clarifications.md
February 2, 2022 ยท View on GitHub
These are my efforts to clarify the rules. They are not the official rules or official responses.
1. Investment performance
Question 1(a)
Is the investment portfolio by which intended to be:
- One large portfolio comprising stocks and ETFS
- Five portfolios of at most 5 stocks, and another five portfolios of at most 5 ETFs each?
Working assumption
It's just one big portfolio with both stocks and ETFs.
Resolution:
It's just one big portfolio with both stocks and ETFs.
Question 1(b)
How are information ratios combined across the overlapping time-periods, and possible portfolios?
Working assumption
Denominator and numerator are totalled first, leading to a single information ratio.
Question 1(c):
Should the return formula be modified to account for shorts?
1 + \sum. w_i \left( \frac{S'}{S} - 1 \right)
We can't collect the -1 unless sum w_i=1 which is not true if there are shorts.
Resolution:
Formula is corrected and no longer assumes sum of weights is unity.
2. Benchark portfolio
Question:
Why is the benchmark chosen to be the zero portfolio (rather than say, equal positive weights)? The information ratio is undefined at this point.
Resolution:
Portfolios must be defined away from the origin.
3. Corporate events
Question(s)
3a. If a company defaults, will the RET for the day be -1 and 0 thereafter?
3b. If a company defaults, will the rank be 1 (or 1.5 if two companies default)?
3c. If a company de-lists, will the rank be 1 (or 1.5 if two de-list, etc)?
3d. If a company is taken private, will the last recorded stock price persist into the future?
3e. If a company is aquired, will the last recorded stock price persist into the future?
Working assumption:
As inferred from the questions.
4. Dividends
Question
Do the prices used include dividends?
Working assumption
Yes, and pretty clearly indicated by the wording "total return". Same for stock splits.
Rounding
At present the rules state that submissions not summing to unity will be disqualified. However this is a set of measure zero. In theory it is still a proper scoring rule without the constraint so one might wonder if it is necessary at all.
Question
What is the tolerance for sum of probabilities?
Resolution
This is updated. Five decimal places.