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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
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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

Security Selection: Choosing Inside a Fixed Sleeve

Security selection chooses which holdings fill a sleeve whose size was already fixed by the allocation. The Anantara Multi-Asset Portfolio's equity sleeve is Rs 300 crore of a Rs 500 crore mandate, so a point earned inside that sleeve reaches the portfolio as 0.60 points. Selection decides what sits in the box; it never decides how big the box is.

Most writing about choosing holdings starts with the holding. The room the holding must fit into was measured, argued over and signed off before anybody looked at a single name. The dimensions of that room put a hard ceiling on what any choice inside it can be worth. The ceiling is arithmetic, and arithmetic does not care how good the choosing was.

The worked object throughout 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 policy shape is equity 60.0 per cent at Rs 300 crore, fixed income 30.0 per cent at Rs 150 crore and cash 10.0 per cent at Rs 50 crore. Every figure belongs to one stated twelve month period, and one period is far too short to be evidence about what any approach achieves.

Where security selection is allowed to work. EQUITY SLEEVE 60.0 per cent of the portfolio Rs 300 crore FIXED INCOME SLEEVE 30.0 per cent Rs 150 crore CASH Cash sleeve 10.0 per cent, Rs 50 crore Security selection chooses what fills this Rs 300 crore. It cannot change how wide it is. The Anantara Multi-Asset Portfolio is invented. Figures illustrative.
The three sleeves sum to Rs 500 crore, and selection is confined to the width of one of them.

What is security selection, and what has already been decided before it starts?

Security selectionChoosing which individual holdings go into a portfolio, once it has already been decided how much money each asset class gets. is the act of deciding which individual holdings occupy a given pot of money. Selection is not the act of deciding how large that pot is. In the Anantara Multi-Asset Portfolio the pot is called the equity sleeveThe part of a portfolio set aside for one asset class. Saying sleeve keeps a share of that part from being read as a share of the whole portfolio., it holds Rs 300 crore, and by the time Faiz Ahmad Ansari looked at his first candidate name that Rs 300 crore was already a settled number written into the papers of the mandate.

Two earlier decisions had closed before selection opened. The mandate fixed the constraints: equity must sit between 50 and 70 per cent of the portfolio, no single holding may exceed 5 per cent of the portfolio, nothing unlisted, and the fixed income sleeve carries a stated minimum credit standing. The allocation then chose 60.0 per cent equity inside that band. The choice turned a range written in the papers into a single rupee number. The ceiling on what selection can contribute to the whole portfolio was therefore set by other people, at an earlier meeting, and it is arithmetic rather than a matter of opinion.

Think of a wedding caterer given a hall, a date and a budget of Rs 8,00,000/-. The caterer chooses every dish, and those choices decide whether the evening is remembered. The caterer cannot make the hall bigger or move the date. A brilliant menu inside a small hall feeds the number of people the hall holds. A free menu inside a fixed hall is the shape of every selection decision below.

What was settled before the first holding was looked at. ALREADY FIXED, EARLIER, ELSEWHERE Equity sleeve size: Rs 300 crore Fixed income sleeve: Rs 150 crore Cash sleeve: Rs 50 crore Cap on any one name: Rs 25 crore Equity band: 50 to 70 per cent STILL OPEN TO SELECTION Which holdings fill the sleeve How large each one is, up to the cap How many names the sleeve holds Nothing on the right can change anything on the left. Invented mandate. Figures illustrative.
Selection inherits five settled numbers and is free only in the three decisions on the right.

Why does the same holding have two different weights, and which base is right?

One rule holds up everything that follows: a weight is a share of something, and the something has to be named. The largest holding in the Anantara Multi-Asset Portfolio is Rs 23 crore. Against the Rs 500 crore portfolio that is 4.6 per cent. Against the Rs 300 crore equity sleeve the identical holding is 7.67 per cent. Neither number is a rounding of the other, and neither is wrong.

The reason is that a weight is a division, and a division needs a denominator. The baseThe total a share is measured against. Change the total and the same rupee amount becomes a different percentage, even though nothing about the holding has moved. is that denominator. Rs 23 crore over Rs 500 crore gives 4.6 per cent; Rs 23 crore over Rs 300 crore gives 7.67 per cent. Since the sleeve is smaller than the portfolio, a share of the sleeve is always the larger number, by exactly the factor 500 over 300. A weight quoted without its base is a fraction with the bottom half missing. Such a figure is not weak, it is unreadable.

Now the part that decides whether a rule has been broken. The single holding capA stated ceiling on how much of a portfolio any one holding may be. The ceiling is written against a named total, and the name matters as much as the number. in this mandate is written against the portfolio: no holding above 5 per cent of Rs 500 crore. Five per cent of Rs 500 crore is Rs 25 crore. The largest holding at Rs 23 crore is therefore inside it, with Rs 2 crore of room to spare. Read the 7.67 per cent figure against a 5 per cent cap and a breach seems to appear. The comparison sets a share of one thing beside a limit on another, and it answers nothing.

One holding of Rs 23 crore, measured against two different bases. Against the Rs 500 crore portfolio 4.6 per cent 0 10 per cent of the base named above the cap, 5.0 per cent of the portfolio The same holding, Rs 23 crore, in both rows. Against the Rs 300 crore equity sleeve 7.67 per cent 0 10 per cent of the base named above The cap is written against the portfolio, so it does not belong on the lower row. Invented portfolio. Figures illustrative.
Both rows show the identical rupee holding, and only the denominator changes between them.

Later stages multiply by this share, so the rounding convention matters here too. The record rounds the sleeve figure to 7.7 per cent when it simply names it. Any arithmetic that multiplies by the sleeve share uses 7.67, not 7.7, and that rule is followed everywhere below.

How much room the largest holding has left under the cap. the cap, Rs 25 crore Rs 23 crore 0 5 10 15 20 25 30 Rs 2 crore Rs 2 crore is 0.4 points of the Rs 500 crore portfolio and 0.67 points of the Rs 300 crore sleeve. Invented portfolio. Scale in Rs crore. Figures illustrative.
The headroom under a cap is itself a number with two bases, and it reads differently against each.
One rule, two substitutions, two correct answers. weight = rupees in the holding divided by the base Rs 23 crore over Rs 500 crore 4.6 per cent Rs 23 crore over Rs 300 crore 7.67 per cent Change the base and the number changes, though nothing about the holding moved. Invented portfolio. Figures illustrative.
The whole base law is one division, and the argument only ever concerns what goes underneath the line.
Try it out

A holding is 4.6 per cent of the portfolio. Before the control below is touched, what is that same holding as a share of the equity sleeve?

Play with it

Move the equity weight and watch one base move while the other stands still

The portfolio stays at Rs 500 crore, the holding stays at Rs 23 crore and the cap stays at Rs 25 crore, which is 5 per cent of the portfolio. Only the equity weight moves, across the 50 to 70 per cent band the mandate permits. At the settled 60.0 per cent the sleeve is Rs 300 crore, the holding is 4.60 per cent of the portfolio and 7.67 per cent of the sleeve, and the cap is 8.33 per cent of the sleeve.

EQUITY 50.0EQUITY 60.0EQUITY 70.0
One holding, one cap, two bases. The outline is the Rs 500 crore portfolio. The shaded part is the equity sleeve. Rs 300 crore The equity sleeve, at the weight set by the control above. Measured against the portfolio. This row never moves. cap, 5.00 per cent of the portfolio 0 2 4 6 8 10 12 4.60 per cent of the portfolio Measured against the equity sleeve. This row moves. cap, 8.33 per cent of the sleeve 0 2 4 6 8 10 12 7.67 per cent of the sleeve
Equity weight
60.0
Equity sleeve
Rs 300 cr
Share of portfolio
4.60
Share of sleeve
7.67

At an equity weight of 60.0 per cent the equity sleeve is Rs 300 crore, so the same Rs 23 crore holding is 4.60 per cent of the Rs 500 crore portfolio and 7.67 per cent of the Rs 300 crore equity sleeve, while the Rs 25 crore cap is 5.00 per cent of the portfolio and 8.33 per cent of the sleeve.

Educational illustration. Play with it. Every figure belongs to one stated twelve month period. The holding is held at Rs 23 crore on purpose and only the equity weight moves, so the base is the only thing that changes.
Try it out

The mandate says no holding above 5 per cent. Is a holding sitting at 7.67 per cent of the equity sleeve in breach of it?

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How security selection fits into portfolio construction: where in the order does it sit?

Five stages run in order, and each one hands the next a smaller room than it was given. The mandate sets the constraints. The allocation sets the sleeve sizes inside those constraints. Selection fills the sleeves. Implementation gets the chosen holdings into the portfolio at some cost. Monitoring reports what happened afterwards. The Anantara Multi-Asset Portfolio moved through all five before the stated twelve month period closed.

The order is not a filing convention but a chain of nested permissions. The mandate permits equity between 50 and 70 per cent; the allocation picks 60.0 per cent inside that; selection then works inside the Rs 300 crore that 60.0 per cent produced. Because each stage inherits a smaller room, the same manager can be entirely right about a holding and still be immaterial to the portfolio, and that is a statement about the room rather than about the judgement.

The same nesting explains why any account of investing that begins with the holding deserves suspicion. Beginning there skips the two stages that set the size of every consequence, and skipping them is exactly why the choosing of holdings comes after the mandate and the allocation rather than before them.

Each stage inherits a smaller room than the one before it. 1. The mandate sets the constraints 2. The allocation sets the sleeve sizes 3. Selection fills the equity sleeve selection sits here 4. Implementation gets it there 5. Monitoring reports it Invented mandate. Widths illustrate order, not magnitudes.
Selection is the third of five stages and is handed its room rather than choosing it.
The equity room in rupees, and how much of it selection can move. the allocation chose Rs 300 crore Rs 250 crore Rs 350 crore Rs 0 Rs 500 crore The mandate permits Rs 250 crore to Rs 350 crore of equity. The allocation chose Rs 300 crore. Selection may move none of that width. It works inside whichever number was chosen. Invented mandate. Scale in Rs crore of a Rs 500 crore portfolio. Figures illustrative.
The shaded band is the width the mandate allows and the dashed line is the single number selection inherited.

Asset allocation vs security selection: which of the two can move the base?

Comparing the two on importance produces an argument nobody wins. Compare them on what each can move instead, and the difference stops being a matter of taste. Asset allocation changes how much money sits in each class. Security selection changes what sits inside one class. Only the first of those changes the base that every selection result is later multiplied by.

Put a number on it. The Anantara Multi-Asset Portfolio's equity sleeve is Rs 300 crore of Rs 500 crore, so the multiplier from the sleeve to the whole is 0.60. A gain of one percentage point inside the equity sleeve arrives at the portfolio as 0.60 points. Two points inside the sleeve arrive as 1.2 points. Allocation sets that multiplier and selection cannot touch it. The two decisions differ in kind, not in importance.

The direction of the arithmetic trips people up, so it is worth stating twice. Going from a sleeve figure to a portfolio figure, multiply by 0.60. Going the other way, from a portfolio figure back to a sleeve figure, divide by 0.60. Multiplying where the arithmetic calls for dividing understates a sleeve result by a factor of nearly three, and it happens in committee papers more often than anybody admits.

A point earned inside the sleeve arrives as 0.60 of a point. INSIDE THE EQUITY SLEEVE AT THE PORTFOLIO LEVEL 1.00 point multiply by 0.60 0.60 points Rs 300 crore of Rs 500 crore is 60.0 per cent, and that ratio is the whole of the multiplier. Invented portfolio. Figures illustrative.
The multiplier is nothing more than the sleeve's share of the portfolio, fixed before any name was chosen.
The same conversion, run at four different sleeve results. Inside the equity sleeve At the portfolio level 0.5 0.30 1.0 0.60 2.0 1.20 3.0 1.80 Every right hand figure is the left hand one multiplied by 0.60, the sleeve's share of the portfolio. Invented portfolio. Sleeve results are illustrations, not recorded returns.
The conversion is the same multiplication at every size, so a larger sleeve result shrinks by the same fraction.
Allocation changes the width. Selection changes the filling. Allocation moves the base 50 Rs 250 crore 60 Rs 300 crore 70 Rs 350 crore Equity weight, per cent of the portfolio Selection fills the room 4 names 6 names 12 names Same width every time, whatever fills it Only the left panel can change the 0.60 multiplier. Invented portfolio. Name counts are illustrative only.
The left panel changes the size of the room and the right panel changes only its contents.
Try it out

Suppose the equity holdings beat the equity part of the composite benchmark by 2.0 points inside the sleeve, over the stated twelve month period. What does the whole portfolio get from that, before costs?

What is the allocation effect, and what is it measured against?

Once a stated period closes, the gap between what the portfolio returned and what its benchmark returned can be split into parts. The excess returnThe difference between what a portfolio returned and what its stated benchmark returned over the same period. An excess return says nothing on its own until it is split apart. for the Anantara Multi-Asset Portfolio over the stated twelve month period was plus 1.6 percentage points gross, being 14.2 per cent against the composite benchmark's 12.6 per cent, with the risk-free rate at 6.5 per cent for the same period. The word gross is load bearing: what costs did to that figure belongs to implementation and is covered separately.

The allocation effectThe part of a return gap that came from holding different amounts in each asset class than the benchmark held, rather than from holding different things inside a class. is the part of that gap that came from holding different class weights than the benchmark held. The composite benchmark is 60 per cent a broad equity index and 40 per cent a broad bond index, both deliberately unnamed here. The portfolio held 60.0 per cent equity, 30.0 per cent fixed income and 10.0 per cent cash. So the equity weights matched, the fixed income weight was ten points lower and the cash weight was ten points higher. An allocation effect measures exactly that difference in shape.

The record gives plus 0.35 points for the stated twelve month period. On Rs 500 crore that is Rs 1,75,00,000/-. An allocation effect is defined entirely by the benchmark's weights, so quoting one without naming the benchmark and its weights reports a difference from nothing in particular. The composite is therefore described in full every time it appears, even though it is never named.

The portfolio holds class weights the composite benchmark does not. portfolio composite benchmark EQUITY 60.0 per cent 60.0 per cent FIXED INCOME 30.0 per cent 40.0 per cent CASH 10.0 per cent 0.0 per cent, a genuine zero, not a missing bar The recorded allocation effect for the stated period is plus 0.35 points, which is Rs 1,75,00,000/-. Invented portfolio and invented composite benchmark, both unnamed. Figures illustrative.
The benchmark carries no cash sleeve at all, so the ten point cash weight is a genuine difference in shape.
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What is the selection effect, and what does it complete?

The selection effectThe part of a return gap that came from holding different individual securities inside a class than the benchmark held, with the class weights held aside. is the other part: what came from holding different things inside a class rather than different amounts of each class. For the Anantara Multi-Asset Portfolio over the stated twelve month period the record gives plus 1.25 points. On Rs 500 crore that is Rs 6,25,00,000/-.

Run the check that every attribution needs. Plus 0.35 and plus 1.25 sum to plus 1.60, the whole gross excess return. In rupees, Rs 1,75,00,000/- plus Rs 6,25,00,000/- is Rs 8,00,00,000/-, and Rs 8,00,00,000/- is 1.6 per cent of Rs 500 crore. A split that does not add back to the number it split has not been checked, and a reader who never sees the sum has not been shown one either.

One warning matters more than either figure. The record splits the same gross 1.6 points a second way, into about 0.49 points that came from carrying more market exposure than the benchmark and about 1.11 points of everything else. The second split asks a different question on a different basis. Both pairs sum to 1.60. Neither pair is the true one. A term from the first pair may never be set beside a term from the second. The resulting number describes nothing at all.

Where the 1.6 points came from, on the record's own split. 0.35 ALLOCATION 1.25 SELECTION Rs 1,75,00,000/- Rs 6,25,00,000/- 1.60 points in total, Rs 8,00,00,000/- on Rs 500 crore Both parts belong to the one stated twelve month period, against the composite benchmark. Invented record. Figures illustrative and not evidence about any approach.
The two effects add back exactly to the gross 1.6 points they were taken from, which is the check that makes them readable.
The same 1.6 points, split twice, for two different questions. Question one. Where did the excess return come from? 0.35 allocation 1.25 selection Never set a term from one row beside a term from the other. Question two. How much of it was simply market exposure? about 0.49 market exposure about 1.11 everything else Both rows total 1.60 points for the same period. Neither row is the true split. Invented record. Figures illustrative.
Two decompositions of one number answer different questions and their terms are never interchangeable.
Try it out

Plus 0.35 and plus 1.25 points, or about 0.49 and about 1.11 points. Which pair is the real split of the 1.6 points?

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What is fundamental investing when it is treated as a way of filling a sleeve?

Fundamental investingFilling a sleeve by forming a view on each business one at a time, so every holding is there because of a reason specific to it rather than because of a rule applied across many. is one way of answering the selection question. Holdings enter the sleeve because somebody formed a view on each business separately, one at a time, and judged that view strong enough to fund. The Anantara Multi-Asset Portfolio's equity sleeve was filled this way across 28 names.

How such a view is formed is a separate subject. How a business is researched, how a valuation is built and what makes one company more attractive than another are each covered under their own subjects. The portfolio question is not whether the view is right, it is how a right view is converted into a position of a particular size inside a room of a particular width.

Held to that line, fundamental investing is a filling rule with three properties worth noticing. Each holding needs its own justification, and a justification is expensive in time. The number of holdings is therefore bounded by how much research capacity exists. And because each holding is argued individually, nothing in the method itself forces anybody to check what the 28 names have in common. Checking for a shared condition is a separate job, belonging to the risk and monitoring stages rather than to selection.

Filling the sleeve one business at a time. The equity sleeve: 28 holdings, Rs 300 crore A view is formed on one business at a time, and a holding is funded only if that view is held. How that view is formed is covered separately and is not explained here. Each box is one holding of the 28. Invented sleeve. No holding is named, numbered or described anywhere.
Twenty eight separately argued holdings fill one sleeve, and the argument for each one belongs to the research of individual businesses.
Try it out

Two holdings in the same sleeve both rise 20 per cent over the stated twelve month period. Do they contribute the same amount to the portfolio?

How position sizing changes portfolio outcomes: what is the same 20 per cent move worth?

Position sizingDeciding how many rupees go into a chosen holding. Sizing is a separate decision from choosing the holding, and it decides how much the choice is worth. is the second half of every selection decision and it is routinely treated as an afterthought. Choosing the holding decides whether the move is favourable. Sizing the holding decides how much the move is worth. The Anantara Multi-Asset Portfolio makes the point cleanly because two of its position sizes are locked in the record.

An equal weightThe size every holding would have if the money in a sleeve were divided evenly between all of them. An equal weight is a measuring stick for reading actual sizes rather than a target. holding in this sleeve is Rs 300 crore divided by 28, or Rs 10.71 crore. Rs 10.71 crore is 2.14 per cent of the Rs 500 crore portfolio and 3.57 per cent of the Rs 300 crore equity sleeve. The largest holding is Rs 23 crore, about 2.15 times the equal weight.

Now run the same 20 per cent gain through both. On Rs 23 crore a 20 per cent gain is Rs 4,60,00,000/-, or 0.92 points of the portfolio and 1.53 points of the sleeve. On Rs 10.71 crore the identical 20 per cent gain is about Rs 2.14 crore, or 0.43 points of the portfolio. Being right about the holding and being right about its size are two separate decisions, and here the second one scales the first by more than two times from an identical move.

The sleeve spread evenly, against the largest holding as it stands. 28 equal holdings of Rs 10.71 crore each the largest holding, Rs 23 crore, about 2.15 times an equal weight an equal weight, Rs 10.71 crore Rs 300 crore divided by 28 is Rs 10.71 crore: 2.14 per cent of the Rs 500 crore portfolio and 3.57 per cent of the Rs 300 crore sleeve. Invented sleeve. Equal blocks are a reference point, not a description of the actual sizes.
An equal weight is a measuring stick for reading actual position sizes rather than a target to aim at.
The same 20 per cent gain, at two different position sizes. Holding at Rs 23 crore 0.92 points Rs 4,60,00,000/- Holding at Rs 10.71 crore 0.43 points about Rs 2.14 crore Contribution to the Rs 500 crore portfolio, in percentage points, from an identical 20 per cent gain. Invented portfolio. The 20 per cent gain is an illustration, not a recorded return.
An identical percentage move is worth more than twice as much at the larger of these two position sizes.
What a 20 per cent gain adds, by the size of the holding. Points added to the Rs 500 crore portfolio the cap, Rs 25 crore 0 0.40 0.80 1.20 0 5 10 15 20 25 30 equal weight, Rs 10.71 crore largest holding, Rs 23 crore beyond the cap, not permitted here Size of the holding, Rs crore Invented portfolio. The 20 per cent gain is an illustration, not a recorded return.
Contribution rises in a straight line with position size, and the mandate cuts that line off at Rs 25 crore.

What does a cap on any single holding actually prevent?

Less than most readers assume, and the arithmetic settles it in one division. The cap in the Anantara mandate is 5 per cent of the portfolio, or Rs 25 crore. Divide the Rs 300 crore equity sleeve by Rs 25 crore and the answer is twelve. Twelve holdings, each sitting exactly at the cap, would fill the entire equity sleeve and breach nothing at all: not the cap, not the 50 to 70 per cent equity band, not the listing requirement.

The sleeve of the Anantara Multi-Asset Portfolio holds 28 names instead. The spread in this sleeve is therefore something the manager chose, not something the cap produced, and a reader who treats a cap as evidence of spread has read a ceiling as though it were a floor. A ceiling says how far one thing may go. A floor would say how many things there must be, and this mandate states no such thing.

The cap does do something, and being precise about it is worth a moment. The cap stops any single holding from moving the portfolio by more than a bounded amount, and the bound is computable: at Rs 25 crore, a holding falling by half costs 2.5 points of the portfolio. The cap leaves entirely alone how many names there are and whether those names rest on the same underlying condition. No per name limit can see that condition.

Twelve holdings at the cap would fill the whole equity sleeve. 25 25 25 25 25 25 25 25 25 25 25 25 12 holdings of Rs 25 crore each, Rs 300 crore, no constraint broken This sleeve holds 28 names instead, which is a choice rather than a requirement. Invented mandate. Each block is Rs 25 crore. Figures illustrative.
A sleeve filled by twelve names at the cap satisfies every stated constraint in this mandate.
What a cap on any one name does, and what it never touches. What the cap prevents Any one name above Rs 25 crore. A single name able to move the portfolio without limit on its own. That is the whole of what it does. What the cap leaves alone How many names the sleeve holds. Whether those names rest on one shared condition. Whether the spread is 12 or 28. A ceiling is not a floor, and reading one as the other reverses the claim. Invented mandate. Figures illustrative.
A per name ceiling bounds one holding and says nothing whatever about how many holdings exist.
The bound a per name cap actually buys, computed. lost, Rs 12.5 crore what is left A holding at the cap, Rs 25 crore, falling by half: Rs 12.5 crore lost. 2.5 points of the Rs 500 crore portfolio 4.17 points of the Rs 300 crore equity sleeve That bound is what a per name cap buys, and it is the whole of what it buys. Invented mandate. The fall of half is an illustration, not a recorded move.
Even a holding sitting exactly at the cap has a computable worst case, and it reads differently on each base.
Try it out

How many holdings sitting exactly at the Rs 25 crore cap would fill the Rs 300 crore equity sleeve?

Why does a top ten share need a floor before it can be read?

Concentration is usually reported as the share of a sleeve held by its largest handful of names, and that share is almost always read as though any number were possible. It is not. If a sleeve holds 28 names, the ten largest of them cannot possibly hold less than ten twenty-eighths of it, and ten twenty-eighths is 35.71 per cent. The ten largest can never be smaller than ten average ones. The floor is made of arithmetic, and no amount of careful spreading gets below it.

So a reported top ten share only becomes informative once it is set beside that floor. A figure of 40 per cent against a floor of 35.71 per cent describes a sleeve that is close to evenly spread. A figure of 70 per cent against the same floor describes something quite different. A top ten share below its own arithmetic floor is not a low concentration reading, it is an impossible one, and the usual cause is that somebody changed the base without saying so.

The hazard is not hypothetical. The base error and the floor error are the same error wearing two hats: a share computed against the portfolio and then reported as a share of the sleeve will read far too low, and the floor is the cheapest test that catches it. One division, done in a second, before any discussion of whether the concentration is comfortable.

Any top ten share of 28 holdings has an arithmetic floor. Ten of 28, if all 28 were equal: 35.71 per cent Where the ten largest must actually sit at or above the floor, always A reported figure of 33.0 per cent 0 10 20 30 40 50 60 the floor, 35.71 per cent Scale is the top ten share as a percentage of the equity sleeve. The 33.0 per cent figure is a worked illustration of an impossible reading, not a recorded number.
A reported share below ten twenty-eighths of the sleeve cannot exist, so the floor tests the figure before anyone debates it.
Try it out

A paper reports that the ten largest of 28 holdings are 33 per cent of the equity sleeve. What should be checked first?

What does the record refuse to say about the selection effect?

Here is where the worked instance ends honestly rather than tidily. The selection effect for the Anantara Multi-Asset Portfolio is plus 1.25 points of the whole Rs 500 crore portfolio, or Rs 6,25,00,000/-. A natural next question is how much of that arose inside the equity sleeve. The multiplier is sitting right there, so the temptation is to divide 1.25 by 0.60 and announce 2.08 points inside the sleeve.

The division is valid only if the entire selection effect arose in the equity sleeve, and nothing in this record says that it did. The fixed income sleeve holds securities too, and a selection effect can arise there. The word if is doing all the work in that sentence, and where a record is silent the honest report states the conditional and stops, rather than converting silence into a number.

So the finished worked instance reads like this. The sleeve is Rs 300 crore of Rs 500 crore, or 60.0 per cent. An equal weight holding is Rs 10.71 crore, being 2.14 per cent of the portfolio and 3.57 per cent of the sleeve. The largest is Rs 23 crore, being 4.6 per cent of the portfolio and 7.67 per cent of the sleeve, about 2.15 times an equal weight, with Rs 2 crore of room under the Rs 25 crore cap. The gross excess return was 1.6 points, split by the record into 0.35 of allocation and 1.25 of selection. Where inside the portfolio the 1.25 arose is not supplied.

The recorded selection effect, and the split the record does not supply. Selection effect plus 1.25 points Rs 6,25,00,000/- on Rs 500 crore Split by sleeve NOT SUPPLIED The record does not say where it arose. If the whole of it arose in the equity sleeve, dividing by 0.60 gives 2.08 points inside it. The word if is doing all the work, and nothing in the record settles it. 1.25 points, measured against the portfolio 2.08 points inside the sleeve, only if all of it arose there Invented record. The lower bar is a constructed illustration of a conditional, not a recorded figure.
Drawing the missing split as not supplied teaches the refusal, where quietly dividing by 0.60 would have asserted a fact.
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How does anybody use this in a committee room, on a Tuesday?

An investment committee like Rukmini Deshpande's uses it as a reading habit rather than a calculation. Every weight that reaches the papers is read with the question what is this a share of, and a weight arriving without an answer goes back. The habit stops the two most expensive mistakes in this whole area. The first is comparing a limit with a measurement on a different base. The second is reporting a concentration figure that could not exist.

An analyst reviewing a manager's record uses the multiplier the same way. A sleeve number and a portfolio number differ by a factor that has nothing to do with the manager. Told that the equity holdings did well, the analyst converts the sleeve figure to what the whole portfolio received before treating it as a result. A lender assessing a borrower whose assets sit in a managed portfolio does the reverse conversion to work out what a fall in one sleeve does to the total.

A household does exactly the same work with a pen, and the arithmetic is identical at every scale. Suppose savings of Rs 20,00,000/-, of which Rs 8,00,000/- sits in the equity part, and one holding is Rs 1,00,000/-. The Rs 1,00,000/- holding is 5.0 per cent of all savings and 12.5 per cent of the equity part. Both numbers describe the same rupees. A household that reads only the second will think it is more than twice as exposed as it is. A household that reads only the first will underestimate what a bad year in that holding does to the equity part.

The same base question, at the scale of one household's savings. Rs 20,00,000/- of savings in total equity part, Rs 8,00,000/- everything else One holding of Rs 1,00,000/- is 5.0 per cent of the Rs 20,00,000/- of savings and 12.5 per cent of the Rs 8,00,000/- held in the equity part. 5.0 per cent of all savings 12.5 per cent of the equity part Invented household figures, used only to show that the base changes the number.
The base law is not an institutional refinement, and one household's savings show the identical two readings.

The error that gets made, and what it costs

An investment committee paper reports on sheet four that the largest holding is 4.6 per cent, comfortably inside the 5 per cent limit, and that the sleeve is well spread across 28 names. Two sheets later the same paper turns to the equity sleeve and describes that same holding as 7.7 per cent. Both numbers are correct. Neither base is stated in the sentence carrying it.

Nobody notices, and nothing looks wrong. A reader who read sheet four carries away a picture of a holding with room to spare. A reader who read sheet six carries away a picture of a position approaching a tenth of what it is looking at. The two readers are looking at Rs 23 crore in both cases.

The cost is specific and it lands on the next decision. A committee that believes it has 0.4 points of headroom against the cap when it is actually reading a sleeve figure, or believes a position is nearly twice the size it is when reading a portfolio figure, will size the following trade wrongly in whichever direction the confusion happens to run. The fix takes one sentence: name the base in the same sentence as the number, every time, in tables, in captions and in the summary paragraph as much as in the body.

One paper, two bases, and a reader who is never told which is which. Page four of the paper The largest holding is 4.6 per cent, comfortably inside the 5 per cent limit. Page six of the same paper In the equity sleeve, that holding is 7.7 per cent. the same Rs 23 crore The reader carries away two different impressions of concentration. The fix is one sentence: name the base in the same sentence as the number. Invented committee paper. Figures illustrative.
Two correct figures two sheets apart leave a reader with two incompatible pictures of the same position.
India

Where the obligations around a managed mandate sit

A discretionary mandate run for somebody else is a regulated arrangement in India, and the requirements that attach to it, including anything touching disclosure of holdings and concentration, sit with the Securities and Exchange Board of India at sebi.gov.in. The 5 per cent cap used throughout is a constraint the invented mandate wrote for itself and is not a regulatory figure. The current text should be confirmed at the source before any of it is relied on.

Every weight reaches the papers with its base named. See what selection measured.

What is security selection not?

Security selection is not the whole of investing, and treating it as the whole is the single most common distortion in popular writing about portfolios. Selection is one stage of five, working inside a room whose width was set at the previous stage. Selection is not the allocation, which chose that width. Selection is not implementation either, and what the chosen holdings cost to acquire is set out under implementation. And it is not research: forming a view on a business is a different craft, covered separately.

Selection is exactly this: the decision about which holdings and at what size, taken against a fixed total. Both halves of that decision matter, and the second half, the size, is the one that converts a correct view into a number the portfolio can actually feel. Everything else in this guide is arithmetic that makes those two halves visible.

Try it out

The selection effect contributed plus 1.25 points over the stated twelve month period. How much was that in rupees, and inside which sleeve?

What it costs to buy or sell a chosen holding is set out under implementation. Factor models, style groupings, style drift and hedging are set out under their own subjects. How a view on a business is formed and how a company is valued are covered separately. How the 60, 30 and 10 policy weights were arrived at is settled under asset allocation. Pooled vehicles and private structures are covered in their own sections.

References

SourceDocumentWhere
Securities and Exchange Board of IndiaThe obligations attaching to a discretionary mandate run for another party, named and not stated heresebi.gov.in
National Stock Exchange and the Bombay Stock Exchange (BSE)Where trading, settlement and index construction rules are published, named without describing a rulenseindia.com, bseindia.com

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

Covered in this topic

Subtopics

Allocation EffectSelection EffectFundamental InvestingHow Security Selection Fits Into Portfolio ConstructionHow Position Sizing Changes Portfolio OutcomesAsset Allocation vs Security Selection
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