Question

In: Finance

what is the beta of a three-stock portfolio including $2500 invested in stock A with a...

what is the beta of a three-stock portfolio including $2500 invested in stock A with a beta of .90, $4000 invested in stock B with a beta of 1.05, and $3500 invested in stock C with beta of 1.73?

Solutions

Expert Solution

Beta of three stock portfolio 1.25
Working:
Beta of portfolio is calculated as follows:
Stock Weight Beta
a b a*b
Stock A              0.25 0.90           0.23
Stock B              0.40 1.05           0.42
Stock C              0.35 1.73           0.61
Total           1.25
Thus, Beta of three stock portfolio is           1.25
Working:
Weight of individual asset is calculated as follows;
Stock Investment / Total Investment = Weight
Stock A $       2,500 $       10,000 =           0.25
Stock B           4,000           10,000 =           0.40
Stock C           3,500           10,000 =           0.35
Total         10,000           1.00

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