weight of asset = 65%

Therefore, 65% of the portfolio should be invested.

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