Skip to main content

Sequence of returns risk calculator

The same withdrawals and the same average return, in two orders: a crash first, and that crash last. The gap between the endings is the risk.

Short answer: The order of returns, not the average, decides how long savings last once you withdraw: $1,000,000 paying $40,000 a year ends 20 years later with $415,472 if a 30% crash comes first and $843,018 if it comes last.

The calculator

Presets: named crash years from this site's S&P 500 price-return tape. Each fills the crash field, and you can still type any other return.

Crash first$415,472Crash in year 1, then the other-year return
Crash last$843,018Same crash in the final year
Gap$427,546Crash-last ends ahead

Identical 5.0% years and one -30.0% year, in opposite orders, differ by $427,546 at the end.

Why the order matters

Two people can earn the same average return and finish in different places, because a withdrawal takes a larger share of a smaller portfolio. Selling after a fall locks the loss in; the same fall at the end hits a pile that has already compounded. On this calculator's defaults, $1,000,000 paying $40,000 a year for 20 years ends with $415,472 when a 30% crash comes first and $843,018 when it comes last. The glossary entry on sequence of returns risk is the definition; the sequence of returns risk guide is the pillar, including what a crash in the year you retire does to a whole plan.

Why sequence risk matters when withdrawing, not while saving

During the accumulation phase, with no money going in or out, the order of returns makes no difference at all. $1,000,000 left alone through nineteen 5% years and one 30% crash ends at $1,768,865 whether the crash comes first or last, because multiplying the same returns in a different order gives the same product. While you are still contributing, an early crash even helps: new savings buy shares cheaply.

Withdrawals break that symmetry. Each year you sell a fixed dollar amount, so after a fall you sell more shares to raise the same cash, and those shares are not there for the recovery. That is why sequence of returns risk is a retirement problem, and why it peaks when the portfolio is largest: the years just before and just after you stop working.

Sequence of returns risk example

The same $1,000,000 portfolio, $40,000 withdrawn each year for 20 years, and 5% in every year but one. The one bad year is a real S&P 500 calendar year, placed first or last:

Ending balance after 20 years, crash in year one versus year twenty
Crash yearReturn that yearCrash firstCrash lastGap
1931-47.1%$1,461$637,485$636,024
1974-29.7%$422,311$846,413$424,102
2002-23.4%$576,407$922,914$346,507
2008-38.5%$209,620$740,824$531,204

Every row has the same average return and the same withdrawals. Only the order changes, and the order alone moves the ending balance by hundreds of thousands of dollars.

Sequence of returns in real retirements since 1928

The table above isolates order with one crash. Real markets deliver a whole sequence, so we replayed every 30-year retirement since 1928: $1,000,000 in a 60/40 stock and bond portfolio, 4% withdrawn in year one and raised with actual inflation every year. Balances are in start-year dollars.

Real balance of a $1,000,000 retirement at a 4% inflation-adjusted withdrawal, by start year
Retired inAfter 5 yearsAfter 10 yearsAfter 30 years
1929$735,000$821,000$392,248
1966$750,000$475,000Ran out in year 26
1973$565,000$388,000$95,620
1949$1,319,000$2,164,000$2,021,851
1975$932,000$974,000$2,530,072
1982$1,733,000$2,084,000$3,477,593

The worst sequence was not the biggest crash. Retiring in 1929 meant the Great Crash, yet prices fell too, so inflation-linked withdrawals shrank and the money lasted. Retiring in 1966 meant no crash in the first years, just flat stock prices and rising inflation, then the 1973 to 1974 bear market on top. That combination ate the portfolio, and it ran out in year 26. The 1982 retiree took exactly the same withdrawals, started into a long bull market, and finished with more than three times the starting value after inflation. Overall the plan lasted 30 years in 94.1% of start years, with every failure starting between 1965 and 1969. The historical backtest runs your own plan through every one of these years.

Pick a retirement year

Presets for historical sequences: choose a start year, or type any year from 1928 to 1995, to see the same $1,000,000 plan through the returns and inflation that actually followed.

After 5 years$750,000In start-year dollars
After 10 years$475,000
After 20 years$177,000
After 30 yearsRan outExhausted in year 26

Retiring in 1966 with $1,000,000 in a 60/40 portfolio and a 4% inflation-adjusted withdrawal, the money ran out in year 26.

The first five years: the retirement red zone

Planners call the five years either side of the retirement date the retirement red zone, because the portfolio is near its peak and withdrawals are starting, so a loss there does the most lasting damage. The replay above shows why. 6 start years were worth less than half their starting value, in real terms, ten years in, and every retirement that ran out of money was one of them. A bad first decade does not guarantee failure (1973 dropped that far and still lasted 30 years), but every start year still worth more than half after ten years lasted the full 30.

The practical point is timing. The defences below cost something, either lower expected returns or lower spending, and they are worth paying for mainly in those first five to ten years. After a decade of withdrawals that went well, most of the risk has passed.

How to reduce sequence of returns risk

  • Spend flexibly after bad years. Rules such as Guyton-Klinger guardrails and Vanguard dynamic spending cut a little when the portfolio falls, so fewer shares are sold at the bottom. The retirement guardrails calculator helps choose a rule.
  • Hold a cash buffer. A few years of spending in cash and bonds means stocks do not have to be sold after a crash; the bucket strategy calculator sizes it.
  • Build a bond tent. Raise the bond share in the years around retirement, then let stocks drift back up over the first decade. Wade Pfau and Michael Kitces called this a rising equity glide path (2014): it holds the most bonds exactly when a crash would do the most damage, and less once the red zone has passed.
  • Start lower. A first-year withdrawal below 4% leaves more room for a bad start; the safe withdrawal rate calculator shows the trade-off, and the retirement withdrawal calculator shows how many years each withdrawal lasts.
  • Keep some income early. Part-time work in the first years shrinks the withdrawals that a crash can lock in; the Barista FIRE calculator shows how much.

Assumptions

One crash year and a flat return everywhere else: enough to isolate order, not a forecast. No fees, no taxes, withdrawals at the start of each year. A full plan needs a distribution of paths, not two: the Monte Carlo retirement calculator. Spending rules that cut after a bad year are the Guyton-Klinger calculator and the Vanguard dynamic spending calculator. The first-year cheque is the safe withdrawal rate calculator.

Frequently asked questions

What is sequence of returns risk?
The risk that the order of returns damages a plan even when the average is unchanged. It is most dangerous when money is being withdrawn, because selling after a fall locks the loss in.
Why does reversing the returns change the ending balance?
Withdrawals take a larger share of a smaller portfolio. A crash early forces those sales at the bottom; the same crash at the end hits a portfolio that has already compounded.
How many years does sequence of returns risk last?
It is concentrated in the first five to ten years of withdrawals, when the portfolio is largest and every sale after a fall locks the loss in. The same crash a decade or more into retirement does far less damage.
How can you reduce sequence of returns risk?
Spend flexibly after bad years with guardrails or dynamic spending, keep a few years of spending in cash and bonds so stocks are not sold after a fall, start with a lower withdrawal rate, or keep some part-time income early in retirement.
What is an example of sequence of returns risk?
Two retirees with the same $1,000,000, the same $40,000 withdrawals and the same average return finish far apart if one meets a crash in year one and the other in year twenty. The table on this page shows the gap for 1931, 1974, 2002 and 2008.
Does sequence of returns risk matter while you are still saving?
Much less. With no money going in or out, the order of returns does not change the ending balance at all, and while you are contributing an early crash lets new savings buy cheaply. The risk appears once withdrawals start, because selling a fixed amount after a fall uses up more shares.
What is the retirement red zone?
The five years or so either side of the retirement date, when the portfolio is near its largest and withdrawals are starting. A large loss in that window does the most lasting damage, so that is when a cash buffer, a higher bond share or flexible spending pays off most.
What is a bond tent?
An allocation that raises the bond share in the years around retirement and then lets stocks drift back up over the first decade. Wade Pfau and Michael Kitces described this rising equity glide path in 2014 as a way to hold the most bonds when sequence of returns risk is highest.