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074

Case 074Retirement, withdrawals and life eventsHard

The Vidyadhara Scholarship Trust has a Rs 10 crore corpus and must spend 5% a year on scholarships, with costs rising 6% a year. What return must it earn to keep the corpus intact in real terms (about 11.3%), how much equity does that need, and what spending rule protects scholarships in a bad year?

1The situation

The Vidyadhara Scholarship Trust holds a corpus of Rs 10 crore and pays scholarships to engineering students. Its deed says it must spend 5% of the corpus a year, Rs 50 lakh in the first year, and that the corpus is to last for ever. Tuition and hostel costs have been rising about 6% a year, so Rs 50 lakh buys fewer scholarships every year unless the corpus grows with costs.

The trustees have asked an adviser three questions. What return does the corpus need? How much equity would that take, if a debt portfolio is assumed to return 7% and equity 12.5% over the long run, both illustrative? And what should the trust do in a year the market falls, when the deed says 5% but the students are counting on last year's amount plus inflation?

2Your task

Work out the required return, the equity weight it implies, and a spending rule that keeps scholarships steady through a bad year.

Quick check

Why is the required return more than 5%, the spending rate?

Worked solution

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

30-second answerThe answer to give first

The corpus needs about 11.3% a year: 5 points to pay out, 6 points to grow with costs, and a little more because scholarships go out during the year rather than at its end. With debt assumed at 7% and equity at 12.5%, that takes about 78% in equity, which exposes the corpus to falls of 23% or so. A rule that spends 5% of the average corpus over the last three years, backed by a two-year reserve, cuts scholarships about 6% after such a fall instead of 28%.

Step 1What return keeps the corpus intact in real terms?

A family that lives on the interest from a fixed deposit finds, ten years on, that the same interest buys far less; the capital was never touched, and it still shrank in what it could do. A perpetual spender has to earn its spending plus inflation, because the corpus must grow as fast as costs for the same 5% to keep buying the same scholarships. If scholarships were paid in one cheque at the end of the year, the sum is exact: 6% growth plus 5% spending is 11.0%. Paid in one cheque at the start, the corpus has only 95% working all year and the requirement is 11.6%. Paid through the year, as tuition actually falls due, it is about 11.3%, and that is the number to plan on.

The return the trust needs, and the gap a debt portfolio leaves, percentage points+5.0Spending5% of corpus+6.0Inflationcosts rise 6%+0.3Timingpaid through year11.3Requiredreturn7.0Debt fundassumed 7%4.3 point gap:78% in equityat 12.5% assumedSpending and inflation are the trust's own numbers; the 7% debt and 12.5% equity returns are illustrative assumptions, not forecasts.
Five points of spending, six of cost inflation and 0.3 for paying scholarships through the year add up to a required return of 11.3%, which sits 4.3 points above an assumed 7% debt return, a gap that only an equity weight near 78% closes at an assumed 12.5% equity return.
Step 2How much equity does that need, and what does it expose the trust to?

On the trustees' own assumptions, a debt portfolio returns 7%, 4.3 points short. Equity adds 5.5 points over debt for every 100% of the portfolio, so closing the gap needs 78% in equity. A trust that must spend 5% real for ever is forced into a mostly equity portfolio, whatever its trustees' temperament, because nothing else is assumed to earn enough. The price of that is volatility: a 30% equity fall takes 23% off the corpus in one year. Compromise has a price too: at 60% equity the expected return is 10.3%, 1.0 points short, and a shortfall that small, compounded, leaves the corpus about 16% smaller in real terms after twenty years. The assumptions are illustrative; the trustees should rerun them with their own figures and with fund costs deducted.

Step 3What spending rule protects scholarships in a bad year?

Run the three obvious rules through a crash. Years one and two go to plan; in year three the corpus falls 23%; year four recovers 18%; year five is on plan. A strictly inflation-linked plan pays Rs 60 lakh in year four, which is 7.3% of a shrunken corpus and eats capital the deed says must last. A rule of 5% of the current corpus pays Rs 41 lakh, a cut of 28% that lands on students mid-degree. A rule of 5% of the average corpus over the last three years pays Rs 50 lakh, a cut of 6%, because the two good years before the fall still count. That is a smoothing ruleA spending rule that sets the payout from an average of past corpus values rather than the latest one, so that a single bad year changes spending only a little., and it is how endowments spend.

Scholarships paid under three spending rules when the corpus falls in year 3, Rs lakh405060corpus falls 23%Year 1Year 2Year 3Year 4Year 541: cut 28%50: cut 6%60: 7.3% of corpusInflation-linked plan5% of current corpus5% of 3-year average corpus
When the corpus falls 23% in year three, a rule of 5% of the current corpus cuts year-four scholarships by 28% to Rs 41 lakh, while 5% of the three-year average corpus pays Rs 50 lakh, within 16% of the inflation-linked plan, and the plan itself would have spent 7.3% of the corpus.
YearReturnPlan, Rs lakh5% of current5% of 3-yr averageAverage rule, % of corpus
1+11.3%50.050.050.05.0%
2+11.3%53.053.051.54.9%
3-23.3%56.256.253.14.7%
4+18.0%59.640.650.06.1%
5+11.3%63.145.747.55.2%
Corpus after year 5, Rs crore9.289.699.61
Over five years including the fall, the averaging rule never cuts scholarships by more than 6% in a year and leaves a corpus of Rs 9.61 crore against Rs 9.28 crore under the inflation-linked plan, while the current-corpus rule protects the corpus best at Rs 9.69 crore and the students worst with a 28% cut.

Two practical pieces complete the rule. Keep about two years of scholarships, Rs 103 lakh, in a liquid or short debt fund so that no scholarship is ever paid by selling equity in a fall; that reserve sits comfortably inside the 22% debt allocation. And write the rule into the trust's investment policy so the trustees do not have to decide under pressure. The averaging rule spends 6.1% of the corpus in the bad year, above the deed's 5%, and it lags on the way back up too: year five pays Rs 48 lakh against a plan of Rs 63 lakh, because the crash year stays in the average. That lag is the price of steadiness, and the trustees should confirm the deed allows the average to be the base, and if not, amend it. A spending rule chosen in a calm year is the only kind that survives a bad one.

Where candidates lose it

Candidates say the trust needs 5% plus a margin and propose a conservative, mostly debt portfolio. Spending 5% real for ever needs about 11.3%, and a 60% equity portfolio falls short by enough to shrink the corpus by about a sixth in real terms over twenty years. The deed's promise forces the equity.

The other miss is answering the bad year with a cut. A spending rule exists so the trustees do not have to choose between the deed and the students; the three-year average, with a reserve, is the standard answer.

What the interviewer asks next

  • The trustees want to cap equity at 50%. What would you tell them has to give: the 5%, the inflation link, or the perpetuity?
  • How would you set the equity and debt return assumptions, and how often should the trust revisit them?
  • Scholarship costs rise 10% in one year because of a fee revision. Does the rule change?
← Case 073At Madhuvan Mutual Fund, a missed 1:1 bonus issue understated an equity fund's NAV by 0.9% for three days, during which investors bought Rs 45 crore and redeemed Rs 30 crore. Who was harmed, by how much, and who pays to put it right?Case 075 →Pitch Bhandarika Logistics, a warehousing company with 18 million sq ft, 91% occupancy, 5% annual rent escalation and a 12% yield on new capex. Is its growth funded by debt or by cash flow, and what is the pitch?

Company names and figures are illustrative.

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