October 23rd, 2004, 4:23 am
I think ( if I don't get it wrong) that your question reduces to the question of whether VaR is a good risk measure in general. Then you can get your answer from the literature. It appears that assuming a normal distribution could lead to very inaccurate results and that other fatter tailed distributions could give better estimates of risk. However, if you use weekly or monthly returns the empirical distribution is closer to the normal than when you use daily returns. Thus, in this case the normal distribution could give you satisfactory results. Regarding the historical simulation there is an issue with the number of returns available for VaR analysis. The empirical distribution is very discrete at the tails. Thus, it is very easy to significantly underestimate or overestimate risk. Also, you should considere the different points of view of regulators and investment banks. What could be good risk estimates for regulators might not be good for IB and vice versa. Maybe a good idea is to use Lopez type backtesting techniques to assess your VaR estimates. In summary, I don't think you have a straight forward and simple answer to your question. It depends on so many things like confidence level, frequency of returns, time period, perspective, sectors, particular stocks, aims (reporting purposes or setting trading limits).....Hope that helpsKostas