Strategic Financial Management · Options

Option Payoff and Profit Diagrams for Calls and Puts

Updated 11 October 2026 · Fact-checked

Payoff is what an option gives at expiry, ignoring the premium. Profit is payoff adjusted for the premium. A call buyer's payoff is max(S − X, 0) and a put buyer's is max(X − S, 0). The writer's figures are the exact negatives. Break-even is X + premium for a call and X − premium for a put.

Understand Option Payoffs and Profit Diagrams

An option gives the buyer a right, not an obligation. A call is the right to buy the underlying at the exercise (strike) price X. A put is the right to sell at X. The buyer pays a premium at the start. The writer (seller) receives that premium and must perform if the buyer exercises.

Start with payoff at expiry. A call buyer exercises only when the spot price S is above X, so the payoff is S − X. Otherwise the call lapses and the payoff is zero. A put buyer exercises only when S is below X, so the payoff is X − S, or zero otherwise. Payoff never goes below zero for the buyer, because the buyer can walk away.

Profit = payoff − premium paid for the buyer. This is why the profit line is the payoff line shifted down by the premium. The buyer's maximum loss is the premium. The writer's position is the mirror image: the writer's profit = premium received − buyer's payoff. Whatever the buyer gains, the writer loses, so the two positions add up to zero (ignoring costs).

For a diagram, put S on the horizontal axis and payoff or profit on the vertical axis. A long call is flat at −premium up to X, then rises at a slope of +1. A long put slopes down at −1 until X, then is flat at −premium. A short call is flat at +premium up to X, then falls at slope −1. A short put rises at slope +1 until X, then is flat at +premium.

The break-even point is the spot price at which profit is zero. For a call it is X + premium. For a put it is X − premium. Below the call break-even the buyer loses part or all of the premium. Above it, the buyer profits. The writer's break-even is the same price, with the sides reversed.

Key rules to remember

Long call payoff: max(S − X, 0); S is the spot price at expiry. The premium is ignored.
Long call profit: max(S − X, 0) − Premium; Maximum loss = premium. Profit is unlimited as S rises.
Short call profit: Premium − max(S − X, 0); Maximum gain = premium. Loss is unlimited as S rises.
Long put payoff: max(X − S, 0); Maximum payoff = X, when S falls to zero.
Long put profit: max(X − S, 0) − Premium; Maximum loss = premium. Maximum profit = X − premium.
Short put profit: Premium − max(X − S, 0); Maximum gain = premium. Maximum loss = X − premium.
Break-even price: Call: X + Premium; Put: X − Premium; Same for buyer and writer of the same option.
Zero-sum rule: Buyer's profit + Writer's profit = 0; Holds for the same option, ignoring brokerage and taxes.

How to solve Option Payoffs and Profit Diagrams questions

Use this sequence for any numerical on option payoff, profit or break-even.

1Identify the position: call or put, buyer or writer.
2Note X, premium, lot size and the spot prices at expiry given.
3Compute the payoff at each spot price using max(S − X, 0) for a call or max(X − S, 0) for a put.
4Adjust for the premium: subtract it for the buyer, add it for the writer, using the sign of the position.
5Multiply by lot size if the question asks for the total in rupees.
6Find break-even: X + premium for a call, X − premium for a put.
7State maximum profit and maximum loss, writing 'unlimited' where it applies.
8If asked to draw, mark X and the break-even on the S axis and plot the flat and sloping segments.

Quickest way: Kink-and-premium shortcut

When to use it: Use when you must sketch a diagram or give quick profit figures in an MCQ.

Mark the kink at X. All payoff lines bend only at X.
Decide the flat side: calls are flat for S below X, puts are flat for S above X.
Set the flat level at −premium for a buyer and +premium for a writer.
Slope on the other side is +1 for a long call, −1 for a long put. Flip the sign for writers.
Break-even is X plus premium for a call and X minus premium for a put. Check that the line crosses zero there.

Common mistakes in Option Payoffs and Profit Diagrams

Treating payoff and profit as the same thing.
Both are measured at expiry and the premium is easy to forget.
Fix: Payoff excludes the premium. Profit includes it. Read the question wording and compute both if unsure.
Using X − premium as the break-even of a call.
Students mix up the call and put rules.
Fix: A call needs S to rise above X by enough to recover the premium, so X + premium. A put needs S to fall, so X − premium.
Showing a negative payoff for the buyer.
Students include the premium inside the payoff.
Fix: The buyer's payoff is never below zero. Only the profit can be negative, and the loss is capped at the premium.
Capping a writer's loss at the premium.
Students copy the buyer's pattern.
Fix: The writer's gain is capped at the premium. A call writer's loss is unlimited. A put writer's loss is at most X − premium.
Ignoring lot size or quoting per-unit figures when a total is asked.
Premiums and strikes are quoted per share.
Fix: Multiply the per-unit result by the lot size at the final step.
Drawing the kink at the break-even instead of at X.
The profit line crosses zero at the break-even, which looks like a turning point.
Fix: The line bends at X. It only crosses the axis at the break-even.

Worked examples

Example 1

A buys a call on a share with strike ₹500 for a premium of ₹20 per share. The lot is 1,000 shares. Find A's profit or loss, and the writer's, if the spot price at expiry is (i) ₹470, (ii) ₹520, (iii) ₹560. Also state the break-even price.

Show the solution

Break-even = 500 + 20 = ₹520.
(i) S = 470 is below X, so the call lapses. Payoff = 0. Buyer's profit = 0 − 20 = −₹20 per share. Total = −₹20,000. Writer gains ₹20,000.
(ii) S = 520. Payoff = 520 − 500 = ₹20. Buyer's profit = 20 − 20 = 0. The writer's profit is also 0.
(iii) S = 560. Payoff = 60. Buyer's profit = 60 − 20 = ₹40 per share. Total = ₹40,000. Writer's loss = ₹40,000.

Answer: Break-even is ₹520. At ₹470 the buyer loses ₹20,000 and the writer gains ₹20,000. At ₹520 both make nil. At ₹560 the buyer gains ₹40,000 and the writer loses ₹40,000.

Example 2

B buys a put with strike ₹300 at a premium of ₹12 per share. Calculate the break-even, the maximum loss, the maximum profit, and the profit at spot prices of ₹320, ₹290 and ₹250. Then give the put writer's result at ₹250.

Show the solution

Break-even = 300 − 12 = ₹288.
Maximum loss for the buyer = premium = ₹12 per share, when S ≥ 300.
Maximum profit occurs if S falls to zero: 300 − 12 = ₹288 per share.
At S = 320: payoff = 0. Profit = −₹12.
At S = 290: payoff = 300 − 290 = 10. Profit = 10 − 12 = −₹2.
At S = 250: payoff = 50. Profit = 50 − 12 = ₹38.
Writer at S = 250: premium received 12 minus payoff 50 = −₹38 per share.

Answer: Break-even ₹288. Maximum loss ₹12, maximum profit ₹288 per share. Profits are −₹12 at ₹320, −₹2 at ₹290 and +₹38 at ₹250. The put writer loses ₹38 per share at ₹250.

Exam tips

Write the position (long or short, call or put) at the top of your answer. It decides every sign.
In MCQs, test the options with one spot price above X and one below. This avoids formula confusion.
Show break-even, maximum profit and maximum loss in a short table-like list even when only one is asked. It earns method marks.
When drawing a graph, label X, the break-even and the premium level on the axes.
Check that the buyer's and writer's figures sum to zero before finalising.

Practice questions from Options

Option Payoffs and Profit Diagrams in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Option Payoffs and Profit Diagrams: frequently asked questions

What is the difference between option payoff and profit?

Payoff is the amount received at expiry from exercising, with no regard to the premium. Profit is payoff minus the premium paid, or premium received minus payoff for a writer. Profit shows your true result.

How do I find the break-even point of a call and a put?

For a call, add the premium to the strike price. For a put, subtract the premium from the strike price. At that spot price at expiry, the buyer and writer both make zero profit.

Is the option writer's payoff the opposite of the buyer's?

Yes. The writer's payoff is the negative of the buyer's, and the writer's profit is the negative of the buyer's profit. The buyer's loss is limited to the premium, but a call writer's loss can be unlimited.

Why is the buyer's loss limited but the writer's loss not?

The buyer has a right and simply lets the option lapse if it is out of the money, so only the premium is lost. The writer is obliged to perform if the buyer exercises, so the writer bears the full adverse price move.