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Call and put: four positions

5 min · DYOR Education
FreeOptions · Basics
Goal

Clear up the main confusion: a call and a put are two different contracts, each with its own buyer and its own seller.

It is easy to think that the one who bought a put stands against the one who bought a call. That is not so. A call and a put are two separate contracts. Each has its own buyer and its own seller.

In futures there is one contract: long against short. Here there are two contracts. In each — the one who bought against the one who sold.

The put from the lesson “Options: what they are”: the right to sell BTC at 80,000, premium 800. Its seller promises: “if the price is below 80,000, I will pay the difference”.

PositionPremiumWhat it isIn profit if
Bought a callpays 1,000the right to buy at 90,000price above 91,000
Sold a callreceives 1,000promised to pay everything above 90,000price below 91,000
Bought a putpays 800the right to sell at 80,000price below 79,200
Sold a putreceives 800promised to pay everything below 80,000price above 79,200

The result of each position at the same prices:

Price on expiry dayBought a callSold a callBought a putSold a put
70,000−1,000+1,000+9,200−9,200
80,000−1,000+1,000−800+800
86,000−1,000+1,000−800+800
95,000+4,000−4,000−800+800
100,000+9,000−9,000−800+800
  • The columns come in pairs: bought call and sold call add up to zero. Bought put and sold put — too.
  • The buyer risks only the premium. The seller earns no more than the premium.
  • “Sold” here does not mean “short on BTC”. The one who sold a put earns as long as the price does not fall.
1A trap for those who came from futures

In futures “sold” means “short”. So it seems that one side opened a call and the other a put. No: a call and a put are two different instruments, like two tickers. Each has its own order book and its own “bought” and “sold”.

InstrumentOne sideOther side
Futureslongshort
Callboughtsold
Putboughtsold

The check is simple. Both the call buyer and the put buyer paid a premium. In one trade only one side pays. So they are not the two sides of one trade.

2What they expect — what they do
What the participant expectsWhat they do
The price will risebuys a call
The price will not fallsells a put
The price will fallbuys a put
The price will not risesells a call

Four expectations — four positions. Two of them are rights that are bought. Two are promises that are written.

Try it yourself
  1. Take the table of four positions.
  2. Work out all four results at a price of 75,000 on expiry day.
What you should get. Bought call −1,000, sold call +1,000, bought put +4,200 (80,000 − 75,000 − 800), sold put −4,200. The pairs add up to zero again.
Takeaway

Futures are one contract, long against short. Options are two: bought call against sold call, bought put against sold put. Four positions, each with its own break-even price.

Quick check

You bought a put. Who is on the other side of this trade?

Show answer

Correct answer: The put seller — the one who wrote this contract

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