The volatility of the market portfolio is 10% and it has an expected return of 8%. The risk-free rate is 3%. calculate the beta of the portfolio.

0.82466

Explanation:

You did not give the other information required to solve the question but here are some information that was gottten.

Portfolio Weight

HCE Corp = 0.25

Green Miget = 0.31

Alive and Well = 0.44

Volatility

HCE Corp = 10%

Green Miget = 27%

Alive and Well = 14%

Correlation with the Market Portfolio

HCE Corp = 0.43

Green Miget = 0.54

Alive and Well = 0.43

Beta of HCE Corp = (0.43 × 0.10)/0.10

= 0.43

Beta of Green Miget = (0.54 × 0.27)/0.10

= 1.458

Beta of Alive and Well

= (0.43 × 0.14 ) /0.10

= 0.602

The beta of the portfolio will then be calculated as the portfolio Weight multiplied by the beta of very stick and this will be

= (0.25 × 0.43) + (0.31 × 1.458) + (0.44 × 0.602)

= 0.1075 + 0.45198 + 0.26488

= 0.82436

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