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003

Case 003Risk profiling and IPSCore

An education trust with Rs 25 crore must pay grants of 5% a year that rise with 3% inflation, for ever. What return does it need, and what goes in the objectives and constraints of its investment policy?

1The situation

The Chaitrali Education Trust funds scholarships at twelve schools. Its corpus is Rs 25 crore. The trustees have promised the schools Rs 1.25 crore of grants in the coming year, 5% of the corpus, and have told them that grants will rise each year with inflation, assumed at 3%. The trust must exist in perpetuity.

Investment management, custody and audit cost about 0.5% of the corpus a year. The trustees want you to draft the objectives and constraints section of the trust's investment policy statement.

2Your task

What return must the trust earn, what does each section of the policy say, and what happens if the portfolio earns only 7%?

Quick check

Roughly what nominal return does the trust need each year to keep grants rising with inflation for ever?

Worked solution

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

30-second answerThe answer to give first

The trust needs about 8.5% a year, or 8.7% if the pieces are compounded. A perpetual spender must earn its spending rate in real terms, 5%, plus inflation of 3%, plus costs of 0.5%. The policy writes that build-up as the return objective and pairs it with a liquidity line of Rs 1.25 crore rising 3% a year. At 7% the corpus loses about 40% of its real value in 20 years.

Step 1Why must a perpetual trust beat inflation by its whole spending rate?

Think of a family farm that must feed the family every year and still hand the same farm to the next generation. It can eat the harvest, never the land. A perpetual trust can spend only what it earns above the growth needed to keep the corpus's buying power intact, so its real return must at least equal its spending rate. For Chaitrali that means 5% real. Add 3% of inflation and 0.5% of costs and the nominal target is 8.5%. If grants are paid at the end of each year, the sum is exact: a corpus of Rs 25 crore earning 8.5% less 0.5% of costs ends the year at Rs 27.00 crore, pays Rs 1.25 crore, and starts year 2 at Rs 25.75 crore, exactly 3% larger.

The relationship
rrequired≈s+π+c=5.0%+3.0%+0.5%=8.5%(1.05)(1.03)(1.005)−1=8.69%r_{\text{required}} \approx s + \pi + c = 5.0\% + 3.0\% + 0.5\% = 8.5\% \qquad (1.05)(1.03)(1.005) - 1 = 8.69\%
sspending rate, grants as a share of the corpus
πinflation, the rate grants must rise
cannual costs as a share of the corpus
What it says in wordsThe return objective is spending plus inflation plus costs; compounding the three gives a slightly higher and safer figure to write into the policy.
Step 2What does each line of the objectives and constraints section say?

An investment policy statementA written agreement between a client or trustees and the adviser that sets the return objective, risk limits and constraints the portfolio must work within. has two objectives, return and risk, and five constraints: time horizon, liquidity, legal and regulatory, tax, and unique circumstances. Every line must come from the trust's own facts, and the return line must be built from spending, inflation and costs rather than picked from a list. Risk is where candidates stumble: a perpetual horizon gives the trust a high ability to ride out falls, but promised grants mean it has little ability to absorb a cut in spending, so the policy says both.

The policy page: the return objective is built, not chosenChaitrali Education Trust: investment policyReturn8.5% a year, nominal, after costs= 5.0% spending + 3.0% inflation + 0.5% costsRiskCan bear short falls: horizon is perpetualCannot bear a cut in grantsHorizonPerpetual, reviewed every three yearsLiquidityRs 1.25 crore in year 1, rising 3% a yearLegalOnly forms of investment the trust deedand charity tax rules permit (confirm)TaxExempt if conditions met (confirm)UniqueGrants are promised to schools in advance1Add the pieces: the trust mustearn its spending and its inflation2A long horizon raises the abilityto take risk; fixed grants limit it3The first rupee of the portfoliois the next year's grants4Legal limits can rule out wholeasset classes before any view
The Chaitrali policy page sets a return objective of 8.5% built from 5% spending, 3% inflation and 0.5% costs, and a liquidity need of Rs 1.25 crore rising 3% a year, with legal and tax lines left for the trustees to confirm against current rules.

The legal and tax lines are where you state a framework and stop. Indian charitable trusts can generally hold their funds only in forms of investment that income tax rules permit, and their exemption depends on applying enough of their income to their objects each year. Write both constraints into the policy and have the trustees confirm the current permitted list and conditions with their tax adviser, because a portfolio that breaks either can cost the trust its exemption, which is far more than any return difference.

Step 3What happens if the trust earns 7% instead?

The shortfall looks small, 1.5 points, but it compounds against a spending line that keeps rising. Earning 7% and paying the same grants, the corpus is worth about Rs 14.8 crore in today's rupees after 20 years, against Rs 25 crore at 8.5%. By year 20 the promised grant takes 8.1% of the corpus instead of 5%, and the trust is now eating its land. The fix is either a riskier portfolio, if the trustees can bear it, or a spending rule tied to a smoothed corpus value rather than a fixed promise.

Corpus in today's rupees: 1.5 points short of the objective, 20 years on1518212427Year 0Year 5Year 10Year 15Year 20Earning 8.5%:Rs 25.0 croreEarning 7.0%:Rs 14.8 croreRs crore, in today's rupeesBy year 20 the grant is 8.1% of the corpus at 7%,not 5%: the spending rate creeps up as the corpus shrinks
In today's rupees the corpus holds at Rs 25 crore if the trust earns 8.5%, but falls to about Rs 14.8 crore after 20 years at 7%, when the grant has risen to 8.1% of what is left.

Where candidates lose it

The usual miss is naming 5% as the required return because that is what the trust spends. That keeps the corpus flat in rupees while grants rise, so its real value shrinks every year and the trust quietly fails its perpetual mandate.

The second is writing a generic policy: moderate risk, long horizon, some liquidity. Interviewers want each line tied to a number from the case, and the tension between a perpetual horizon and fixed grants named out loud.

What the interviewer asks next

  • The trustees want to cap equity at 30%. Can the trust still reach 8.5%?
  • How would a spending rule of 5% of a three-year average corpus change the risk section?
  • A donor offers Rs 5 crore that must be spent within five years. How does the policy treat it?
← Case 002A family needs Rs 50 lakh for a daughter's wedding in eight years and already holds gold jewellery and a fixed deposit. How much must they invest each month, and should the jewellery count towards the goal?Case 004 →A 55-year-old follows a glide path from 70% to 40% equity by 62. Set the yearly steps, then show what a 25% equity fall in year two does to the path and what you do about it.

Company names and figures are illustrative.

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