Explainer
Diversification reduces the size of a portfolio's swings. It does not guarantee a profit or protect against loss, and it does not predict direction. When investments do not move in lockstep, a mix of them swings less than the weighted average of its pieces, and smaller swings leave more of an average return intact as compounded growth.
Volatility measures how far an investment's yearly results tend to land from its own average, in either direction. An investment can be volatile and rise. It can be calm and fall. Diversification works on the size of the swings. It says nothing about which way the next one goes.
Hypothetical illustration
Take two hypothetical investments. Investment A has yearly swings of 16% (its standard deviation). Investment B has yearly swings of 6%. A mix holds 60% in A and 40% in B. These figures are invented to show the arithmetic. They do not represent any actual investment.
| How A and B move together | Swings of the 60/40 mix |
|---|---|
| In perfect lockstep (correlation 1.0) | 12.0% |
| Mostly independently (correlation 0.1) | about 10.1% |
| Slightly opposite (correlation −0.2) | about 9.4% |
The first row is the plain weighted average: 60% of 16 plus 40% of 6. The other rows use the standard two-investment formula, in which the mix's variance is (0.6 × 16)² + (0.4 × 6)² + 2 × 0.6 × 0.4 × correlation × 16 × 6, and the swing is the square root of that.
Nothing about either investment changed between the rows. The only thing that changed is how closely they move together. That gap, between the weighted average and the actual figure, is the whole effect of diversification.
Hypothetical illustration
A hypothetical investment gains 25% one year and loses 20% the next. Its average yearly return is +2.5%. It ends exactly where it started, because 1.25 × 0.80 = 1.00. A second hypothetical investment gains 10% and then loses 5%. Its average yearly return is also +2.5%. It ends 4.5% higher, because 1.10 × 0.95 = 1.045.
The two have the same average return and different swings. The one with larger swings compounds to less. This gap between the average return and the compounded growth rate is sometimes called volatility drag. It is arithmetic, and it applies to any series of returns.
The size of the swings also matters a great deal to anyone taking withdrawals, which is the subject of sequence of returns risk.
Volatility, Explained is a free tool with no account needed. It shows how mixing different investments changes the size of the swings. A person builds a mix of stocks, bonds, commodities, alternatives, and cash, and sees why a diversified portfolio usually swings less than its pieces suggest, what a typical year looks like around an assumed average, and what the swings cost in compounded growth. Assumptions, not forecasts. The mix stays in the visitor's own browser.
FAQ
This page is educational only. It is not investment advice and makes no recommendations. Examples are hypothetical. More explainers: What is sequence of returns risk? · What is the 4% rule? · What makes inflation go up or down? · All free tools
Build a mix and watch the swings change. No account, no email, and the mix stays in your browser. Assumptions, not forecasts.