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035

Case 035Retirement, withdrawals and life eventsHard

A 60-year-old retires with Rs 1.5 crore earning 8.5% and withdraws Rs 90,000 a month, rising 6% a year. How long does the money last, and how much sooner does it run out if the first two years return minus 15% and minus 5%?

1The situation

Prakash Hegdekar, 60, has just retired with Rs 1.5 crore in a 40/60 equity and debt portfolio. His adviser assumes, for planning only, that the portfolio earns 8.5% a year. Prakash needs Rs 90,000 a month to live and expects that need to rise about 6% a year with inflation. He has no pension, and his house is paid for.

He withdraws monthly at the start of each month, and the amount steps up 6% each year. His adviser wants to show him two paths: steady returns every year, and a bad start in which the portfolio returns minus 15% in year 1 and minus 5% in year 2 before returning to 8.5%.

2Your task

How long does the money last on the steady path, how much sooner does it run out after a bad start, and what would you change in the plan?

Quick check

Roughly how much sooner does the money run out with the two bad opening years?

Worked solution

Try it on paper, then open one step at a time.

30-second answerThe answer to give first

On steady returns the money lasts about 17.3 years, to age 77; with two bad opening years it lasts about 11.5, to 72, nearly six years less. The same two bad years at 73 and 74 cost only about a year. Even the steady case runs out too early for a 60-year-old, so the plan needs a lower starting withdrawal, about Rs 60,000 a month lasts thirty years, and two years of spending held outside equity.

Step 1How long does the money last if every year is average?

Start with the withdrawal rate. Rs 90,000 a month is Rs 10.8 lakh a year, 7.2% of the corpus, rising 6% a year, against an 8.5% return. The real return, 8.5% less 6% of rising spending, is only about 2.4%, so a 7.2% starting withdrawal must eat into capital. Running the months through, the corpus barely grows for the first few years, peaks around Rs 153 lakh, then falls faster and faster as withdrawals compound. It is exhausted after about 17.3 years, when Prakash is 77.

Step 2Why do two bad years at the start cost six years?

Picture selling your harvest in a year when prices have crashed, because you need to eat. You sell more sacks for the same cash, and those sacks are gone when prices recover. Losses during the withdrawal years force the sale of more units at low prices, so early losses shrink the base that every later year compounds on. This is sequence riskThe danger that the order of returns, not just their average, decides how long a portfolio lasts once withdrawals have started.. After minus 15% and minus 5%, the corpus is about Rs 101 lakh against Rs 152 lakh on the steady path, and the runway falls to 11.5 years.

Two bad years at the start cut the runway by about six years50100150Rs lakh60626466687072747678Ageruns out at 77.3runs out at 71.5Steady 8.5% every year-15% then -5%: Rs 101 lakhafter 2 years, then 8.5% a year
With steady 8.5% returns Prakash's corpus lasts until about age 77.3, but two bad opening years drop it to about Rs 101 lakh by the end of year 2 and it runs out at about 71.5, even though every later year earns the same 8.5%.

Now move the same two bad years to ages 73 and 74. The runway is about 16.2 years, only about a year short of the steady case, because by then the corpus is smaller and fewer rupees are exposed. The average return over the period is almost identical in both cases; only the timing differs. That is why a retirement plan cannot be judged on its expected return alone.

Same bad years, different timing, very different runwaySteady 8.5% every year17.3 yrsBad years at 73 and 7416.2 yrsBad years at 60 and 6111.5 yrsBad years first, spending cut 15%13.8 yrsYears until the corpus is exhausted, withdrawals rising 6% a year
The same minus 15% and minus 5% years shorten the runway to about 16.2 years if they arrive at 73 and 74 but to 11.5 years if they arrive at 60 and 61, and cutting spending 15% after a bad start only restores it to 13.8 years.
Step 3What would you change in the plan?

First, the honest message: even the steady case runs out at about 77, and a 60-year-old should plan for thirty years. At these assumptions, a starting withdrawal of about Rs 60,000 a month, rising 6% a year, lasts thirty years on steady returns. If he cannot live on that, the gap has to come from somewhere: part-time income for a few years, a smaller step-up, or using the house later.

Second, protect the first years against sequence risk. Hold about two years of withdrawals in liquid and short-term debt funds, refilled from the portfolio in good years, so a bad equity year never forces a sale. And agree a rule in advance: after a year below minus 5%, skip that year's step-up. The 8.5% and 6% are assumptions, not forecasts, so rerun the plan every year with actual numbers.

Where candidates lose it

The common loss is dividing the corpus by the yearly withdrawal, about 14 years, or running a single average return and stopping. Neither shows that withdrawals rise every year or that the order of returns matters.

The second miss is treating the bad years as a two-year delay. Losses while withdrawing are permanent for the units sold, which is why two bad years cost about six years of runway.

What the interviewer asks next

  • How much would an annuity covering half his spending change the runway?
  • Would you raise his equity share to 60% to lift the expected return? What does that do to sequence risk?
  • How would you set the size of the two-year cash bucket and the rule for refilling it?
← Case 034Write the investment memo for a specialty chemicals exporter with 62% of revenue from three customers, a 24% EBITDA margin and a new plant that doubles capacity next year. What goes in, in what order, and what is the recommendation?Case 036 →A small cap fund grew from Rs 5,000 crore to Rs 30,000 crore in four years while its yearly alpha fell from 4.1% to 0.8%, and its median holding trades Rs 22 crore a day. Is it still worth holding, and at what size does the strategy stop working?

Company names and figures are illustrative.

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