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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…

Exposure: What Is Actually at Risk Before Any Hedge

An exposure is the part of what a party holds, owes or has agreed whose value moves with a price that party does not control. Naming one takes four facts: the item, the quantity in units, the direction that hurts, and the date it stops mattering. An exposure exists whether or not anybody has written it down, and it exists before any contract.

Prices move whether anybody is watching them or not. A party is tied to some of those prices by things it has already done: a purchase made, a debt taken on, a sale promised for a later date. The tie is the whole subject of this guide. The hedging work that follows is about changing the tie, and none of it can be read sensibly until the tie itself has been described.

Describing the tie comes first, and this guide stops there. A description writes down what is at risk, in a form a stranger could check. Choosing, sizing and entering are covered separately.

What is an exposure, in plain terms?

An exposureThe part of what a party holds, owes or has agreed whose value moves with a price it does not control. has two halves, and the definition is worth reading slowly because both halves have to be there. There has to be an attachment, meaning something the party has already bought, already owes or has already agreed to, and there has to be a price the party does not set. Take away the first half and there is nothing for a price to reach. Take away the second half and the price is not a risk, it is a decision. A shopkeeper who fixes the price on a shelf is not exposed to that price. The shopkeeper is exposed to the price paid for the stock on the shelf, and somebody else set that price.

Notice the words the definition leaves out. The definition mentions no record, no system, no report and no person noticing. An exposure is not created by noticing it and is not removed by ignoring it, so a party that has never described a single one of its exposures has every one of them all the same. Arriving unasked is the difference between an exposure and almost everything else in a set of accounts. A provision has to be made. A valuation has to be performed. An exposure simply arrives, at the moment the purchase is made or the agreement is signed, and it waits.

Here is the everyday version, and it is worth keeping beside the finance one all the way down. A household runs on one salary and has signed an agreement to pay a fixed sum every month. The sum going out is fixed by the agreement. The sum coming in depends on decisions made by somebody else in an office the household has no say in. The household is exposed to those decisions, and it was exposed on the day the agreement was signed, not on the day somebody at the kitchen table first said the word out loud. Nobody had to describe it for it to be true.

The finance version worked here runs on one invented thing called the reference asset, the name used for it throughout. The reference asset has a spot price of Rs 2,000.00/-, and it pays nothing at all while it is held. A payout during the holding period would change every figure below. The party with something at risk is called the holder. The part at risk is the exposure, and the particular thing that exposure attaches to is the hedged item.

An exposure is an attachment between two things, and it needs both ends. drawn as a line rather than as a property of the party, because one end of it is never theirs WHAT THE PARTY ALREADY HAS something already bought, something already owed, or something already agreed one end of the attachment A PRICE NOBODY HERE CONTROLS set somewhere else, by other people, for their own reasons, and it will not sit still the other end THE EXPOSURE it runs both ways TAKE AWAY THE LEFT END nothing bought, owed or agreed, so the price reaches nothing here TAKE AWAY THE RIGHT END a price this party sets itself is a decision, and not a risk Nobody has to notice an attachment for it to be holding.
An exposure joins something the party has already done to a price set outside it, and cutting away either end of that line leaves nothing at risk at all.
Try it out

A party has never written down a single exposure anywhere. How many does it have?

Which four facts have to be nameable before an exposure has been described?

Saying that something is at risk is not a description of an exposure. The phrase is a mood. A description has four facts in it, and each of the four answers a question that a contract, a report or a conversation will otherwise answer by guessing.

  1. The itemThe specific thing whose price reaches this party. Not the sector, not the theme, not the general area. Here the item is one invented reference asset, and the reason the item has to be specific is that a contract exists on some things and not on others, and nothing about that is decidable while the item is a category.
  2. The quantity, in units of the thingUnits, not money. Money moves while the units sit still, so a quantity written in rupees quietly changes every time the price changes, and a description that changes on its own is not a description. Twenty units stays twenty units through any price at all.
  3. The direction that hurtsWhich way the price would have to go for this party to be worse off. The direction belongs to the position and not to the item. The same thing therefore produces opposite answers for a party holding it and a party that has agreed to buy it.
  4. The date it stops matteringAlso called the horizonThe date on which the exposure stops mattering to this party, usually because the thing is sold, bought or delivered on that date., and it is a fact about this party's own affairs rather than about the market. Nobody outside the party can supply the date. Whether a move is a problem depends entirely on whether it happens before or after the party has finished with the item, so a description without the date cannot be checked.

Here is the standard for whether the four are done: a stranger reading them should be able to say what would go wrong and roughly when. If a reader can get to the end of a description and still not know which direction is the bad one, or still not know whether this matters next month or in four years, the description has failed, however precise the numbers in it look. How these four are set out in order on a sheet, and what else goes on that sheet beside them, is covered separately.

The factWhat it answersOn the case worked here
The itemWhose price reaches this partyOne invented reference asset
The quantityHow much of it, in unitsTwenty units held
The direction that hurtsWhich way is the bad wayA fall
The date it stops matteringUntil when this is liveThe day the units are sold
Read togetherWhat would go wrong, and roughly whenA fall before the units are sold
Try it out

Two parties write down the same item and the same quantity. What could still make their exposures exact opposites?

Derivatives Foundation Bootcamp — Fin Maverick

Where do exposures come from inside one party?

From three places rather than one, and a party that looks in only the first place will find roughly a third of what it has. The three are worth learning as a set. The third one looks like the first and behaves exactly like it, and the second one looks like the third and behaves like its opposite.

The first is something already bought and held. A unit is in the party's possession today, paid for, sitting there. A fall in the price hurts. Nothing further has to happen for this to be true. The source appears on the list of what the party has, so everybody finds it.

The second is something already agreed to be paid for. A purchase has been committed to, at a price that is not yet fixed, and the agreement is a commitmentSomething already agreed to be bought or sold at a price that has not yet been fixed. The agreement binds; the price does not exist yet.. A rise in the price makes the thing the party has promised to buy cost more, so a rise hurts. Nothing is in the party's possession. The exposure is real all the same.

The third is something already agreed to be sold, again at a price not yet fixed, and here a fall hurts, exactly as it does for the thing already held. What matters is which way the party is leaning, not whether the thing is physically in its possession. The lean rule is the whole of the block, and it is the reason a list of holdings is not a list of exposures. A party that lists only what it has in its possession has listed one of three sources and called the result complete.

Three sources, and the direction that hurts in each. the arrow shows the way the price would have to move for this party to be worse off ALREADY BOUGHT AND HELD a unit is in the party's possession today A FALL HURTS nothing further has to happen for this to be true everybody finds this one AGREED TO BE PAID FOR a purchase is agreed, at a price not yet fixed A RISE HURTS the thing is not here yet and it still reaches the party the opposite lean AGREED TO BE SOLD a sale is agreed, at a price not yet fixed A FALL HURTS looks like the middle one and leans like the first the one most often missed A party that lists only what it has in hand has listed one source of three.
Something held and something agreed to be sold are both hurt by a fall while something agreed to be paid for is hurt by a rise, so the lean decides the direction rather than the possession.

The everyday version of the third source is a street vendor who has taken an order for next week's function at a price to be settled on the day of delivery. Nothing has been cooked. Nothing is in the vendor's possession. A fall in the price on the day makes the order worth less, and the vendor is already committed to filling it, so the vendor is leaning exactly the way somebody with a full storeroom leans. Anybody who walked into that storeroom to count what was at risk would count nothing and be wrong.

Try it out

Before reading on. A party holds twenty units and has already agreed to sell five of them at a price fixed today. How many units is it exposed on?

Can two exposures inside the same party cancel each other before any contract?

Two exposures inside one party can cancel, and this is the least expected part of the subject, so it gets the worked instance and the simulation both. A party holds twenty units of the reference asset at the spot price of Rs 2,000.00/-. Twenty units at Rs 2,000.00/- comes to Rs 40,000.00/-, the gross exposureThe total before offsetting positions inside the same party have been subtracted from it.. The gross figure is what a list of holdings produces, and for most parties it is the only figure anybody ever writes down.

Now add the second list. The same party has already agreed to sell five of those units at a price fixed today. The five committed units have their price settled by an agreement, so they no longer move with anything. Five units of the holding and five units of the commitment point in opposite directions and cancel each other exactly. Fifteen units at Rs 2,000.00/- is Rs 30,000.00/- of net exposure, against Rs 40,000.00/- of gross exposure on the whole holding, and reaching it cost nothing at all. No contract was written. Nothing was bought. Nothing was posted anywhere. Two things that were already inside the party met each other on paper.

Fifteen units rather than twenty is what the net exposureWhat is left once offsetting positions inside the same party have been subtracted. It is the figure a description of what is at risk should carry. means, and it is the cheapest change available anywhere in this material. Every other way of changing an exposure that appears on this platform costs something: a price given up, an obligation taken on, cash to be found on a bad day. Netting costs a subtraction.

Now the trap, and it is the failure this guide ends on. A party that writes a contract against the gross figure of twenty units has covered five units twice. The five committed units were already settled by the agreement, so whatever is written against them stands against nothing. A position with nothing behind it is a position taken on its own, and that is covered separately. The gross figure describes a lean the party does not actually have, so the right count to describe, and therefore the right count to work from, is the net one.

One more caution before the numbers get comfortable. Netting is not an errand anybody has to go on, and a party that finds no offsets has found the truth as surely as one that finds ten. The subtraction is a statement about which number is true. The net figure is the description; the gross figure is an ingredient of the description. A party that reports the gross figure has not been conservative, it has been inaccurate, and being inaccurate in the cautious direction still leads to covering something that was never there.

Gross becomes net inside one party, and nothing enters or leaves. twenty units held at the spot price of Rs 2,000.00/-, both counts invented for teaching THE TWENTY UNITS HELD fifteen still leaning one way five already spoken for GROSS EXPOSURE, THE WHOLE HOLDING Rs 40,000.00/- NET EXPOSURE, WHAT IS ACTUALLY LEANING Rs 30,000.00/- cancelled no contract written, nothing posted Rs 10,000.00/- cancelled inside the party's own books No arrow enters this drawing and no arrow leaves it.
Twenty units held less five units already committed to be sold leaves fifteen units of net exposure, being Rs 30,000.00/- against Rs 40,000.00/- gross, with no contract written anywhere.

Two figures in this material print the same and mean something different, so they are worth separating here rather than leaving a reader to trip over the pair later. The Rs 30,000.00/- worked here is exposure with nothing whatever written against it, reached by subtraction inside one party's own records. The Rs 30,000.00/- that appears under hedge sizing is exposure that does have a contract written against it, reached by writing one. Fifteen units at Rs 2,000.00/- is Rs 30,000.00/- by either route, so the two figures agree by arithmetic accident while describing two different states of affairs. Anybody carrying the number without the sentence attached to it will eventually put it in the wrong column.

Play with it

Move the commitment and watch the net exposure shrink

The control moves a count and nothing else, so the holding stays at twenty units and the spot price stays at Rs 2,000.00/-. Drag it and watch two things at once. The gross bar never moves, and no arrow, no rupee and no contract enters or leaves the drawing at any setting. All that happens is that the boundary inside the frame slides, and the net exposure on the left of it gets smaller.

5 units already committed to be sold, out of 20 units held

The holding of twenty units, always the same width nothing enters this drawing and nothing leaves it at any setting of the control THE TWENTY UNITS HELD, INVENTED FOR TEACHING GROSS EXPOSURE, WHICH DOES NOT MOVE AT ALL Rs 40,000.00/- NET EXPOSURE, WHAT IS ACTUALLY LEANING net exposure Rs 30,000.00/- Rs 10,000.00/- already spoken for no contract is written and nothing is posted at any setting of this control
Units held
20
Units already committed
5
Units still exposed
15
Gross exposure
Rs 40,000.00/-
Net exposure
Rs 30,000.00/-
Contracts written to get here
none

Five of the twenty units held are already spoken for, so the party carries Rs 30,000.00/- of net exposure rather than the Rs 40,000.00/- its list of holdings shows.

Where this control sits is not for anybody to choose. The setting is a count of agreements the party has already entered into, read off the records rather than decided. The drawing shows the shape of the change, not a level anybody should aim at.
Educational illustration. The simulation runs on invented figures, describes no real party's position, and produces no score of any kind. Held still while the control moves: the holding of twenty units, the spot price of Rs 2,000.00/- and the fact that the committed units are agreed at a price fixed today, and that is what makes them cancel. No contract is written anywhere in this range and no margin is posted, so nothing in the drawing is a payoff, a premium or a profit.
Try it out

The same party writes a contract against all twenty units. What has it actually done on five of them?

Hedge Funds Analyst Bootcamp — Fin Maverick

Which of the three kinds of exposure can these figures actually work?

Three named parts follow, and they describe three different kinds of item: an amount fixed in another currency, a quantity of a physical thing, and a priced financial thing. All three are described in exactly the same way, with the same four facts, and only the third can be worked in figures here. The reason is not a judgement about which one matters, but a plain shortage of material.

The shortage, stated once and then repeated inside each part where it bites, is this. The working record behind this material carries one invented reference asset at a spot price of Rs 2,000.00/- and a financing rate of 6.50 per cent a year. The record holds no second currency and no rate between two currencies, no commodity, no quantity of one and no price for one, and no second price series of any kind. So the currency part and the commodity part are taught as the shape they share with everything else here, and neither of them invents a rate, a pair, a grade or a price in order to look as complete as the third.

Working either of the first two in numbers takes three things, and they are the same three both times. Two separately priced things. A price between them, or for each of them, on every date that matters to the party. And a record of both that somebody can check. None of the three exists here, and a worked example built without them would be fiction dressed as arithmetic.

One description, three kinds of item, and only one of them can be worked here. WHAT KIND OF THING IS THE ITEM? AMOUNT IN ANOTHER CURRENCY gives a foreign-exchange exposure SHAPE ONLY, NO FIGURES HERE these figures hold no second currency, and no rate QUANTITY OF A PHYSICAL THING gives a commodity-price exposure SHAPE ONLY, NO FIGURES HERE these figures hold no commodity and no price for one A PRICED FINANCIAL THING gives a financial exposure WORKED IN FIGURES BELOW one reference asset at Rs 2,000.00/-, invented The shortage is in these figures, not in the idea.
A currency exposure, a commodity-price exposure and a financial exposure are described the same way, and only the third is worked in figures here because these figures hold no second currency and no commodity.
Risk Management Program Bootcamp — Fin Maverick

How can a contract on a pair of currencies change what is at risk?

How Currency Derivatives Can Change Foreign-Exchange Exposure

Start with the shape. The shape is the part that transfers. A party has an amount fixed in another currency, to be received or to be paid on a later date. The amount in that other currency is known exactly. The amount in this party's own currency is not known at all, and will not be known until the day it moves. An amount fixed in another currency, unknown in this one, is a foreign-exchange exposureAn amount fixed in another currency whose value in this party's own currency is not yet known., and it fills in the four facts the same way everything else here does.

A rate is always between two things, so the item is the pair of currencies rather than one of them. The quantity is the amount in the other currency, and it is written in that currency for exactly the reason quantities are written in units everywhere else here: it stays still while the value in this party's own currency moves. The direction that hurts follows from whether the amount is coming in or going out, so a party expecting to receive is hurt by one direction and a party expecting to pay is hurt by the other, in the lean rule from the three sources over again. The date is the day the amount actually moves.

A contract on that pair changes one thing, said in one sentence: the party stops holding an unknown amount in its own currency and starts holding an agreed one. Replacing an unknown amount with an agreed one is the whole of the change, and the third part below works that same change in figures on a different kind of item. An obligation arrives with it, namely to complete the exchange on the date, whether or not the underlying amount turns up on time, and that obligation is a new fact about the party rather than a modification of the old one.

Now the absence, and it belongs inside this part rather than in a footnote. The working record behind this material contains no second currency and no rate between two of them. There is one invented reference asset with one price on it. So this part carries no arithmetic, and no rate is manufactured in order to produce some. The same structure is worked further down on an item these figures do support, and the structure is genuinely the same: an amount that moves with a price nobody here controls, and a contract referencing that same price standing against it.

The everyday version, and it needs no rate either. A student has been told that a fee due next year is a fixed number in another country's money. The number in that money is certain. The number in the money the household actually earns is not, and it will not be certain until the day the fee is paid. Nothing about the student's position requires anybody to know the rate. The position requires only that the rate is not set by the household.

The routing matters more than usual here. Whether an exposure in another currency may be covered by a contract at all, and by whom, and on what conditions, is set by the Reserve Bank of India at rbi.org.in, and what a privately agreed arrangement has to be reported as, to whom and by when, is set there too. Both of those move, and both are read at that source.

One amount is certain, the other is not, and the gap between them is the exposure. drawn without a rate, because these figures contain no second currency and no rate between two FIXED IN THE OTHER CURRENCY the amount is known exactly, today, and it does not move the quantity ? not set here IN THIS PARTY'S OWN CURRENCY not known until the day the amount actually moves the thing at risk WHAT A CONTRACT ON THE PAIR CHANGES an unknown amount in this party's own currency becomes an agreed one, and an obligation to complete the exchange on the date arrives with it No rate is invented here, so this part carries the shape and no arithmetic.
An amount fixed in another currency leaves the amount in this party's own currency unknown until the date, and a contract on the pair replaces the unknown amount with an agreed one.

How can a contract on a physical thing change what is at risk?

How Commodity Derivatives Can Change Commodity-Price Exposure

Again the shape first. A party will buy or sell a stated quantity of a physical thing on a later date, at a price that is not yet fixed. A quantity to be traded later at a price not yet fixed is a commodity-price exposureA quantity of a physical thing to be bought or sold later at a price that has not yet been fixed., and the four facts fill in as follows. The item is that thing, in a stated quality and at a stated place. The quantity is in whatever units the thing is measured in. The direction that hurts follows from whether the party is buying or selling. The date is the day it changes hands.

A contract on that thing changes the familiar sentence with a different noun in it: the price for the quantity covered stops being open and becomes agreed. The party takes on the obligation that comes with the contract and the amount that has to be funded behind it, exactly as in the third part below.

But one thing here is genuinely different from the currency part, and it is the reason these two are not the same part with two names. A contract on a physical thing is written on a stated grade and placeThe stated quality and the stated location a physical contract is written on. Both are part of the contract's own description of what it references.. The contract does not reference the thing in general, only that quality of it, in that location. So a party holding a different quality of the same thing, in a different location, is covered by something that is not quite what it has, and the difference between the two is left over. How much is left over when the two sides do not line up is covered separately. The mismatch is physical rather than arithmetic.

The everyday version is a wedding caterer who has taken an order for a function four months away, at a price to be settled nearer the date, and who will have to buy the ingredients in a particular quality from a particular market. A contract written on a different quality, or on stock sitting in another city, changes something, but it does not change exactly the thing the caterer is worried about. Anybody who has ever collected the wrong grade of anything for a function knows in their body why this matters, without any arithmetic at all.

The absence again, and it is stated here rather than left to the reader to infer. The working record contains no commodity, no quantity of one and no price for one. So this part carries the shape and no arithmetic, and it invents neither a thing, nor a grade, nor a place, nor a price in order to produce some. The figure below draws the fields that would have to be filled in and deliberately leaves every one of them empty. The fields are the teaching, and the entries are not in these figures.

The routing here belongs to a different authority from the currency part. Which contracts on physical things may be entered into, by whom and on what conditions is set by the Securities and Exchange Board of India (SEBI) at sebi.gov.in, as is the size of one contract, the units it stands on, and who may carry a position at all. Every one of those moves, and every one is read at that source.

The same four fields on both slips. The cover holds only where they match. every value box is left empty on purpose: these figures contain no commodity of any kind THE CONTRACT, AS WRITTEN THE THING not in these figures THE GRADE not in these figures THE PLACE not in these figures THE DATE not in these figures set by the contract, never by the holder WHAT THE PARTY ACTUALLY HAS THE THING not in these figures THE GRADE not in these figures THE PLACE not in these figures THE DATE not in these figures read off the storeroom, not off the contract Where a field on the left differs from the same field on the right, the cover is not quite the thing held. The fields are the teaching here. The entries are not in these figures.
A contract on a physical thing carries a stated grade and a stated place, so a party holding a different grade elsewhere is covered by something that is not quite what it has.
Try it out

Why does the currency part carry no figures at all?

What do the four facts read like once a contract is written against the unit?

How Hedging Can Change a Financial Exposure

The financial part is the one that carries the arithmetic, and it carries it because a financial exposureAn amount whose value moves with the price of a financial thing, or with a financing rate. is the only one of the three these figures support. Take one unit of the fifteen the party is actually exposed on. The four facts read: the item is the reference asset, the quantity is one unit, a fall hurts, and the date is whenever the unit is sold.

Now write a contract against it on the short position. The contract binds the holder to sell one unit on the later date at a price agreed today. The contract price is not chosen and not negotiated. Arithmetic produces it. Financing costs 6.50 per cent a year and the reference asset pays nothing at all while it is held, so nothing comes in to set against the cost of carrying it. Rs 2,000.00/- multiplied by 0.065 is Rs 130.00/-, and Rs 2,000.00/- plus Rs 130.00/- is Rs 2,130.00/-. The Rs 2,130.00/- is what the financing rate produces rather than what anybody expects the price to be, and the Rs 130.00/- inside it is the carry. Why that is so, and why anybody offering to sell forward for less would be handing out money, is covered separately and used here as finished work.

Now read the four facts again, one line at a time. The change is the whole point of the part.

The factBefore the contractAfter the contract
The itemOne unit of the reference assetA pair: the unit, and a contract on the same unit
The quantityOne unitOne unit, unchanged
The direction that hurtsA fallNeither, on the covered unit
The date it stops matteringThe day the unit is soldThe day the unit is sold
A fifth line, which was not there beforeNothing to fundRs 160.00/- to be funded

The fifth line is the one worth staring at. Writing the contract brings an amount that has to be funded from somewhere, and on these figures it is the initial margin of 8.0 per cent on Rs 2,000.00/-, or Rs 160.00/- on one unit. The 8.0 per cent used here is a teaching figure, not a requirement, and not a figure anybody may carry away. Real requirements are set by clearing corporations under SEBI's framework at sebi.gov.in, they differ by contract and by day, and they move. The invented figure is here only so the fifth line has something in it.

Where does the Rs 160.00/- come from? Not from the unit. The unit is the thing being covered, and selling it to fund the margin against it would undo the arrangement in the act of paying for it. So the fifth line is a claim on something else the party has, and it is the reason a description of an exposure gains a line rather than losing one when a contract is written against it. The exposure did not leave the sheet. The exposure changed what it was written against, and the sheet got longer.

The sheet gained a line. It did not lose one. one unit of the reference asset, read at the final date the contract settles BEFORE THE CONTRACT IS WRITTEN THE ITEM one unit of the reference asset THE QUANTITY one unit THE DIRECTION THAT HURTS a fall THE DATE IT STOPS MATTERING the day the unit is sold no fifth line yet AFTER IT IS WRITTEN THE ITEM the unit, and a contract on it THE QUANTITY one unit, unchanged THE DIRECTION THAT HURTS neither, on the covered unit THE DATE IT STOPS MATTERING the day the unit is sold AN AMOUNT TO BE FUNDED Rs 160.00/-, at the invented 8.0 per cent The exposure did not leave the sheet. It changed what it was written against.
After a contract is written the item is a pair rather than a unit, the quantity is unchanged, neither direction hurts on the covered unit, and a fifth line appears for Rs 160.00/- to be funded.
Try it out

After a contract is written against the unit held, how many lines does the party's description need?

At which moment does the covered direction actually read as neither?

At one moment, and the table above says which: the final date, the day the contract settles. The date has to be said out loud every time a line like that is written. The line is not true on the other days, and a reader who carries it away undated will be surprised by the first mid life reading they ever take.

Take the fall the record uses. The price of the reference asset moves from Rs 2,000.00/- to Rs 1,920.00/-, a gap of Rs 80.00/- struck on a base of Rs 2,000.00/-. On the final date, the unit held and the unit sold forward are prices for the same day, so they cancel rupee for rupee and the covered direction genuinely reads as neither. With a full year still to run, they do not cancel rupee for rupee, and the reason is that the carry applies to the new price as well as to the old one. The contract price for that same later date becomes Rs 1,920.00/- multiplied by 1.065, which is Rs 2,044.80/-, and against the Rs 2,130.00/- written into the holder's own contract that is a gap of Rs 85.20/-. A gap of Rs 80.00/- in the price today has become a gap of Rs 85.20/- in the price for the later date, and Rs 5.20/- is left standing.

So the offset is over complete before the end and exact only at it. How much of a move an offset actually catches is covered separately. The discipline is this. Every reading names the moment it is taken at, and the same two positions produce different answers on different days without either answer being wrong.

Try it out

The price of the reference asset falls from Rs 2,000.00/- to Rs 1,920.00/- with a full year still to run. How far does the contract price for that same later date move?

Hedging a Real Exposure — free micro-course from Fin Maverick

What is an exposure not?

Two confusions are common enough to be worth naming separately, and both of them lead a party to write down a figure that describes something other than its position.

An exposure is not a loss. An exposure is what moves, not what has moved. A party with a very large exposure and a price that has sat still has lost nothing at all, and a party with a small exposure and a price that has collapsed has lost something real. The two are different measurements of different things, and one of them is about the future while the other is about the past. Nothing in the description has happened yet, so none of it is a loss.

An exposure is not a notionalA figure a calculation is applied to. It is a multiplier, and it need not move anywhere at all. either, and this is the expensive one. A notional is a figure a calculation is applied to. The notional is a multiplier, and a multiplier may sit in an agreement for years without moving anywhere. An exposure is the amount actually standing behind a party's position, and that amount is what a price move would affect.

Here is the size of the gap, using an arrangement settled earlier in this subject area and borrowed here only for its two figures. A notional of Rs 1,000 crore multiplied by a difference of 1.20 percentage points a year produces Rs 12.00 crore of net difference over the first period. The Rs 1,000 crore never changes hands. Rs 12.00 crore against Rs 1,000 crore is 1.2 per cent of it, so the multiplier is more than eighty times the amount that actually moves. Reporting the multiplier where the exposure belongs describes an arrangement many times larger than the one actually held.

Why is that expensive rather than merely untidy? Because a party that overstates its own exposure will cover something that was never there, and covering something that was never there is a position taken on its own, with everything that comes with it. Overstating in the cautious direction produces the same accidental position that understating produces, only in the other direction. So every quantity throughout this material says whether it is notional or exposure, in the same sentence as the number.

A multiplier and an amount that moves, drawn to one scale. both figures settled earlier in this subject area and borrowed here only for the size difference A NOTIONAL, THE FIGURE A CALCULATION IS APPLIED TO Rs 1,000 crore THE AMOUNT THAT ACTUALLY MOVES IN THE FIRST PERIOD Rs 12.00 crore 1.2 per cent of the figure the calculation is worked on Reading the top bar as what is at risk overstates it many times over. The lower bar is drawn to exactly the same scale as the upper one, which is why it is barely there.
A notional of Rs 1,000 crore and the Rs 12.00 crore that actually moves in the first period, drawn to one scale, show why reading a multiplier as an exposure overstates a position.

The error that gets made, and what it costs

A party lists what it has, finds twenty units, writes a contract against twenty units, and files the position as covered. The party that makes this error is not a careless one, it is a careful one with a complete list of holdings and an incomplete list of agreements, and that is the ordinary shape of a records system anywhere. Holdings sit in one place, agreements sit in another, and nobody subtracts one from the other because nobody has ever been asked to.

Here is what that produces, precisely. Five of the twenty units are already spoken for at a price fixed today, so those five no longer move with anything. The stretch of contract written against them stands against nothing at all, and it moves in one direction only. The party's own record now says twenty units covered. The truth is fifteen units covered and five units leaning the other way. The holding of twenty, less the five already agreed and less the twenty written against, is a position of five units on the opposite side.

Here is the cost with a name on it. The party's description of what is at risk is now wrong in both directions at once: it overstates what it had, and it hides what it has taken on. Nobody will notice until a price moves, and when one does the five units will move the wrong way against a party that believed it had nothing left to worry about.

The correction is an instruction about the lists rather than about the contract. The number that gets described is the net one, and a list of holdings that has never been set against a list of agreements is not a description of an exposure at all. A list of holdings on its own is an inventory, and an inventory is a different document answering a different question.

Cover written on the gross count sits on five units already spoken for. twenty units held, five already committed to be sold at a price fixed today fifteen actually leaning five already spoken for THE CONTRACT WRITTEN, ON THE GROSS COUNT OF TWENTY UNITS cover with fifteen units behind it cover with nothing behind it What that last stretch actually is a short position on five units with nothing behind it, taken by a party that believed it was covering something, and recorded nowhere as a position at all Covered on fifteen, leaning the other way on five, and describing neither.
A contract written against twenty units when five are already committed leaves five units covered twice, and that second cover is a position taken on its own with nothing behind it.

How does somebody reading a set of books actually use this?

Take a lender assessing a borrower, or an analyst reading a set of accounts, or a household sitting down with its own affairs on a Sunday. The line that says a position is covered reports an intention rather than a state, and so it is the least informative line available. A reader takes the four facts instead, one at a time, and then asks which list they came off.

First, is the quantity in units or in money? A quantity in money changes when the price changes, so a report that carries one has a description that will be wrong by next quarter without anybody having done anything. Second, does the quantity come off one list or two? A figure that came off the list of holdings alone is a gross figure wearing a net label, and the gap between the two is exactly the size of the accidental position waiting to be taken. On the figures worked here, that gap is Rs 40,000.00/- against Rs 30,000.00/-, a quarter of the whole holding.

Third, does the figure say whether it is notional or exposure? The difference can be a multiple rather than a margin, so where a figure does not say, ask before reading any further. Fourth, is there a date? An exposure without a date cannot be told apart from a permanent condition, and the two need completely different responses.

None of those four questions is answered by knowing that a contract exists somewhere. All four are answered by reading the description itself.

An exposure is what moves, not what has moved. See where they get confused.

What would have to be known before anybody could say what to do about this?

A reader who has just written down an exposure will feel that something now has to be done about it, and that feeling is exactly where care is needed. An exposure is not a problem awaiting a solution. An exposure is a fact about a position. A party may carry it deliberately, may reduce it inside its own records the way the fourth section did, or may write a contract against it, and this platform does not say which of the three anybody should do.

Describing an exposure is not the first step of a process that ends in a trade. Describing an exposure is work with its own value, and it is finished when the description is accurate, whatever anybody does next. The party that describes twenty units correctly as fifteen has already changed its position for the better in the only sense that can be vouched for here: it now knows what it has.

Answering whether to act on an exposure would take several further facts. The party's purpose, and what it exists to do. Its capacity to fund a bad day without selling the very thing it was trying to protect. How long the exposure runs and whether it renews. Whether a contract on the item exists at all, and on what dates. And what SEBI at sebi.gov.in sets down before a position is treated as a hedge rather than as a position taken on its own, read at that source.

Notice what is not on that list. How well anything worked last time, an event these figures do not contain. Whether covering is the careful or the responsible thing to do, a description of a feeling rather than of an arrangement, with the word carrying the feeling free of charge. Understanding what an exposure is has never been a reason to change one.

Try it out

A report shows a large notional and a much smaller exposure. Which of the two describes what is at risk?

Set by an authority, named here and quantified nowhere

What is left to the authorities named below, and why

Every row below is set by the authority named inside it, every one of them moves, and any text that wrote one out would be wrong rather than merely out of date on the day it changed. The invented 8.0 per cent used in the arithmetic further up is labelled invented at every appearance, so it can never be mistaken for anything in this block.

What is setBy whomValue here
The arrangements under which an exposure in another currency may be covered by a contract at all, and by whomReserve Bank of India, rbi.org.inNot stated
What a privately agreed arrangement is reported as, to whom, and by whenReserve Bank of India, rbi.org.inNot stated
Which contracts on physical things may be entered into, by whom, and on what conditionsSEBI, sebi.gov.inNot stated
The conditions on which a position is treated as a hedge rather than as a position taken on its ownSEBI, sebi.gov.inNot stated
Who may carry a derivative position at all, and what has to be put to them before they doSEBI, sebi.gov.inNot stated
The size of one contract and the units of the reference asset it stands onSEBI, sebi.gov.inNot stated
This guide describes what is at risk and stops there. What a hedge is and what arrives with it is covered separately, as is how many units to write against a holding, whether a position is a hedge or a position taken on its own, and how the lines of an objective are written down. How much of a move an offset actually catches, what is left over when the two sides do not line up, how the other side of the contract could fail, and what the thing being covered has to be are each covered separately. How any market in a currency or a physical thing actually works is covered elsewhere. How a contract price is built out of a spot price and a financing rate, and why it is arithmetic rather than a forecast, is used here as finished work. Measuring, aggregating and reporting a risk make up a separate subject, covered separately. No option is priced here and none could be, for want of any measure of how much a price moves about. Every requirement touched on is named in the block above and quantified nowhere.

References

SourceDocumentWhere
Reserve Bank of IndiaThe arrangements under which an exposure in another currency may be covered by a contract at all and by whom, and what a privately agreed arrangement is reported as, to whom and by when. Named at two rows above, quantified at neither.rbi.org.in
Securities and Exchange Board of IndiaWhich contracts on physical things may be entered into, by whom and on what conditions; the conditions on which a position is treated as a hedge rather than as a position taken on its own; who may carry a derivative position at all; and the size of one contract and the units it stands on. Named at four rows, quantified at none.sebi.gov.in
arXiv Quantitative FinancePreprint repository consulted for the treatment of offsetting positions inside one party and for the behaviour of a contract price against a spot price before the final datearxiv.org
Research Papers in EconomicsWorking paper repository consulted for the same material and for the distinction between a figure a calculation is applied to and an amount actually standing behind a positionideas.repec.org

Every figure above follows from the spot price of Rs 2,000.00/-, the financing rate of 6.50 per cent a year, the initial margin of 8.0 per cent and the two unit counts. The gross exposure of Rs 40,000.00/-, the net exposure of Rs 30,000.00/-, the Rs 10,000.00/- cancelled, the contract price of Rs 2,130.00/-, the carry of Rs 130.00/-, the margin of Rs 160.00/- on one unit, the Rs 80.00/- gap in the spot price, the Rs 85.20/- gap in the contract price and the Rs 5.20/- left standing were each recomputed in whole paise.

The reference asset and the holder are invented.
Educational material. Not advice on any investment, tax, budget or market position.

Covered in this topic

Subtopics

How Currency Derivatives Can Change Foreign-Exchange ExposureHow Commodity Derivatives Can Change Commodity-Price ExposureHow Hedging Can Change a Financial Exposure
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