Expected drawdowns – How much money should I lose?
4 minute read
- Random price moves make it hard to distinguish between signal and noise for investors, especially when markets are volatile.
- We can ballpark using historical and simulated data what swings to expect due to “randomness”, based on the type of asset.
Cash is the only asset that rises in value smoothly. Everything else has bumps along the way. Random price moves make it hard to distinguish between signal and noise, especially when markets are volatile. For example, we expect stocks to rise over the long run but with unpredictable losses over shorter horizons. But these swings can also provide buying opportunities when prices change rapidly, while underlying fundamentals do not. All else equal, a lower purchase price corresponds to higher future expected returns and vice versa.
The simplest way to estimate intermediate losses is by looking at past returns. However, the history that occurred is just one outcome. The implicit assumption is that future returns will look like the past. We can also generate and analyse a large number of simulated outcomes using the properties of the asset. The implicit assumption is the asset characteristics are stable and can be modelled accurately.
Both these assumptions are wrong – finance is not physics. But they provide a rough approximation of what an investor can reasonably expect. Exhibit 1 shows observed and simulated probabilities of various-sized S&P 500® Index drawdowns (greatest high to low percentage loss) over rolling one-year periods.
The observed and simulated curves are broadly similar. Comparing observed drawdowns to simulated ones, small S&P 500 drawdowns have occurred less frequently, but large S&P 500 drawdowns have occurred more frequently.
In most (90%) of years, we should expect the S&P 500 to have at least one drawdown of 7-10% or more. In 50% of years, the S&P 500 is likely to have a drawdown of 11-15% or more. And in about 10% of years, the S&P 500 is anticipated to lose more than 25%.
Exhibit 1: Annual probability of an S&P 500 drawdown exceeding threshold
We can generalize this result. For an asset with volatility (σ) and log-normally distributed returns, we would expect a drawdown of magnitude (σ/2) to occur about once a year and a drawdown of magnitude (σ) to occur about once every two years. To be clear, there is no assurance that the actual price path of the asset will follow this expectation. But this model fits reasonably well with observed moves.
For example, the MSCI Emerging Market (EM) Index has had an average annualized volatility of about 20%. Since 2000, the index has had a 10% (σ/2) or greater drawdown in 19 out of 20 years. A 20% (σ) or greater drawdown has occurred in about 50% of years. Exhibit 2 shows the maximum drawdowns by year for the MSCI EM Index.
Exhibit 2: Maximum annual drawdowns for MSCI Emerging Markets
Already in 2020, the MSCI EM Index has dropped 8% following the COVID-19 outbreak. Although the cause of the recent fall was unforecastable, the size of the drawdown is in line with expected EM drops that occur periodically. If you are positively biased towards owning more EM equities, buying a ~10% decline captures a reasonably sized dip that has happened in most years.
However, if you are instead waiting for EM stocks to fall 30% before investing, that can and has happened, but is probabilistically unlikely. A drop that large (-30% or more) has only occurred in about 25% of years. To wait for that before buying, you need to have very strong conviction that the current year will be remarkably bad for EM equities.
We don’t know how asset prices will move. But we can ballpark using historical and simulated data about what swings to expect due to “randomness”. More volatile assets have larger moves. For example, Amazon.com has had a greater than 50% drawdown on four different occasions in its history, yet its share price is near all-time highs. Conversely, if a corporate bond drops 50%, it is highly likely to default. Looking at drawdown probabilities provides a simple way to calibrate our expectations based on the type of asset.
Note on simulated returns: The hypothetical, back-tested performance shown is for illustrative purposes only and does not represent actual performance of any client account. No accounts were managed using the portfolio composition for the periods shown and no representation is made that the hypothetical returns would be similar to actual performance had accounts actually been managed in this manner.
The hypothetical performance results herein may not be realized in the actual management of accounts. No representation or warranty is made as to the reasonableness of the assumptions made or that all assumptions used in construction the hypothetical returns have been stated or fully considered. Assumption changes may have a material impact on the returns presented. This material is not representative of any particular client’s experience.
Investors should not assume that they will have an investment experience similar to the hypothetical, back-tested or simulated performance shown. There are frequently material differences between hypothetical, back-tested or simulated performance results and actual results subsequently achieved by any investment strategy. Prospective investors are encouraged to contact the investment manager to discuss the methodologies and assumptions used to calculate the hypothetical performance shown herein.