Derivatives, One Step at a Time

Hedging vs Speculation vs Arbitrage: Examples

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Same contract, different reasons to trade

The bakery and a trader can buy exactly the same contract for very different reasons. The bakery already needs flour; the trader may only want to benefit from a price movement. Look at the whole situation before labeling a trade.

Predict first, run the calculation, then make the requested change. Each exercise has a check; enter numbers without units.

Hedging, speculation and arbitrage: what is the difference?

The same contract can hedge one participant’s business and speculate for another. Classify the whole exposure and its cash flows, rather than the instrument’s name.

ActivityPurposeExample
HedgingOffset an existing exposureA bakery buys a forward to offset rising flour costs
SpeculationTake exposure to an uncertain outcomeA trader with no flour need buys a forward expecting a price rise
ArbitrageLock in a discrepancy through offsetting transactionsBuy and simultaneously sell an identical transferable asset at executable prices

Our arbitrage example assumes matching settlement and executable quantities. Net spread = sale price − purchase price − buying costs − selling costs per unit. Buying now and merely hoping to sell higher tomorrow is speculation, not a locked-in arbitrage.

Exercise 1 — Find the existing exposure

The bakery must buy 100 bags next month. Prices rising from $21 to $25 increase its bill. Calculate that increase. This risk exists before the bakery enters any derivative. Change the final price to $27 and check what is at stake.

In [ ]:
Java
CHECK YOUR UNDERSTANDING · WRITE AN ANSWER

At $27, how many dollars does the bill increase?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Exercise 2 — Offset rather than add

A long forward at $21 pays the bakery when flour gets dearer. Compare that payoff with the increase in its purchase bill. Change 25 to 27 in both lines. They move together, so subtracting the payoff offsets the higher bill.

In [ ]:
Java
CHECK YOUR UNDERSTANDING · CHOOSE ONE

Which position offsets the bakery’s rising purchase cost?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Exercise 3 — Use the same contract for a different purpose

A trader who has no flour purchase to make also buys the 100-bag forward. Its payoff is identical to the bakery’s contract payoff. The difference is the missing business exposure: the trader has added a price bet instead of offsetting an existing need.

In [ ]:
Java
CHECK YOUR UNDERSTANDING · CHOOSE ONE

Is this trader’s position hedging or speculation?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Read the picture

Distinguish hedging, speculation and arbitrage by the exposure and the cash flows.

Distinguish hedging, speculation and arbitrage by the exposure and the cash flows.

Exercise 4 — Scale the bet

The trader increases the position to 300 bags. The price falls to $18. Work out the signed payoff, then compare it with the same trade on 100 bags. Bigger positions scale losses as well as gains; confidence about a price direction does not change the arithmetic.

In [ ]:
Java
CHECK YOUR UNDERSTANDING · WRITE AN ANSWER

What is the signed payoff on 300 bags?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Exercise 5 — Compare simultaneous prices

An identical transferable asset is offered for $20 in one venue and can simultaneously be sold for $21 in another. Assume both quotes are executable for 100 units, with matching settlement and no costs. Calculate the locked-in difference. No forecast of tomorrow’s price is required.

In [ ]:
Java
CHECK YOUR UNDERSTANDING · WRITE AN ANSWER

What is the gross price difference in dollars?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Exercise 6 — Deduct both trading costs

Each side of that transaction costs $0.60 per unit. Subtract the buying cost and the selling cost. A visible price gap is not enough: its proceeds must exceed all costs. Change each fee to $0.40 and run again.

In [ ]:
Java
CHECK YOUR UNDERSTANDING · WRITE AN ANSWER

At $0.40 on each leg, what is the net result?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Read the picture

Distinguish hedging, speculation and arbitrage by the exposure and the cash flows.

Compare the picture with the calculations above. The figure shows its stated original values; editing a cell does not change it.

Exercise 7 — Do not call a forecast arbitrage

Someone instead buys at $20 hoping to sell tomorrow at $21. Calculate the result if tomorrow’s price is $18. There is no locked-in sale in this story. Distinguish an uncertain exit price from two executable offsetting transactions.

In [ ]:
Java
CHECK YOUR UNDERSTANDING · CHOOSE ONE

Is this forecast-based trade arbitrage or speculation?

Need a hint?

Return to this exercise’s stated quantity, direction and cash flows. Use changed values when the question asks for them.

Waiting for your answer.

Remember

Distinguish hedging, speculation and arbitrage by the exposure and the cash flows.

These are simplified examples with matching terms unless a mismatch is explicitly introduced. Quotes and margin rules are fictional. Fees, financing and withdrawals are excluded unless stated.

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