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Investing and portfolio managementModule 4, lesson 15 of 24

Sequence of returns

Why the order of good and bad years matters when money is added or withdrawn, with worked examples for savers and retirees.

Time
5 min read
Level
Intermediate
Updated

In this lesson

  • Show that the order of returns does not matter for a single lump sum held untouched.
  • Show how withdrawals make early losses especially damaging.
  • Show how regular contributions make early losses less damaging and late losses more so.
  • Describe ways to reduce sequence risk near a goal or in retirement.

Builds on

On this page
  1. In simple terms
  2. A lump sum: order does not matter
  3. Withdrawals: early losses hurt most
  4. Contributions: the opposite effect
  5. The danger zone
  6. Reducing sequence risk
  7. Why it matters
  8. Limitations
  9. Common mistakes
  10. Try it yourself

In simple terms

If you invest a lump sum and leave it alone, the order of good and bad years does not matter: 1.2 × 0.8 is the same as 0.8 × 1.2. But most people are not doing that. They are either adding money (saving for a goal) or taking money out (in retirement or as a goal arrives). Then the order of returns, the sequence, matters a great deal.

A lump sum: order does not matter

Worked example: Two orders, no cash flows

Sequence A: +20%, +15%, +10%, −10%, −25%. Sequence B: the same returns in reverse: −25%, −10%, +10%, +15%, +20%.

₹10 lakh after Sequence Aabout ₹10.25 lakh
₹10 lakh after Sequence Babout ₹10.25 lakh

Multiplication does not care about order, so both end in the same place.

Withdrawals: early losses hurt most

Now suppose ₹1 lakh is withdrawn at the end of each year, as a retiree might.

Worked example: Same returns, with withdrawals

Start ₹10 lakh, Sequence A (gains first), ₹1 lakh withdrawn yearlyends about ₹6.2 lakh
Start ₹10 lakh, Sequence B (losses first), ₹1 lakh withdrawn yearlyends about ₹3.8 lakh

The same five returns leave one retiree with ₹6.2 lakh and the other with ₹3.8 lakh. In Sequence B, withdrawals in the bad years sell investments at low prices, so less money is left to benefit from the later recovery.

This is sequence-of-returns risk. It is why a market crash in the first years of retirement can do lasting damage even if markets recover later.

Contributions: the opposite effect

For someone adding money regularly, such as through a SIP, the effect reverses.

Worked example: Same returns, with regular investing

Suppose ₹1 lakh is invested at the start of each year.

Sequence A (gains first)ends about ₹4.0 lakh
Sequence B (losses first)ends about ₹6.5 lakh

In Sequence B, early contributions buy at low prices and then enjoy the later gains. In Sequence A, the largest amount is invested just before the losses. For savers, bad years early on are less harmful than bad years near the goal, when the portfolio is largest.

The danger zone

Putting the two together, sequence risk is greatest around the point when a portfolio is largest and cash flows change direction:

  • in the last years before a goal or retirement, when a fall hits the largest balance and there is little time to recover;
  • in the first years of withdrawals, when losses are locked in by selling.

Reducing sequence risk

Common approaches include:

  1. Reducing equity as a goal approaches, as the asset allocation lesson describes, so a late crash hits a smaller share of the money.
  2. Holding several years of withdrawals in safer assets, such as short-term fixed income, so that withdrawals in a bad year do not require selling shares at low prices.
  3. Flexible withdrawals: taking less in bad years where possible.
  4. Planning with cautious return assumptions, rather than the average return.

None removes risk entirely; each trades some expected return for more certainty when it matters most.

Why it matters

Retirement planning and goal planning often assume a steady average return. Real returns arrive in an unpredictable order, and with money flowing in or out, the order can matter as much as the average. Understanding sequence risk explains why portfolios should become more conservative near goals and in early retirement.

Limitations

The examples use made-up returns and simple yearly cash flows. Real sequences, costs and taxes differ. No one can know the future order of returns, which is exactly why planning for bad sequences matters.

Common mistakes

  • Planning withdrawals from the average return.
  • Holding a near-retirement portfolio mostly in equity without a cash buffer.
  • Stopping a SIP after early losses, when continuing buys at lower prices.
  • Assuming a recovery will always come in time.

Try it yourself

  1. Write down five yearly returns that include two bad years.
  2. In a spreadsheet, calculate the result of ₹10 lakh with ₹1 lakh withdrawn each year, in your order and in reverse.
  3. Repeat with ₹1 lakh added each year instead.
  4. Note how much the order changed each result, and what that implies for your own goals.

Key takeaways

  • For a lump sum left untouched, the order of returns does not change the final value. Only the returns themselves matter.
  • When money is withdrawn, losses early on are much more damaging, because withdrawals lock in the losses and less money is left to recover.
  • When money is added regularly, losses early on are less damaging, because later contributions buy at lower prices; losses near the end hurt most.
  • Sequence risk is greatest just before and just after the point when contributions stop and withdrawals begin.
  • Holding several years of withdrawals in safer assets, and reducing risk as a goal approaches, can soften sequence risk.

Check your understanding

Two retirees each start with ₹10 lakh and withdraw ₹1 lakh a year. Over five years, both get the same returns, but one gets the losses in the first two years and the other in the last two. Who is likely to end with more?

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Terms used in this lesson

Sequence-of-returns risk
The risk that bad returns arrive at the worst time, such as just before or just after withdrawals begin, leaving less money than the average return suggests.
Drawdown
The fall in value of an investment or index from its most recent peak, usually expressed as a percentage.
Systematic investment plan
A way of investing a fixed amount in a mutual fund at regular intervals, often monthly.

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This lesson is general education, not investment advice. Examples use made-up or clearly dated figures to explain ideas; they are not recommendations. Read the disclaimer.