Sequence of Returns Risk Calculator

Frequently Asked Questions

What is sequence-of-returns risk?

It is the risk that the order of investment returns - not just the average - meaningfully changes outcomes when you are taking withdrawals. A bad return early in retirement combined with withdrawals shrinks the base that has to recover, while the same returns in a different order can leave you far better off. Educational only.

Can the same average return give different outcomes?

Yes, dramatically. A retiree withdrawing 4% from $1M who sees -20%, -10%, +5%, then +30%, +20%, +15% may run out far sooner than one who sees those same returns in the opposite order, even though the arithmetic average is identical.

How can retirees mitigate the risk?

Common approaches include holding 1–3 years of expenses in cash/bonds (a "bond tent" or bucket strategy), using a flexible withdrawal rule (e.g. Guyton-Klinger guardrails), delaying Social Security, and trimming spending after down years. None of this is personalized advice.

Does sequence risk matter for accumulators?

Much less. While accumulating, regular contributions actually benefit from early downturns by buying shares cheaply. Sequence risk is most acute roughly 5 years before through 10 years after retirement, when balance is largest and withdrawals begin.

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Estimates for informational purposes only.

Important Disclaimer: Estimates for informational purposes only.

This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.

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How This Calculator Works

Sequence-of-returns risk is the danger that the order in which investment returns arrive - not just their average - can make or break a retirement portfolio that is being drawn down. While you are still saving, order barely matters; once you start taking withdrawals, a string of early losses forces you to sell more shares at depressed prices, permanently shrinking the base that later good years can recover. This tool demonstrates the effect with a controlled experiment. It takes your starting balance, a fixed annual withdrawal, a horizon in years, and a set of annual returns. It then runs the identical returns in two orders - best years first, then worst years first - and reports the ending balance and depletion year for each. Because the average return and the withdrawals are exactly the same in both runs, any difference in outcome is caused purely by sequence. The gap is often startling and is the core reason early-retirement bad markets are so dangerous.

Formula / Method

Each year the model withdraws the fixed amount at the start of the year, checks whether the balance has hit zero (recording the depletion year if so), then applies that year's return: balance = (balance − withdrawal) × (1 + r). The supplied return list is cycled if the horizon exceeds its length. Two passes run over the same set: one sorted descending (good-first) and one sorted ascending (bad-first). The arithmetic average of the returns is reported to prove both runs share the same mean. The contrast isolates sequence risk because everything else - mean return, withdrawal size, horizon - is held constant. Inputs are validated so a non-positive balance, fewer than two returns, or a zero horizon is rejected, and the balance is floored at zero rather than allowed to go negative, so no run returns NaN.

Worked Example

Start with $1,000,000, withdraw $50,000 a year for 30 years, with returns 20, 15, 10, 5, 0, −5, −15, 12, 8, 6 (average 5.6%). In the good-first order the early 20% and 15% years grow the balance before the bad years hit a much smaller withdrawal-to-balance ratio, and the portfolio comfortably survives the full horizon with a healthy ending balance. In the bad-first order the −15% and −5% years strike while the balance is largest and the withdrawal bites hardest, so the portfolio can deplete years earlier despite an identical 5.6% average. The dollar gap between the two endings is the price of bad luck on timing alone.

Common Mistakes

Believing a healthy average return guarantees the plan works - the same average can succeed or fail purely on order.

Using a fixed-percentage rather than fixed-dollar withdrawal and concluding sequence risk is small; flexible spending genuinely reduces it, but most plans assume rigid income needs.

Ignoring inflation: a level nominal withdrawal understates the real strain late in a long retirement.

Testing only one return set; real risk requires many sampled paths, not a single good-vs-bad reordering.

Forgetting that withdrawing before applying the return (start-of-year) versus after (end-of-year) shifts results modestly - be consistent.

Tips & FAQ

How do retirees defend against this? Common tactics include a cash or bond buffer to avoid selling stocks in down years, a flexible withdrawal rule that trims spending after losses, and a rising-equity glidepath that holds more bonds early in retirement. Is the first decade really that important? Yes - research consistently shows returns in the first five to ten years of withdrawals dominate the success or failure of a 30-year plan. Does this replace a Monte Carlo simulation? No; this is a teaching contrast of two extreme orderings, while a full plan should sample hundreds of randomized or historical paths. What withdrawal rate is safer? Lower rates and spending flexibility both blunt sequence risk far more than chasing higher average returns. This tool is educational and not financial advice; model your own plan with a qualified professional.

Sequence of Returns Risk Calculator

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