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Derivatives, Hedging & Structured Products
1Derivative Fundamentals
DerivativesLong PositionMark to MarketThe UnderlyingThe Derivative ContractHow Derivatives Transfer Financial…
2Forwards and Futures
The Futures ContractLong and Short PositionsThe Spot PriceThe Forward ContractSpot Price vs Forward PriceThe Futures PriceForward and Futures PositionForward vs FuturesHow to Read Futures Margin and Mark-to-MarketHow Futures Margin and Mark-to-Market WorkDeliveryRolloverOpen InterestOpen-Interest ChangeBasis vs Basis RiskHedge Ratio vs Hedge Effectiveness
3Options
OptionsThe Call OptionThe Strike PriceThe Put OptionOption DeltaOption Buyer and Option WriterCollar and Protective PutCall and Put OptionsHow to Map What…How to Take an…Exercise Price and Strike PriceOption Price DriversThe Expiration DateIntrinsic Value and Time Value
4Option Strategies and Payoffs
Option SpreadsOption PayoffVertical and Calendar SpreadsHow to Map an Option PayoffMaximum GainThe Iron CondorThe Covered CallMaximum LossStraddle and Strangle
5Volatility and the Greeks
The Implied Volatility SurfaceThe Option GreeksHow an Option Payoff…What an Implied Volatility…How Delta, Gamma, Theta…How Option Volatility Surfaces…Delta HedgingTime DecayHistorical VolatilityImplied Volatility vs Historical Volatility
6Swaps and Rate Derivatives
The Interest Rate SwapSwap Rate and Forward RateThe SwapThe Currency SwapInterest Rate Swap and Currency SwapThe Payment DateThe Reset DateThe Swap CurveThe Swap Payment CalculatorHow to Map a…Cross-Currency BasisDay Count ConventionsDerivative and UnderlyingExchange Traded and Over the CounterFixed Leg and Floating LegHow to Read a Derivative ContractHow to Map a Derivative ExposureHow to Read Derivatives Market DataHow to Map Derivative…How to Write a Derivative Research NoteHow to Run a…How to Maintain a Derivatives Decision Log
7Hedging Application
The HedgeHedge RatioHedge or SpeculationFraming a Hedge ObjectiveExposureOffsetBasis RiskHedge Risk or Counterparty RiskThe Hedged Item
8Structured Products
What a Structured Product IsStructured Product and Mutual FundHow to Take a…Participation RatePrincipal Protection and Capital Guarantee
9Clearing, Margin and Settlement
The Settlement PriceThe Three MarginsInitial, Variation and Clearing MarginPhysical and Cash SettlementHow a Position Moves…Market SurveillanceCounterparty RiskNettingNetting and SettlementPosition LimitsPosition Limits and MarginMarket ManipulationHow Corporate Actions Can…
10Derivatives Discipline and Cases
Derivative ResearchOpen Interest DataPost-Mortem and Performance Marketing,…Market Observation and Trade SignalScenario Analysis and ForecastReading Derivatives Data When…What a Derivatives Post-Mortem…

Open-Interest Change: Reading a Movement in the Count

The tool takes the count of outstanding contracts at a later moment, subtracts the count at an earlier one, and reports what is left as a count and as a proportion of the earlier count. The subtraction does not say who created or ended anything, it does not separate what was made from what was ended, and it attaches no meaning to any price sitting beside it.

Work it out

Set who traded with whom, and the movement in the count comes out of it

Put in the count standing at the earlier moment, the tally of contracts dealt between the two moments, and how those dealings split across the four ways a buyer and a seller can meet. The panel gives each kind of dealing its effect on the count, adds the four together, and reports where the count finishes. Nothing typed here is stored or sent anywhere.

Or jump straight to a setting worth seeing:

HOW THE DEALINGS SPLIT, AND WHAT ONE CONTRACT OF EACH DOES TO THE COUNT NEW BUYER, NEW SELLER +1 20 NEW BUYER, LONG CLOSING 0 0 SHORT CLOSING, NEW SELLER 0 0 BOTH SIDES CLOSING −1 20 THE COUNT AT THE TWO MOMENTS EARLIER MOMENT 40 LATER MOMENT 40 THE MOVEMENT IN THE COUNT, A COUNT OF CONTRACTS NO MOVEMENT AT ALL CONTRACTS DEALT 40 Bar lengths run to the largest figure in their own group. The chip beside each row is what one contract of that kind does.
How the buyer and the seller metContractsEach doesContributes
A new buyer with a new seller, both opening20plus 1plus 20
A new buyer taking the contract off an existing long0nilnil
An existing short buying back from a new seller0nilnil
An existing long closing against an existing short20minus 1minus 20
Contracts placed in a row, and what they add to40nil
Count at the earlier moment40
plus the movementnil
gives the later count40
The movement, a count
Nil
Against the earlier count
Nil
Contracts dealt
40
Which way it went
Did not move

The count did not move: forty contracts outstanding at the earlier moment and forty at the later one. Forty contracts were dealt to arrive at that, so the stretch was not a quiet one. Twenty obligations were created and the same number were cancelled, and the two sides of that cancel exactly.

The four dealing rows add to forty contracts, which is exactly the tally.

The reading this setting invites, and why it does not followA flat count read as a stretch on which nothing happened. Forty contracts were dealt to produce it, and a report carrying only the movement would have hidden every one of them.

Educational illustration. The panel opens on an invented count of forty contracts and an invented split of dealings, and anything typed over them is supplied by the reader. Every count in this panel is supplied by the reader or picked for teaching, and a count is not a reason to take or close a position. One contract stands over one unit of the referenced thing, which is a teaching simplification. The panel reports a count of contracts and a proportion of a count, and never a price, a payoff or a profit. The Securities and Exchange Board of India (SEBI) settles what is published, by whom, and at which instant of the day, at sebi.gov.in.

At the setting the panel opens on, the count at the earlier moment is forty contracts and forty contracts are dealt between the two moments. The forty contracts dealt split as twenty struck by a new buyer with a new seller, none in which a buyer took the contract off an existing long, none in which an existing short bought back from a new seller, and twenty closed by an existing long against an existing short. Twenty contributions of plus one and twenty of minus one add to nil, so the later count is forty as well: the same count at both ends, with forty contracts dealt in between. Where both counts are already to hand the panel is unnecessary and the subtraction is the whole job, but the tally on its own will not say which of the four rows produced it.

Try it out

Set the panel so that every contract dealt takes a holding off somebody and hands it to somebody else, with nothing struck fresh and nothing closed out. What does the count do?

Two counts taken at two stated moments differ by a number, and that number is arithmetic and nothing beyond it. Almost everything below is about what has to be true of the two counts before the subtraction is worth doing at all, and about the things the answer cannot be asked to carry once it exists.

A left-luggage counter at a railway station holds forty bags at eight in the morning and forty bags again at eight at night. The board on the wall says, quite truthfully, that the number did not move. The board does not say that twenty travellers came back for their bags during the day and twenty fresh bags were handed across the counter, so forty separate movements passed over that desk while the number on the board sat still. Somebody reading only the board has read a real fact and drawn a false conclusion from it, and the whole of this guide lives in the gap between those two things.

What does this tool work out, and what will it not touch?

The tool works out one difference. Take the count of contracts outstandingStill standing, in the sense that nobody has yet cancelled it. An obligation is outstanding from the moment it is struck until the day it settles or is closed. on one contract description at a later moment, take the count on the same description at an earlier moment, and subtract the second from the first. The subtraction is the entire computation. Everything else is surrounding discipline: what the two counts must have in common, what name the output is allowed to carry, and what a reader must not do with it afterwards.

A tool worked past the point where it stops still returns a number and gives no sign that it has, so the edges matter more than the arithmetic. Three questions are put to a change in open interest constantly, and this tool answers none of them.

The tool will not identify who created or ended a position. The count adds up obligations rather than the parties standing behind them: forty outstanding contracts might be held between eighty participants or between two, and the count reads forty either way.

The tool will not separate the obligations created from the obligations extinguished. The count reports a netA figure left standing after opposing movements have cancelled each other. Two numbers go in and one comes out, and the one that comes out cannot be taken apart again. figure, and a net figure has already thrown away the two numbers it was built from.

And it attaches no meaning at all to a price movement sitting beside the change. The refusal is structural rather than cautious: block seven works out exactly what would have to exist before such a reading could be attempted, and the material is not here.

THE WHOLE COMPUTATION LATER COUNT FORTY ONE − EARLIER COUNT FORTY = THE CHANGE, A COUNT PLUS ONE AND THE THREE QUESTIONS IT WILL NOT ANSWER WHOSE OBLIGATION? The count adds up duties, not the parties who hold them, so no name can be read out of a difference between two of them. MADE OR ENDED? One net number arrives where two gross ones went in, and the pair cannot be rebuilt from the single figure that survived. WHAT ABOUT THE PRICE? Pairing a count with a price needs a run of each and a rule that has been tested, and block seven shows the shelf is bare. Both counts are invented for teaching. The three lower cards are refusals, not warnings.
The subtraction occupies one row of this drawing and the refusals occupy three cards, which is roughly the proportion in which the two deserve a reader's attention.
Try it out

A change of plus one contract has just been computed. Which of these does the tool decline to supply?

Where does each of the two counts come from?

Each input on this tool carries a field noteA line beside an input naming the document the number is read off. Provenance is all it carries; what to make of the number is somebody else’s line., and a field note does exactly one job: it says which document the figure is read off and stops there. A note that starts interpreting, or that starts saying what a high or low reading would mean, has stopped being a note about provenance.

The earlier count is read off the published count for that contract at that moment. The earlier count is never worked backwards from activity. The count is produced by the clearing corporation out of netted positions, and there is no route from prices, from turnover, or from anything visible on a screen to the figure the clearing corporation arrives at. A figure that has not been read off the publication is a figure nobody has.

The later count comes from the same source, on the same contract descriptionThe full set of particulars pinning down which contract is being counted: what it references, how much of it, and the date it runs to. Two counts belong to one description or they belong to nothing., taken at the same instant of the day. The matching instant is the condition that gets dropped, and dropping it silently destroys the answer. Two counts read at two different instants of the day are measurements of two different quantities, and their difference is not a change in anything. The answer is a subtraction that happens to be arithmetically valid.

The contracts dealt between the two moments is read off the trade tally. The tally never enters the subtraction and is no part of the movement; the panel above carries it only to check that the four dealing rows account for everything the tally counted.

SEBI settles what open interest is published, by whom, and at which instant of the day, at sebi.gov.in. The field notes name that authority and print no value.

THE THREE INPUTS, AND WHERE EACH IS READ OFF THE EARLIER COUNT Read off the published count for that description at that moment. Published by whom, and at which instant: SEBI, sebi.gov.in THE LATER COUNT Same source, same description, same instant of the day. Which instant that is: SEBI, sebi.gov.in TRADES IN BETWEEN Optional. Read off the trade tally, and kept out of the subtraction. Carried only to show what a tally cannot settle. BEFORE ANY SUBTRACTION MEANS ANYTHING, ALL THREE MUST MATCH One description. One publisher. One instant of the day. Miss the third and it is not a change. Each green box names its authority and carries no figure, because the figure is settled elsewhere.
Every box on this drawing names a source and leaves the value out, which is the shape a field note takes whenever the number belongs to somebody else.
Try it out

Two counts on the same contract were taken at different instants of the day. Is the difference between them a change?

How is the change actually worked, and what kind of figure is it?

The base this guide works on is forty contracts outstanding, invented for teaching so that the arithmetic has something solid to move against, and labelled that way beside every field it appears in. One contract stands over one unit of the referenced thing, which is a teaching simplification of the same order: the quantity a single contract is written over is decided by SEBI at sebi.gov.in, and an invented quantity there would invent the size of the whole answer.

Work the three cases against that base and the arithmetic is over in three lines. Forty one against forty gives plus one, one obligation standing today that was not standing before. Thirty nine against forty gives minus one, one obligation extinguished. Forty against forty gives nil, and block four is about how much that nil can hide.

The relationship
$$ \Delta = C_{1} - C_{0} \qquad\qquad p = \frac{\Delta}{C_{0}} $$
C0the count outstanding at the earlier moment, read off the published count
C1the count outstanding at the later moment, same description, same instant of the day
Δthe change, which is a count of contracts and carries a sign
pthe change set against the earlier count, reported as a proportion
What it says in wordsThe change is the later count with the earlier count taken off it, and the proportion is that change measured against the earlier count, so one contract on a base of forty reports as 2.5 per cent.

The output is a change in a count of contracts, and nothing else. A change in a count is not a price, a premium, a payoff or a profit, and it is not an amount of money in any sense, so the result carries the word contracts on its face.

Everything this tool prints is a count or a proportion of a count, and that is worth settling before any rupee appears beside it. A price is whatever somebody agreed or quoted, so the spot figure of Rs 2,000.00/- and the agreed figure of Rs 2,130.00/- are both prices. A premiumMoney paid up front to acquire a position. It belongs to a different kind of contract entirely, and no such payment exists anywhere in this arrangement. is money handed over to take a position, and neither side of a future hands over any, so no premium exists anywhere in this arrangement. Payoff and profit, on a contract struck at the agreed price with nothing paid at the start, walk to the same figure together. The change of plus one contract is none of the four.

Quantities carry their own label too, and block five works out the two that a moving count sits over: exposure, and notional.

The proportion is printed beside the change for a reason a single figure cannot supply. One contract added to a base of forty is 2.5 per cent of that base, and the identical one contract added to a base a thousand times larger is a rounding error. The change on its own cannot tell those two situations apart, so the tool never shows it alone. Move the baseThe figure a proportion is struck against. Move the base and the same proportion stops carrying the same weight. and the same signed number stops carrying the same weight entirely.

EARLIER MOMENT FORTY LATER MOMENT FORTY ONE PLUS ONE CONTRACT 2.5 per cent of forty AND FOUR THINGS THAT PLUS ONE IS NOT NOT A PRICE nothing was quoted NOT A PREMIUM nothing was paid in NOT A PAYOFF nothing has settled NOT A PROFIT nothing was earned A base of forty, invented for teaching. The output carries the word contracts on its face.
Two counts stay on the drawing beside their difference, so the plus one is read as the distance between two numbers rather than as a quantity standing on its own.
Try it out

The tool returns plus one. Which of the four labels this platform insists on belongs to that figure?

The five settings, set out as a table

Four things can happen when one contract trades, and a fifth thing can happen instead: nothing trades at all. Setting the five out together is the fastest route to what matters.

What happened between the two momentsEarlierLaterChangeAgainst the baseTraded
A new pair struck, both sides opening4041plus 1plus 2.5 per cent1
An existing pair closed, both sides shutting4039minus 1minus 2.5 per cent1
The buyer replaced, the seller staying put4040nilnil1
The seller replaced, the buyer staying put4040nilnil1
Nothing traded at all4040nilnilnil

Read down the change column and three of the five rows are identical. Read down the traded column and one of those three separates itself from the other two. The two transfer rows never separate at all: they agree on the count, they agree on the proportion, and they agree on the tally, so no arrangement of these three columns will ever tell them apart. The overlap is not a defect in the tool. The overlap is a fact about what a count can carry.

FIVE SETTINGS, ONE BASE THAT NEVER MOVES NEW PAIR both sides opening 40 41 CHANGE +1 plus 2.5 per cent TRADED 1 created PAIR CLOSED both sides shutting 40 39 CHANGE −1 minus 2.5 per cent TRADED 1 extinguished BUYER REPLACED seller staying put 40 40 CHANGE NIL nil TRADED 1 transferred SELLER REPLACED buyer staying put 40 40 CHANGE NIL nil TRADED 1 transferred NO TRADE nothing dealt 40 40 CHANGE NIL nil TRADED NIL nothing moved The two transfer columns agree on every row printed here, and no fourth row would separate them.
Three of the five columns print the same change, the tally cuts one of those three away from the other two, and the middle pair stay identical all the way down.
Try it out

Reading only the change column, how many of the five settings can be told apart from one another?

What can a change of nil be hiding?

The subtraction is worth setting out at length rather than leaving as mental arithmetic. The count read forty at the earlier moment and forty at the later one. Does that settle that nothing happened?

Try it out

Forty at both moments, so the change is nil. Has the day been an empty one?

A net change of nil sits equally comfortably on a stretch when nothing at all occurred and on one when a great many obligations were created and exactly as many were extinguished, and the count has no way of separating the two. Twenty fresh pairs struck between the two moments, each adding an obligation that did not exist before, against twenty existing pairs closed out over the same stretch, each removing one that did, leave the count at forty on both readings, the change at nil, and forty contracts dealt while that nil was forming.

Notice the numeral that turned up twice. Forty contracts dealt and forty obligations standing at both ends are unrelated quantities that print the same digits only because this illustration picked twenty creations against a base of forty. The repeated forty is a coincidence of invented figures, not a relationship.

The general form matters more than the instance. A net figure cannot be decomposed into the gross movements it came from, and no tool anywhere recovers two numbers from the one number they were added into. The subtraction necessarily throws information away, and what it discards is precisely what a reader most wants. The instinct on meeting a nil is to conclude quiet, and quiet is one of several possibilities the reading cannot rank.

The trade tally is the only figure available that shows whether anything was dealt, and even the tally will not say which of the four events produced it. A tally of one is consistent with a creation, an extinguishment, a buyer being replaced or a seller being replaced. VolumeHow many contracts were dealt across a stretch of time. The stretch of time is what separates it from anything counted at a single instant. is measured across a stretch of time and the count is measured at an instant, so the two are answering different questions and neither completes the other.

EARLIER MOMENT: FORTY OUTSTANDING LATER MOMENT: FORTY OUTSTANDING TWENTY CREATED TWENTY EXTINGUISHED NET: NIL CONTRACTS DEALT FORTY across the stretch Both bars stand for twenty obligations at the same scale, so the two cancel exactly at the rail. The forty dealt and the forty outstanding are different quantities sharing a numeral by chance.
Two full bars meet at the rail and leave nothing standing, which is the picture that stops a nil being read as a day on which nobody did anything.
Derivatives Foundation Bootcamp — Fin Maverick

What does one contract of change stand on?

A change of plus one contract is a count, and a count sits over quantities that are not counts. The figures involved look similar and mean entirely different things, so keeping the two apart is the whole discipline of this block.

One of the two quantities is built on the agreed price, so start there. The money tied up in one unit of the referenced thing costs 6.50 per cent a year to keep tied up, and that accrual comes to Rs 130.00/- across twelve months, with nothing flowing back in from the referenced thing to set against it. Stack that accrual on the spot price of Rs 2,000.00/- and the agreed price lands at Rs 2,130.00/-. The agreed price is a cost carried forward, not a forecast of where anything is going.

Now the two quantities, and they must never be reported as one. One contract of change adds Rs 2,000.00/- of exposure, measured at the spot price, and it adds Rs 2,130.00/- of notional, measured at the agreed price. The gap between them is Rs 130.00/-, the same accrual arriving in a different costume. Thirteen two-hundredths of Rs 2,000.00/- is Rs 130.00/-, and that is the whole of the distance between the two numbers.

Not one rupee of that Rs 2,130.00/- of notional moves on the day the obligation comes into being. Notional is a multiplier against which a settlement is later worked out; it is not an amount that changes hands, and treating it as one overstates what has happened by an enormous margin. Initial margin is what actually leaves somebody's account: Rs 160.00/- against one unit, struck at 8.0 per cent of the Rs 2,000.00/- exposure. The 8.0 per cent is a teaching figure. Real margin is set by clearing corporations under rules SEBI writes at sebi.gov.in, and it moves with the contract, the participant and the day.

Set the three against each other and the shape appears. Rs 2,130.00/- reported, Rs 2,000.00/- referenced, Rs 160.00/- actually posted. Report only the first and the arrangement looks more than thirteen times the size of the collateral behind it; report only the third and what the obligation reaches over has been understated. The tool reports a count first and prints no rupee figure without naming which of the three it is.

ONE CONTRACT, THREE FIGURES, ONE RUPEE SCALE NOTIONAL at the agreed price Rs 2,130.00/- EXPOSURE at the spot price Rs 2,000.00/- MARGIN POSTED invented 8.0 per cent Rs 160.00/- Of the three bars above, only the margin posted is money that actually leaves an account on the day. The gap at the right ends of the top two bars is Rs 130.00/-, the accrual, drawn to the same scale.
Three lengths on one rupee scale keep the reported figure, the referenced figure and the posted figure from being collapsed into a single number.
Try it out

The count rises by one contract. What has been added, and what has actually moved?

Risk Management Program Bootcamp — Fin Maverick

Why does a contract’s count drain away as its last date nears?

A reader watching one contract in its final stretch sees the count fall steadily and reaches for an explanation involving people leaving. The mechanical explanation is duller and it is the correct one.

Positions in the contract about to finish are shut or rolled into a contract that runs further out, and a rollShutting a position in the contract about to finish and opening the matching one in a contract that runs further out. A pair of dealings, not a lengthening of one. is a pair of dealings rather than the lengthening of one. Nothing about the original obligation is extended. The obligation is ended in the near contract and a fresh one is created in the later contract, so one count goes down by one while another count goes up by one at the same moment.

A fall in one contract’s count as its last date approaches can be accounted for entirely by obligations arriving in a different contract, so the change measured on one contract alone will overstate how much has actually gone. The number is correct. The reading laid over it is not. Somebody watching a single contract has seen a position move and has recorded it as a position gone.

The period over which positions shift from the near contract into the next one is set by the exchange under rules SEBI writes at sebi.gov.in.

ONE OBLIGATION, TWO CONTRACTS, TWO COUNTS MOVING THE NEAR CONTRACT its last date is close COUNT FALLS BY ONE THE LATER CONTRACT it runs further out COUNT RISES BY ONE ONE OBLIGATION CROSSES Two dealings, not one obligation stretched further out Read the left box alone and one departure is recorded where one relocation actually took place. The period over which this shifting happens comes from SEBI, sebi.gov.in, and is not written here.
One arrow crosses between two boxes and both counts move at once, which is what a fall in a near contract looks like when both contracts are in view.
Try it out

A contract’s count falls sharply as its last date comes near. What is the first thing to check?

Bond Pricing and Yield Mechanics — free micro-course from Fin Maverick

Can the change be read beside the way the price moved?

Pairing a change in the count with a price movement is the question the tool is asked most often and the one it refuses hardest, so the refusal is worth stating as a structural fact rather than as caution. The material simply is not present.

A reading that pairs a change in the count with a price movement needs three things: a run of prices, a run of counts taken at matching moments, and a rule joining the pair that somebody has actually tested. A seriesA run of readings of the same quantity, recorded at spaced moments. One reading at one moment is not a short series; it is not a series. is a run of readings of the same quantity at spaced moments, and the two runs have to be aligned moment by moment or the pairing is comparing a Tuesday reading with a Thursday one. The rule is the part people skip: even with both runs in hand, some statement connecting them has to have been proposed, checked against evidence and survived the check.

None of the three is present. There is one invented base of forty at one invented moment, and a later count supplied by working the controls above. A count that was chosen rather than measured cannot carry a statement about what anybody did.

And the refusal survives the obvious repair. Suppose both runs were handed over complete tomorrow. Even then there would be no probability, no distributionA statement of how often each possible value turns up. Nothing on this platform holds one for anything that trades. and no realised outcome, so what any pairing makes likely still could not be said. The tool prints the subtraction in that space, the proportion beside it, and a plain sentence naming what has not been established.

WHAT THE FOUR BOX READING WOULD NEED, AND WHAT IS HERE A RUN OF PRICES NOTHING IS PLOTTED ON THIS TRACK A RUN OF COUNTS NOTHING IS PLOTTED ON THIS TRACK A TESTED RULE NO RULE HAS BEEN PROPOSED OR CHECKED HERE The shading carries no value. It marks a region where a record would sit if this one held it.
Two tracks and a rule plate stay empty on purpose, which states the absence more exactly than a sentence about limitations manages to.
Play with it

Step through the five things that can happen, against a base that never moves

The control below moves the event and holds everything else still. The control steps rather than slides: the count moves in whole contracts, and half a contract is not a quantity anybody can hold. The earlier count stays at forty, invented for teaching, at every setting.

FIRST SETTINGSET AT: A NEW PAIR STRUCKLAST SETTING
EARLIER COUNT, INVENTED LATER COUNT FORTY FORTY ONE THE CHANGE, A COUNT PLUS ONE CONTRACT plus 2.5 per cent of forty ONE OBLIGATION joins the stack CONTRACTS TRADED BETWEEN THE TWO MOMENTS ONE CONTRACT EVERY SETTING, WITH THE CURRENT ONE RINGED NEW PAIR PAIR CLOSED BUYER REPLACED SELLER REPLACED NO TRADE
Earlier count, invented
Forty
Later count
Forty one
The change, a count
Plus one contract
Against the earlier count
Plus 2.5 per cent
Contracts traded
One

A new pair struck between the two moments takes the count from forty to forty one, a change of plus one contract, which is 2.5 per cent of the earlier count, while the trade tally shows one contract traded.

Educational illustration. Not a count taken from any market and not a suggestion to take or close any position. One contract stands over one unit of the referenced thing, which is a teaching simplification. The earlier count of forty was picked for teaching. Spot price Rs 2,000.00/-, financing 6.50 per cent a year, and the reference asset throws off no income at all, so there is nothing to net against. The output is a count and a proportion of a count, and it is not a price, not a payoff and not a profit. Step to the third setting and then the fourth: those two states print identically on every line shown here, and nothing this tool prints will separate them.
Try it out

The count rose while the price rose over the same stretch. What has that established?

The error that gets made, and what it costs

A tool returning a signed number invites this harder than prose ever does. The reader takes the change, sets it beside whichever way the price went that day, and reads a conclusion off a grid of four boxes: a rising count with a rising price becomes fresh positions taken in one direction; a falling count with a rising price becomes positions being abandoned; and so on around all four corners.

The reading does not follow, and there are two reasons. First, the count cannot be taken apart. A change of plus one is the net of everything created against everything ended, so it identifies no side, no party and no motive, and block four showed twenty creations against twenty closings leaving a change of nil with forty contracts dealt in between. Second, and this is the half a reader cannot escape by hunting for a better number, the reading needs two runs of readings and a rule joining them that somebody has checked. The material above holds one invented base at one moment.

Who walks into it: readers who meet the four box grid before they meet the definition of the count, and that is the ordinary order in which people meet the two. What it costs: a mechanical subtraction gets dressed up as evidence about other people’s intentions, and then somebody acts on it.

The quieter half of the same failure is the one block six catches. A fall in a near contract’s count gets recorded as positions leaving, when a roll ends an obligation in one contract and creates one in another. The reader has watched something relocate and has written down that it disappeared.

The change beside a price move supports nothing. See what open interest carries.

Who opens what next, once the change is on the screen?

Nobody stops at the change. The useful question is which document each reader opens next, and the four answers do not overlap at any point.

A clearing memberThe participant who faces the clearing corporation on somebody else’s behalf, and who is answerable for the collateral behind those positions. watching the count on one contract rise opens the collateral file next. A count is not a rupee figure and a count that has moved says nothing at all about what has been called in, so the change is a prompt to go and look rather than an answer.

Somebody following a contract into its final stretch opens the count on the contract that runs further out. Block six is the whole of the reason, and skipping that second document is what turns a relocation into a disappearance in a set of notes.

A treasurer carrying a position of their own opens their own position record. The published count adds up everybody’s obligations on that description and their own share does not appear anywhere in it, so nothing about their own exposure can be read out of a change that moved.

A household reading a change in a newspaper opens nothing at all, and that is the correct move rather than a failure of curiosity. The change describes obligations that other people are carrying, and it says nothing whatever about the money in that household’s account. Knowing that is worth more than any reading of the figure would be.

India

What Indian rules require

What open interest is published, by whom, and at which instant of the day. SEBI settles this one, at sebi.gov.in. The instant is the part that catches people: a figure read at one moment of the day and a figure read at another are measurements of two different things.
How much of a single contract one participant may carry. SEBI fixes the ceiling, at sebi.gov.in.
The size of one contract and the quantity of the referenced thing it stands over. SEBI decides it, at sebi.gov.in. One unit a contract, used in every sum above, is a teaching simplification.
The dates on which a contract stops trading, and the calendar those dates run on. SEBI writes both, at sebi.gov.in. The calendar is the half readers forget, and a date is only as good as the calendar it is counted on.
The period over which positions shift from one contract into the next. SEBI rules on it, at sebi.gov.in. Block six leans on that period without measuring it, and leaning without measuring is the only honest way to use a figure settled elsewhere.

Each figure named above has a current version, and the authority printed inside the row is where that version is published.

The 8.0 per cent initial margin used in the arithmetic above this block is a teaching figure with no regulatory standing, so it appears in none of the five rows above.

Should a moving count change what is held?

The subtraction now works, and the next question is whether a rise or a fall ought to change what is held. A change in a count does not answer that. Answering it would mean knowing why the position was taken in the first place, and what else is already standing against it, and how much collateral has gone out of the door, and what falls due on the day the money actually moves. None of those four is in this record, and the first two are not the kind of thing any record could hold about somebody else.

The second reason is the harder one. The material carries no realised outcome, no track record, no probability and nothing resembling a distribution, so what a moving count does for anybody cannot be said. Watching which way a count went has never on its own been a reason to go with it.

Two subjects sit close enough to this one to be worth pointing at. The count itself, and the four events that move it, are covered separately, and this calculator assumes the whole of it. Shifting a position out of one contract and into a later one has its own treatment; it turns up here only as the reason a near contract drains. The obligations a futures contract creates, and the collateral posted daily against them, are each worked on their own. Whether a change makes anything more likely is treated nowhere, for the reason block seven gives.

Sources

SourceDocumentSite
SEBIWhat open interest is published, by whom, and at which instant of the daysebi.gov.in
SEBIThe limit on how much of a single contract one participant may carrysebi.gov.in
SEBIContract size, and the quantity of the referenced thing one contract stands oversebi.gov.in
SEBIThe dates a contract runs to, and the calendar those dates are counted onsebi.gov.in
SEBIThe period across which positions shift from one contract into the nextsebi.gov.in

The referenced thing, the base of forty contracts and the 8.0 per cent initial margin are invented.
Educational material. Not advice on any investment, tax, budget or market position.

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