The Core Principle: More Opportunities for a Positive-Expectancy System
A trading system with a positive expectancy has an edge that, on average, produces a profit per trade. The total expected return over a period is roughly the expectancy per trade multiplied by the number of trades taken. Therefore, if the edge remains stable and the trades are independent, increasing the number of trades in a given time frame increases the total expected profit. This is the central idea behind the study note: “any system with a decent positive expectancy will improve if it makes more trades in a given period.” The logic is not that more trades magically create an edge, but that a pre-existing edge is applied more frequently. The law of large numbers also suggests that with more independent trades, the realized results tend to converge toward the expected value, reducing the impact of random streaks. However, this principle has boundaries. Transaction costs, slippage, and market impact can erode the edge as trade frequency rises. Also, the edge must remain positive after these costs. If a system trades too often, it may cross into negative expectancy. Therefore, the note’s statement assumes a “decent” positive expectancy that survives real-world frictions. Within those limits, two primary methods for increasing trade count are adding more markets and adding more independent systems. Each method expands the opportunity set without necessarily changing the core logic of the original system. The rest of this article examines how these methods work, what conditions they require, and where they can fail. The focus is on mechanisms and portfolio construction, not on specific trading recommendations.
Adding Independent Markets to Expand Opportunity
One way to increase the number of trades is to apply the same system to a broader set of markets. The study note observes that a good system can perform well in many different markets, so adding markets simply provides more opportunities. For example, a trend-following system that works on crude oil futures might also be applied to bond futures, currency pairs, or equity index futures. Each additional market brings its own price series and its own set of trends, ranges, and volatility patterns. If the system has a genuine edge, it can extract that edge from each market. The benefit is not only more trades but also diversification. When one market is quiet or moving against the system, another market may be trending. This can reduce the overall volatility of the portfolio’s returns. However, the key word is “independent.” Adding markets that are highly correlated—such as two closely related stock indices—does not provide much new information or opportunity. Their price movements often overlap, so the system may take similar positions in both, effectively doubling risk rather than diversifying it. True independence comes from different asset classes, different geographies, or different economic drivers. Practical considerations also matter. Each market has its own contract specifications, liquidity, trading hours, and transaction costs. A system that works on liquid futures may not translate directly to a less liquid market without adjustments. The note’s premise is that a robust system generalizes across markets, but robustness must be tested rather than assumed. Additionally, data quality and execution infrastructure must support the additional markets. In short, adding independent markets can expand opportunity and smooth returns, but only when the markets are genuinely distinct and the system’s edge survives the specific conditions of each market.
