Question

In: Finance

The stock has the following returns and probabilities of those returns. What is the expected return...

The stock has the following returns and probabilities of those returns. What is the expected return and risk of the stock using the data? Use your knowledge (weighted average of returns to calculate expected return and standard deviation of returns to calculate risk).

return probability
6% 70%
15% 30%

Also, How do you calculate portfolio beta? I have this problem and have not been able to calculate the correct answer.

Using the table below what is the beta of the portfolio?

You have 50 shares of X; 80 shares of Y; 75 shares of Z

Stock Price Beta

X

$30

1.10

Y $20 0.92
Z $60 1.48

Solutions

Expert Solution

Probabilty Return Probability*
Return
Return-
Expected Return[D]
Probability*D*D
0.7 0.06 0.042 -0.027 0.0005103
0.3 0.15 0.045 0.063 0.0011907
Expected Return
= Sum of Probability*Return
0.087 = 8.7% Variance
=Sum of [Probability*D*D]
0.001701
Standard Deviation
=Variance^1/2
0.041243181 = 4.1243%
Share Price Number of Shares Beta Amount Invested
[Share Price*Number of Shares]
Amount Invested*
Beta
30 50 1.1 1500 1650
20 80 0.92 1600 1472
60 75 1.48 4500 6660
7600 9782
Portfolio Beta = Sum of (Amount Invested*Beta)/
Sum of Amount Invested =
9782/7600 = 1.287105263

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