Weight of each stock in a portfolio
= Value of investment / Total value of the portfolio
= Value of stock A or B or C or D / $8,000
Weighted average return of a portfolio
= Sum of Weight of each stock with their respective returns
= Weight of A x Return of A + Weight of B x Return of B + Weight of C x Return of C + Weight of D x Return of D
The following table shows the calculations
| Calculations | A | B = A / 8,000 | C | D = B x C |
| Stock | Investment | Weight | Return | Weighted Average return |
| Stock A | 1000 | 0.125 | 12% | 1.50% |
| Stock B | 2000 | 0.250 | 15% | 3.75% |
| Stock C | 1000 | 0.125 | 9% | 1.13% |
| Stock D | 4000 | 0.500 | 39% | 19.50% |
| Total | 8000 | 1.000 | 25.88% |
3. Weighted average At the beginning of the year, you invested $8,000 in four stocks, but...
a. Using a
40/60 split, what is the weighted average standard deviation of the
two stocks?
b. Recalculate the standard deviation of a
portfolio of the two stocks
c. What is the reduction in standard deviation
that results from the creation of a portfolio of the two
stocks?
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Stocks A and B have the following historical returns:
1. Calculate the arithmetic average return for each stock.
2. Calculate the standard deviation of returns for each
stock.
3. Assume that 50% of your portfolio is invested in Stock A and
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