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please answer those two questions
1.

You are creating a portfolio of two stocks. The first one has a standard deviation of 20% and the second one has a standard d
2.
The standard deviation of a stocks annual returns is 35.0%. The standard deviation of market returns is 26.0%. If the correl
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Answer #1

1)

Standard deviation of portfolio = (W12Q12 + W22Q22 + 2 * W1* W2 * CORR * Q1 * Q2)1/2

Standard deviation of portfolio = (0.720.22 + 0.320.52 + 2 * 0.7 * 0.3 * 0.2 * 0.2 * 0.5)1/2

Standard deviation of portfolio = (0.49*0.04 + 0.09*0.25 + 0.0084)1/2

Standard deviation of portfolio = (0.0196 + 0.0225 + 0.0084)1/2

Standard deviation of portfolio = 0.2247 or 22.47%

2)

Stock beta = (Standard deviation of stock / standard deviation of market) * beta

Stock beta = (0.35 / 0.26) * 0.2

Stock beta = 1.346154 * 0.2

Stock beta = 0.27

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