Long Call Options: How They Work, Formulas, and Examples
A long call is the simplest bullish options trade. You buy the right to purchase a stock at a fixed price before a set date — with unlimited profit potential and a maximum loss limited to the premium you paid. This guide covers everything you need to understand the P&L math.
In this guide
1. What Is a Long Call?
When you buy a call option, you purchase the right — but not the obligation — to buy 100 shares of a stock at the strike price on or before the expiration date. You pay the seller a premium for this right.
If the stock rises above the strike price before expiration, your call gains value. The higher the stock goes, the more your call is worth. If the stock stays below the strike, the call expires worthless and you lose only the premium paid — nothing more.
This asymmetry is the key feature: capped downside (premium only), uncapped upside. Long calls also offer leverage — a 10% move in the stock can produce a much larger percentage gain in the option.
2. Maximum Profit
Maximum profit on a long call is theoretically unlimited. As the stock price rises, your call gains intrinsic value dollar for dollar above the strike. There is no ceiling.
Profit at expiry = max(0, Stock Price − Strike) − Premium Paid
× 100 (one contract = 100 shares)
3. Maximum Loss Formula
Maximum loss is strictly limited to the premium you paid. If the stock closes at or below the strike at expiration, the call expires worthless. You lose what you paid — nothing more, regardless of how far the stock falls.
Max Loss = Premium Paid × 100
This is what separates a long call from a stock position. A stock can lose its entire value. A long call losses are capped at the entry cost.
4. Breakeven Calculation
Breakeven = Strike Price + Premium Paid
The stock must rise above the breakeven at expiration for the trade to profit. Between the strike and the breakeven, you recover some premium but still have a net loss. Above the breakeven, every dollar the stock rises equals a dollar of profit per share.
5. Worked Example with AAPL
AAPL is trading at $185. You expect it to rise to $200 before the next expiration in 45 days.
Trade Setup
- Buy 1 AAPL $185 call at $5.00
- Total cost: $5.00 × 100 = $500
Max Loss: $5.00 × 100 = $500
Breakeven: $185 + $5.00 = $190
Profit if AAPL hits $200: ($200 − $185 − $5) × 100 = $1,000
If AAPL rises to $200, your $500 investment returns $1,000 — a 100% gain on the option while the stock only moved 8.1%. That leverage is why traders use long calls instead of buying stock outright. But if AAPL stays below $185 through expiration, the call expires worthless and you lose the full $500.
6. When to Use a Long Call
- •You are strongly bullish and expect a meaningful price increase before expiration — not a small drift.
- •You want leverage. Options let you control 100 shares for far less than the cost of buying the stock outright.
- •You want capped downside. Unlike owning stock, your loss is strictly limited to the premium paid regardless of how far the stock falls.
- •Implied volatility is low. Low IV means cheaper calls. You pay less for the same notional exposure.
The main risk with long calls is time decay. The option loses value every day even if the stock stays flat. You need the move to happen quickly enough — the further out the expiration, the more time you have, but the more expensive the option.
7. Free Long Call Calculator
Model any long call instantly — enter stock price, strike, premium, and expiration to see your breakeven, max loss, and a full P&L chart across all price scenarios. No signup required.
Open Long Call Calculator