The Expectancy of Trading Strangles: A Key to Profitable Trading
By:Kai Zeng
It's important for novice traders to evaluate their strategies by using various metrics like average profit/loss (P/L), probability of profit, risk and volatility. These measures provide a snapshot of how strategies are performing.
However, there's another valuable metric to consider: expectancy. This statistical tool helps estimate the average amount you can expect to win or lose per trade, offering insight into how well strategies align with financial goals and risk tolerance.
The formula for expectancy is simple:
(Win Rate x Avg. Win) - (Loss Rate x Avg. Loss)
A positive expectancy ratio indicates a strategy is likely to be profitable over time, whereas a negative ratio suggests potential losses. The larger the positive ratio, the more profitable the strategy is expected to be. A strategy with a high positive expectancy is attractive because it suggests consistent profitability, while a negative expectancy might prompt you to reconsider your approach.
To illustrate expectancy in action, consider a study of the SPY 45-day 16 Delta strangles conducted over 20 years. This analysis categorized implied volatility rank (IVR) into three levels: below 20, between 20 and 30, and above 30.
As anticipated, trading in low IVR (below 20) markets showed higher success rates, but these trades resulted in the lowest average profits and the highest average losses. In contrast, trading when IVR exceeds 30 yielded opposite results, with higher average profits and lower average losses.
So, which scenario has the highest expectancy? Does each scenario offer the positive expectancy that traders prefer?
The next analysis revealed that trading in high IVR markets (above 30) provided a more favorable risk/reward ratio of approximately 3:1, with a 70% success rate. This indicates high IVR environments are advantageous for premium sellers, affirming that increased volatility can significantly enhance trading performance. Conversely, because of the higher average losses observed when trading in low IVR markets, the expectancy was below zero, highlighting the importance of strategic timing in volatile conditions.
Kai Zeng, director of the research team and head of Chinese content at tastylive, has 20 years of experience in markets and derivatives trading. He cohosts several live shows, including From Theory to Practice and Building Blocks. @kai_zeng1
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