When volatility returned to global stock markets in early 2018, headlines cast this statistical concept in its familiar role as investors’ most fearsome enemy.

But volatility may be getting a bad rap. It’s not a villain, and it’s not always synonymous with portfolio losses. A closer look at the concept can help us understand what it is, why we shouldn’t expect a premium for holding equities without it, and what we can do to manage our emotions when volatility is center stage.

## Volatility is not directional

A common misconception about volatility is that it implies direction and that therefore lower volatility is preferable to higher volatility. In reality, market volatility metrics are simply measures of dispersion around the average return, providing no insight into direction. A used automobile is an incredibly low-volatility asset in that it steadily declines in value over time; that doesn’t make it a good investment. In fact, outside of the mobility benefits it provides its owner, it is the very definition of a poor one.

An investment’s recent returns determine whether volatility marks a change for the better or the worse. In recent years, equity prices have marched steadily higher. In this situation, a few instances of negative returns will have a larger impact on volatility metrics than will positive returns of the same magnitude. By contrast, during a period of steady stock market declines, a few days of positive returns will produce a spike in volatility. The figure below demonstrates how two different portfolios with opposite performances can produce identical volatility measurements.

**Two portfolios, identical volatility**

###### Notes: Figure shows hypothetical return simulations for two portfolios. Volatility is calculated as the 10-day rolling standard deviation of daily returns.

As you might expect, the longest continuous period of above-average market volatility^{1} since the Great Depression occurred during the 2008 global financial crisis. What you might not expect is that if you bought the S&P 500 Index at the apex of its volatility (11/21/2008) and held it until volatility fell back below its historical average nearly a year later (9/28/2009), you would have earned a 33% return, even before accounting for dividends.

## Ignorance (toward volatility) is bliss

Investors must remember that short-term volatility is the price for long-term outperformance. Historical data show that over long periods, investors are compensated for holding riskier assets with higher returns than those of less risky assets. Daily account balances may start demonstrating larger fluctuations than in recent years, but long-term investors must resist the urge to make impulsive changes to their investment plans. As Nobel laureate Daniel Kahneman said, “If owning stocks is a long-term project for you, following their changes constantly is a very, very bad idea. It’s the worst possible thing you can do.”^{2} Mathematics explains why.

As mentioned above, stock market volatility explains how often and by how much stock returns differ from their average value. The mechanics of the calculation mean that while investment returns increase in proportion to time, volatility increases more slowly—in proportion to the square root of time.^{3} The upshot is that the less frequently you peek at your portfolio, the less likely you are to see a loss and potentially feel fear and regret. The table below demonstrates this phenomenon using daily S&P 500 Index returns. Notice how returns grow at a faster rate than standard deviation of returns, aka volatility, and that as time goes on, the likelihood of realizing a positive return increases.

Time horizon | Median return | Standard deviation of returns | Positive return probability |

| 0.06% | 1.10% | 54% |

| 0.35% | 2.27% | 58% |

| 1.29% | 4.19% | 64% |

| 13.69% | 16.50% | 83% |

| 119.01% | 137.45% | 91% |

###### Sources: Vanguard calculations, using data from Bloomberg. Dates: 1/4/1988–2/16/2018.

Once again, this highlights the importance of a long-term focus when investing, as any single day offers just better than a 50% chance of positive returns. Investors who ignore short-term volatility and follow a disciplined investment plan will realize that when it comes to long-term returns, time is on their side.

^{1 }Volatility in this example is defined as the rolling 30-day standard deviation of price returns for the Standard & Poor’s 500 Index, with the historical average taken from March 1928 through February 2018.

^{2 }Zweig, Jason. 2001. *Do You Sabotage Yourself?* Money (May 2001): 78

^{3 }The square-root-of-time rule is a useful, but not perfect, method for scaling volatility. Observed data differ from the model’s assumptions of normally distributed returns and zero mean value.

**Notes:**

All investing is subject to risk, including possible loss of principal.

Past performance is no guarantee of future returns.

## Any comments?