suppose you invest $7,000 in a stock with a beta of 0.5 and $3,000 in another stock with a beta of 1.4. what's the beta of the resulting portfolio? round to two decimal places.



Answer :

The beta of the resulting portfolio is 0.77, round to two decimal places.

The weighted beta of each stock in the portfolio can be added to determine the portfolio's beta.

Weighted beta of a stock = stock's percentage in the portfolio x stock's beta times.

Total value of the portfolio =  $7,000 +  $3,000 =  $10,000

percentage of stock A in the portfolio = $7,000 / $10,000 = 0.70

percentage of stock B in the portfolio = $3,000 / $10,000 = 0.30

weighted beta of stock A = 0.70 x 0.5 = 0.35

weighted beta of stock B = 0.30 x 1.4 = 0.42

Portfolio beta = 0.35 + 0.42 = 0.77.

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