Question

What is the beta for the following portfolio? Stock Investment 16,000 7,500 9,000 15,000 11.500 Beta 0.65 0.85 1.25 0.89 1.42
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Answer #1

Beta of a portfolio is the weighted average of betas of stocks of the portfolio

Weights of each stock

= Value of investment in the stock / Value of total portfolio

This has been calculated in the following table :

Calculations A B = A / Total A C D = B x C
Stock Investment Weight Beta Weighted average beta
A 16000 0.2712 0.65 0.18
B 7500 0.1271 0.85 0.11
C 9000 0.1525 1.25 0.19
D 15000 0.2542 0.89 0.23
E 11500 0.1949 1.42 0.28
Total 59000 1.0000 0.98

So, as per above calculations, the beta of the portfolio is 0.98

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