Quote from nonlinear5:
This is an interesting one. I started analyzing it with the expectation that I would get an unambiguous result from it, but it came out not so clear. So, let's assume that each setup (let's call them setup A and setup B) had triggered 100 times. This is what would happen:
Net Profit: $5500 for both A and B (draw)
Expectancy: $55 for both A and B (draw)
Profit Factor: 1.3 for A, 2.22 for B (B wins)
Standard deviation of trades: 420 for A, 317 for B (B wins)
Kelly Criterion: 12.7% for A, 5.5% for B (A wins)
System Quality Number (aka Van Tharp): 1.31 for A, 1.74 for B (B wins)
So, discarding the draws, setup B beats setup A on all metrics except Kelly. However, Kelly suggests that you can trade setup A with 2.3 times the size of B, so in fact, setup A may be preferable to B.
As a side note, both A and B have highly skewed distributions, which are way far from normal distributions, so something like the omega functions (which is a relatively new way to evaluate the performance) is more appropriate.
Interesting to see how these various measures stack up. Thanks!
Although both strategies (A & B) have the same expectation, B requires more capital to trade (as WideTaliz pointed out earlier ... "larger drawdown"). In my view, that would make B less attractive.
This is perhaps easier to see if B is replaced by a new C (which is just an exaggerated version of B) as follows:
- win rate 0.1%,
- potential profit $100,000,
- potential loss is $45.05.
Expectancy is still $55.
The problem with C is that on average a winning trade comes once every 1,000 trades, so on average you need to sit through a losing streak of 999 trades (on average). i.e. average drawdown will be almost $45,000.
In the case of A, a winning trade comes on average once every 0.55 trades, and on average you need to sit through a drawdown of $183 (45% x $407) between each winner.
So, on average, for A you need to sit through a drawdown of $183 between winners. For C you need to sit through a drawdown of $45,000 between winners.
Both make the same average amount per trade (i.e. after 100,000 trades, they should have made approx the same amount, i.e. $55 x 100,000).
But you need a lot more capital to trade C in order to sit through the drawdowns between winners.
So better to trade A (you make the same as C but need less capital).
C is just an exaggerated form of B. So the same argument applies when comparing A and B.