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099

Case 099Investment evaluation and pitchesCore

A trust has Rs 100 crore to spread across liquid, short-duration debt, large-cap and flexi-cap funds. It spends Rs 6 crore a year and can bear a 10% fall in a bad year. Propose an allocation.

MSCIAnonymous interview candidate in · 2013

1The situation

Gyanodaya Trust, an invented private family trust that funds school scholarships, has Rs 100 crore to invest. It pays out Rs 6 crore a year in scholarships and running costs. The trustees say they can live with the portfolio falling 10% in a bad year, but not more, and they do not want to sell equity in a falling market to pay the scholarships.

The adviser has narrowed the choice to four fund types, with these long-run assumptions: liquid funds, 7% expected return with 1% volatility; short-duration debt funds, 8% with 3%; large-cap equity funds, 12% with 18%; flexi-cap equity funds, 14% with 22%. Volatility here is the typical yearly swing around the expected return.

2Your task

Propose an allocation, show its expected return and its loss in a bad year, and explain the order in which you made the decisions.

Quick check

With two years of spending in liquid funds and the rest split between debt and equity, roughly how much equity can the trust hold and stay within a 10% bad-year fall?

Worked solution

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

30-second answerThe answer to give first

Hold 12% in liquid funds, 48% in short-duration debt, 25% in large-cap and 15% in flexi-cap equity: an expected return of about 9.8% with a bad-year fall of about 8.9%, inside the 10% limit. The liquid bucket holds two years of scholarships, so no equity is sold in a fall. Equity is capped near 44% by the loss limit, and 40% leaves a margin. The order matters: spending first, then loss tolerance, then return.

Step 1Where do you start: the return or the spending?

A household that keeps six months of expenses in the bank before buying shares is not being timid; it is making sure a bad year in the market never forces a sale. Allocate in the order of the trust's constraints: cash for the spending it cannot postpone, then a ceiling on loss, and only then the search for return. Any honest allocation answer begins with the investor's needs and appetite for risk, and here both are given. Rs 6 crore a year of scholarships is the first claim. Two years of it, Rs 12 crore, goes into liquid funds, which barely move in value. That liquidity bucketMoney set aside in very low-risk, quickly redeemable investments to cover known spending for a fixed period, so that riskier holdings never have to be sold at a bad time. lets the trustees ride out a bad year without selling equity at the bottom.

Step 2How much equity can a 10% loss limit carry?

Define a bad year plainly: each fund returns its expected return less two volatilities, roughly a one-in-forty-year outcome if returns were normally distributed, and assume they all happen at once. Liquid then earns 5%, short-duration debt 2%, large-cap equity -24% and flexi-cap -30%. With equity split five to three between large-cap and flexi-cap, the equity sleeve falls about 26.2% in that year. With the remaining money in debt, the portfolio reaches the 10% limit at about 44% in equity, so 40% leaves about a point of room under the limit.

The relationship
0.12(5%)+(0.88−e)(2%)+e(−26.25%)=−10%  ⇒  e=43.8%0.12(5\%) + (0.88 - e)(2\%) + e(-26.25\%) = -10\% \;\Rightarrow\; e = 43.8\%
0.12 (5%)the liquid bucket in a bad year: 7% expected less two volatilities of 1%
(0.88 - e) (2%)short-duration debt in a bad year: 8% less two volatilities of 3%
e (-26.25%)the equity sleeve, five parts large-cap at -24% and three parts flexi-cap at -30%
What it says in wordsHolding the liquid bucket at 12%, the portfolio's bad-year fall reaches exactly 10% when equity is about 44% of the money; any more and the trustees' limit breaks.
Each extra point of expected return costs about 6 points of bad-year loss8%10%12%-20%-15%-10%-5%0%Return in a bad year, every fund at its expected return less two volatilitiesExpected return a yearbeyond the trust's10% loss limit0% equity20% equity60% equity88% equityProposal: 40% equity, 9.78%
As Gyanodaya's equity share rises from nothing to 88%, expected return climbs from 7.9% to 12.1% while the bad-year result falls from +2.4% to -22.5%, so the 10% limit, crossed at about 44% equity, decides the allocation more than the return does.
Step 3What does the proposed allocation earn and risk?

Put 48% in short-duration debt, 25% in large-cap equity and 15% in flexi-cap equity alongside the 12% liquid bucket. The expected return is about 9.78%, Rs 9.8 crore a year against Rs 6 crore of spending, and the bad-year fall is about 8.94%, inside the limit. Large-cap gets the larger share of equity because it falls less for each point of return; flexi-cap adds two points of expected return for four more points of volatility and is kept the smaller part.

Fund typeWeightRs croreExpected returnBad yearContribution, expectedContribution, bad year
Liquid12%127%+5%0.84%+0.60%
Short-duration debt48%488%+2%3.84%+0.96%
Large-cap equity25%2512%-24%3.00%-6.00%
Flexi-cap equity15%1514%-30%2.10%-4.50%
Portfolio100%1009.78%-8.94%
Gyanodaya's proposed mix earns an expected 9.78% and loses about 8.94% in a bad year in which every fund has its bad year at once, with nearly all of that loss coming from the 40% held in equity.
Two years of spending set aside, then return from what is left12Liquid7% expected, bad year +5%48Short-duration debt8% expected, bad year +2%25Large-cap equity12% expected, bad year -24%15Flexi-cap equity14% expected, bad year -30%Rs 100 croreExpected return9.78% = Rs 9.8 crorecovers Rs 6 crore of spendingBad year, all at once-8.94% inside the -10% limitLiquid bucket2 years of spendingno equity sold in a bad year
The proposed Rs 100 crore allocation keeps Rs 12 crore, two years of scholarships, in liquid funds and Rs 48 crore in short-duration debt, so the 40% in equity can lift the expected return to 9.78% while the bad-year fall stays at 8.94%, inside the trust's 10% limit.
Step 4What are the limits of this answer?

Three. First, the bad year assumes every fund falls together. If debt and equity moved independently, with only the two equity funds closely linked, the same portfolio's bad year would be about -5.7%, much milder; the all-at-once version is deliberately harsh because in a real crisis things do tend to fall together. Second, the return assumptions are long-run guesses, not promises, and the trustees should see the allocation tested against them, not built on them. Third, if the scholarships must grow with inflation, the trust needs a return of 6% plus inflation just to stand still in real terms, and at about 9.8% it may be eroding slowly; that is a trade-off for the trustees, not the adviser, to make. Finally, check the trust deed and the tax status: in India a registered charitable trust is limited to the investment modes the income-tax rules permit, which may exclude equity funds altogether, so confirm the current list before any of this applies.

Where candidates lose it

The common loss is starting from return: the trust needs a lot, so put most of it in flexi-cap at 14%. With 88% in equity the bad year is a fall of about 22%, more than double the trustees' limit, and the scholarships would be paid by selling equity at the bottom.

The second loss is answering in generalities, a balanced mix of debt and equity, without a number for the bad year. The interviewer wants to see the loss limit turned into a maximum equity weight, and that takes one line of arithmetic.

What the interviewer asks next

  • The trustees raise the loss limit to 15%. How much equity can they hold, and what does it add to expected return?
  • Scholarships must grow 6% a year. Does this allocation keep the corpus whole in real terms?
  • A donor gives Rs 20 crore more in a year when equity has just fallen 25%. Where would you put it?
  • How would you rebalance after a year in which equity rose 30%?

Asked at MSCI, Risk Management, Anonymous interview candidate in, 2013 (Wall Street Oasis): How would you allocate an investment mandate of 100 million among a portfolio of funds?

← Case 098A business park leases 5 lakh sq ft at Rs 90 a month with 85% occupancy. Value it at an 8% cap rate, then test the value per square foot against a replacement cost of Rs 8,000.Case 100 →A steel trader seeks an asset-based loan against receivables, inventory and machinery, with aged debts, one oversized customer and slow-moving stock. Compute the borrowing base and say how much you would lend.

Company names and figures are illustrative.

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