Question
The table below sets out the monthly total return, market capitalization, and research spending for ten firms over the four months from January 2020 to
The table below sets out the monthly total return, market capitalization, and research spending for ten firms over the four months from January 2020 to April 2020 inclusive. Each figure was observed at the end of the corresponding month.
| Monthly Return (%) | |||||||||
Firm1 | Firm2 | Firm3 | Firm4 | Firm5 | Firm6 | Firm7 | Firm8 | Firm9 | Firm10 | |
Jan | 9% | -9% | -3% | 5% | 10% | -3% | 5% | 10% | 5% | -10% |
Feb | -8% | 10% | -6% | -7% | 1% | -2% | -7% | 6% | 4% | 9% |
Mar | -3% | -10% | -1% | -7% | 2% | 0% | -5% | -7% | 6% | 10% |
Apr | 10% | -10% | -4% | 4% | 9% | 8% | -2% | 2% | 4% | 4% |
| ||||||||||
| Market Capitalization ($ bn) | |||||||||
Firm1 | Firm2 | Firm3 | Firm4 | Firm5 | Firm6 | Firm7 | Firm8 | Firm9 | Firm10 | |
Jan | 306 | 255 | 505 | 693 | 104 | 147 | 310 | 432 | 546 | 612 |
Feb | 282 | 281 | 475 | 644 | 105 | 144 | 288 | 458 | 568 | 667 |
Mar | 273 | 252 | 470 | 599 | 107 | 144 | 274 | 426 | 602 | 734 |
Apr | 300 | 227 | 451 | 623 | 117 | 156 | 268 | 434 | 626 | 763 |
| ||||||||||
| Research Spending (%) | |||||||||
Firm1 | Firm2 | Firm3 | Firm4 | Firm5 | Firm6 | Firm7 | Firm8 | Firm9 | Firm10 | |
Jan | 0% | 11% | 5% | 0% | 2% | 17% | 13% | 7% | 2% | 3% |
Feb | 1% | 17% | 4% | 4% | 3% | 20% | 7% | 20% | 7% | 0% |
Mar | 12% | 1% | 9% | 4% | 10% | 15% | 14% | 3% | 8% | 4% |
Apr | 18% | 0% | 13% | 2% | 0% | 14% | 1% | 16% | 4% | 18% |
Calculate the value-weighted average returns in April 2020 for each of the quintile portfolios formed by sorting on lagged Research Spending. Use lagged market capitalization for calculating value-weighted returns. (Hint: There are five quintile portfolios, each containing one fifth of all the stocks)
Calculate the value-weighted quintile hedge portfolio returns (aka factor portfolio returns equal to Quintile 5 minus Quintile 1 returns) in February, March, and April 2020.
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