Core Path · L1.7.01

What derivatives are and why they exist

10 minDerivativesHedging

By the end you will be able to

  1. 1Explain how derivatives are used for hedging, speculation and arbitrage.
  2. 2Define a derivative and name its underlying, notional and counterparties.
  3. 3Name the four main families of derivatives and say where each usually trades.
  4. 4Explain why leverage makes derivatives both useful and dangerous.

Why it matters

A German machine maker sells a machine to a US customer for USD 10 million, to be paid in six months. If the euro strengthens before then, those dollars buy fewer euros and the profit can vanish. One call to its bank today can fix the exchange rate. That call creates a derivative.

Core explanation

Contracts that borrow their value

A derivative is a contract between two parties whose value depends on the price of something else. That something else is the underlying. It can be a share, a bond, a stock index, an interest rate, an exchange rate, a commodity such as oil or wheat, or even an event, such as a company failing to pay its debts.

The idea is old and simple. A wheat farmer worries the price will fall before harvest. A miller who buys wheat worries it will rise. In spring they agree a price for wheat to be delivered in autumn. Each has removed a worry, and the contract between them is a derivative: its value moves with the wheat price, but no wheat changes hands until autumn.

What most derivatives have in common

  • Terms are agreed today; most of the payments happen later.
  • Little or no cash changes hands at the start.
  • The size is set by a notional amount, which is often never paid over.
  • There are two counterparties, and the contract is zero-sum: what one gains, the other loses.

Four families

Almost every derivative is built from four basic types. Click each one to see what it does. You will meet each of them properly later in this module.

The derivatives family

Click a family

Both sides are obliged to trade the underlying at a price agreed today. A forward is a private contract; a future is a standard version traded on an exchange, with gains and losses settled every day. See L1.7.02 and L1.7.03.

Three reasons to use them

Hedging

Reduce a risk you already have.

The farmer, the miller and the exporter all start with a risk and use a contract to cancel it.

Speculation

Take on a risk you expect to pay.

A trader who thinks oil will rise can buy oil futures without buying, storing or insuring any oil.

Arbitrage

Lock in a riskless profit from mispricing.

If the same thing has two prices, buy the cheap one and sell the dear one. Doing so pushes the prices back together.

Hedging is the reason derivatives exist, but the market needs the others too. Speculators take the other side of hedgers' trades, and arbitrageurs keep the prices of derivatives in line with the prices of their underlyings.

Hedger, speculator or arbitrageur?

6 cards
  1. A Japanese carmaker sells US dollars forward to fix the yen value of its US sales.

  2. A hedge fund buys oil futures because it expects the oil price to rise.

  3. A trader sees gold futures priced well above the cost of buying gold today and storing it. She buys gold and sells the futures.

  4. A pension fund enters a swap to receive fixed interest for 30 years, to match the pensions it must pay.

  5. An investor buys call options on a tech share the day before its results, hoping for a jump.

  6. An Australian wheat farmer sells futures before harvest to lock in a price.

Leverage: why they are powerful and dangerous

Because little cash is paid upfront, a derivative gives a large exposure for a small outlay. This is leverage. Put down 10,000 to control a position worth 100,000, and a 5% move in the underlying gains or loses 50% of your money. That suits a hedger, who protects a large exposure cheaply. It can ruin a speculator who is wrong.

Where they trade. Some derivatives are standard contracts traded on exchanges, such as futures and listed options. Many more are agreed directly between two parties, over the counter (OTC), and tailored to their needs (L1.1.04). Measured by notional, the OTC market is many times larger than the exchange-traded one, and its notional runs into hundreds of trillions of US dollars. Notional overstates the money at risk: in a swap on USD 100m, only the interest differences are ever paid. But each side still depends on the other paying, which is counterparty risk, a theme that runs through this whole module.

Try it

Here is the exporter from the opening. It can sell its USD 10m forward at 1.10 dollars per euro. Leave it unhedged, hedge half, or hedge it all, then move the exchange rate in six months.

Try itHedge or not?

Share of the USD 10m sold forward at 1.10

no hedge your choice
8m9m10m1.001.101.20EUR/USD in six months

Euros received

€9.091m

Budget at 1.10€9.091m
Against budget0.000m
Forward's own gain+0.758m

Sell it all forward and the line goes flat: you get €9.091m whatever happens. You give up the gain if the euro weakens in return for no loss if it strengthens.

Worked example

A euro exporter hedges its dollars

The exporter is owed USD 10m in six months. Its bank offers to buy those dollars then at a forward rate of 1.10 dollars per euro (EUR/USD is quoted as dollars per euro). Try each step before revealing it.

Hedged against unhedged

Step 1 of 5
  1. 1

    The budget

    At the forward rate, the dollars are worth 10,000,000 ÷ 1.10 = €9.091m. The exporter sells all USD 10m forward and so locks this in.

Regulatory lens · looking ahead

After the 2008 crisis, the G20 countries agreed that standard OTC derivatives should be centrally cleared and reported, and that the rest should carry margin. L1.7.11 explains these reforms. Later levels cover the capital banks hold against derivatives counterparties and the hedge accounting rules (IFRS 9) that let a company show a hedge alongside the risk it hedges.

Sparks

Spark“Financial weapons of mass destruction”
In his letter to shareholders in Berkshire Hathaway's 2002 annual report, Warren Buffett called derivatives “financial weapons of mass destruction”, warning that their risks were hard to see. Berkshire itself later sold long-dated put options on stock indices. The tool is not the danger; how much of it you use, and whether you understand it, is.
SparkNotional is not money at risk
Headlines often quote the notional size of derivatives markets, which runs into hundreds of trillions of dollars. The market value of all those contracts, roughly what it would cost to replace them, is only a small fraction of that. Both numbers matter: notional shows how big the positions are, and market value shows how much is owed today.

Key takeaways

  • A derivative is a contract whose value depends on an underlying: a price, rate, index or event.
  • The four families are forwards and futures, swaps, options, and credit derivatives.
  • Hedgers use derivatives to remove a risk they already have; speculators to take on risk; arbitrageurs to profit from mispricing.
  • A hedge removes losses and gains alike: it buys certainty.
  • Small upfront payments give leverage, which magnifies gains and losses.
  • Derivatives are zero-sum between the two sides, so each side depends on the other paying: counterparty risk.

Reaction

Check what stuck

Question 1 · objective 1

An airline agrees today a fixed price for the jet fuel it will buy over the next year. What is it mainly doing?

Question 2 · objective 2

An option gives the right to buy shares of Toyota at a fixed price. What is its underlying?

Question 3 · objective 1

A euro-area exporter is owed USD 6m in three months and sells it all forward at 1.08 dollars per euro. How many euros will it receive, in millions, to two decimal places?

€m

Question 4 · objective 4

You put down 5,000 of margin to hold a futures position worth 50,000. The underlying falls 4%. What is your gain or loss as a percentage of your margin? (Enter a loss as a negative number.)

%

Question 5 · objective 3

Which of these is usually traded over the counter rather than on an exchange?

Glossary

Derivative
A contract between two parties whose value depends on the price or level of something else.
Underlying
The asset, rate, index or event whose value a derivative depends on.
Notional
The amount a derivative's payments are worked out on. It sets the size of the contract but is often never paid over.
Counterparty
The other party to a contract: the one who must pay you if the contract moves in your favour.
Hedging
Taking a position that gains when an existing risk loses, so the two offset.
Speculation
Taking a position to profit from a price move you expect.
Arbitrage
Making a riskless profit from two prices that are out of line, by buying the cheap and selling the dear.
Over the counter (OTC)
Over the counter: traded directly between two parties, not on an exchange.
Leverage
Gaining exposure to a large amount of an asset with a much smaller amount of your own money.
Zero-sum
One side's gain is exactly the other side's loss, before costs.

Deep Dives & Origins

Deep Dives

  • John C. Hull, Options, Futures, and Other Derivatives, 11th edition (Pearson, 2021), chapter 1, “Introduction”. Beginner.
  • Bank for International Settlements, OTC derivatives statistics, published every six months. Beginner.

Origins

  • John C. Hull, Options, Futures, and Other Derivatives, 11th edition, Pearson, 2021.
  • Bank for International Settlements, OTC derivatives statistics (semi-annual survey).
  • Warren E. Buffett, Chairman's letter, Berkshire Hathaway Inc. 2002 Annual Report.

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