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Private Wealth Management · CoreTrack
1Portfolio Construction & Investment Management
iMandate 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
iiRisk, 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…
iiiAsset 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…
ivRisk 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…
vPortfolio 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
2Wealth, Advice & Personal Finance
iMoney Basics and Banking
Household Financial DocumentsHousehold ExpensesHousehold IncomeBank AccountsDigital Payments in IndiaFinancial GoalsThe Household Financial ReviewThe Household Balance SheetHow to Build a…Your Banking CredentialsOverdraftGoal HorizonGoal PlanningHousehold Cash FlowMonthly BudgetBudget vs Cash Flow
iiCredit and Debt
DebtLoansLoan and EMIHow to Read a…InterestCompound InterestCredit CardsCredit Card vs Personal LoanBuy Now Pay LaterYour Credit RecordDebt ConsolidationCredit ScoreHow to Read a…The Debt TrapDebt PayoffDebt-to-Income RatioHow to Build a…
iiiHousehold Resilience
Financial ResilienceFinancial ShocksEmergency FundHousehold Net WorthHow to Prepare for…
ivInsurance and Protection
Term InsuranceTerm Cover NeedInsurance Fact vs Insurance AdviceEmergency Fund vs InsuranceReading an Insurance Policy DocumentTerm Insurance vs Endowment PolicyThe Proposal FormInsurance ClaimsHealth InsuranceHow to Prepare an…Protection PlanningHow to build a…Policyholder and NomineeDeductible and Co-PaymentULIPTerm Insurance vs ULIP
vInvesting Literacy
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viRetirement
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viiAdvice Process
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viiiRights and Recovery
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ixFraud Awareness
Financial FraudHow to Respond to…How to Prepare a…Ponzi SchemesPonzi Scheme vs Regulated InvestmentHow to Recognise a…Financial InfluencersSocial EngineeringReturn and Performance ClaimsFinancial Red Flags

Strategic, Custom and Peer Benchmarks: How They Differ

A benchmark is the portfolio a mandate would have held if nobody took a single decision. A strategic one is a fixed public composite. A custom one is built to match one mandate's own constraints. A peer one is what other portfolios did, and it is neither investable nor stable. The Anantara Multi-Asset Portfolio holds cash its composite does not contain.

Performance attribution showed that every attribution effect is measured against a benchmark and quietly inherits whatever that benchmark happens to be. A question then sits on the table, and almost nobody asks it out loud: where did the benchmark come from, and who decided it was the right one? The three kinds differ on two axes that actually matter, who builds each one and what each one rewards, and the mismatch between a mandate and its benchmark has a price in rupees.

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 policy weights are 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, summing to Rs 500 crore exactly. Its benchmarkThe alternative portfolio a result is measured against. It is stated in advance so that whatever the actual portfolio did can be read as a difference from something. is a composite benchmarkA benchmark made by blending two or more market measures in stated proportions, rather than using a single one on its own. of 60 per cent a broad equity measure and 40 per cent a broad bond measure. Every weight and return below belongs to one stated twelve month period.

Notice what has already gone wrong, before anybody has chosen a single holding. The mandate holds cash. The composite holds none. Ten points of the Anantara portfolio sit in a bucket the yardstick does not contain, and that gap was written into the pairing rather than chosen by anyone.

The pairing, bucket by bucket, at the policy weights. THE PORTFOLIO THE COMPOSITE EQUITY 60.0 per cent FIXED INCOME 30.0 per cent CASH 10.0 EQUITY 60.0 per cent BONDS 40.0 per cent 10 points of the whole Rs 50 crore cash here, bonds there Equity matches at 60 against 60. Fixed income is 10 points light. Cash is 10 points heavy against a benchmark weight of zero. The Anantara Multi-Asset Portfolio and its composite are invented. Figures illustrative.
The mandate holds a bucket the composite does not contain, so Rs 50 crore sits outside the yardstick by construction rather than by choice.
Try it out

A mandate must hold 10 per cent cash and its benchmark holds none. Before any return figure appears at all, what does that do to the measured result?

What job does a benchmark actually do?

The definition worth memorising is not the one most people carry. A benchmark is the alternative that needed no decisions. The alternative is what the mandate would have held if Faiz Ahmad Ansari had gone away for the year, taken no view on anything, and simply let the stated shape sit there. Everything he actually did then becomes a difference from that shape, and a difference is readable in a way a raw number never is.

Consider how a school report is judged. A mark of 68 says almost nothing on its own. Set 68 against the paper the whole class sat and the mark starts to say something. A brutal paper can leave everyone under 50, so the class average is neither a target the student was aiming for nor a standard of adequacy. The class average is simply the quantity subtracted. What is left is about this student rather than about the paper.

The consequence almost nobody states out loud is the one that governs everything else in this area. A benchmark is not a target and not a standard of adequacy, it is a subtraction, and every measure that follows in performance work is built out of that subtraction rather than out of the raw return. Excess return is a subtraction. Active risk is the volatility of a series of subtractions. An attribution effect is a subtraction sliced by bucket. Change the thing being subtracted and every one of those numbers changes, without a single holding in the Anantara Multi-Asset Portfolio moving by one rupee.

One subtraction, and everything else built on top of it. All figures belong to the one stated twelve month period. THE PORTFOLIO 14.2 per cent less THE COMPOSITE 12.6 per cent is THE SUBTRACTION plus 1.6 points EXCESS RETURN The subtraction itself, nothing more: 14.2 less 12.6, plus 1.6 points gross. ACTIVE RISK The spread of a whole series of subtractions, recorded at 3.7 per cent. AN ATTRIBUTION EFFECT The same subtraction cut by bucket: plus 0.35 and plus 1.25, adding to 1.60. Move the box on the right of the top row and all three boxes below it change, without one rupee moving. The 0.35 and 1.25 are the attribution split, which asks where the excess came from. A different split asks how much of it was market exposure, and terms from the two are never mixed. Invented portfolio, invented figures.
Every measure in this area descends from one subtraction, so changing what is subtracted reprices all of them.

The choice of benchmark is therefore not administrative housekeeping. The choice reprices the entire record of the year, and it is taken once, usually quickly, and often by whoever had a spreadsheet open.

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What is a strategic benchmark, and what does it buy?

A strategic benchmarkA fixed, published blend of broad market measures in stated proportions, settled when the mandate is written and then left alone for the life of it. is a fixed, published composite of broad market measures in stated proportions, settled when the mandate is written and then left alone. The Anantara portfolio's 60 and 40 composite is exactly this shape. Two proportions, two broad measures, written down once.

Its first strength is that it cannot be changed after the fact. Once 60 and 40 is in the document, nobody can look at a disappointing year and discover that 50 and 50 would have been the fairer comparison all along. Fixing the proportions sounds like a small procedural point. Adjusting the yardstick after seeing the result is not a rare temptation but the normal human response to a bad number, and resisting it is the whole reason the form exists.

Its second strength is that anybody can check it. A trustee with no access to the holdings, working from published proportions and published market measures, can reproduce the benchmark return independently and arrive at the same figure the manager reported. A strategic benchmark buys a number that survives being checked by somebody with no reason to trust the manager. Most measures in this business do not have that property.

Hand each one to a trustee who has no access to the holdings. What would they need, and could they arrive at the same figure on their own? STRATEGIC The stated proportions, 60 and 40, and two published market measures. REBUILDS IT ALONE CUSTOM The construction rules themselves, dated, out of the mandate document. REBUILDS IT ONLY WITH THAT DOCUMENT PEER Every comparable portfolio's return for the window, closures included. CANNOT REBUILD IT Invented mandate. What each form needs is a property of the form, not of any real arrangement.
A benchmark is only checkable to the extent an outsider can obtain the inputs that built it.

Its weakness is single and serious. A strategic benchmark is built from broad market shapes, so it will not fit a mandate carrying unusual constraints. The Anantara mandate must hold cash. No broad composite of an equity measure and a bond measure contains a cash bucket, so the fit fails at exactly the point the mandate is most specific about itself.

What is a custom benchmark, and where is it exposed?

A custom benchmarkA benchmark assembled for one mandate, so that its buckets and proportions mirror what that mandate is actually permitted to hold. is assembled for one mandate. Its buckets mirror the mandate's own opportunity setThe complete set of things a mandate is permitted to hold, after every restriction on kind, credit standing, currency and listing has been applied., meaning the full set of things that mandate is actually allowed to hold once every restriction has been applied. For the Anantara mandate that would mean a composite with three buckets rather than two, at 60, 30 and 10. The cash the mandate is required to carry would then have a counterpart in the composite it is measured against.

The strength is exactly what the strategic form lacks. The custom form measures the manager against what the manager was allowed to do. If the mandate forbids unlisted holdings, imposes a minimum credit standing on the fixed income sleeve and requires a cash reserve, then a yardstick containing unlisted names, weaker credit and no cash is asking about a portfolio that was never available to be built. Nobody learns anything from a comparison with a portfolio nobody could have held.

What the mandate says, and what a two bucket composite can express. WHAT THE MANDATE IMPOSES THE COMPOSITE'S COUNTERPART Equity between 50 and 70 per cent Yes, sitting at a fixed 60.0 per cent No single holding above 5 per cent None. It has buckets, not holdings No unlisted holdings Not expressed either way A minimum credit standing on the bonds Not expressed. The bond measure is broad Cash at 10.0 per cent, required None whatever. It holds no cash One constraint out of five has a counterpart, and the one at the foot is the one that costs money. Invented mandate and invented composite. Constraints are stated as policy, never as a rating symbol or a rule.
Only one of the mandate's five constraints has any counterpart in a two bucket composite.

The exposure is the mirror image of that strength, and it is uncomfortable enough that people skip past it. A custom benchmark is built by somebody, and if that somebody is close to the person being measured, it can be built to be easy without anyone ever writing down a dishonest sentence. A credit floor nudged a shade weaker in the benchmark than in the mandate. The more sluggish of two defensible measures chosen for one bucket. None of those choices is a lie. Each is arguable on its own. The result is a yardstick nobody outside the room can reproduce, quietly set a little lower than the thing it measures.

How a yardstick gets built low without a single dishonest sentence. THE MANDATE'S OWN STANDARD EASIER TO CLEAR The credit floor in the benchmark, set a shade weaker than the one the mandate imposes arguable on its own The more sluggish of two defensible market measures, chosen for one bucket arguable on its own THE TWO TOGETHER and now nobody outside the room can reproduce it Constructed illustration. The bar lengths carry the argument only; no size is drawn from the case record, and nothing here describes any real arrangement.
Each construction choice is defensible alone, and leaning them the same way needs no dishonest sentence.
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Strategic Benchmark vs Custom Benchmark: which trade is actually being made?

Set the two forms side by side on five questions and the shape of the choice becomes hard to miss. Who sets it. Who can change it. Can an outsider reproduce it. Which behaviour does each one reward. And where does each one fail.

The same five questions, asked of both forms. STRATEGIC CUSTOM Who sets it The holder, from published market measures Holder and manager together, inside the mandate Who can change it Nobody, once it is written Whoever built it, unless it is dated and fixed in writing Can an outsider reproduce it Yes, from public proportions Only with the construction rules in hand What it rewards Beating a broad market shape Beating what the mandate actually permitted Where it fails It will not fit a mandate with unusual constraints It can be built to be easy Verifiability sits on the left, fit sits on the right, and no third form collects both at once.
The strategic form buys verifiability at the cost of fit and the custom form buys fit at the cost of verifiability.

Read the last row twice. The trade is the finding. The strategic form buys verifiability at the cost of fit, the custom form buys fit at the cost of verifiability, and there is no third form on the shelf that quietly collects both. Anyone claiming that an arrangement has solved this has either written the construction rules down and dated them, or has not thought about it. Writing the rules down and dating them converts a custom benchmark into something an outsider can reproduce, and that is the honest way through.

The everyday version is a driving test. A published test route anybody can inspect is verifiable and may not resemble the roads actually driven daily. A route built around one driver's own commute fits perfectly and can be laid out to avoid every junction that driver finds hard. The way out is not a cleverer route. The way out is publishing the route in advance. The fit is then real and the choosing is on the record.

The two things a yardstick can be, and what it costs to get both. FIT TO THE MANDATE, UPWARD VERIFIABILITY, CAN AN OUTSIDER REBUILD IT CUSTOM, UNDATED CUSTOM, WRITTEN DOWN AND DATED mirrors the mandate, and only whoever built it can rebuild it this move is not a third form on the shelf. It is the same custom benchmark, plus a document, written first STRATEGIC anybody can rebuild it, no bucket for the cash The peer form is not on this plane at all, because nobody could have held a median that was only chosen at the end. Constructed illustration. The positions show the argument in the text and are not measured quantities.
Fit and verifiability pull apart, and the only route to both is a construction rule written down in advance.
Try it out

A mandate carries an unusual credit floor and a currency restriction. Which of the two forms fits it, and what is given up by taking it?

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Why is a peer benchmark the weakest of the three?

A peer benchmarkA comparison built from what other broadly similar portfolios reported over the same window, usually as a median or a quartile position rather than a single portfolio. is what comparable portfolios did over the same window, usually reported as a median or a quartile position. A peer benchmark is intuitive, a committee reaches for it first, and it carries three separate faults. The word separate is doing real work in that sentence.

The first fault: a peer median cannot be held. The median is computed at the end from a set that was not knowable at the beginning. No portfolio available at the start of the year would have delivered it, and a median nobody could have chosen fails the definition set out above.

The second fault: the population moves. Each year's median is computed from whichever portfolios reported that year, and the reporting group differs from one year to the next. Comparing two medians treats a moving population as a fixed one. The population was never fixed.

The third fault is survivorshipThe distortion that appears when a comparison is built only from the participants still present at the end, because the ones that stopped reporting are missing from it.. Portfolios that closed are not in the set at all. The closed portfolios were there at the start of the year and absent from the calculation at the end, so the survivors flatter the median without anybody intending it.

The three faults are separate faults and not one, and repairing any single one leaves the other two standing exactly as they were. Freeze the population and the median is still unheldable and still missing the closures. Reinstate the closures and the median is still unheldable and still recomputed on a shifting group. A peer comparison is useful as background colour and it is not a yardstick, and the difference between those two roles is the whole of the matter.

Three faults, not one fault with three names. Repair the middle one and watch what is left over on either side of it. CANNOT BE HELD No portfolio available at the start of the year delivers a median computed at the end of it. SHIFTING POPULATION This year's group and last year's group are not the same set of portfolios. SURVIVORSHIP Portfolios that closed are absent, so the ones still reporting flatter the result. SUPPOSE THIS IS REPAIRED STILL STANDING STILL STANDING Fixing any one of the three leaves a comparison that is still not an alternative anybody could have chosen. Illustrative.
A peer comparison carries three independent faults, so repairing one of them leaves the other two entirely untouched.
Try it out

A peer median is recalculated each year from whichever portfolios still report. Name one fault that creates, and say what it leaves unfixed.

Building a Comparable Companies Table teaches you to build a peer set you can defend and a multiple that means something.

What has to be true before a benchmark can be used at all?

Four questions, and a usable benchmark needs a yes to all four. The four are worth running out loud in the room rather than assuming.

One: is it specified in advanceWritten down and agreed before the period it will be used to measure, so that it cannot be selected after the result is known.? Written down before the period it measures, so nobody can choose it after seeing the answer. Two: is it investableSomething a holder could genuinely have held for the whole period, rather than a figure that can only be worked out afterwards.? Somebody could actually have held it for the whole period. Three: is it measurable from published data, and can the return be computed by someone who is not the manager. Four: does it match the constraints the mandate imposes?

Run the Anantara pairing through the four. Specified in advance: yes, the 60 and 40 composite sits in the mandate document. Investable: yes, a holder could have held that shape all year. Measurable: yes, from published market measures. Match: no. The mandate requires cash and the composite contains none.

A benchmark that fails only the fourth question keeps producing numbers every single month, and a failure that keeps producing numbers can survive for years without anybody noticing it. A benchmark failing the first is obviously broken. Nothing can be compared against until somebody picks one. Failing the second or third makes the arithmetic impossible or unverifiable, and impossibility gets noticed. Failing the fourth breaks nothing mechanical at all. The spreadsheet fills in. The report prints. The excess return has a sign and a magnitude. Only the meaning is wrong, and meaning does not throw an error.

Four questions. A usable benchmark needs yes to all four. The Anantara pairing run through the test, as recorded. 1 SPECIFIED FIRST Written before the period it measures, never after. 2 INVESTABLE Somebody could actually have held it all year. 3 MEASURABLE Computable from published data by an outsider. 4 MATCHES THE CONSTRAINTS The mandate holds cash. This does not. YES YES YES NO AND THE NUMBERS STILL ARRIVE EVERY MONTH Nothing mechanical breaks. Only the meaning is wrong. The Anantara mandate and its composite are invented. Figures illustrative.
The recorded pairing passes three of the four tests and fails the fit test, yet keeps producing figures month after month.

Each of the four failures breaks something different, and only one of them breaks nothing visible.

Fail each test in turn and watch what actually breaks. THE TEST THAT FAILS WHAT STOPS WORKING DOES ANYBODY NOTICE 1 Specified in advance There is nothing to compare against until somebody picks one. At once 2 Investable Nobody could have held the alternative, so the subtraction is not a choice anyone declined. Yes, on inspection 3 Measurable The figure cannot be checked by anybody outside. Yes, on the first check 4 Matches the constraints Nothing mechanical breaks at all. The report prints, the excess return has a sign, the meaning is wrong. NO. SILENT Three failures announce themselves. The fourth is the one that can sit inside a review pack for years. Invented mandate. The fourth row is the one the recorded pairing lands in.
Only the fit failure leaves the arithmetic working, which is why that one survives unnoticed.
Try it out

A benchmark is specified in advance, investable and measurable, but does not match the mandate's constraints. Is it usable?

Try it out

The benchmark holds a great deal of something the manager has no appetite for. What is the quiet consequence for the portfolio, before anything is bought or sold?

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How Benchmarks Shape Portfolio Decisions: what changes once the yardstick exists?

Everything, and this is the part of the subject that reads as slightly uncomfortable once it is seen. The moment a benchmark exists, every weight in the portfolio stops being a weight and becomes a difference from a weight. Sixty per cent in equity is no longer sixty per cent in equity. The composite also holds sixty, so the active weight is zero. The Anantara Multi-Asset Portfolio's Rs 300 crore equity sleeve, the single largest thing in the mandate, is invisible to every active measure.

And the reverse holds. The things not held become positions. If the composite carries a large weight in something the manager dislikes, holding none of it is not neutrality, it is the largest bet in the book. At its extreme in this pairing: the composite holds 40 per cent in bonds. A portfolio holding no bonds at all would be running an active position of minus 40 points. The mandate caps any single holding at 5 per cent of the portfolio, so the largest position available through buying anything is 5 points. The biggest position this mandate can take is not a purchase at all, it is an absence, and it is eight times the size of the largest holding the constraints permit.

Every weight, read as a difference from the composite. The vertical line is the composite. Sitting on it means holding no position at all. Equity 0 points. The largest sleeve in the mandate is invisible to this measure. Fixed income minus 10 30 held against 40 in the composite. Cash plus 10 10 against zero. No bonds at all, hypothetically minus 40 points, taken by holding nothing the 5 per cent single holding cap Invented mandate and invented composite. The minus 40 row is a supposition, not a recorded position.
An absence can be a far larger active position than any purchase the mandate's own single holding cap allows.

Put those same three positions into rupees and the asymmetry stops being an abstraction about points.

The same positions, drawn in rupees on one scale. Every bar is a slice of the same Rs 500 crore mandate. The largest holding the cap permits, 5.0 per cent Rs 25 crore The largest holding actually held, 4.6 per cent Rs 23 crore Holding no bonds at all, minus 40 points Rs 200 crore, bought nothing Rs 200 crore against Rs 25 crore is eight times over. The first two bars differ by Rs 2 crore, which is too small a difference to read off the bars and is written here instead. Invented mandate. The bottom bar is a supposition; the recorded portfolio holds fixed income at 30.0 per cent.
In rupees the largest available absence dwarfs the largest purchase the mandate's cap allows.

The asymmetry produces a reflex worth naming without moralising about it. Distance from the benchmark gets questioned and closeness to it never does, so a manager who wants a quiet year is pushed toward the benchmark whatever their view. Hold what the composite holds and no month brings an awkward conversation. Hold something else and every month brings one, including the months where the difference was simply noise.

The reflex is a behavioural consequence of the measurement itself rather than a criticism of anybody, and it operates on careful, honest people exactly as it operates on anyone else. The everyday version is a school that grades on attendance. Nobody instructed the students to stop thinking, and within a term the whole class optimises for the register.

Who gets asked a question, and in which of the four cases. THE YEAR WENT WELL THE YEAR WENT BADLY CLOSE TO THE COMPOSITE No questions. The composite rose, and so did the portfolio. Still no questions. The composite fell too. FAR FROM IT Questions. Was that a view or was it simply luck? Questions, at length, and in front of the committee. Both cells that produce a conversation sit in the bottom row, and neither cell in the top row does. Constructed illustration of the reflex the measurement creates. It is not a criticism of any manager or committee.
Distance from the benchmark is questioned in both outcomes while closeness is questioned in neither.

What does a mismatch between mandate and benchmark actually cost?

Two things, and the second is the one that stings. The first is a permanent difference in return, priced below as a drag. The second is a permanent contribution to active risk that no decision produced.

Active risk is the volatility of the difference series between the portfolio and its benchmark. Look closely at what feeds that series here. In every single period, 10 points of the Anantara portfolio earn a cash return while the corresponding 10 points of the composite earn a bond return. The cash return and the bond return are not the same in any period, so a difference lands in the series every period, forever, from a bucket the mandate ordered the manager to hold.

What lands in the difference series, period after period. the structural part, in every period, because the mandate requires the cash the decision part, which changes size and side 0 period 1 period 2 period 3 period 4 period 5 period 6 The red bar never goes away and never crosses the line. Active risk is the spread of the two added together, recorded at 3.7 per cent against the composite for the one stated twelve month period. Constructed illustration. The bar heights are drawn to show the shape and no period figure is recorded anywhere.
A required constraint puts a difference into the series every period, so it never averages itself away.

Active risk measures distance and carries no record whatsoever of what put the portfolio there, so the constraint's contribution is charged to the manager anyway. The arithmetic cannot distinguish a constraint from a conviction. Both are simply the portfolio not matching the composite, and both enter the calculation with the same sign and the same weight.

Two very different causes, one indistinguishable measure. The measure records how far, and nothing at all about why. A MANDATE CONSTRAINT 10 per cent cash, required A DECISION TAKEN a deliberate tilt, chosen THE DIFFERENCE SERIES distance only, cause discarded CHARGED TO THE MANAGER EITHER WAY Invented mandate. The point is structural and holds for any portfolio measured this way.
Active risk cannot tell a required constraint apart from a chosen tilt, so both are charged to the manager identically.
Try it out

Part of this portfolio's active risk comes from a cash holding the mandate requires. Who does that part get charged to?

What does the Anantara pairing look like once a price is put on it?

Line the two up bucket by bucket and then price the gap, using the holder's own stated assumptions and labelling them as the holder's own wherever they appear. The Anantara Multi-Asset Portfolio assumes equity returns 12.0 per cent, fixed income 7.5 per cent and cash 6.0 per cent. The endowment chose those three assumptions. Assumptions are not forecasts, not market expectations and not anybody's published estimates, and a different set gives a different answer.

BucketPortfolioCompositeDifference
Equity60.0 per cent60.0 per cent0.0 points
Fixed income30.0 per cent40.0 per centminus 10.0 points
Cash10.0 per cent0.0 per centplus 10.0 points
Total, and the amount displacedRs 500 croreRs 500 croreRs 50 crore

Read that last row carefully. The total row hides a base trap of exactly the kind this area exists to teach. The absolute differences add to 20 points, but that counts the same money twice, once in the bucket it left and once in the bucket it landed in. The amount of the portfolio actually sitting somewhere the composite does not go is 10 points, or Rs 50 crore on Rs 500 crore. The gap is a structural differenceA gap between a portfolio and its benchmark that comes from the way the two were defined rather than from anything a manager chose to do. of 10 points of the whole portfolio, and it exists because the mandate requires it rather than because anybody decided anything.

Why the differences add to 20 points when only 10 points moved. Only the two buckets that differ are drawn. Equity matches at 60.0 against 60.0 and is left out. THE COMPOSITE BONDS 40.0 per cent Rs 50 crore THE PORTFOLIO FIXED INCOME 30.0 per cent Rs 50 crore held as cash, 10.0 per cent ONE MOVEMENT counted as minus 10.0 points in fixed income counted as plus 10.0 points in cash The absolute differences add to 20.0 points, and both of them count the same Rs 50,00,00,000/- once each. Invented mandate. The portfolio actually displaced is 10.0 points of Rs 500 crore, which is Rs 50,00,00,000/-.
The bucket differences add to twenty points because one movement of money is counted at both ends.

Now price it. Holding 10 points in cash rather than in fixed income means 10 points earning an assumed 6.0 per cent instead of an assumed 7.5 per cent, a difference of 1.5 points on a tenth of the portfolio. The arithmetic is 0.10 times 1.5, or 0.15 percentage points a year. On Rs 500 crore that is Rs 75,00,000/-.

From the money displaced to the money it costs in a year. DISPLACED Rs 50,00,00,000/- 10.0 points of the mandate at THE ASSUMED SPREAD 1.5 points a year 7.5 per cent less 6.0 per cent is EXPECTED COST Rs 75,00,000/- 0.15 points a year THE RS 50 CRORE IS NOT LOST. IT IS STILL THERE, EARNING. What the pairing costs is the difference between what it earns and what the composite assumes for it. Confusing the displaced amount with the annual cost overstates the effect by a factor of about sixty seven. Invented figures on the holder's own assumptions, which are choices rather than forecasts, for one stated year.
The displaced Rs 50 crore and the Rs 75,00,000/- annual cost are different quantities and easily confused.

There is a second route to the same number, and it is worth running because it confirms the first. On the holder's own assumptions the policy portfolio at 60, 30 and 10 is expected to return 10.05 per cent. The composite's shape at 60 and 40, priced with those same assumptions, comes to 0.60 times 12.0 plus 0.40 times 7.5, or 10.20 per cent. The difference is 0.15 points, arrived at from a completely different direction.

Each shape built one bucket at a time, on the holder's own assumptions. Equity 12.0 per cent, fixed income 7.5 per cent, cash 6.0 per cent, all chosen by the endowment. 60.0 times 12.0 7.20 30.0 times 7.5 2.25 10.0 times 6.0 is 0.60 THE POLICY PORTFOLIO 10.05 per cent 60.0 times 12.0 7.20 40.0 times 7.5 3.00 THE COMPOSITE SHAPE 10.20 per cent The tops of the two columns differ by 0.15 points which is four units of height here, too little to see, so it is written rather than drawn. The equity segments are identical, so the whole of the difference sits below them: 2.25 plus 0.60 is 2.85, against 3.00. Invented weights and invented assumptions. These are expected figures on stated assumptions, not results.
The whole 0.15 point difference sits in the two lower buckets, since the equity contributions are identical.
The same 0.15 points, reached from the other direction. Both bars use the holder's own assumptions of 12.0, 7.5 and 6.0 per cent. 9.90 10.20 THE COMPOSITE SHAPE 60 equity, 40 bonds 10.05 THE POLICY PORTFOLIO 60, 30 and 10 0.15 points a year on Rs 500 crore, Rs 75,00,000/- SET AGAINST THE YEAR'S 1.6 POINT GROSS EXCESS RETURN the shaded part is 0.15 of the 1.6 points, roughly a tenth of the result The vertical axis starts at 9.90 per cent so that a 0.15 point difference is visible. Invented assumptions.
Two independent routes give the same 0.15 point drag, which is about a tenth of the year's recorded excess return.

The 0.15 points is a drag on the recorded excess return that arrives before the manager does anything at all, and against the year's 1.6 points of gross excess it is roughly a tenth of the whole result. Nobody chose it. The drag cannot be traded away without breaching the mandate. And it is sitting inside every performance figure struck against this pairing.

Then there is the harder consequence, the one that surfaces the moment anybody runs attribution on this pairing. The cash bucket has no counterpart in the composite at all. Computing an allocation effect requires a benchmark return for every bucket, and for cash there is not one, so somebody has to adopt a convention: price the missing bucket at the composite's overall return, or at the bond return, or at the cash return itself. Each is defensible. Each gives a different allocation effect. The convention is a choice, it is usually made once by somebody junior, and it is almost never written down.

Three defensible conventions for a bucket the composite does not hold. THE CONVENTION ADOPTED CASH PRICED AT THAT BUCKET CONTRIBUTES At the composite's own overall expected return 10.20 per cent 0.00 points At the bond assumption 7.5 per cent minus 0.27 points At the cash assumption 6.0 per cent minus 0.42 points Each row is the 10.0 point weight difference times the return assigned, less the composite's own 10.20 per cent. A range of 0.42 points, decided by a convention that is usually chosen once and almost never written down. Computed on the holder's own assumed returns to show the size of the choice. This prices only the bucket with no counterpart, and the other buckets shift with it. It is not the recorded allocation effect of plus 0.35 points for the stated period, and terms belonging to two different splits are never mixed together.
A convention nobody wrote down moves the cash bucket's contribution across a range of 0.42 points.

Close on the honest position rather than a verdict. The Anantara pairing is usable. The composite is specified in advance, investable and measurable. The composite fails the fit question, so every figure struck against it carries a known structural difference that has to be stated rather than quietly removed.

Play with it

Slide the benchmark's cash weight and watch the gap close

The portfolio never moves. The mandate requires 60, 30 and 10, so the portfolio stays there throughout. The composite moves instead: the slider gives it a cash bucket, and its bond weight falls by the same amount so the two sides always sum to 100. Watch three things change together, the shaded band between the columns, the rupee amount displaced, and the expected annual drag on the holder's own assumptions. At a benchmark cash weight of 10 per cent all three reach zero at the same instant. Push past 10 and the sign flips. The portfolio is then the one holding more of the higher yielding bucket.

BENCHMARK CASH 0BENCHMARK CASH 0 PER CENT20
The portfolio is fixed. Only the benchmark moves. PORTFOLIO 60 / 30 / 10 BENCHMARK 60 / 40 / 0 EQUITY 60 BONDS 30 CASH 10 EQUITY 60 BONDS 40 CASH 0 10 points Invented weights and invented assumptions. Nothing here says which benchmark anybody should use.
Benchmark cash
0.0
Gap per bucket
10.0
Displaced
Rs 50,00,00,000/-
Expected drag
0.150

With the benchmark at 60 per cent equity and 40 per cent bonds and no cash, the portfolio sits 10.0 points away in each of two buckets, which displaces Rs 50,00,00,000/- into a bucket the benchmark does not contain, and the expected drag is 0.150 points a year.

Educational illustration. Slide the benchmark, not the portfolio. Every weight belongs to one invented mandate and every return assumption is the invented holder's own choice rather than a forecast. The drag is computed from an assumed 7.5 per cent for fixed income against an assumed 6.0 per cent for cash, on a portfolio of Rs 500 crore.
Try it out

What does the 0.15 point structural drag represent as a share of the year's 1.6 points of gross excess return?

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Who should build the yardstick, and why does it matter?

The answer is short and not complicated. Where the person being measured also chooses the measure, the measure stops being evidence. Not because anybody cheated, but because a number that could have been set differently after the fact carries no information about the thing it was supposed to test.

A custom benchmark is written into the mandate at the outset and dated for exactly that reason, and its construction rules then exist on paper before the period they will judge. A dated construction rule converts the custom form from something only its author can reproduce into something any outsider with the document can rebuild. Dating does not remove the fit advantage. Dating removes the exposure.

Same benchmark, different instrument, and the difference is the date. FIXED AND DATED WHEN THE MANDATE IS WRITTEN benchmark written and dated the year is measured EVIDENCE SETTLED AFTERWARDS, ONCE THE RESULT IS KNOWN THE YEAR IS ALREADY KNOWN benchmark chosen here Where the person measured also picks the measure, the measure stops being evidence about anything. Illustrative. No real mandate, provider or arrangement is described here.
A benchmark dated before the measured period is a different instrument from one settled after the result is known.
India

Where the rules on presenting performance sit

Anything touching how a result is presented to a holder, including what a communication must carry alongside a comparison, is set out by the Securities and Exchange Board of India. The current text is published at sebi.gov.in. Where the mandate is a retirement one, the Pension Fund Regulatory and Development Authority at pfrda.org.in is the authority. Construction rules for any market measure sit with the exchanges, at nseindia.com and bseindia.com. All three texts are revised from time to time, and the version at the source is the one that governs.

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How does a committee actually use this on a Tuesday morning?

One number, computed once, written on the opening sheet of the review pack. Everything above reduces to that single line.

An investment committee like Rukmini Deshpande's asks for the structural difference between the mandate and its composite to be computed before the meeting, in weights and in expected points, and printed at the top of the performance summary rather than in an appendix. For the Anantara Multi-Asset Portfolio that line reads: 10 points of cash the composite does not hold, Rs 50 crore, an expected drag of 0.15 points a year on the holder's own assumptions. The discussion of the manager's year then starts from what is left, the part anybody could actually have influenced.

Same year, same figures, and one line moved to the top. AS THE PACK USUALLY OPENS Portfolio 14.2 per cent Composite 12.6 per cent Gross excess plus 1.6 points Now discuss the manager, with a constraint still folded into the figure. AS IT OPENS ONCE THE GAP IS COMPUTED Structural difference, computed first: 10.0 points of cash the composite does not hold, Rs 50,00,00,000/- Expected drag 0.15 points a year, on the holder's own assumptions Now discuss what is left, which is the part anybody could have influenced. Nothing was recalculated between the two panels. One line changed where the meeting starts. Invented mandate and invented figures, all belonging to the one stated twelve month period. This shows a way of laying out a page and nothing here is a judgement about any manager, any committee or any arrangement.
Computing the structural gap first changes what the meeting is about without changing a single figure.

A return figure struck against a benchmark that fails the fit test is a number about the pairing rather than a number about the manager, so a consultant reviewing an arrangement runs the four questions first and the returns second. A lender or a trustee reading a report asks one question that costs nothing: was this yardstick written before or after the period it is judging, and where is the date?

A household does the identical work without any of the vocabulary. Someone comparing their savings against a cousin's is running a peer comparison, with all three faults intact: the cousin's result was not available to be chosen, the cousin they compare against changes with the year, and the relatives who did badly are not talking about it. Someone comparing their savings against a deposit rate they could genuinely have taken is running a proper benchmark. The second comparison is worth having precisely because it was available in advance, and the first one feels more informative while saying almost nothing.

The same four tests, run on a kitchen table. AGAINST WHAT A COUSIN MANAGED AGAINST A DEPOSIT RATE THAT WAS AVAILABLE Specified in advance No. Nobody knew in April whose result would be used. Yes. It was on the board in April. Investable No. A relative cannot be bought. Yes. It could have been taken. Measurable by the saver No. The statement is never seen. Yes. The rate was published. Matches what the saver was able to do No. Different income, different obligations, different year. Yes, as far as it goes. The comparison on the left feels far more informative and answers nothing that could have been acted on. An everyday illustration.
The everyday comparison people reach for first fails all four tests the same way a peer benchmark does.

The error that gets made, and what it costs

An investment committee reviews a year in which the portfolio trailed its composite benchmark and concludes, reasonably enough, that the manager underperformed. Everyone in the room is sincere. The arithmetic in front of them is correct.

But the mandate requires a 10 per cent cash holding and the composite contains none, so a fixed part of that shortfall was written into the pairing before the year began. The same shortfall would have appeared under any manager at all, including one who did nothing whatsoever for twelve months. The committee is measuring a constraint it imposed itself and calling it a decision somebody else took.

The cost is real and it lands in three places. The wrong person is answering for the result. The constraint that actually produced it goes unexamined and is still there next year. And the fastest way to make the number look better is to breach the mandate, so the measurement is quietly pushing against the very rule the holder wrote to protect itself.

The fix is unglamorous and takes an afternoon once. Compute the structural difference between the mandate and the benchmark, write it down, date it, and subtract it before anybody is asked to explain the rest of the gap.

The subtraction definition stands against the two readings it displaces.

One figure, three ways of reading it, and only one that holds. The composite returned 12.6 per cent READ AS A TARGET Beating it becomes the aim. A brutal year then makes every sensible portfolio a failure at once. READ AS A STANDARD Falling short becomes a verdict on the manager, whatever the mandate required them to hold. READ AS A SUBTRACTION It is the alternative that needed no decisions, so what is left after taking it away is about the manager. The figure is identical in all three panels. What changes is what the reader believes it was for. Invented composite, invented figure, one stated twelve month period. No result here is evidence about anybody.
The same benchmark figure supports three readings, and only the subtraction survives a difficult year.
Try it out

The last one, and the sentence everything above rests on. Is a benchmark a target the portfolio ought to be trying to beat?

How to measure the distance between a portfolio and its benchmark, either as a difference in weights or as a difference in returns, is covered separately. The weight based measure set out by K. J. Martijn Cremers and Antti Petajisto, and the return based one, are covered separately, and academic work on either is located through ideas.repec.org. How a market measure is built and maintained is published by the exchanges at nseindia.com and bseindia.com. Attribution against a benchmark is covered under performance attribution. Pooled vehicles and private structures are covered separately.
The structural difference sits at the top. See what the benchmark already assumes.

References

SourceDocumentWhere
Securities and Exchange Board of IndiaThe current text on how performance is presented to a holdersebi.gov.in
Pension Fund Regulatory and Development AuthorityThe authority where the mandate is a retirement onepfrda.org.in
National Stock Exchange of IndiaWhere construction rules for market measures are publishednseindia.com
Bombay Stock Exchange (BSE)Where construction rules for market measures are publishedbseindia.com
Academic work on measures of distance from a benchmarkWorking papers and articles on measures of distance from a benchmarkideas.repec.org

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.

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