The Cost of Convexity

The ZenWave Book is the portfolio layer that compounds ZenWave A and B together under a fixed risk budget. It inherits convexity from its engines — and the drawdown-duration question applies at the portfolio level, not just to any single engine.

As with each engine, convexity is not free. The price you pay is time: extended stretches where the combined book drifts sideways or grinds lower before a sharp recovery restores new highs. Because the two engines are not perfectly correlated, the book's underwater episodes are typically shorter than the worst single-engine episodes — but they still happen.

The slider above lets you explore that tradeoff directly. As you move it to the right, you reveal progressively longer drawdown episodes — periods where the book was underwater for at least that many days. The highlighted regions on the chart show exactly when those episodes occurred and how long they lasted.

It is easy to underestimate how difficult it is to sit through a long drawdown even when the system is behaving exactly as designed. The urge to intervene — to reduce size, switch strategies, or stop trading entirely — is strongest precisely when discipline matters most.

The largest gains tend to cluster in brief windows that follow the deepest troughs. Miss those windows — because you stepped aside during the drawdown — and you convert a positively skewed return stream into a negatively skewed one.

This section exists so you can confront that cost honestly before committing capital. If the highlighted episodes feel intolerable, the system is not a fit — and that is a perfectly valid conclusion. The goal is not to convince you to invest. The goal is to make the cost legible so the decision is yours. Understanding that cost is part of the framework.