Portfolio beta is the weighted average beta of stocks in a portfolio. | ||||||||
Now, | ||||||||
Treasury bills normally considered as Risk Free Assets and beta | ||||||||
of a Risk Free Asset is 0. | ||||||||
Stock A has a risk level equivalent to that of the overall market and | ||||||||
Beta of a market portfolio is always 1, so beta of Stock A is also 1. | ||||||||
Portfolio Beta | ||||||||
= Weight of Stock A * Beta of Stock A + Weight of Stock B * Beta of Stock B | ||||||||
+ Weight of Treasury Bills * Beta of Treasury Bills | ||||||||
1.05 = 50% * 1 + 20%*Beta of Stock B + 30%*0 | ||||||||
1.05 = 0.5 + 0.20*Beta of Stock B + 0 | ||||||||
0.20 * Beta of Stock B = 1.05 - 0.5 | ||||||||
0.20 * Beta of Stock B = 0.55 | ||||||||
Beta of Stock B = 0.55/0.20 | ||||||||
Beta of Stock B = 2.75 | ||||||||
So, | ||||||||
Beta of Stock B = 2.75 | ||||||||
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