To your first point, if the price starts going against you significantly, the position is a bad one and your entry did not adequately trade the reversion. Again, the market action you are trying to capture is the issue here, i.e. in an un-hedged trade, donât buy a falling market, buy a reverting market.Quote from lolatency:
it was my understanding that RTM systems required averaging down because otherwise if you only take one position, you run the risk of price going against you and then the mean going below your entry price (assuming you're long) and then, when price reverts, you still have a loss.
â¦
To be mathematically precise, you only know the mean for the distribution of residuals from your start time to your end time, say t. What exactly is your "mean" in the future, at time t+1?
If you argue that for t+1 , we can use the mean we calculated at t, that's one thing; however, the idea behind regressions and splines is that you are constructing a best guess for the mean at various levels, or increments of time that you know about -- not what the future mean is. A better mean is a best guess based on the lagged correlation matrix, not just assuming the same mean at time t.
Let's say S(t) is stock price at time t, and and S(t+1) is the price at t+1. Based on your posts, you're telling me to only worry about the fitted E[S(t)] and that, if at time t, the residual is far enough away from E[S(t)], that you should assume that E[S(t+1)] will be reasonably close to E[S(t)] and that the reversion can be captured.
Basically, you're just gambling that E[S(t)] ~= E[S(t+1)]. There's nothing that really supports this in theory in any deterministic sense. A stochastic shock can dislocate E[S(t+1)] much much further away from E[S(t)]. You end taking the entire risk. With pairs, the idea is just that some of the risk is statistically hedged, but in terms of just trading residuals on a spline, you have not hedged out your risk statistically at all.
This is a valid trading strategy, but the trader is definitely exposed to risk. One 3+ sigma event and you're done for.
The distribution of residuals, while interesting in theory does not provide any better measure of recent value than the most recently available price. Also, the mean at time t+1 doesnât matter. Once a position is entered, position management becomes critical *irrelevant* of where the new mean may be. The reason is that now we are playing the expectancy game. The price might rocket up, or, it may go nowhere or down. Your entry, while likely a good low entry, does not forecast the outcome of the trade but should, over a large enough sample space, produce a positive expectancy outcome. Once the entry has taken place, your exit plan should be based on the probability of the price moving a certain distance for or against you.
As you may have noticed this is not the pairs trading approach, it is a âbuy the reversionâ approach.
âBasically, you're just gambling that E[S(t)] ~= E[S(t+1)]. â
Well, I donât know about that⦠I think youâre getting stuck in the math of this rather than actual market behavior.
Do you know what Impulse Response is? Think about what happens at sharp inflection points. What kind of price action do you usually see? Well, in the buy case, there is usually a quick move down (today's gap is a great example). The shorts have made money and where do you think the shorts put their stops? Just above recent highs if the move was sharp enough, right?
IMO, trading mean reversion is trading where *profit* stops are being hit.
Todayâs market action is a perfect example of what Iâm talking about. What happened at the open today and where did the price start to trade after the opening range? Itâs a concept thatâs tried and true⦠All that really mattered this morning was the gap and the fade.
What type of entry wouldâve been ideal this morning?
What Iâm trying to communicate is that arbitrarily trading forecasts where the current price X sigma away from some mean is not really a robust trading method. Additional logic is required.
Iâve just outlined for you what a good mean reversion system consists of:
1. Identifying sharp moves. âToo quickâ in one direction or the other.
2. Identifying when the sharp move is over. A pause usually.
3. Identifying when the price starts reverting. In the buy case, price will slowly creep up, hitting tight stops early and then a vacuum starts. Ideally you want to trade those stops being hit.
4. Knowing the expectancy of your entry, i.e. the optimal sell point if youâre tricked by a false breakout.
