What you will learn
- Explain what a call and a put each give the holder
- Compute a call buyer's profit and breakeven
- Compute a put buyer's breakeven
- Identify the four basic positions and their risk
Every option is either a call or a put, and these two building blocks combine into the entire universe of options strategies. Understanding precisely what each does, who profits when, and the shape of its payoff is the foundation for the rest of the unit. The two are mirror images: one oriented toward rising prices, the other toward falling prices.
Call options: the ultimate beginner's guide (projectoption)
Focuses on the call side: payoff, breakeven, and when it profits. Pairs with the worked example below.
The call option
A call option gives its holder the right to buy the underlying at the strike price. A call buyer profits when the price rises above the strike, because they can buy at the lower strike while the asset is worth more. The call buyer is bullish. If the price stays below the strike, the call expires worthless and the buyer loses only the premium. The upside is large, growing with the price, while the loss is capped at the premium.
The put option
A put option gives its holder the right to sell the underlying at the strike price. A put buyer profits when the price falls below the strike, because they can sell at the higher strike while the asset is worth less. The put buyer is bearish. If the price stays above the strike, the put expires worthless and the buyer loses only the premium. The put buyer's gain grows as the price falls, capped only because the price cannot go below zero, and the loss is again limited to the premium.
Key terms
- Call
- The right to buy the underlying at the strike. Bullish for the buyer.
- Put
- The right to sell the underlying at the strike. Bearish for the buyer.
- Breakeven
- The underlying price at which the option position exactly recovers its premium.
- Short call
- Selling a call. Collects the premium but faces potentially unlimited loss if the price soars.
The breakeven formulas
- strike = the option's strike price
- premium = price paid for the option
- strike = the option's strike price
- premium = price paid for the option
A call buyer's profit and breakeven
You buy a call with a strike of 50 dollars for a premium of 3 dollars. At expiration the stock is at 58 dollars. What is your profit per share, and what was your breakeven?
- Find the value at expiration. The call lets you buy at 50 when the stock is 58, worth 58 minus 50, which is 8 dollars.
- Subtract the premium. 8 minus the 3 dollar premium is 5 dollars of profit per share.
- Find the breakeven. Strike plus premium is 50 plus 3, which is 53 dollars.
Why it matters: Above 53 the call buyer profits, and the gain keeps growing with the stock. Below 50 the call expires worthless and the loss is capped at the 3 dollar premium.
Find a put's breakeven
You buy a put with a strike of 40 dollars for a premium of 2 dollars. What is the buyer's breakeven price, in dollars?
Call vs put options basics (Option Alpha)
Contrasts calls and puts and their payoffs side by side. Good reinforcement of the mirror-image structure.
The four basic positions
- Long call: buying a call, bullish, with limited risk (the premium) and large upside.
- Long put: buying a put, bearish, with limited risk (the premium) and large but capped upside.
- Short call: selling a call, bearish-to-neutral, collects the premium but is obligated to sell and can face very large, even unlimited, losses if the price rises sharply.
- Short put: selling a put, bullish-to-neutral, collects the premium but is obligated to buy and can face large losses if the price falls sharply.
A call bets the price rises, a put bets it falls. Buyers risk only the premium, sellers collect the premium and shoulder the danger.
Which position for this view?
You strongly believe a stock will fall over the next month and want a position with limited risk. Which option position fits best?
A long put matches a bearish view and keeps risk limited to the premium. Selling a call is also bearish but exposes you to large losses, and both call positions are the wrong direction.Why sellers face bigger risk
In your own words, explain why a short call has theoretically unlimited loss potential while a long call's loss is capped.
Write an answer before comparing it with the model response.
Model answer
A long call buyer pays a premium for the right to buy, and if the stock falls they simply let the call expire, so their loss can never exceed the premium they paid. A short call seller is on the other side: they collected a premium but are obligated to deliver the stock at the strike if the buyer exercises. Since a stock's price has no upper limit, it can keep rising indefinitely, and the seller must buy at that ever-higher market price to deliver at the fixed strike, so their loss grows without bound. The buyer's ability to walk away caps their loss, while the seller's obligation to perform, combined with the unlimited upside of a stock price, leaves the seller exposed to theoretically unlimited losses.
Calls and puts are the two atoms of options. Whether either is worth exercising right now depends on where the price sits relative to the strike, which is the idea of moneyness, the next lesson.