Well, I sat down and came up with some bankroll theory. Maybe this is of interest to some of you.
It's a long post but it may be worth the read.
So far, my biggest problem with moving down limits was the fact that you tend to lose a lot of time. Let's say you lose 8 buy-ins (from now on referred to as "BI") at NL200, then you move down to NL100. At NL100, you lose initially, but after a while you start to win again and you make back 8 BI.
This is exactly the problem: Losing 8 BI at NL200 lost you twice as much money as you won when you made back 8 BI at NL100.
Therefore, I've developed a system that may not only help psychologically when building a bankroll but also stop you from losing so much time.
Here's an example. Let's assume a starting bankroll of $6,000, we play NL200. My old rules say that we have to move down if we hit 20 BI, i.e. $4,000. Let's say that this actually happens, we move down to NL100 and we lose another 4 BI, for a new bankroll of $3,600. We lost a total of 14 BI worth $2,400.
Now we start to win again, and we win a total of 20 BI. We need 30 BI to move up a level, i.e. $6,000 for NL200. 20 BI at NL100 is worth $2,000, so our final bankroll at the end of this example is $5,600 beause we never get to move up to NL200!
Even though we made a profit of 6 BI, our final bankroll is less than our starting bankroll.
Now we look at the same example using my 5-3-2 system. This system says that initially we will move down if we lose 5 BI.
Level 1 in our case is NL200. We will move down if we lose 5 BI. This actually happens, and we move to NL100 with $5,000 left. The level 1 baseline is $5,000 + 1 NL100 BI = $5,100.
Level 2 is NL100. Again, we will move down if we lose 5 BI. This actually hapens, and we move to NL50 with $4,500 left. The level 2 baseline is $4,500 + 1 NL50 BI = $4,550.
Level 3 is NL50. As always, we will move down if we lose 5 BI. This time, we only lose 4 BI (as in the previous example) when we finally start to win again.
As in the previous example, we will win 20 BI, however we will move up as soon as we hit the baselines!
Profit 5 BI at NL50, bankroll $4,300 -> $4,550, move up to NL100.
Profit 5.5 BI at NL100, bankroll $4,550 -> $5,100, move up to NL200.
Profit 9.5 BI at NL200, bankroll $5,100 -> $7,000
In this example, we finished with a profit of 5 full NL200 buy-ins.
Now, it is very likely that the 20 BI winning streak actually contains a few dips. This is where the 5-3-2 comes into play.
Let's say, the 20 BI winning streak looks like this: Win 6 BI, lose 3 BI, win 8 BI, lose 4 BI, win 8 BI, lose 2 BI, win 7 BI.
If we have already been to a level, then our moving down requirements go from losing 5 BI to losing 3 BI.
In our example, this means the following:
Profit 5 BI at NL50, bankroll $4,300 -> $4,550, move up to NL100
Profit 1 BI, lose 3 BI for net profit of -2 BI at NL100, bankroll $4,550 -> $4,350
Profit 7.5 BI at NL100, bankroll $4,350 -> $5,100, move up to NL200
Profit 0.5 BI, lose 3.5 BI for net profit of -3 BI at NL200, bankroll $5,100 -> 4,500
Since we've already been to this level, our moving down requirements have gone down. We must drop down if we lose 3 BI which is the case here. Our new level 1 baseline is $4,500 + 1 NL100 BI = $4,600.
Lose 0.5 BI, win 1.5 BI for net profit of 1 BI at NL100, bankroll $4,500 -> $4,600, move up to NL200
Win 6.5 BI, lose 2 BI, win 7 BI for net profit of 11.5 BI at NL200, bankroll $4,600 -> $6,900
As you can see, in all cases we keep our bankroll pretty safe, we have the psychological advantage of losing less money when we're in a losing streak, and when we win, we win back more money.
Our dropping down requirements go from 5 BI to 3 BI to 2 BI. Then they stay at 2 BI. There's virtually no chance of going broke.
I know it's a long read, and I don't know if anybody even got to this sentence, but I think it's a sound theory. It's not going to magically make you money or anything, it's just a somewhat different way of moving up and down limits.
P.S.: I forgot to mention: if you reach the inital peak bankroll (in our case $6,000), then the moving down requirements should obviously be reset to 5 BI!