Long Position: What Being Long Actually Obliges You To

Being long a derivative means holding the side that gains as the referenced price rises, and nothing more than that. The obligation depends on which contract was written. A long forward binds the holder to trade at the agreed price whatever happens. A long option binds nobody: the holder may walk away, and the premium already paid is what that choice cost.

Somebody says they are long. The claim sounds like a statement about where the price is going, and almost everybody hears it that way the first time. The claim is nothing of the kind. The word names which side of a contract a person sits on, and by itself it says nothing whatever about what they have promised, what they may decline, or what leaves their hands and when. Two contracts can put a holder on the same side and hand them two completely different obligations, and this guide is about the distance between them.

What does the word long actually name?

Here is the whole definition, and it is shorter than most people expect. To be longThe side of a contract that gains as the referenced price rises. Long names a side, not a belief. is to hold the side of a contract that gains as the referenced price rises. That is it. There is nothing else in the word. The word describes no mood, reports no view, and commits nobody to an opinion about the future. Long is a label for a position in a two sided arrangement, in the same way that the word tenant labels one end of a lease without saying anything about whether the person wanted to move.

Long names which end of a contract a holder sits on, and it never names why they are sitting there. Facing every long position there is a shortThe side that faces the long side and gains as the referenced price falls. Every long position has one facing it. one, held by somebody who gains as the referenced price falls, and the two together are the single promise seen from either end. Notice that this arrangement can exist without anybody having a view at all. Somebody has to be on each side for the contract to exist, and the reason each of them is there belongs to them and never appears in the document.

The clearest version of this is a household. Take that one first. A household that burns a great deal of fuel over the winter goes to its supplier in the summer and fixes the price it will pay in December. The household has locked in a lower price, so it now holds a position that gains if the fuel price rises. On the definition above it is long that fuel. And it may very well believe the price is about to fall. The household is not predicting anything. The household is removing a number from its own budget that it does not want to guess at, and it is perfectly willing to be wrong about the direction as the price of never having to think about it again.

Now the finance version, and it is the same thing wearing different clothes. Two different holders can hold the identical long position for reasons that have nothing in common. One of them has no other connection to the referenced thing at all and simply wants to stand where a rise pays. The other has a bill to settle in that thing later and is fixing what the bill will cost. Read the contracts side by side and they are the same document. Reading a belief out of a position is guesswork about a person, and the contract holds no information about that person at all.

What does a long forward oblige, at every price?

Everything below runs on one reference asset, an invented one, with a spot price of Rs 2,000.00/- today and financing at 6.50 per cent a year. The asset pays nothing at all while it is held. A payout during the holding period would change every number below, and this asset does not have one.

Work the agreed price rather than quoting it. Rs 2,000.00/- carried for one year means Rs 2,000.00/- multiplied by one point zero six five. The product is Rs 2,130.00/-. The gap of Rs 130.00/- is the financing for the year and nothing else. Nothing comes in from the asset while it is held, so nothing is subtracted from it. Rs 2,130.00/- is a cost worked out with a multiplication, and it is not a statement that anybody expects the price to be there. That distinction was settled where this sequence opens, and everything below leans on it without rebuilding it.

So: a holder is long a forward struck at Rs 2,130.00/-. On the final date they must buy one unit at Rs 2,130.00/- and they may then sell it for whatever it is worth. The payoffWhat a contract delivers on its date, ignoring anything that was paid for it earlier. is the difference between those two numbers, and here it is at four prices, each one worked rather than asserted.

The last row is the row that teaches. Sit with it for a moment. At a price of Rs 1,600.00/- the holder is down Rs 530.00/-, and they must still buy at Rs 2,130.00/- something the market will pay Rs 1,600.00/- for. Minus Rs 530.00/- is an obligation and not a choice: nobody may decline it, and the holder agreed to it on the day the contract was struck. There is no clause that softens as the number gets worse. The day to work out whether Rs 530.00/- was affordable was the day of the agreement, not the final date, and that is the whole reason the four rows are printed together rather than one at a time.

The shape follows from the arithmetic and could not be otherwise. Every row is the same subtraction with a different first number, so plot them and they lie on one straight line that crosses nil once, at the agreed price. The line does not flatten off at the bottom and it does not flatten off at the top, and neither does the promise.

What does a long option oblige, and what did the choice cost?

Now change the contract and hold the side constant. A holder is long a call on the same invented reference asset, with a strikeThe price written into an option at which the choice may be used. The strike is fixed on the day the contract is struck. of Rs 2,000.00/-, and they paid a premiumWhat the side holding a choice paid for that choice at the start. The premium leaves that side's hands on day one. of Rs 180.00/- for it on the day it was struck. The holder still gains as the price rises, and so is still long by the definition above. The promise, though, is a different matter entirely.

At a price of Rs 2,400.00/- they exerciseThe act of using the choice an option gives, rather than letting it lapse unused. the choice: they buy at Rs 2,000.00/- something worth Rs 2,400.00/-, and the payoff is Rs 400.00/-. At a price of Rs 1,600.00/- they do nothing. The choice is simply not used, no further money is owed by anybody, and the position ends there. Compare that with the forward, where the identical price of Rs 1,600.00/- produced a bill for Rs 530.00/- that could not be refused.

One side may choose and the other may not, and that asymmetry is the entire difference between the two contracts. A long forward is a promise in both directions. A long option is a right held by one side and a duty carried by the other, and the holder of the right can walk into the final date owing nothing further whatever the price turns out to be.

Where does the Rs 180.00/- come from? Not from anything here, and the honest answer is worth more than a number would be. Working out what an option should cost needs a measure of how much the referenced price moves about, and that measure is a fact about the asset rather than about the contract. So the Rs 180.00/- is given rather than derived, and deriving a premium is set out under option pricing. A premium invented at the point where it matters most would make every figure that followed look sturdier than it was.

Who sold the choice, and what did they get for it?

A reader who only ever looks at the long side never sees the whole arrangement, so turn the contract around. The Rs 180.00/- did not evaporate. The premium went to the side that granted the right, and that side now carries something it cannot get out of. If the price finishes at Rs 2,400.00/-, the short side of that call must deliver at Rs 2,000.00/- whatever it costs them to do so. The short side sold its own choice on day one and has none left.

The premium is the price of that asymmetry and of nothing else. It is not a fee for a service, it is not interest, and it is not a deposit that comes back. The premium is what one side charged for agreeing to be the one without a choice. Read it that way and a long option stops looking like a cheap version of a forward and starts looking like what it is: a different arrangement, bought outright, in which somebody was paid to accept the half of the risk that the buyer did not want.

The everyday parallel is a booking fee on a hall. A household pays a sum in advance to hold a wedding date. If the wedding happens they use the hall; if it does not, they walk away and the sum stays with the owner of the hall. The hall cannot let the date to anybody else in the meantime, and the lost letting is exactly what it charged for. Nobody thinks of that sum as a loss, and nobody thinks of the hall as having done the household a favour. Both sides priced the same asymmetry and agreed on a number for it.

Where does the payoff stop and the profit start?

Payoff and profit feel like names for the same thing, and that feeling is what makes the two run together. The two words name two different numbers. Consider the long call struck at Rs 2,000.00/- with its premium of Rs 180.00/-, with the price at the final date at Rs 2,130.00/-.

The choice is used and the price sits Rs 130.00/- above the strike, so the payoff is Rs 130.00/-. The profitThe payoff net of what was paid for the position. A different number from the payoff, and usually a smaller one. is minus Rs 50.00/-, because Rs 130.00/- less the Rs 180.00/- already paid is minus Rs 50.00/-. A payoff ignores what was paid and a profit does not, and those two clauses are the whole distinction. The position made money on one measure and lost it on the other, at one and the same price, and nothing has gone wrong: they are answers to two different questions.

The constant distance between them is far more convincing seen than described. Print both rows together. Every profit figure below is the payoff figure above it less Rs 180.00/-, in every column, without exception.

The middle row never changes. The unchanging middle row is the finding. A reader expects the two measures to close on one another as the position does better, on some vague feeling that a large gain swallows a small cost, and they never do: the difference is Rs 180.00/- at a price of Rs 1,600.00/- and it is still Rs 180.00/- at a price of Rs 2,400.00/-. Draw the two as lines and the lower one is the upper one slid down by the premium, everywhere, in parallel.

One consequence of that parallel shift is the number a reader actually needs. The payoff first turns positive at the strike of Rs 2,000.00/-. The profit first turns positive Rs 180.00/- further up, at Rs 2,180.00/-, and Rs 2,180.00/- is simply the strike plus the premium. The two prices are different, and treating them as one moves the breakeven priceThe price at which profit, rather than payoff, first reaches nil. down by the whole premium. Between Rs 2,000.00/- and Rs 2,180.00/- the choice is worth using and the position has still lost money, which sounds like a contradiction only until the two words are told apart.

What is being rounded away here, and why say so?

There is a simplification sitting inside every profit figure above, and it gets named here rather than left for a reader to trip over later. The subtraction treats the Rs 180.00/- as though it had been spent on the day the position ended. It was not. The premium was spent a year earlier, and money spent a year earlier costs more than money spent today. The same financing idea produced Rs 2,130.00/- in the first place.

Carry it and see. Rs 180.00/- multiplied by one point zero six five is Rs 191.70/-, so financing the premium for the year adds Rs 11.70/-. The extra Rs 11.70/- moves the price at which profit first reaches nil from Rs 2,180.00/- up to Rs 2,191.70/-. Rs 2,191.70/- is the strike of Rs 2,000.00/- plus Rs 191.70/- rather than plus Rs 180.00/-.

The simpler figure of Rs 2,180.00/- is the one used throughout. The Rs 11.70/- is small, and that is precisely why the habit matters more than the amount. A treatment that quietly drops a cost because the cost is small has taught its reader that costs quietly disappear, and the next reader carrying that habit into a position with a much larger premium and a much longer run will drop something that is not small at all. Naming a simplification costs one paragraph; having a reader discover one later costs every other number its credit.

The control below moves one thing only: the price of the underlying at the final date, between Rs 1,600.00/- and Rs 2,400.00/- in steps of Rs 10.00/-. Watch the two bars rescale, and watch the shaded block between their levels. The shaded block is the premium. Set the control to Rs 2,130.00/- and it reproduces the worked example above exactly: a payoff of Rs 130.00/- and a profit of minus Rs 50.00/-. The block between them is Rs 180.00/- there, and it is Rs 180.00/- at every other stop on the control as well.

Drag it once from end to end and the whole distinction between a payoff and a profit arrives in a second. The payoff bar grows, the profit bar climbs out of the ground and eventually overtakes it, the highlighted stretch of the track moves from the first zone to the third, and the shaded block does not move a pixel in height at any point in that journey. The gap between a payoff and a profit was fixed on the day the premium was paid, so it does not narrow as a position improves and nothing after that day touches it. Two stops are worth finding by hand: Rs 2,000.00/-, where the payoff bar first lifts off the line, and Rs 2,180.00/-, where the profit bar finally reaches it. The two stops are Rs 180.00/- apart, and Rs 180.00/- is the only number in the drawing that never changes.

Are the two long positions two versions of one thing?

No. The two get filed together under one word constantly, and that is exactly why bluntness helps. Set them at a single price and read across. At Rs 1,600.00/-, the holder of the long forward struck at Rs 2,130.00/- owes Rs 530.00/-. At the same Rs 1,600.00/-, the holder of the long call struck at Rs 2,000.00/- owes nothing further at all and has already spent Rs 180.00/-.

The difference is a difference in what was agreed, and not a ranking. Both holders are long. Both gain as the price rises. One of them signed a document that binds at every price there is, and the other signed a document that binds one side only and paid for the privilege of being the side it does not bind. The two are different arrangements that happen to share a word.

The comparison yields no conclusion about which arrangement anybody should prefer. Preferring one would mean knowing which price actually arrives and how likely each price is, and neither of those is a fact about the contract. The obligation of each one is a fact about the contract, and it can be stated exactly. A payoff drawing describes an obligation; it does not predict a price and it does not rank two contracts.

What is the other side obliged to do?

Every long position has a short one facing it, and a reader who never looks across has half the arrangement. Take the long forward at a price of Rs 2,400.00/-. The long side records plus Rs 270.00/-. The short side records minus Rs 270.00/-, to the rupee, on the same day, out of the same document.

The contract is one promise seen from two ends, so the two figures are equal and opposite by construction rather than by coincidence. There is no version of this in which both sides record a gain, and no version in which the sum of the two is anything other than nil. Whatever one side receives, the other pays.

Which leads to the part people find genuinely surprising. Nothing has happened to the underlying. The invented reference asset did not become worth more or less because a contract referencing it existed, did not pay anybody anything, and does not know the contract is there. The Rs 270.00/- moved between two parties who agreed in advance to move it under those conditions. The referenced thing sat outside the whole arrangement and was read from, not touched.

The everyday version is two neighbours settling a bet on the temperature. One pays the other when it is warm and is paid when it is cold. Whatever passes between them, the weather is entirely unaffected by their arrangement, and no amount of money changing hands between them warms or cools a single street. The contract reads the temperature. The contract does not move it.

What does a long position tie up while it is open?

What a position ties up is a separate question from what it obliges at the end, and the two get answered with the same number far too often. While the contract runs, an amount is posted against it and held. On the invented figures used throughout this guide, marginThe amount posted against an open position and held while it runs. Margin is not the amount at stake. of 8.0 per cent of the exposureThe amount of the underlying a position actually stands against, whatever was posted to hold it open. is 8.0 per cent of Rs 2,000.00/-, which is Rs 160.00/-.

Read the two amounts together or neither of them means anything: what was posted is Rs 160.00/-, and what the position stands against is Rs 2,000.00/- of exposure. Divide the second by the first and the position stands against 12.50 times what was put down. The ratio of 12.50 times, rather than either number on its own, is what makes these contracts different to hold.

Put a number on the consequence. A four per cent move against the position is four per cent of Rs 2,000.00/- of exposure, or Rs 80.00/-. Measured against the Rs 160.00/- posted, that same Rs 80.00/- is 50.0 per cent. One number, two bases, and the base has to be said out loud in the same breath as the ratio every single time or the sentence means nothing. The amount posted is not the amount at stake and was never meant to be.

The 8.0 per cent is a teaching figure and nothing more. The amount actually posted against a position, and the method by which it is worked out, are set by the Securities and Exchange Board of India (SEBI) at sebi.gov.in, vary by contract and by day, and move. A percentage appears here so that the arithmetic of the ratio can be shown at all. The 8.0 per cent is not a requirement and not a level, and nobody should carry it away as either.

How does somebody actually work with this on an ordinary day?

Picture the treasury desk of an invented manufacturer being handed a one line note: the firm is long one thousand units of a referenced input through a contract that settles in a year. Notice how little that sentence has said. The note has named a side and a size and nothing else, and the first three questions are always the same three.

Which contract is it? If the answer is a forward, the desk has a duty at every price and it needs to know what the worst tested price does to the cash the firm will actually have that month. If the answer is a bought option, the desk has a right, the money already left on the day it was bought, and the worst case is that the premium was spent for nothing. The two notes read identically and produce two completely different lines in a cash plan. The desk therefore asks before it reads any drawing.

Is that figure a payoff or a profit? A payoff of Rs 130.00/- a unit on a bought option is not Rs 130.00/- of gain a unit, and on a thousand units the difference between reading it right and reading it wrong is a thousand premiums. The desk habit is to write the word next to every number, every time, until writing it stops feeling necessary and then to keep writing it.

How much is posted, and what is it posted against? A lender or an analyst looking at the same firm asks this one first. A small amount posted against a large exposure is a line that can be called on at short notice, and the ratio decides how quickly. A household recognises this instantly from the other side: an advance of Rs 160.00/- on an order worth Rs 2,000.00/- is not a Rs 160.00/- commitment, and everybody knows it the moment the supplier delivers. The practical skill is asking which of four words applies before doing anything with a number: price, premium, payoff or profit.

Should anybody take one?

Each of these positions can now have its obligation stated exactly, and stating it exactly is a real thing to be able to do. The next question, and it arrives for everybody, is whether to be in one. No payoff, no premium and no ratio answers that.

Four things would have to be known before anybody could answer it, and not one of the four is arithmetic. First, what the position would be held against, if anything: a position taken against something a holder already has is a different animal from one taken on its own, and that case is set out under holding a position against an existing exposure. Second, what the holder could afford to lose at the far end of the range: a long forward at a price of Rs 1,600.00/- owes Rs 530.00/-, and Rs 530.00/- has to be affordable before the contract is struck, not discovered afterwards. Third, the whole set of prices that could arrive, and how likely each one is. Fourth, whether the reader may take such a position at all, a condition set by SEBI at sebi.gov.in rather than a matter of preference.

Not one of the four can be read off a payoff drawing: a probability, a distribution, a record of what a holder has lived through and an eligibility condition are facts about the world and about the holder, never about the contract. How likely Rs 1,600.00/- is stays unsaid, and a figure supplied at that point would be invented exactly where a reader would lean on it hardest. Understanding what a position obliges is not a reason to take one, and the two have never been the same sentence.

Who sets what is not printed here?

No figure sits against any of those five conditions, and the absence serves the reader. Each condition is set by the authority printed beside it, each varies by contract, and each moves. A figure written against any of them would not be merely out of date the day it changed: it would be wrong, and wrong in the confident voice of something printed. The name still works next year, so the name and the site are worth more than the value.

The reference asset used throughout, and the manufacturer whose treasury desk appears above, are invented, and so is every price, premium, payoff, profit, rate and ratio attached to them.
Educational material. Not advice on any investment, tax, budget or market position.