The V-Shaped Recovery vs. the L-Shaped Malaise: A Statistical Analysis of Post-Drawdown Trajectories

The Shape of Things to Come: The Post-Drawdown World

After a major drawdown, the most pressing question for any trader is: what comes next? Will the market snap back in a sharp, V-shaped recovery, or will it enter a prolonged period of stagnation, an L-shaped malaise? The answer to this question has profound implications for portfolio positioning and risk management.

This article will provide a quantitative analysis of the different recovery trajectories that can follow a major drawdown. We will examine the statistical evidence for V-shaped recoveries and L-shaped periods of stagnation and provide a framework for identifying which path is more likely.

The Evidence from Morgan Stanley: A Tale of Two Recoveries

The Morgan Stanley report, "Drawdowns and Recoveries," provides a wealth of data on the post-drawdown trajectories of U.S. stocks. The report's key finding is that the shape of the recovery is highly dependent on the magnitude of the preceding drawdown.

The V-Shaped Recovery: The report finds that the stocks that experience the largest drawdowns also tend to have the most V-shaped recoveries. The quintile of stocks with the largest maximum drawdowns follows a pronounced "V" pattern, with a sharp decline to the bottom followed by a strong price recovery. However, this recovery is often incomplete. Five years after hitting rock bottom, the price of the portfolio is only 80% of what it was two years before the nadir.

The L-Shaped Malaise: In contrast, the stocks that experience smaller drawdowns tend to have a more U-shaped recovery. The quintile with the smallest maximum drawdowns declines by a much smaller amount and then gradually recovers to its previous peak and beyond. Five years after the bottom, the index value of this portfolio is nearly double what it was two years prior to the bottom.

The Role of Risk Adjustment

The picture changes significantly when we adjust for risk. The Morgan Stanley report also looks at the abnormal returns of the different quintiles, which is the actual return minus the expected return. When we look at the abnormal returns, the V-shaped recovery of the largest drawdown quintile is much more muted. In fact, five years after the maximum drawdown, this group’s index value is only 40% of the value two years before the maximum drawdown.

This suggests that a significant portion of the V-shaped recovery in the raw price data is simply a compensation for the higher risk of these stocks. These are the high-beta, high-volatility stocks that are expected to have a higher return in a rising market.

A Framework for Identifying the Likely Recovery Path

Given the statistical evidence, how can we identify which recovery path is more likely after a major drawdown?

1. The Nature of the Shock: The first thing to consider is the nature of the shock that caused the drawdown. Was it a short-term, sentiment-driven panic, or was it a more fundamental, structural shock?

• Sentiment-Driven Panics: Sentiment-driven panics, like the COVID crash of 2020, are more likely to be followed by V-shaped recoveries. Once the panic subsides, the market can quickly rebound to its previous levels.
• Structural Shocks: Structural shocks, like the global financial crisis of 2008, are more likely to be followed by L-shaped periods of stagnation. These shocks damage the underlying structure of the economy and can take years to recover from.

2. The Policy Response: The second thing to consider is the policy response. A swift and aggressive policy response from central banks and governments can help to short-circuit a potential L-shaped malaise and to engineer a V-shaped recovery.

3. The Valuation of the Market: The third thing to consider is the valuation of the market at the bottom of the drawdown. If the market is cheap on a historical basis, it is more likely to have a strong recovery. If the market is still expensive, even after a major drawdown, it is more likely to have a more muted recovery.

Conclusion: A Probabilistic Approach to the Future

It is impossible to predict the future with certainty. However, by understanding the statistical evidence and by using a framework for analyzing the nature of the shock, the policy response, and the valuation of the market, we can develop a probabilistic view of the likely recovery path. This is the best that any trader can hope for, and it is a significant advantage over those who are simply guessing.