Diversification Basics
Diversification removes company-specific risk and leaves shared risk untouched. The arithmetic shows exactly where the benefit runs out.
Diversification means spreading capital across holdings that do not depend on the same outcomes, which removes company-specific risk such as a scandal or a failed product. It does not remove market risk, which affects everything at once. With stocks at 35% volatility and 0.30 average correlation, portfolio volatility falls from 35% at one holding to 20.9% at ten, then only to 19.5% at fifty. The floor is the shared risk.
What to remember
- Most of the available reduction arrives within the first ten holdings. Twenty to fifty buys about half a percentage point.
- The floor is set by correlation, not count. At 0.70 correlation, fifty stocks reduce risk less than eight uncorrelated ones would.
- Correlations rise toward 1 in a panic, because forced selling is indiscriminate. Historical correlation describes ordinary days.
- The real cost of over-diversifying is that you stop monitoring what you own, while still paying selection costs an index fund does not charge.
Step 9 of 10 on Stocks & Indices Basics
Diversification removes one kind of risk and leaves the other
Diversification means holding investments whose fortunes do not depend on the same things. It works on the risk specific to a single company: a failed drug trial, an accounting scandal, a factory fire, a chief executive resigning. Spread across enough holdings, any one of those becomes survivable.
It does nothing to the risk shared by everything you hold. A rate shock, a recession, a liquidity crisis or a broad repricing hits every position at once, and no number of stocks removes it. Knowing which of the two risks you have actually addressed is the whole skill.
Why the twentieth stock adds less than the fifth
The reduction is real and it runs out fast. Take individual stocks with 35% annualised volatility each and an average correlation of 0.30 between any pair, which is a reasonable approximation for a mixed portfolio. Equal-weighted portfolio volatility falls as follows.
| Holdings | Portfolio volatility | Reduction from previous row |
|---|---|---|
| 1 | 35.0% | – |
| 5 | 22.4% | 12.6 points |
| 10 | 20.9% | 1.5 points |
| 20 | 20.0% | 0.9 points |
| 50 | 19.5% | 0.5 points |
| Infinite | 19.2% | floor |
Almost all of the available benefit arrives in the first ten holdings. Going from twenty to fifty buys half a percentage point, at the cost of tracking fifty businesses instead of twenty. And the floor at 19.2% is not a limitation of effort. It is the shared risk, and no amount of adding positions goes below it.
The formula behind the table is worth knowing because it explains the shape. Portfolio variance has two parts: the average individual variance divided by the number of holdings, which shrinks as you add positions, and the average covariance between pairs, which does not shrink at all. Adding holdings dilutes the first term toward zero and leaves the second exactly where it was. That second term is the floor, and it is set entirely by how much your holdings have in common.
Correlation is the variable, not the count
Change one input in that table and the whole thing moves. At an average correlation of 0.30 the floor is 19.2%. At 0.70, which is typical of holdings within one sector, the floor rises to about 29.3%, meaning fifty highly correlated stocks deliver less risk reduction than eight uncorrelated ones.
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Diversification Basics: questions
How many stocks do you need to be properly diversified?
Does diversification protect against a market crash?
Can you be too diversified?
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