Question

You decide to form a portfolio of the following amounts invested in the following stocks. What is the expected return of the portfolio?
Stock Amount Beta Expected Return

Apple $1,000 2.40 10.50%

Microsoft $7,000 0.73 16.90%

Ford $6,000 1.95 15.75%

Time Warner $6,000 1.27 11.80%

Answer 1

Answer: Expected return of the portfolio = 14,70%

Explanation: First we must add the amounts to calculate the total capital:

1000 + 7000 + 6000 + 6000 = $20000

The performance of a portfolio is given by the sum of each individual expected return weighted by its weight in capital.

Therefore we must calculate the weight (w) of each type of action:

W (apple) = 1000 / 20000 = 0,05

W (microsoft) = 7000 / 20000 = 0,35

W (ford) = 6000 / 20000 = 0,30

W (time warner) = 6000 / 20000 = 0,30

Expected return of the portfolio : (0,1050 . 0,05) + (0,1690 . 0,35) + (0,1575 . 0,30) + (0,1180 . 0,30) = 0,14705 = 14,70%