Payoff Logic

I can look at any option position and know, before I ever enter it, exactly where I win, exactly where I lose, and exactly how much either way.

• Read a payoff diagram to find profit or loss at any given underlying price for a single call or put held to expiry.
• Calculate profit/loss as payoff minus premium paid, distinguishing it from payoff (intrinsic value) alone.
• Locate the break-even price for a long call and a long put using strike and premium.
• Identify the maximum loss and maximum gain for a bought call and a bought put, and explain why the shape is asymmetric.

A payoff diagram exists to answer one question honestly: "Across every price this stock could reach, where do I actually make money, and where do I actually lose it?" That's the whole point — not to predict the future, but to map every "if this happens, then this is your result" case, so you judge a trade by its full range instead of the one outcome you're hoping for.

Here's how to read it, using a call option bought at strike ₹1,000 for a premium of ₹40.

First, separate two numbers people mix up: payoff and profit/loss. Payoff is simply what the option is worth at expiry — for a call, that's max(underlying price − strike, 0). If the stock closes below ₹1,000, the call is worth nothing, so payoff is ₹0. If it closes at ₹1,100, payoff is ₹100.

But payoff isn't your result. You already spent ₹40 to buy the option. So:

Profit/Loss = Payoff − Premium paid

Profit/loss is not what the option is worth — it's what it's worth minus what you already spent.

At any stock price below ₹1,000, payoff is ₹0, so profit/loss is ₹0 − ₹40 = −₹40. Notice something: it stays exactly −₹40 no matter how far the stock falls — to ₹900, ₹800, ₹500. That's your maximum loss, and it's capped at the premium you paid. You can't lose more than what you spent to buy the option.

As the stock price rises past ₹1,000, payoff starts growing, and eventually it grows enough to cover the ₹40 you spent. The exact price where profit/loss hits zero is called break-even. For a bought call, break-even = strike + premium = ₹1,000 + ₹40 = ₹1,040.

Below ₹1,040, you're still in a net loss (a shrinking one). Above ₹1,040, you're in net profit, and that profit keeps growing as the stock keeps rising — there's no ceiling on how high the stock can go, so there's no ceiling on the gain.

That's the shape of a bought call: loss capped on one side, break-even in the middle, uncapped gain on the other. It isn't random — it's a direct consequence of subtracting a fixed premium from a payoff that itself has a floor at zero.

Once you can compute payoff, subtract the premium, and locate where that crosses zero, you can read this same shape for a put too — the numbers just mirror in the other direction (break-even = strike − premium).

The formula never changes. Only the inputs — strike, premium, and which direction the payoff floors — do.

Rohan buys one call option on a stock, strike ₹1,000, paying a premium of ₹40. A week before expiry, he decides to actually work out his numbers at five different closing prices, instead of just hoping the stock goes up.

At ₹900: payoff = max(900 − 1000, 0) = ₹0. Profit/loss = 0 − 40 = −₹40. At ₹1,000: payoff = max(1000 − 1000, 0) = ₹0. Profit/loss = 0 − 40 = −₹40. At ₹1,040: payoff = max(1040 − 1000, 0) = ₹40. Profit/loss = 40 − 40 = ₹0 — this is break-even. At ₹1,100: payoff = max(1100 − 1000, 0) = ₹100. Profit/loss = 100 − 40 = ₹60 profit. At ₹1,200: payoff = max(1200 − 1000, 0) = ₹200. Profit/loss = 200 − 40 = ₹160 profit.

Laid out like that, Rohan can see it in one glance: whether the stock crashes to ₹900 or just sits at ₹1,000, his loss never gets worse than ₹40 — the premium he already paid. His break-even is exactly ₹1,040, not ₹1,000, because the stock has to rise enough to cover the premium too, not just clear the strike. And past ₹1,040, his profit keeps climbing with no ceiling — ₹60 at ₹1,100, ₹160 at ₹1,200, and higher still if the stock keeps rising.

Before he ever checks what he could make, Rohan now knows exactly what he could lose, and exactly what price flips the trade from loss to profit.

Point: Profit/loss is not the same as payoff — it is payoff minus the premium already spent — and this single set of numbers reveals break-even, capped maximum loss, and uncapped gain all at once, exactly as the payoff diagram shows them.

The put option mirrors this exact logic — it isn't a new rule, just the same formula pointed the other way. A put's payoff at expiry is max(strike − underlying price, 0): it pays off when the stock falls below strike, not above it.

Take a put with strike ₹1,000 and premium ₹30. If the stock closes at ₹1,100 or higher, payoff is ₹0, so profit/loss is a flat −₹30 — the maximum loss, capped at the premium, same as the call. As the stock falls below ₹1,000, payoff starts growing. Break-even for a put is strike − premium = ₹1,000 − ₹30 = ₹970. Below ₹970, you're in profit, and that profit keeps growing as the stock keeps falling — but only until the stock hits ₹0, because a stock price can't go negative. That's why a put's maximum gain is capped, while a call's isn't: the underlying has a floor at zero, but no ceiling above.

Same formula — payoff minus premium, break-even where that hits zero — just applied on the opposite side of the strike. That's why every shape in this module, however many legs get added later, keeps coming back to this one idea.

• Reading the payoff diagram as a prediction of what the stock will actually do. — The diagram is a clean, confident-looking line, and most charts a learner has seen before show what already happened or what's expected to happen — so it's natural to assume this one is forecasting too. Fix: Remind yourself the diagram only answers 'if this price happens, what's my result' — it says nothing about which price is likely. It's a map of consequences, not a forecast.
• Treating payoff at expiry as the same thing as profit or loss. — It's tempting to look at what the option is worth at expiry and stop there, forgetting that money was already spent to buy it. Fix: Always subtract the premium: Profit/Loss = Payoff − Premium paid. A positive payoff can still be a net loss if it doesn't exceed what you paid.
• Assuming a call is automatically the 'better' choice because its gain is uncapped, while a put's is capped. — Unlimited upside sounds strictly superior, so it's easy to rank the two by that one number alone. Fix: Judge a position by its whole shape — break-even, max loss, and max gain together — not by a single favorable-sounding feature. The right choice depends on your view of the stock, not which side has the bigger number.

• A payoff diagram shows profit/loss across every possible price at expiry — it's a map of consequences, not a prediction.
• Profit/Loss = Payoff − Premium paid; payoff alone is not your result.
• Break-even for a bought call is strike + premium; for a bought put it's strike − premium.
• A bought call's loss is capped at the premium paid, with gain uncapped above break-even; a bought put's loss is capped the same way, but its gain is capped because the underlying can't fall below zero.
• Before judging any trade, find break-even, max loss, and max gain first — the profit potential comes last, not first.

Q1. What does a payoff diagram for an option actually show?

• A prediction of what the stock price will do before expiry
• The profit or loss at every possible underlying price at expiry
• The premium you will pay to buy the option
• The company's future earnings Answer: The profit or loss at every possible underlying price at expiry — A payoff diagram maps profit/loss across every possible price at expiry — it's a map of consequences, not a forecast of what will actually happen.

Q2. Priya buys a call option and at expiry the payoff (intrinsic value) works out to ₹50. She paid a premium of ₹70 to buy the option. What is her profit or loss?

• Profit of ₹50
• Loss of ₹20
• Profit of ₹70
• Loss of ₹70 Answer: Loss of ₹20 — Profit/Loss = Payoff − Premium paid = ₹50 − ₹70 = −₹20, a loss. A positive payoff doesn't automatically mean a net profit once the premium already spent is accounted for.

Q3. A call option has a strike price of ₹500 and the buyer paid a premium of ₹25. At what underlying price does this trade break even?

• ₹475
• ₹500
• ₹525
• ₹550 Answer: ₹525 — For a bought call, break-even = strike + premium = ₹500 + ₹25 = ₹525. Below this price the trade is still in loss; above it, profit begins and grows with no ceiling.

Q4. Nikhil buys a put option with a strike price of ₹800, paying a premium of ₹35. If the underlying stock closes at ₹900 at expiry, what is his profit or loss?

• Loss of ₹35
• Profit of ₹65
• Loss of ₹100
• Profit of ₹35 Answer: Loss of ₹35 — Since ₹900 is above the strike of ₹800, the put's payoff is max(800−900, 0) = ₹0, so profit/loss = 0 − 35 = −₹35, the maximum loss, capped at the premium paid.

Q5. A trader always prefers buying calls over puts, reasoning: "Calls have unlimited upside, puts are capped, so calls are just better trades." Does unlimited theoretical upside make calls the better choice? Reveal: Weak: yes, unlimited gain beats a capped gain, calls win. Strong: judging a position means looking at the whole shape, breakeven, max loss, max gain together — the better choice depends on the actual view of the stock, not which side has the bigger theoretical number.