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Derivatives and advanced market conceptsModule 4, lesson 18 of 21

Arbitrage basics

How cash-futures arbitrage works, why true arbitrage profits are rare and small, the hidden risks involved, and why risk-free claims deserve scepticism.

Time
5 min read
Level
Advanced
Updated

In this lesson

  • Explain the idea of arbitrage and the cash-futures trade.
  • Calculate the gross and net return on a simple cash-futures arbitrage.
  • Identify the risks in arbitrage trades that are described as risk-free.
  • Explain why arbitrage profits are usually small and competed away.

Builds on

On this page
  1. In simple terms
  2. Cash-futures arbitrage
  3. Why it is not truly risk-free
  4. Why profits are small
  5. Arbitrage as a marketing word
  6. Why it matters
  7. Limitations
  8. Common mistakes
  9. Try it yourself

In simple terms

Arbitrage means exploiting a price difference between two things that should be worth the same, by buying the cheaper one and selling the dearer one at the same time. In theory, when the prices come back together, the profit is locked in regardless of which way the market moves.

In practice, true arbitrage is rare, small and competitive, and many things called "arbitrage" carry real risks.

Cash-futures arbitrage

A future should trade near its fair value, the spot price plus the cost of carry, as the basis lesson explains. If it trades above that, a trader can:

  1. Buy the shares in the cash market.
  2. Sell the future at the same time.
  3. At expiry, the future converges to the spot price. Close both legs; the gap at the start is the gross profit, whatever the share price does.

Worked example: A made-up cash-futures trade

Buy share₹1,000
Sell 30-day future₹1,012
Gross spread locked in₹12
Funding cost of ₹1,000 at 7% for 30 daysabout ₹5.75
Brokerage, taxes and slippage, assumedabout ₹2
Net profit per shareabout ₹4.25
Net return for the monthabout 0.4%

The trade earns a little more than the funding rate, and only if everything goes to plan. The reverse trade, selling shares and buying futures when futures are cheap, needs shares to sell or borrow, which is harder for individuals.

Why it is not truly risk-free

  • Execution risk: the two legs may not fill at the intended prices at the same time; prices can move between orders, as the slippage lesson explains.
  • Margin calls: if the share rises, the short future loses daily and must be paid in cash, while the gain on the shares is not cash until sold, as the futures margin lesson explains.
  • Funding risk: borrowing costs can change.
  • Dividends and corporate actions: an unexpected dividend, bonus or split changes the calculation.
  • Settlement and rule changes: exchange rules, taxes and margin requirements change over time.
  • Liquidity at expiry: closing large positions can move prices.

Why profits are small

Banks, brokers and specialist firms run arbitrage at large scale, with low costs, cheap funding and fast systems. Whenever a gap appears, they compete to close it, so the spread available after costs is usually small. An individual with higher costs and slower execution is at a disadvantage.

Arbitrage as a marketing word

"Arbitrage" is sometimes used to sell schemes promising high, steady, "risk-free" returns. Be very cautious:

  • Genuine arbitrage returns are usually close to short-term interest rates, not far above them.
  • Promised high fixed returns are a hallmark of fraud, as the recognising scams lesson explains.
  • Strategies that are "risk-free until they are not" often hide leverage or tail risk, as the buyers and sellers lesson discusses.

Some mutual funds run cash-futures arbitrage as a strategy. Their returns vary with market conditions, and they carry the risks above, though managed at scale.

Why it matters

Understanding arbitrage explains why futures stay close to fair value, why spreads are small, and why claims of risk-free high returns should trigger scepticism rather than excitement.

Limitations

The example uses made-up prices and assumed costs and ignores taxes. Real arbitrage involves detailed knowledge of contract specifications, margin rules and costs that change over time.

Common mistakes

  • Believing arbitrage is risk-free.
  • Ignoring funding and trading costs.
  • Forgetting cash needs for margin calls on the futures leg.
  • Trusting high "arbitrage" returns promised by unregistered people.

Try it yourself

  1. For a share at ₹500 and a 30-day future at ₹505, calculate the gross spread, funding cost at 7% a year, and net profit after ₹1.50 of costs.
  2. Calculate how much cash would be needed for margin if the share rose 10% during the month on a made-up lot of 1,000.
  3. Write down three questions to ask anyone promising risk-free arbitrage returns.

Key takeaways

  • Arbitrage means profiting from a price difference between closely related things, buying the cheaper and selling the dearer at the same time.
  • In cash-futures arbitrage, you buy the shares and sell the future when the future is above fair value, then close both at expiry when the prices converge.
  • The locked-in spread is usually small. After funding costs, brokerage, taxes and slippage, the net return can be modest or negative.
  • Risks include execution gaps between the two legs, margin calls on the futures leg, dividend and corporate action surprises, and rule changes.
  • Arbitrage opportunities are competed away quickly by firms with low costs and fast systems. Claims of risk-free high returns are a warning sign.

Check your understanding

A share trades at ₹1,000 and its 30-day future at ₹1,012. Funding costs about ₹5.75 and trading costs about ₹2. What is the approximate net profit per share from buying the share and selling the future?

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Terms used in this lesson

Arbitrage
Profiting from a price difference between closely related things by buying the cheaper and selling the dearer at the same time.
Basis
The difference between a futures price and the spot price of its underlying.
Cost of carry
The cost of holding the underlying until a futures contract's expiry, mainly interest, minus income such as dividends.

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This lesson is general education, not investment advice. Examples use made-up or clearly dated figures to explain ideas; they are not recommendations. Read the disclaimer.