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Optionsbeginner

Long Call

A long call is a position created by buying a call option. The buyer pays premium CC for the right to buy the underlying at strike KK on or before expiry. Maximum loss equals CC and is incurred when ST≤KS_T \leq K. Profit potential is unlimited because the upside payoff ST−KS_T - K grows without bound. The expiry profit curve is a hockey stick that sits flat at −C-C up to KK and slopes up at $45^{\circ}$ thereafter.

Why it matters

A long call is a bullish, leveraged bet with built-in stop-loss. The premium is the most you can lose, but you keep all the upside as if you owned the stock above the strike. This is why long calls feel attractive when a trader expects a sharp rally but wants to size the dollar risk precisely. The trade-off is time decay. Even if the bullish view is correct on direction, the position can lose money if the move comes too late or is too small to clear the break-even K+CK + C.

Formulas

Payoff at expiry
Payoff=max⁡(ST−K,0)\text{Payoff} = \max(S_T - K, 0)
Zero below the strike, equal to ST−KS_T - K above it.
Profit at expiry
Profit=max⁡(ST−K,0)−C\text{Profit} = \max(S_T - K, 0) - C
Break-even at ST=K+CS_T = K + C. Maximum loss =−C= -C. Maximum profit is unbounded.

Worked examples

Scenario

Buy a 6-month BHP call with K=K = 45$ at premium C=C = 2.50$. At expiry BHP trades at ST=S_T = 52$.

Solution

Payoff =max⁡(52−45,0)== \max(52 - 45, 0) = 7$. Profit =7−2.50== 7 - 2.50 = 4.50$ per share. On a single ASX contract of 100 shares, that is $450 in profit on $250 of premium, a return of $180\%$ versus roughly $16\%$ on the underlying. This is the leverage effect of long calls.

Scenario

Same call as above, but BHP closes at ST=S_T = 44$ at expiry.

Solution

Payoff =max⁡(44−45,0)== \max(44 - 45, 0) = 0$. Profit =−= -2.50,a100%lossofpremium.Thestockfellonlyabout, a 100\% loss of premium. The stock fell only about 2\%$ from the strike, yet the option investment lost everything. Long-call buyers experience this regularly when expiry arrives before the bullish thesis plays out.

Common mistakes

  • ✗You must exercise an ITM call at expiry. You can sell the option in the market at any time, which captures both intrinsic and any remaining time value. Most ITM ASX equity options are exercised automatically by ASX Clear, but trading the option before expiry is usually more flexible.
  • ✗Long calls always beat owning the stock if you are bullish. They beat the stock only above the break-even K+CK + C. If the stock rises modestly and finishes between KK and K+CK + C, the long call buyer loses money while a stockholder profits.
  • ✗A long call's risk grows with the stock price. The maximum loss is the premium CC, regardless of how far the stock falls. This is the headline appeal of buying calls versus shorting puts or selling the stock outright.

Revision bullets

  • •Buy a call to pay CC for the right to buy at KK
  • •Max loss =C= C when ST≤KS_T \leq K
  • •Unbounded upside above KK
  • •Break-even at ST=K+CS_T = K + C
  • •Bullish view with defined risk

Quick check

The maximum loss for a long call holder is:

Buy a call with K=K = 100$ and C=C = 5$. The stock closes at ST=S_T = 112$. Profit per share is:

Connected topics

Short CallLong StraddleSynth. Call

In learning paths

Options Path

Sources

  1. Hull (2022), §10.4, §12.1
    Hull, John C. Options, Futures, and Other Derivatives. 11th ed. Pearson, 2022. ISBN 978-0-13-693997-9.
    Develops the payoff and profit diagrams for long call positions, including leverage and break-even analysis.
  2. McMillan (2012), Ch. 3
    McMillan, Lawrence G. Options as a Strategic Investment. 5th ed. Prentice Hall Press, 2012. ISBN 978-0-7352-0466-2.
    Classic practitioner treatment of the long call as the most basic bullish strategy, with comparisons to stock ownership.
  3. OIC Long Call Strategy
    Options Industry Council. Strategy Guide: Long Call. Options Education, accessed 2026.
    Industry strategy guide with explicit profit and loss table, payoff diagram, and break-even formula.
  4. ASX Options Strategies
    Australian Securities Exchange. ASX Options Strategies. ASX Investor Education, accessed 2026.
    Local strategy reference covering the long call profile and its use cases for Australian equity investors.
How to cite this page
Dr. Phil's Quant Lab. (2026). Long Call. Derivatives Atlas. https://phucnguyenvan.com/concept/long-call
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