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072

Case 072Real assets and private marketsCore

An endowment of Rs 3,000 crore wants 10% of NAV in private equity within five years. Capital is called 25%, 35%, 25% and 15% over four years and distributions start in year four. How much must it commit each year to reach Rs 300 crore of NAV?

1The situation

Chinar Endowment has Rs 3,000 crore and no private equity. The investment committee wants private equity at 10% of NAV, Rs 300 crore, by the end of year five, and plans to commit the same amount to new funds at the start of each of the next five years. For simplicity, hold the endowment's total at Rs 3,000 crore.

Each fund calls 25%, 35%, 25%, 15% of its commitment in its first four years. Invested capital grows 12% a year. Distributions start in a fund's fourth year: 15% of its NAV that year, 25% in year five, rising after that.

2Your task

What yearly commitment reaches Rs 300 crore of NAV by year five, how much must stay liquid for uncalled commitments, and what happens if the endowment keeps committing at the same pace?

Quick check

To hold Rs 300 crore in private equity by year five, how much should Chinar commit in total over five years?

Worked solution

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

30-second answerThe answer to give first

Commit about Rs 72 crore a year, Rs 358 crore in all, to reach Rs 300 crore of NAV by year five. By then only Rs 265 crore has been called, Rs 53 crore has already come back, and Rs 93 crore is still owed to funds, which must stay liquid. Keep committing Rs 72 crore a year and NAV overshoots to about Rs 451 crore by year ten, so the pace must fall to about Rs 45 crore a year once the target is reached.

Step 1Why is committing Rs 300 crore not enough?

Because a commitment is a promise to pay later, not money invested today. It is like booking a table for a large group: guests arrive over the evening, and the first ones leave before the last ones sit down, so the room is never as full as the booking. A fund draws its commitment over four years and starts returning cash in its fourth, so at any moment a good part of each commitment is either not yet invested or already paid back. A single Rs 300 crore commitment in year one peaks at only about Rs 349 crore in year 4 and shrinks from there.

Step 2What yearly commitment hits the target?

Model five vintages, one a year, each following the call and distribution pattern, and solve for the commitment that makes year-five NAV equal Rs 300 crore. The answer is about Rs 71.5 crore a year, Rs 358 crore of commitments in total, about 1.19 times the target. NAV builds as 20, 71, 147, 230, 300 over the five years. Of the Rs 358 crore committed, Rs 265 crore has been called and Rs 53 crore has already come back as distributions.

Commit more than the target, because money goes in slowly and comes out early0100200300400500yr 0yr 2yr 4yr 6yr 8yr 10target: 10% of Rs 3,000 croreRs 72 crore a year: 300 in year 5same pace for 10 years: 451one Rs 300 crore commitment: peaks at 349 in year 4Rs crore of private equity NAV; years from the first commitment
Committing Rs 72 crore a year takes Chinar's private equity to Rs 300 crore in year five, but at the same pace it overshoots to about Rs 451 crore by year ten, while one Rs 300 crore commitment peaks at about Rs 349 crore and never reaches the target.
End of year12345
NAV, Rs crore2071147230300
Share of Rs 3,000 crore0.7%2.4%4.9%7.7%10.0%
Still owed to funds, Rs crore5482939393
Chinar's private equity reaches 10% of NAV in year five while Rs 93 crore of commitments remain uncalled and must be met from liquid assets when the funds ask.
Step 3What happens after year five, and what are the risks?

Keep committing Rs 72 crore a year and the pipeline keeps filling: NAV reaches about Rs 451 crore by year ten, 15% of the endowment. To hold Rs 300 crore steady, the commitment pace must drop to about Rs 45 crore a year once the programme matures, which is why endowments model pacing every year rather than setting a number once. The other risk is the denominator effectWhen public markets fall, the total fund shrinks, so the private allocation becomes a bigger share even though nothing about it changed.: if public markets fall 25% and private NAVs lag, private equity jumps from 10% to about 13% of the fund, and the committee may have to pause commitments just when prices are attractive.

And keep the liquidity visible. The Rs 93 crore still owed at year five can be called at short notice, often in a downturn when distributions dry up. A sensible rule keeps uncalled commitments comfortably covered by liquid assets, bonds and cash, which for Chinar is easy at Rs 93 crore against Rs 3,000 crore. The limitation is the pattern itself: calls and distributions vary widely by fund and by year, so these numbers are a plan to revise, not a schedule to trust.

Where candidates lose it

The common loss is committing exactly the target, Rs 300 crore, and expecting 10% of NAV to appear. Slow calls and early distributions mean NAV never reaches the commitment, so the endowment stays underweight for years.

The opposite error is committing aggressively to catch up and then carrying on: without cutting the pace later, the programme overshoots and leaves the endowment short of liquidity in a downturn.

What the interviewer asks next

  • Public markets fall 25% in year three. What happens to the private equity share and to the commitment plan?
  • How would you change the plan if funds called capital faster, over three years?
  • Why might an endowment buy existing fund stakes on the secondary market to reach the target sooner?
  • How would you split commitments across managers and vintages?
← Case 071The market values a refiner at 5 times current EBITDA, earned at a refining margin of 12 dollars a barrel. Your variant view uses a mid-cycle margin of 7 dollars. Work out EBITDA at both margins and defend the multiple you would apply.Case 073 →The central bank hikes 100 basis points when 25 was expected. Two-year yields rise 80 basis points, ten-year yields 30, the currency 3% and equities fall 6%. How would a macro fund have expressed the view in advance, and how would it size the trade on Rs 500 crore at an 8% volatility target?

Company names and figures are illustrative.

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