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Portfolio Management · CoreTrack
1Portfolio Construction & Investment Management
iPortfolio Management Foundations
Portfolio ManagementActive and Passive ManagementPortfolio Management ServiceA Model Portfolio Is…How Behavioural Biases Reach…
iiMandate and Investment Policy
The Investment Policy Statement…Writing an Investment Policy…How to Write a…The Investment ObjectiveWhat an Investment Mandate…Building an Investment Committee…How Legal and Regulatory…Liquidity RequirementsTax Constraints in a MandateUnique CircumstancesDiscretionary and Advisory Mandates
iiiRisk, Return and Diversification
Sharpe, Sortino, Treynor and…Portfolio Return and RiskRisk Adjusted Return RatiosCapital Market Expectations and…Risk AversionMarket Risk, Liquidity Risk…Mean-Variance Analysis and Its…The Utility FunctionThe Efficient FrontierSystematic and Unsystematic Risk,…Risk Tolerance vs Risk CapacityHow to Set a…
ivAsset Allocation and Construction
Strategic Asset AllocationEqual, Market Cap and…Asset Classes and How…Portfolio OptimisationRisk ContributionResampled EfficiencyRisk ParityAllocation DimensionsLiability-Driven InvestingTactical Asset AllocationStrategic vs Tactical Asset AllocationRebalancing vs Tactical AllocationDynamic Asset AllocationHow to Build a…
vSecurity Selection and Implementation
Security SelectionTrading CostsHedging a PortfolioThe Factor ModelFactor Investing vs Fundamental…The Currency HedgeValue, Momentum, Quality, Size…The Style BoxStyle Drift
viRisk Monitoring and Performance Evaluation
Performance AttributionStrategic, Custom and Peer BenchmarksMaximum DrawdownMaximum Drawdown CalculatorCalendar, Threshold and Cash…Compliance MonitoringPerformance AppraisalHow to Measure Portfolio…Active ShareUp Capture and Down CaptureThe CompositeAlphaJensen Alpha CalculatorPortfolio Weighted AveragesHow to Monitor Portfolio…How to Evaluate the…
viiPortfolio Vehicles and India Governance
The Model PortfolioPortfolio Risk and AttributionConcentrated vs Diversified PortfolioPortfolio Turnover vs Transaction CostHow to Select a…How to Construct a…How to Size a…How to Create a…The Separately Managed AccountThe Specialised Investment FundMutual Fund vs PMS vs AIF vs SIFHow Investment Committees Govern…ETFs in a PortfolioMutual Fund vs ETFIndex Funds in a PortfolioIndex Fund vs ETF
viiiProfessional Practice and Overlays
StewardshipThe Derivatives OverlayESG IntegrationProxy Voting

How Legal and Regulatory Constraints Bind a Portfolio

A legal or regulatory constraint is a limit the holder did not choose and cannot waive. The limit sits in the same document as the chosen constraints, and wherever the two cover the same quantity the tighter one binds. Its defining property is that it can change without anybody connected to the portfolio doing anything. A portfolio can go non-compliant with no trade and no price move.

Every other kind of limit in a policy statement was put there by somebody in the room, and the same room can take it away. An imposed limit cannot be taken away by that room, and three consequences follow. A portfolio can go offside overnight. A committee can vote unanimously and change nothing. A limit that has never mattered can become the only limit that matters, with no decision taken anywhere near the portfolio.

The running example is the Anantara Multi-Asset Portfolio, an invented discretionary mandate of Rs 500 crore run by Faiz Ahmad Ansari for an invented charitable endowment whose investment committee is chaired by Rukmini Deshpande. Its stated shape, drawn below, is equity 60.0 per cent, fixed income 30.0 per cent and cash 10.0 per cent, summing to Rs 500 crore exactly. Actual weights drift away from that shape between one rebalancing and the next.

The portfolio every figure in this guide is measured against. Rs 500 crore at the policy weights the committee chose in advance. EQUITY FIXED INCOME Rs 300 crore, 60.0 per cent Rs 150 crore, 30.0 per cent Cash 10.0 per cent, Rs 50 crore The three parts sum to Rs 500 crore exactly, which is the base for every weight below. Invented mandate. Actual weights drift between one rebalancing and the next.
Every per cent below divides by this total, so the total settles before any share does.

Every threshold, period, rate, category and registration condition belongs to the published texts of the authorities. Every outside limit below is written as x per cent. A specific limit can be moved by the authority that set it, and a text quoting the old figure gives no sign that it has moved. The requirements that apply to a real arrangement are published by the Securities and Exchange Board of India (SEBI) at sebi.gov.in and by the Pension Fund Regulatory and Development Authority (PFRDA) at pfrda.org.in, and are read there on the day they are needed.

What makes a line in a policy statement legal or regulatory?

Not what it restricts. Two lines can restrict the identical quantity, in the identical words, against the identical denominator, and one is a chosen line while the other is not. The dividing property is whether the line came from inside the room or from outside it. A legal constraintA limit on a portfolio that comes from law rather than from any agreement the holder signed, so nobody in the room can set it aside. comes from law; a regulatory constraintA limit set by an authority that supervises the arrangement. The authority changes it, not the holder and not the manager. comes from an authority that supervises the arrangement. Neither was negotiated with the holder, and neither can be negotiated away.

The everyday version: a household renting a flat writes its own house rules, and can rewrite them over dinner. The lease is different. The landlord and the law behind the lease decide what it says, and no agreement across the dinner table moves a clause in it. Both sets govern the same flat and the same people. Only one responds to the people living there.

A line is sorted by where it came from, never by what it restricts. INSIDE THE ROOM The committee writes it and can rewrite it OUTSIDE THE ROOM An authority publishes it and only it can move it ONE POLICY STATEMENT Both kinds of line look the same on it Anantara Multi-Asset Portfolio, invented. No requirement is stated on this platform.
Two different sources feed one document, and the reader cannot tell them apart from the wording alone.

The trap is that sameness. Read cold, a policy statement shows every line looking the same, and nothing in the typography signals that a committee vote can move one of them and cannot move the next. A document that does not mark which lines are chosen and which are imposed has hidden the property that decides whether any of them can be changed.

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Who can move the line, and how fast?

The differences fall out of that single property. A chosen limitA line the holder or the committee wrote for itself. The same body can rewrite it in writing on a stated date. is changed by the body that wrote it, through an act with a form: a resolution, a date, a note of who was in the room. An imposed limitA line in the policy statement that came from outside the room, so no vote inside the room can move it. is reached by no vote at all, and the date it changes is a date somebody else picks.

Both kinds live in the same policy statement, and a statement that does not mark which is which invites a committee to waive something it cannot waive. The document gives them no signal, so the failure happens to careful people. The full case is set out under the error that gets made.

One property differs, and the other three follow from it. A CHOSEN LIMIT AN IMPOSED LIMIT WHO MOVES IT The body that wrote it WHO MOVES IT Somebody outside the room BY WHAT ACT A resolution, in writing, dated BY WHAT ACT A published change the holder reads ON WHOSE TIMETABLE The holder picks the date ON WHOSE TIMETABLE A date the holder learns of IS A WAIVER POSSIBLE Yes, by the body that set it IS A WAIVER POSSIBLE No, and none exists to grant Illustrative. What any authority requires of any arrangement is set out in its published text.
The right hand column loses the waiver, and every other difference follows from who holds the pen.

The Anantara mandate carries five stated lines, drawn below, and all five are that committee's own choices: the equity range, the single holding cap, the exclusion of unlisted holdings, a minimum credit standing written as policy rather than as a rating symbol, and the 60 by 30 by 10 shape those weights sit inside. Every one of them was written by Rukmini Deshpande's committee and could be rewritten by it.

Not one of the five is an imposed limit, so the imposed column of the record stands empty. The imposed limit stays a variable called x per cent, and everything below is worked as a function of x. Working across the whole range shows the shape of the arithmetic instead of one convenient point.

Every line in this invented mandate is a choice. Nothing was imposed. THE FIVE STATED LINES, ALL CHOSEN THE IMPOSED COLUMN Equity 50 to 70 per cent, Rs 250 to Rs 350 crore No single holding above 5 per cent, Rs 25 crore No unlisted holdings A minimum credit standing, written as policy Policy weights 60, 30 and 10 per cent NOT SUPPLIED The record locks no outside limit, and this guide will not invent one. It stays x per cent. Where a figure cannot be known, the honest entry is the absence, drawn as an entry. Constructed illustration. The mandate and its five lines are invented for teaching.
Marking every line at drafting time is cheap, and the empty column is a finding rather than a gap.
Try it out

The investment committee meets, discusses a position sitting close to a limit that was imposed from outside, and votes unanimously to waive that limit for one quarter. The waiver is minuted properly. What changed?

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How legal and regulatory constraints affect portfolios, and which of the three cases applies?

Take any single quantity a policy statement limits: the share of the portfolio in one holding, in one asset class, in anything at all. Ask what an outside limit does to that quantity. There are exactly three answers, and they exhaust the possibilities.

The first case is that the imposed limit is tighter than the chosen one. The chosen line is then decorative: still written, still read out, still reported on, and never breachable. A position would have to pass the outside line first. The committee's judgement about that quantity has been overtaken and the document does not say so.

The second case is that the imposed limit is looser. The chosen line is then doing all the work: every breach on that quantity is a breach of the committee's own choice, every waiver conversation is one the committee is entitled to have, and the outside limit sits behind it, untouched and untouchable.

The third case is that the imposed limit addresses a quantity the chosen constraints never mentioned. The imposed limit overtakes nothing. It adds a line the portfolio must now satisfy, and the document has to grow a row it did not previously have. A committee has to know which of the three cases it is in for every quantity its document limits, and most have never sorted their document that way.

Three cases for any one quantity, and there is no fourth. Dark bar is the line that binds. Pale bar is the line that cannot be reached. CASE ONE: TIGHTER IMPOSED, LOWER CHOSEN, HIGHER The chosen line is decorative from now on CASE TWO: LOOSER IMPOSED, HIGHER CHOSEN, LOWER The chosen line does all of the work CASE THREE: NEW No chosen line here IMPOSED, ALONE A row the document did not previously have Sorting a document this way costs one afternoon and is almost never done. Schematic. No outside limit is stated, quantified or implied anywhere in this drawing.
Sorting each limited quantity into one of three cases tells a committee where its judgement still matters.

Case one costs something easy to miss. The committee has not lost anything it wanted; it has lost the ability to know, from its own document, whether a line it wrote still governs anything. The loss shows up at the next review, when somebody proposes loosening the chosen line and the room debates it without anybody realising the debate cannot change the outcome. A decorative line consumes real attention.

Two separate three-way splits run through this subject, and they are not alternatives. The three cases above sort a quantity by how the outside line relates to the chosen line. The three regions below sort it by where the outside line sits against the chosen cap and the portfolio's own largest holding. A sentence that borrows a term from one and a term from the other has said nothing.

Two three-way splits, side by side. A term from one never crosses into the other. SPLIT ONE: THE THREE CASES Asks how the outside line relates to the chosen line. Tighter, looser, or a new quantity. SPLIT TWO: THE THREE REGIONS Asks where the outside line sits against two specific numbers. Above 5, between, or below 4.6. Both are three-way and both are correct. Neither is the other one restated. The per cent figures are the invented mandate's own. No outside limit is stated.
Two correct splits of the same subject invite a mixed sentence, so each one names its own question.
Try it out

An outside limit turns up covering a quantity the mandate had never limited at all, so there is no chosen line anywhere in the document to compare it against. Which of the three cases is that?

Which line is the manager actually checking?

The lower one, and everything operational follows from that. Where two limits cover the same quantity, the one currently lower is the binding lineWhere two limits cover the same quantity, the one that is currently lower. A position runs into it first.. A position runs into the lower one first. The other limit is an inert limitA limit that is not currently the lower of the two, so nothing can breach it until it becomes the lower one.: not deleted, simply out of reach while the lower line stands in front of it.

Put the Anantara numbers on a scale. The chosen cap is 5 per cent of the portfolio, or Rs 25,00,00,000/- on Rs 500 crore, and the largest holding in the equity sleeve is 4.6 per cent, or Rs 23,00,00,000/-. Both are measured against the portfolio, not against the Rs 300 crore equity sleeve. Stating the base every time is not pedantry: the same holding against the sleeve is 7.7 per cent, and a reader handed 7.7 without its base has been told the portfolio is twice as concentrated as it is.

The chosen cap and the largest holding, on one rupee scale. Both figures are measured against the Rs 500 crore portfolio, never against the sleeve. LARGEST HOLDING, Rs 23 crore, 4.6 per cent CHOSEN CAP, Rs 25 crore Rs 0 Rs 10 crore Rs 20 crore Rs 30 crore The headroom is Rs 2 crore, being Rs 2,00,00,000/-, and it is the only thing standing between this holding and a breach of the committee's own line. Invented mandate, illustrative figures, one stated twelve month period.
Converting both limits into rupees makes the headroom visible as a quantity rather than a feeling.

Now introduce an outside limit on the same quantity and call it x per cent of the portfolio. The letter x is a variable and stands for no requirement anywhere. Slide it up and down and the picture sorts into three regions whose boundaries are 5.0 per cent, where the chosen cap sits, and 4.6 per cent, where this portfolio's own largest holding sits.

Where x sits decides which line binds, and whether anything is wrong. The scale runs from 3.0 to 7.0 per cent of the portfolio. x is a variable, not a requirement. IMPOSED BINDS ALREADY OFFSIDE x below 4.6 per cent CHOSEN CAP BINDS x above 5.0 per cent 4.6 per cent, the largest holding 5.0 per cent, the chosen cap The middle region is narrow here only because this portfolio happens to run close to its cap. A holding at 3.0 per cent would widen it to two full points. Constructed from the invented mandate. No outside limit is stated at any value of x.
The two boundaries are the chosen cap and the portfolio's own largest holding, not anything a rule says.

The crossover into non-compliance sits at 4.6 per cent, the portfolio's own largest holding. The crossover is a property of the position rather than of any rule. Two mandates with identical documents and different holdings have different crossovers, and the same mandate has a different crossover in March than in January because the largest holding moved. So a compliance question cannot be answered from the document alone, and a committee that reviews its policy statement once a year and its positions once a quarter is looking at the wrong thing on the wrong cycle.

Read the three regions one at a time. Region one is any x above 5.0 per cent: the chosen cap of Rs 25 crore is the lower line, so it binds and the manager checks Rs 25,00,00,000/-. The outside line is written down and reported, and nothing can reach it.

Region one: x above 5.0 per cent. Worked at x equal to 6.0. IMPOSED, Rs 30 crore, INERT HOLDING Rs 23 crore CHOSEN CAP Rs 25 crore, BINDING Inside the binding line with Rs 2,00,00,000/- of headroom. The committee's own cap governs. x is a variable chosen to make the region visible. It states no requirement.
With the outside line above the cap, the committee's own judgement is still what governs the position.

Region two is any x between 4.6 and 5.0 per cent, where the outside line is the lower one, so it binds and the chosen cap goes inert. At 4.8 per cent the binding line is Rs 24,00,00,000/- and the Rs 23 crore holding is inside it, with Rs 1 crore of headroom instead of Rs 2 crore. Nothing has been breached and nothing needs to be traded, yet the committee's cap has stopped governing anything without a word of the document changing.

Region two: x between 4.6 and 5.0. Worked at x equal to 4.8. IMPOSED, Rs 24 crore, BINDING HOLDING Rs 23 crore CHOSEN CAP Rs 25 crore, NOW INERT Still compliant, with headroom of Rs 1,00,00,000/- rather than Rs 2,00,00,000/-. Worked at an arbitrary value of x. No authority is quoted and none is implied.
The cap goes inert without being deleted, and the portfolio stays inside a tighter line than before.

Region three is any x below 4.6 per cent, where the outside line has passed under the largest holding and the portfolio is offside on the day the change takes effect. No trade was placed, no price moved, and the holding is the same holding it was the day before. Worked at an arbitrary 4.0 per cent, the binding line is Rs 20 crore and the report shows the holding Rs 3 crore over it.

Region three: x below 4.6. Worked at an arbitrary x equal to 4.0. IMPOSED, Rs 20 crore, BINDING HOLDING Rs 23 crore OVER BY Rs 3 crore CHOSEN CAP Rs 25 crore, UNREACHABLE Offside with no trade and no price move. The sale needed is larger than Rs 3 crore. The 4.0 per cent is arbitrary, invented for legibility, and states no requirement.
The overshoot the report prints is the gap, and the trade that clears it is a different figure.
Try it out

A mandate caps a single holding at 5 per cent of the portfolio, and a limit imposed from outside covers the same quantity at a different level. Which one does the manager check before placing a trade?

Play with it

The binding line finder

Two limits cover one quantity. The chosen cap never moves: 5.00 per cent of the portfolio, Rs 25 crore. The largest holding never moves either: 4.60 per cent, Rs 23 crore. Only the imposed limit moves, and it is a variable called x, not a requirement. Watch which line goes solid, and watch the column change state the moment both lines fall beneath it.

x = 1.00 per centx = 6.00 per centx = 10.00 per cent
Two limits, one quantity. The lower line is the one that binds. 0 per cent 2 per cent 4 per cent 6 per cent 8 per cent 10 per cent CHOSEN CAP 5.00 per cent IMPOSED x = 6.00 per cent THE LARGEST HOLDING 4.60 per cent Rs 23 crore The moving line is a variable, not a rule. Invented portfolio, illustrative figures.
Binding line
5.00 per cent
Binding line in rupees
Rs 25.000 crore
Gap the report prints
None
Sale to comply
None

At an imposed limit of 6.00 per cent the chosen cap is the lower of the two, so the binding line is Rs 25,00,00,000/-, and the largest holding of Rs 23,00,00,000/- sits inside it with Rs 2,00,00,000/- to spare.

Educational illustration. The moving line is a variable, not a rule, and the value on the control corresponds to no requirement anywhere. The Anantara Multi-Asset Portfolio, its Rs 500 crore size and its chosen 5 per cent cap carry teaching figures only. The requirements that apply to a real arrangement are published by SEBI at sebi.gov.in and by PFRDA at pfrda.org.in, and are read there on the day they are needed. The red block on the column is the gap the report prints, and the sale required to clear it is a larger figure, worked out below.
Try it out

The imposed limit sits at 4.8 per cent of the portfolio and the largest holding is 4.6 per cent, against a chosen cap of 5 per cent. Which line binds, and is the portfolio inside it?

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Why does an inert limit still get reported?

Because inert is a temporary condition, and nothing announces the end of it. The chosen cap of Rs 25 crore in region two is standing behind a lower line, and if that lower line moves back above 5 per cent the cap binds again instantly, with nobody in the room deciding anything. The moment the binding line moves, the inert one becomes the constraint, so a limit that is not currently binding is still carried in the report.

Monitoring goes quietly wrong at exactly this point. A pack showing only the active constraint is easier to read, and it throws away what is needed when the outside line moves: what stands behind it, and how much room that leaves. A committee reading a clean pack in March cannot know that a change in April promotes a limit it has not thought about since drafting.

Four steps, and a decision is taken at none of them. STEP ONE STEP TWO STEP THREE STEP FOUR The imposed line is lower, so the cap goes inert The pack drops the inert line to look cleaner The imposed line moves back above the chosen cap The cap binds again, and it is not in the pack The tidying at step two is what makes step four dangerous, and it was done to help. Schematic sequence. No requirement, level or timing is stated or implied.
Dropping an inert limit from the pack is the step that makes the promotion invisible later.

The fix costs nothing. The pack carries every limit that covers the quantity, marks which one binds today, and shows the distance to each. Three columns instead of one, and the report answers the next question before it is asked.

One quantity, both limits, and the distance to each of them. THE LINE IN RUPEES DISTANCE STATUS TODAY Chosen cap, 5.00 per cent Rs 25 crore Rs 2 crore INERT Imposed line, x per cent NOT SUPPLIED NOT SUPPLIED BINDING Largest holding today Rs 23 crore 4.60 per cent MEASURED The second row stays empty on this platform, on purpose. A real pack fills it from the published text on the day the pack is built, and dates the entry. Constructed report row. Distances are computed from the invented Rs 500 crore portfolio.
Carrying both limits with their distances turns a status report into an early warning.

How can a portfolio become non-compliant while sitting perfectly still?

Every other constraint on a portfolio is crossed by something the portfolio did or the market did to it, so the portfolio's own numbers changed and a pack watching them could have seen it coming. An imposed limit can be crossed by an event with no market in it at all. The portfolio's own numbers give no warning, and that missing warning makes it the harder operational problem. The holding did not grow. The total did not move. The line came down and passed underneath a position that had not so much as twitched.

Two ways to end up outside a line. Only one gives warning. THE POSITION MOVED THE LINE MOVED Before: inside After: a price rose Before: inside After: nothing traded The bar grew. The pack saw it growing. The bar is identical. Only the line moved. Schematic. Bar lengths are illustrative and no level, date or requirement is stated.
A moving line and a moving position both produce a breach, and one of them is invisible in advance.

The household version is easy to feel. A rented flat, where the lease sets what may be kept on the balcony. Nothing new went onto it this month, but the clause changed, on a date, in a document the tenant did not draft, and what has been sitting there for two years is not permitted. The tenant did nothing. The tenant is nonetheless in breach, and the first word of it is a letter.

The same portfolio, on three consecutive days, with no trade placed. COMPLIANT EFFECTIVE DATE OFFSIDE Holding Rs 23 crore The line comes down Holding Rs 23 crore Identical position, identical total, identical prices. The status changed anyway. Illustrative timeline. No date, notice period or requirement is stated anywhere on it.
Three consecutive days with an identical portfolio, and only the status column changes.

So the operational answer to an imposed limit is never a limit monitor alone. A limit monitor watches the portfolio, and the limit moved instead. The change shows up in one place only, so somebody has to read the published text on a stated cycle and record the date they read it.

Try it out

No trade was placed. No price moved. The holding is the same size in rupees that it was yesterday, in a portfolio of the same total. This morning the portfolio is offside. How?

Try it out

A holding of Rs 23 crore has to come down to 4 per cent of a Rs 500 crore portfolio, and the proceeds of the sale stay in the portfolio as cash. Is the sale more or less than Rs 3 crore?

What does the return-to-compliance trade actually cost?

More than the report says, and the direction of the error is what almost everybody gets wrong. Stay in region three at the arbitrary x of 4.0 per cent. The holding is Rs 23 crore, the line is Rs 20 crore, so the pack prints a gap of Rs 3 crore and the obvious move is to sell Rs 3 crore. Return to complianceThe set of trades that brings a position back inside a limit it is currently outside. looks like a subtraction.

The proceeds do not leave, so the correction is not a subtraction. Sell Rs 3 crore inside a discretionary mandate and the cash lands in the same portfolio: the holding falls to Rs 20 crore and the total falls to Rs 497 crore, and 20 divided by 497 is 4.024 per cent. The denominator did not stay where the report left it, so selling the gap leaves the portfolio still offside.

Solve it properly instead. Let s be the amount sold. The holding after the sale must equal the limit share of the total after the sale, so Rs 23 crore less s equals 4 per cent of Rs 500 crore less s. The equation gives 23 less s equals 20 less 0.04s, so 3 equals 0.96 times s, so s is Rs 3.125 crore, being Rs 3,12,50,000/-. The holding lands at Rs 19.875 crore on a total of Rs 496.875 crore, and 19.875 divided by 496.875 is exactly 4.0 per cent.

The gap on the report and the trade that actually clears it. Worked at an arbitrary imposed limit of 4.0 per cent on the invented Rs 500 crore portfolio. THE GAP SHOWN THE SALE NEEDED STILL LEFT OVER Rs 3,00,00,000/- Rs 3,12,50,000/- Rs 12,50,000/- Sell the gap and the holding sits at 4.024 per cent of a smaller total, still outside. The third bar is the second trade that nobody budgeted for. All three figures computed from the invented mandate. The 4.0 per cent is arbitrary.
The trade that clears the breach is larger than the gap the report prints, not smaller.
Solving for the sale, rather than subtracting the gap. Both quantities fall as s grows, which is why they meet later than the gap suggests. THE HOLDING, Rs 23 crore less s THE LINE, 4.0 per cent of the reduced total Rs 19.875 crore Rs 23 cr Rs 20 cr Rs 19 cr 0 1 2 3 4 they meet at s = Rs 3.125 crore Horizontal axis: s, the amount sold, in Rs crore. Sell Rs 3 crore and the lines have not met. Computed from the invented portfolio at an arbitrary limit of 4.0 per cent.
Two falling quantities meet later than a subtraction predicts, which is the whole of the error.
Three states, and only the third one is inside the line. THE STATE HOLDING TOTAL SHARE STATUS Before the change Rs 23 crore Rs 500 crore 4.600 OFFSIDE After selling the gap Rs 20 crore Rs 497 crore 4.024 OFFSIDE After solving for s Rs 19.875 crore Rs 496.875 crore 4.000 INSIDE Share is the holding divided by the total on the same line, never by the total before the sale. The middle row is what a subtraction produces, and it needs a second trade. Computed from the invented mandate at an arbitrary imposed limit of 4.0 per cent.
Only the row that recomputes the denominator lands the share exactly on the line.

A check is available. Sell the gap of Rs 3 crore, land at 4.024 per cent, and solve again on the new numbers: the second sale is 20 less 19.88, divided by 0.96, or Rs 12,50,000/-, and the two trades add to Rs 3,12,50,000/- exactly. The arithmetic is not punishing the first mistake, it is charging two sets of costs to reach a point one trade would have reached.

Two trades that land where one trade would have. FIRST TRADE Sell the printed gap Rs 3,00,00,000/- STILL OUTSIDE 4.024 per cent of the reduced Rs 497 crore SECOND TRADE Rs 12,50,000/- and now inside Rs 3,00,00,000/- plus Rs 12,50,000/- is Rs 3,12,50,000/-, which is the single solved trade. The difference is not the size of the sale. It is one extra ticket and everything it costs. Invented portfolio, arbitrary limit, figures computed rather than quoted.
Two tickets reach the same position as one, and the second ticket was avoidable arithmetic.

The shape applies to any limit written as a share of a total the sale itself reduces: the sale is the gap divided by one less the limit share. Divide by 0.96 at a limit share of 4 per cent and the sale runs about four per cent above the gap. The higher the limit share, the further above the printed gap the true trade sits.

Divide the gap by one less the limit share, and read the multiple. LIMIT SHARE THE DIVISOR SALE AS A MULTIPLE OF THE GAP 1 per cent 0.99 1.0101 2 per cent 0.98 1.0204 3 per cent 0.97 1.0309 4 per cent 0.96 1.0417 The highlighted row is the one worked above: Rs 3 crore times 1.0417 is Rs 3.125 crore. Each multiple computed as one divided by one less the share. No share here is a requirement.
The multiple grows as the limit share grows, so a looser line widens the proportional error a subtraction makes.
The sale required, across every imposed limit that puts this portfolio outside. Each point is solved, not read off. The curve is very slightly bowed, never a straight line. Rs 0 Rs 5 cr Rs 10 cr Rs 15 cr 1.0 2.0 3.0 4.0 4.6 The marked point is x = 4.0 per cent, where the sale is Rs 3,12,50,000/-. Horizontal axis: the imposed limit x, in per cent of the portfolio. The sale reaches zero exactly at 4.6 per cent, which is the largest holding and nothing else. Thirty seven solved points on the invented portfolio. No value of x states a requirement.
The required sale falls to zero exactly where the limit meets the portfolio's own largest holding.
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Which of the mandate's own lines could an outside limit even touch?

Run the three-region reading across every line the Anantara mandate carries and they are not all equally exposed. Some limit a quantity an outside limit could plausibly address, so the whole binding-line apparatus applies to them. Others are of a shape no outside limit can make decorative.

The mandate's own lineIn rupeesCould an outside limit bind here?
Equity between 50 and 70 per centRs 250 to Rs 350 croreYes, a quantity an outside limit can address
No single holding above 5 per centRs 25 croreYes, and it is the line worked above
A minimum credit standing, as policyNot a rupee figureYes, if the outside line covers the same standing
No unlisted holdingsRs 0 permittedNo, because permitting is not requiring
Policy weights 60, 30 and 10Rs 300, 150 and 50 croreOnly through the ranges they sit inside

Start with the equity range. The mandate permits equity between 50 and 70 per cent, or Rs 250 crore to Rs 350 crore on Rs 500 crore, with the policy weight at Rs 300 crore inside it. An outside ceiling on equity sorts into the same three regions: inert above 70 per cent, binding between the current equity holding and 70 per cent, and offside below the current equity holding with nothing traded.

The equity range in rupees, with the policy weight sitting inside it. Scale runs from Rs 200 crore to Rs 400 crore of the invented Rs 500 crore portfolio. EQUITY TODAY, Rs 300 crore Below the range PERMITTED Above the range Rs 250 crore, 50 per cent Rs 350 crore, 70 per cent An outside ceiling on equity sorts into the same three regions, with Rs 300 crore taking the place that Rs 23 crore took in the single holding version. Invented mandate. The range is the committee's own choice and no outside line is stated.
The same three regions appear on the equity range, with the current holding setting the crossover again.

Now the line that behaves differently. The endowment's committee decided to hold nothing unlisted. Suppose an outside limit turned up covering unlisted holdings: whatever it says, it permits some amount, and permitting is not requiring. An outside line that permits something obliges nobody to hold it, so a chosen exclusion survives whatever the outside line allows, and no imposed limit can make a zero decorative.

A ceiling above zero cannot push a chosen zero upwards. THE OUTSIDE LINE Permits some amount of a thing, at some level THE CHOSEN LINE Holds none of it, and is still the binding line permits Zero is the lower of any two numbers where the other one is above zero, so the exclusion binds by the same rule that governs every other pair of limits. Schematic. No outside line is stated, quantified or attributed to any authority.
A chosen zero is always the lower line, so an exclusion cannot be made decorative from outside.

One more thing decides whether any of this arithmetic is comparable: the denominator. Every figure here is measured against the Rs 500 crore portfolio because the chosen cap is written against the portfolio. An outside line written against a different base is not a tighter or looser version of the same line; it is a line about a different quantity, and the two cannot be compared until both are in rupees.

One holding of Rs 23 crore, two bases, two very different numbers. Neither figure is wrong. They answer different questions and must never be swapped. 4.6 per cent of the Rs 500 crore portfolio 7.7 per cent of the sleeve A cap of 5 per cent written against the sleeve would be Rs 15 crore, and this same holding would sit Rs 8 crore outside it while breaching nothing written against the whole. Invented sleeve of Rs 300 crore inside an invented Rs 500 crore portfolio.
The same holding is 4.6 or 7.7 per cent depending on the base, so every limit must name its own.

The error that gets made, and what it costs

An investment committee reads its policy statement and sees a 5 per cent single holding cap. Every line in the document looks like every other line, so the committee treats all of them as things it may revisit at the next meeting. Two of the lines are the committee's own. A third was written into the document to reflect a requirement imposed from outside, and nothing in the document says so.

A position runs close to that line. The committee does what it has done before with a chosen line: it grants a waiverA written decision by the body that set a limit to allow a position outside it, usually for a stated period. for one quarter, records the reasoning, notes the review date and moves on. The process is followed properly. The minute is well drafted. Nobody has been careless.

Nobody in the room holds any authority over the imposed limit, so the waiver has no effect on it at all. The portfolio spends a quarter in non-complianceThe state of a portfolio whose position sits outside a limit that applies to it, whether or not anybody meant it to. with a written record showing the committee believed otherwise. The minute now documents an intention to operate outside a limit the committee did not know it could not move, and that record costs more than the breach.

The fix is not a better waiver process. The fix is a mark. Every line in the document is marked chosen or imposed at the moment it is written, and no waiver form exists at all for a line marked imposed. A committee cannot accidentally waive something the paperwork has no space to waive.

A waiver against an imposed line moves exactly one thing. WHAT IT CHANGED WHAT IT DID NOT CHANGE The minute and nothing else at all The limit, the position, the breach, the exposure The left column is not empty, which is the problem: a record now exists saying the committee decided to sit outside a line it had no power to move. Illustrative failure on an invented committee. No requirement is described or quoted.
The waiver leaves the breach untouched and creates a written record of an intention nobody could form.
An outside limit reaches some mandate lines and not others. See which ones bind.

How does a committee use this in a room, on a Tuesday?

Three artefacts, none of them exotic. The first is a marked document: every line in the policy statement carries a chosen or imposed mark, put there when the line was drafted rather than reconstructed afterwards. Reconstruction is where the errors come from. Whoever reconstructs is guessing at the intent of a drafter who left the organisation two years ago.

The mark goes on at drafting time, never afterwards. THE LINE AS DRAFTED MARK WAIVER FORM Equity between 50 and 70 per cent CHOSEN Exists, and is used No single holding above 5 per cent CHOSEN Exists, and is used Any line carrying the other mark IMPOSED None exists at all A committee cannot accidentally waive a line the paperwork gives it no space to waive. Constructed artefact on the invented mandate. The two chosen lines are its own.
Removing the waiver box from imposed lines makes the failure impossible rather than merely discouraged.

The second is a constraint sheet carrying both limits for every quantity the document limits, in rupees, with the distance to each and a mark saying which one binds today. A breach is a fact about the whole and cannot be found by reading positions one at a time, so Rukmini Deshpande's committee reads that sheet before the holdings list. Faiz Ahmad Ansari works from the same sheet. The binding line governs whether a trade may be placed at all.

The third is a reading log: who read the published text, on what date, and what they found. The change a log catches never appears in any portfolio number, so the log is the only defence against the waiver failure. A monitoring process that watches only the portfolio is blind to exactly the kind of constraint that can breach it without warning.

The log that catches a change no portfolio number can show. WHO READ IT WHAT WAS READ DATE READ WHAT MOVED A named reader The published text NOT SUPPLIED NOT SUPPLIED The next reader The same text again NOT SUPPLIED NOT SUPPLIED The invented record contains no reading log and no dates, so both columns stay empty here. In a live process they are the two columns that matter most. Constructed illustration. No date, reader or published document is named.
The two empty columns are the ones a real process fills, one date and one finding at a time.

A household with a home loan needs the same mark in miniature: its own budget rules on one list, the loan conditions it did not write on another. The budget rules can be argued about on a Sunday; the loan conditions cannot, and finding out what they currently say means reading the lender's document rather than remembering what somebody said at signing.

Where does a reader find what actually applies to their own mandate?

In the published text, on the day it is read, and nowhere else. A requirement is a moving object: it has a version, an effective date and a publisher, and the publisher is the only party who can say what it currently says. Everything downstream of the publisher is a copy of a copy with a timestamp somebody forgot to write down.

Four publishers matter here, two supervising authorities and two market bodies. A limit quoted from anywhere other than the current published text may already have moved, and nothing in the quotation reveals that it has.

What this guide holds, and where every requirement is sent instead. THIS GUIDE The arithmetic of a binding line, and how a portfolio meets one NOT ONE THRESHOLD THE AUTHORITIES sebi.gov.in and pfrda.org.in THE MARKET BODIES amfiindia.com and nseindia.com routes to routes to The arithmetic on the left cannot be made wrong by a change on the right, which is the entire reason the split was drawn this way. Routing map. No document, requirement, level or date is named inside either right hand box.
Splitting the mechanism from the figure keeps the mechanism correct however often the figure moves.

Client type changes the reading without changing the mechanism. An institutional holder and a private one are not covered by the same body of text, and which body applies is settled in the published texts themselves. The binding-line arithmetic, the three regions, the crossover at the largest holding and the return-to-compliance solve are arithmetic, so they are identical in both settings. Only the text to be read is different.

Same arithmetic, different reading list. IDENTICAL FOR BOTH: THE MECHANISM Lower line binds, crossover at the largest holding, sale exceeds the gap AN INSTITUTIONAL HOLDER Applicable text: NOT SUPPLIED A PRIVATE HOLDER Applicable text: NOT SUPPLIED Both lower boxes are filled from the published text. Constructed illustration. Neither holder type is characterised, compared or ranked.
The mechanism carries across holder types while the applicable material does not, so only one box travels.
India

Where the requirements for a mandate are published

Requirements, thresholds, periods, rates, category definitions and registration conditions are set out in the published texts of the authorities. Every outside limit used above is the variable x, invented to make the arithmetic visible, and the value 4.0 per cent used in the worked trade was chosen for legibility alone.

For the arrangements each of them supervises, the applicable requirements are published by the Securities and Exchange Board of India at sebi.gov.in and by the Pension Fund Regulatory and Development Authority at pfrda.org.in. Index and market methodology is published by the market bodies, including the Association of Mutual Funds in India at amfiindia.com and the National Stock Exchange at nseindia.com. Anything relied on is confirmed at the source, on the date of reliance, and the date of reading is recorded. The mechanism set out above holds wherever the mandate is written and whatever the applicable figures turn out to be.

Try it out

A reader wants to know which limits actually apply to their own mandate, today. Where do they find out?

Try it out

The Anantara mandate holds nothing unlisted, by the committee's own choice. Could an outside limit covering unlisted holdings ever make that chosen line decorative?

What any authority requires, at any level, for any arrangement is set out in its published text, including every threshold, period, rate, category definition, registration condition and fee. Liquidity requirements, tax constraints and the constraints peculiar to one holder are each covered under their own subjects. The registration and conduct obligations of whoever runs a mandate are published by SEBI at sebi.gov.in and by PFRDA at pfrda.org.in. Rules attaching to pooled vehicles and to private structures are covered separately.

References

SourceDocumentWhere
Securities and Exchange Board of IndiaThe requirements applying to the arrangements it supervises, in its own published textsebi.gov.in
Pension Fund Regulatory and Development AuthorityThe requirements applying to a retirement mandate, in the published textpfrda.org.in
Association of Mutual Funds in IndiaMarket material on mutual funds, published by the industry bodyamfiindia.com
National Stock Exchange of IndiaIndex construction and market methodology, published by the exchangenseindia.com

The Anantara Multi-Asset Portfolio, the charitable endowment that holds it, Rukmini Deshpande and Faiz Ahmad Ansari are invented.
Educational material. Not advice on any investment, tax, budget or market position.

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