Question: Consider a hypothetical equal-weighted index created using the three stocks below: Stock Price o n 3/18/20 Price o n 6/18/20 Outstanding Shares (mil) on 3/18/20
Consider a hypothetical equal-weighted index created using the three stocks below:
| Stock | Price on 3/18/20 | Price on 6/18/20 | Outstanding Shares (mil) on 3/18/20 | Outstanding Shares (mil) on 6/18/20 |
| A | $10 | $11 | 400 | 400 |
| B | $40 | $48 | 100 | 100 |
| C | $200 | $150 | 10 | 10 |
None of the stocks pay dividends.
On 3/18/2020, as a young asset manager, you were asked by a client to create a portfolio to track the said three-stock equal-weighted index. You did exactly as ask and created this tracking portfolio with an initial investment of $12,000:
You figured out that you need to purchase [ Select ] ["100", "200", "300", "400"] shares of Stock A, [ Select ] ["100", "200", "300", "400"] shares of Stock B, and [ Select ] ["20", "50", "100"] shares of Stock C. Then, you made the purchases.
On 6/18/2020, you also reviewed the portfolio in order to see if it stays equal-weighted after the price changes:
The actual portfolio weights of the three stocks are: wA= [ Select ] ["0.29", "0.36", "0.42", "0.58"] , wB= [ Select ] ["0.19", "0.27", "0.39", "0.41"] , wC= [ Select ] ["0.11", "0.25", "0.48", "0.64"]
As you can see, the portfolio needs to be re-balanced so that it can resume equal weights. In order to do so, you will need to [ Select ] ["buy", "sell"] [ Select ] ["10", "20", "30"] shares of Stock X, [ Select ] ["buy", "sell"] [ Select ] ["10", "15", "20"] shares of Stock Y, and [ Select ] ["buy", "sell"] [ Select ] ["5", "7", "9", "13"] shares of Stock Z.
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
