Explainer
Sequence of returns risk is the risk that poor investment returns arrive early in retirement, while a retiree is taking withdrawals. Two retirees can earn the same average return over the same years and end with very different balances, because money withdrawn during an early loss is not there to take part in the recovery.
For a portfolio that nobody adds to or withdraws from, the order of returns does not matter at all. A 15% loss followed by an 18% gain ends in the same place as an 18% gain followed by a 15% loss. Growth multiplies, and multiplication gives the same answer in any order.
Withdrawals break that symmetry. A retiree who withdraws $50,000 after a loss is selling a larger share of a smaller portfolio. Those dollars are gone before the recovery arrives. The same withdrawal taken after a gain is a smaller share of a larger portfolio. The average return over the period can be identical. The ending balance is not.
Hypothetical illustration
Two hypothetical retirees each start with $1,000,000 and each withdraw $50,000 at the start of every year for 15 years. The withdrawal is held flat to keep the arithmetic simple. Both receive the same fifteen yearly returns, which average 6.8%. The first retiree receives them worst first. The second receives the exact same returns in reverse order, best first. These returns are invented to show the arithmetic. They are hypothetical, they do not represent any investment, and they are not a projection of future results.
| Worst years first | Best years first | |
|---|---|---|
| Average yearly return | 6.8% | 6.8% |
| Balance after year 5 | about $553,000 | about $1,616,000 |
| Balance after year 15 | about $677,000 | about $1,590,000 |
| Balance after year 15 with no withdrawals | about $2,523,000 | about $2,523,000 |
The fifteen hypothetical returns, worst first: −15%, −10%, −5%, 4%, 6%, 8%, 8%, 10%, 10%, 12%, 12%, 14%, 14%, 16%, 18%. Anyone can check the table with a spreadsheet: subtract the withdrawal, apply the year's return, repeat.
Both hypothetical retirees withdrew the same $750,000 in total and earned the same average return. The only difference is the order, and it is worth more than $900,000 by year 15. With no withdrawals, the order makes no difference at all, which is the last row of the table.
A projection that assumes 6.8% every year would show both hypothetical retirees ending in the same place. It cannot see sequence risk, because it contains no sequence. A Monte Carlo analysis is one way to look at it. It runs a plan through many different hypothetical orderings of returns and reports how the results are spread out, from the poor orderings to the favorable ones.
A Monte Carlo analysis cannot say which ordering will actually happen. Nobody can. Its results are hypothetical in nature, they do not reflect actual investment results, and they are not guarantees of future results.
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FAQ
This page is educational only. It is not investment advice and makes no recommendations. Examples are hypothetical. More explainers: What is the 4% rule? · What does diversification actually do? · What makes inflation go up or down? · All free tools
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