Audited 05 Aug 2026·Last updated 08 Aug 2026·3 citations·Tier 2·0 uses

Sequence Of Returns Risk Calculator

Sequence Of Returns Risk Calculator: isolate the effect of ordering the same annual returns around fixed beginning-of-year withdrawals.

Sequence Of Returns Risk Calculator

%
%
%
%
%
Ending balance under entered return sequence
815,117.38
Ending balance under entered return sequence under the page's named retirement convention.
Ending balance under reversed return sequence
927,767.28
Entered-sequence minus reverse-sequence ending balance
-112,649.90

Background.

Use Sequence Of Returns Risk Calculator when you need to isolate the effect of ordering the same annual returns around fixed beginning-of-year withdrawals. Sequence risk arises because withdrawals remove more shares after early losses, so identical average returns can produce different ending wealth. Here the arithmetic follows “apply the same five annual returns in entered and reverse order with equal beginning-of-year withdrawals to isolate sequence risk,” rather than silently mixing alternatives.

The editable entries are starting portfolio, beginning-of-year withdrawal, year 1 return, year 2 return, year 3 return, year 4 return, year 5 return. Use values from the document or measurement that governs this sequence of returns risk question; the defaults are only the worked fixture below. The most consequential input mistake would be to ignore that five entered returns illustrate path dependence but are not a retirement success probability.

Vanguard, Principles for Retirement Income; withdrawal rates, market paths and portfolio-depletion risk documents the convention or governing rule used here. The sequence of returns risk output is a transparent scenario under those facts: it does not manufacture an unentered market price, professional determination, carrier quote, legal eligibility finding or locally adopted code value.

What is sequence of returns risk calculator?

Sequence Of Returns Risk is the relationship behind this decision: sequence risk arises because withdrawals remove more shares after early losses, so identical average returns can produce different ending wealth. On this page it means apply the same five annual returns in entered and reverse order with equal beginning-of-year withdrawals to isolate sequence risk. Five entered returns illustrate path dependence but are not a retirement success probability; that is the line between the reported quantity and a broader retirement analysis.

How to use this calculator.

  1. Confirm that “apply the same five annual returns in entered and reverse order with equal beginning-of-year withdrawals to isolate sequence risk” matches the sequence of returns risk convention you need.
  2. Replace the fixture values for starting portfolio, beginning-of-year withdrawal, year 1 return, year 2 return, year 3 return, year 4 return, year 5 return with dated values from the governing record.
  3. Keep all currencies, measurement units and time periods on the same basis before calculating.
  4. Read ending balance under entered return sequence together with this boundary: Five entered returns illustrate path dependence but are not a retirement success probability.

The formula.

apply the same five annual returns in entered and reverse order with equal beginning-of-year withdrawals to isolate sequence risk

The calculation uses apply the same five annual returns in entered and reverse order with equal beginning-of-year withdrawals to isolate sequence risk. In this sequence of returns risk model, the entered terms are starting portfolio, beginning-of-year withdrawal, year 1 return, year 2 return, year 3 return, year 4 return, year 5 return. Sequence risk arises because withdrawals remove more shares after early losses, so identical average returns can produce different ending wealth, which is why the relationship is presented under this name rather than as a universal alternative. Five entered returns illustrate path dependence but are not a retirement success probability. Calculations keep full decimal precision through the relationship and round only the returned display values.

A worked example.

Example

Start with Starting portfolio = 1,000,000; Beginning-of-year withdrawal = 50,000; Year 1 return = -20; Year 2 return = -5; Year 3 return = 8; Year 4 return = 15; Year 5 return = 22. Following “apply the same five annual returns in entered and reverse order with equal beginning-of-year withdrawals to isolate sequence risk” gives Ending balance under entered return sequence = 815,117.38; Ending balance under reversed return sequence = 927,767.28; Entered-sequence minus reverse-sequence ending balance = -112,649.9. The ending balance under entered return sequence of 815,117.38 is therefore traceable to the visible entries rather than a hidden default. A hand check should perform the named operations in their printed order and keep intermediate values unrounded. Five entered returns illustrate path dependence but are not a retirement success probability.

annual Rate Percent6
annual Addition10,000
current Amount50,000
years10
annual Withdrawal50,000
starting Portfolio1,000,000
year3 Return Percent8
year1 Return Percent-20
year5 Return Percent22
year4 Return Percent15
year2 Return Percent-5

Frequently asked questions.

What exactly does the ending balance under entered return sequence represent?
For Sequence Of Returns Risk, it represents the result of apply the same five annual returns in entered and reverse order with equal beginning-of-year withdrawals to isolate sequence risk under the entered facts. Sequence risk arises because withdrawals remove more shares after early losses, so identical average returns can produce different ending wealth; the 815,117.38 fixture should be read on that basis.
Which sequence of returns risk convention does this page choose?
It chooses “apply the same five annual returns in entered and reverse order with equal beginning-of-year withdrawals to isolate sequence risk.” That sequence of returns risk variant is supported by Vanguard, Principles for Retirement Income; withdrawal rates, market paths and portfolio-depletion risk; a governing contract, policy, tax year or locally adopted rule that specifies another treatment must take priority.
What is the easiest way to get this sequence of returns risk result wrong?
Five entered returns illustrate path dependence but are not a retirement success probability. Check that sequence of returns risk issue before interpreting the output or comparing it with another model.
Can the worked sequence of returns risk example be checked without this site?
Yes. Use Starting portfolio = 1,000,000; Beginning-of-year withdrawal = 50,000; Year 1 return = -20; Year 2 return = -5; Year 3 return = 8; Year 4 return = 15; Year 5 return = 22, follow apply the same five annual returns in entered and reverse order with equal beginning-of-year withdrawals to isolate sequence risk, and compare your final figures with Ending balance under entered return sequence = 815,117.38; Ending balance under reversed return sequence = 927,767.28; Entered-sequence minus reverse-sequence ending balance = -112,649.9. Keep the sequence of returns risk intermediates unrounded so formatting does not create a false difference.

How this page was produced

Published by
Quanta Calculator
Primary sources
3 cited below
Method
apply the same five annual returns in entered and reverse order with equal beginning-of-year withdrawals to isolate sequence risk
Published
Last verified

Built with AI assistance and verified by automated tests against the cited sources — every worked example on this page is computed by the same code that runs the calculator. How we build and check calculators.

Embed

Quanta Pro

Paid features are coming later.

  • All 1560 calculators remain free
  • No billing is enabled
Coming soon