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099

Case 099Liquidity, redemptions and stressHard

A Rs 5,000 crore equity fund holding 3% cash sees net outflows of 12% in a month while the market falls 25%. Show the forced selling, the impact cost on the least liquid third, and how index futures could have bridged the gap.

1The situation

Parvatika Mutual Fund's mid-cap equity fund began the month with Rs 5,000 crore of net assets, 3% in cash and the rest in stocks that its risk team sorts into three equal tiers by trading volume. During the month the market fell 25% and investors redeemed a net Rs 600 crore, 12% of the opening assets.

For the arithmetic, assume the fund sold stocks in proportion to the three tiers, with impact costs, the price concession for selling in a hurry, of 0.3% on the liquid third, 0.8% on the middle third and 1.5% on the least liquid third; assume the fund sold a day or two after each redemption was priced, at prices on average 1% lower than the NAV the leavers received; and assume index futures can be traded at 0.05% impact. An orderly sale over fifteen days would cost 0.1%, 0.3% and 0.5% by tier. These are illustrative figures, not market data.

2Your task

Trace where the Rs 600 crore came from, size the costs and say who bore them, and show how selling index futures on day one would have changed the outcome.

Quick check

Who pays the impact cost and slippage when a fund sells stocks to meet redemptions in a falling market?

Worked solution

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

30-second answerThe answer to give first

Cash covered Rs 150 crore of the Rs 600 crore; the other Rs 450 crore was forced selling, and it cost the investors who stayed about Rs 8.4 crore. Impact was Rs 3.90 crore, Rs 2.25 of it on the least liquid third, and the lag between the leavers' NAV and the sale prices cost about Rs 4.5 crore more: 26 basis points of what remained. Selling Rs 450 crore of index futures on day one and unwinding the stocks over fifteen days would have cut that to about Rs 1.8 crore.

Step 1Where did the Rs 600 crore come from?

From the cash first, then from whatever could be sold. A family that must find Rs 6 lakh in a month empties the savings account and then sells things, and the things it sells go for less than they were worth because it needs the money now. The fund had Rs 150 crore of cash, which covered a quarter of the outflow; the remaining Rs 450 crore had to come from selling stocks into a market already down 25%. Selling in proportion to the tiers, Rs 150 crore from each, keeps the portfolio's shape but forces Rs 150 crore through the least liquid names, the ones whose buyers vanish in a fall. The other choice, selling only the liquid third, costs less today and leaves the stayers with a portfolio that is 38% least-liquid instead of 33%, so the next redemption wave is worse.

Step 2What did the forced selling cost, and who paid?

Two costs, both invisible on the day. Impact: Rs 150 crore at 0.3%, 0.8% and 1.5% by tier is Rs 0.45, Rs 1.20 and Rs 2.25 crore, Rs 3.90 crore in all, more than half of it on the least liquid third. Slippage: the leaver is paid the NAV of the day the request lands, and the fund sells a day or two later; in a month the market fell 25%, an average gap of 1% is conservative, and 1% of Rs 450 crore is Rs 4.5 crore. Together about Rs 8.4 crore, 26 basis points of the Rs 3188 crore that remained. The leavers were paid before any of it was realised, so every rupee of it came out of the stayers' NAV.

Where a 12% outflow goes when the market is falling: the stayers pay the exitOutflowRs 600 crore12% of Rs 5,000Cash paysRs 150 crore (3%)Stocks soldRs 450 croreLiquid thirdsell Rs 150 crore at 0.3%Rs 0.45 crMiddle thirdsell Rs 150 crore at 0.8%Rs 1.20 crLeast liquid thirdsell Rs 150 crore at 1.5%Rs 2.25 crimpact 3.90+ slippage 4.5Rs 8.4 crore26 bp of what staysSlippage: the leaver gets the day's NAV; the fund sells a day or two later, assumed 1% lower.Impact: the price concession to sell in a hurry, assumed by tier. Both land on the remaining investors.
Of the Rs 600 crore outflow, cash met Rs 150 crore and Rs 450 crore of stocks had to be sold, costing about Rs 3.90 crore of impact, mostly in the least liquid tier, plus Rs 4.5 crore of slippage, all of it borne by the investors who stayed.
Rs croreSoldImpact, rushedImpact, orderly
Liquid third1500.450.15
Middle third1501.200.45
Least liquid third1502.250.75
All stocks sold4503.901.35
Slippage at 1%, or futures at 0.05% each way4.500.45
Cost to remaining investors8.40 (26 bp)1.80 (6 bp)
Rushed selling costs the stayers about Rs 8.4 crore on these assumptions, while hedging with futures and selling over fifteen days costs about Rs 1.8 crore.
Step 3How could index futures have bridged the gap?

By separating the two things a redemption forces the fund to do at once: cut market exposure today, and turn stocks into cash. On the day the redemptions land, the fund sells Rs 450 crore of index futures, which locks in the market level the leavers were paid at; it then sells the stocks over fifteen days at orderly impact, buying back the futures as the cash comes in. Futures cost about 0.05% each way, Rs 0.45 crore in total, and the orderly impact is Rs 1.35 crore, so the stayers bear about Rs 1.8 crore instead of Rs 8.4 crore. The slippage disappears because the hedge was on from the NAV date. What remains is basis risk: a mid-cap portfolio does not move exactly with the index, so the hedge is imperfect, and the fund needs margin cash and a derivatives mandate in its scheme document, to be confirmed.

Selling in a hurry against hedging first and selling slowly: cost to those who stayRushed sellingsell stocks over a few daysimpact 3.90slippage 4.50Rs 8.4 crore, 26 bpFutures bridgesell futures on day one, stocks over 15 daysimpact 1.35futures 0.45Rs 1.8 crore, 6 bp2468Rs croreAgainst the Rs 1212 crore the market fall itself cost, both are small. The difference is who pays: all of it falls on investors who stay.
Hedging with futures on day one and selling the stocks over fifteen days cuts the cost borne by remaining investors from about Rs 8.4 crore to about Rs 1.8 crore, 26 to 6 basis points, because the slippage goes and the impact falls.
Step 4What else should the fund change?

Three things, before the next fall. First, hold the cash buffer in futures rather than idle: 3% cash with 3% of index futures on top keeps the fund fully exposed in normal times and gives it a hedge it can lift, rather than add, in a stress. Second, know the exit time of every holding: a fund that reports days-to-liquidate by tier will size the least liquid names so that a 12% outflow never reaches them. Third, look at the mechanisms that make leavers pay their own costs: exit loads inside a holding period, and swing pricing, which adjusts the NAV paid to leavers on heavy outflow days; swing pricing in India has been introduced for some debt schemes, so confirm whether and how it applies to an equity fund. The limit of this analysis: the impact and slippage figures are assumptions, and the honest comparison is with the Rs 1212 crore the market fall itself cost, which dwarfs them. The point is not the size but the direction: every rupee of it moved from the investors who stayed to the investors who left.

Where candidates lose it

Candidates compute the cash shortfall and stop, or describe forced selling in words without a number. The interviewer gave the tiers and the impact rates so that you would size the cost and, above all, say who bears it.

The second miss is proposing futures as a way to avoid selling at all. The fund still has to raise Rs 450 crore; the futures only separate the timing of the hedge from the timing of the sales, which is where the saving comes from.

What the interviewer asks next

  • The fund sells only its liquid third to meet the outflow. What does the portfolio look like afterwards, and what happens if another 10% leaves?
  • Why does the regulator limit how much cash and derivatives an equity fund can hold, and how would that constrain the bridge?
  • How would swing pricing have changed who paid the Rs 8 crore?
  • What would you report to the trustees after this month, and what limit would you propose?
← Case 098Formulate the portfolio optimisation for a 40-stock fund: maximise expected return minus a risk penalty, with no stock above 10%, no sector above 30% and one-way turnover under 15% a month. Solve a four-stock version by hand and show which constraint binds.Case 100 →A fund house's market share fell from 3.1% to 2.4% in three years while the industry grew. Its flagship slipped to the third quartile and its bank distribution partner moved to a rival. Diagnose the decline consulting-style and prioritise three fixes.

Company names and figures are illustrative.

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