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.
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 buyer and the seller met | Contracts | Each does | Contributes |
|---|---|---|---|
| A new buyer with a new seller, both opening | 20 | plus 1 | plus 20 |
| A new buyer taking the contract off an existing long | 0 | nil | nil |
| An existing short buying back from a new seller | 0 | nil | nil |
| An existing long closing against an existing short | 20 | minus 1 | minus 20 |
| Contracts placed in a row, and what they add to | 40 | nil |
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.
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.
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.
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.
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.
| C0 | the count outstanding at the earlier moment, read off the published count |
| C1 | the count outstanding at the later moment, same description, same instant of the day |
| Δ | the change, which is a count of contracts and carries a sign |
| p | the change set against the earlier count, reported as a proportion |
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.
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 moments | Earlier | Later | Change | Against the base | Traded |
|---|---|---|---|---|---|
| A new pair struck, both sides opening | 40 | 41 | plus 1 | plus 2.5 per cent | 1 |
| An existing pair closed, both sides shutting | 40 | 39 | minus 1 | minus 2.5 per cent | 1 |
| The buyer replaced, the seller staying put | 40 | 40 | nil | nil | 1 |
| The seller replaced, the buyer staying put | 40 | 40 | nil | nil | 1 |
| Nothing traded at all | 40 | 40 | nil | nil | nil |
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.
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?
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.
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.
The count rises by one contract. What has been added, and what has actually moved?
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.
A contract’s count falls sharply as its last date comes near. What is the first thing to check?
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.
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.
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.
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.
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.
What Indian rules require
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.
Sources
| Source | Document | Site |
|---|---|---|
| SEBI | What open interest is published, by whom, and at which instant of the day | sebi.gov.in |
| SEBI | The limit on how much of a single contract one participant may carry | sebi.gov.in |
| SEBI | Contract size, and the quantity of the referenced thing one contract stands over | sebi.gov.in |
| SEBI | The dates a contract runs to, and the calendar those dates are counted on | sebi.gov.in |
| SEBI | The period across which positions shift from one contract into the next | sebi.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.
