Chapter 3: Payoff Diagrams for Long Calls & Puts

If Chapter 2 taught you what an option is made of, this chapter teaches you how to see an option's profit and loss potential at a glance. Payoff diagrams are one of the most powerful tools in an options trader's toolkit — they turn abstract numbers into a visual story of risk and reward.

By the end of this chapter, you should be able to sketch a payoff diagram on paper for any long Call or long Put position within seconds.

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3.1 What Is a Payoff Diagram?

A payoff diagram (also called a P&L diagram) is a simple graph that shows the profit or loss of an options position at expiry, across a range of possible prices for the underlying asset.

• The X-axis represents the price of the underlying (e.g., Nifty, BankNifty, Reliance) at expiry.
• The Y-axis represents the profit or loss in rupees.

Note: Payoff diagrams typically show P&L at expiry, not at some point during the option's life. Before expiry, time value adds a "cushion" or "cost" that makes the actual P&L curve smoother (curved) rather than a sharp, kinked line. We focus on the expiry diagram first because it's the simplest and most foundational to understand.

Every payoff diagram has three critical features you must learn to identify:

1. Maximum Loss — the worst-case scenario, in rupees.
2. Maximum Profit — the best-case scenario, in rupees.
3. Breakeven Point — the underlying price at which the position neither makes nor loses money.

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3.2 Long Call: Buying the Right to Buy

When you buy a Call option, you are purchasing the right (not the obligation) to buy the underlying asset at the strike price, on or before expiry. You pay a premium for this right.

Traders buy Calls when they have a bullish view — they expect the underlying price to rise.

Real Example — Reliance Industries

• Reliance current price: ₹2,950
• You buy a 2,950 CE (ATM Call) at a premium of ₹45
• Lot size: 500 shares
• Total premium paid = ₹45 × 500 = ₹22,500

Payoff Formula for Long Call

Profit/Loss = MAX(Spot Price at Expiry − Strike Price, 0) − Premium Paid

Let's calculate the outcome across a few scenarios:

Key Characteristics of a Long Call

• Maximum Loss: Limited strictly to the premium paid (₹22,500 in this case), no matter how far the price falls. This occurs at any price at or below the strike.
• Maximum Profit: Theoretically unlimited. As Reliance's price climbs higher and higher, your profit grows with no cap, since a stock price has no theoretical upper limit.
• Breakeven Point:

Breakeven (Long Call) = Strike Price + Premium Paid = 2,950 + 45 = ₹2,995

Below ₹2,995, the position is at a loss (capped at −₹22,500). Above ₹2,995, the position starts generating profit, and that profit is unlimited in theory.

Why is the shape of the graph important? Notice that losses are flat below the strike (you don't lose more just because the stock falls further — you already lost the max, the premium) but gains are linear and open-ended above the breakeven. This asymmetry — capped, defined risk versus uncapped reward — is the single biggest reason retail traders are drawn to buying options.

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3.3 Long Put: Buying the Right to Sell

When you buy a Put option, you are purchasing the right (not the obligation) to sell the underlying asset at the strike price, on or before expiry.

Traders buy Puts when they have a bearish view — they expect the underlying price to fall.

Real Example — BankNifty

• BankNifty current level: 51,200
• You buy a 51,200 PE (ATM Put) at a premium of ₹210
• Lot size: 15
• Total premium paid = ₹210 × 15 = ₹3,150

Payoff Formula for Long Put

Profit/Loss = MAX(Strike Price − Spot Price at Expiry, 0) − Premium Paid

Key Characteristics of a Long Put

• Maximum Loss: Limited strictly to the premium paid (₹3,150 in this case), regardless of how high the underlying rises. This occurs at any price at or above the strike.
• Maximum Profit: Large but not infinite — because a stock or index price cannot theoretically fall below zero. The maximum theoretical profit occurs if the underlying crashes to ₹0.

Max Profit (Long Put) = Strike Price − Premium Paid (in the extreme case the underlying falls to zero) = 51,200 − 210 = 51,000 points (a very large, though not literally "unlimited," profit)

• Breakeven Point:

Breakeven (Long Put) = Strike Price − Premium Paid = 51,200 − 210 = 50,990

Above 50,990, the position is at a loss (capped at −₹3,150). Below 50,990, the position starts generating profit, and that profit grows the further BankNifty falls — all the way down toward zero.

Note: Traders often say Call buyers have "unlimited" upside and Put buyers have "limited but very large" upside. This distinction is technically correct — a stock can theoretically rise forever, but it can only fall to zero. In practical trading terms, however, both are often described as having asymmetric, favorable risk-reward profiles compared to their maximum loss.

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3.4 Side-by-Side Comparison: Long Call vs Long Put

Warning: "Limited loss" refers to loss per lot/position — it does not mean the loss is small in absolute terms. Premiums on volatile stocks or during high-IV periods (like around results/budget days) can be substantial. Always size your position according to your risk tolerance, not just because "the loss is capped."

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3.5 Reading the Curve: A Practical Trading Lens

Understanding these diagrams isn't just an academic exercise — it directly shapes how you should think about trades:

• Distance to breakeven matters. An option that is deep OTM may look "cheap," but its breakeven could be far away from the current price, requiring a large move just to reach zero P&L, let alone profit.
• Time works against you before expiry. Remember from Chapter 2: this diagram shows P&L at expiry. If you're evaluating your position before expiry, the actual curve is smoother due to remaining time value — you could be sitting at a small loss even if the spot price has already crossed your breakeven, simply because time value hasn't fully decayed yet.
• Symmetry helps you plan exits. Because maximum loss is always known and fixed the moment you buy the option, you can calculate your worst-case scenario in rupees before you even enter the trade — a discipline every options trader should build early.

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3.6 Chapter Summary

• A payoff diagram visually maps profit/loss against the underlying's price at expiry.
• Long Call: Maximum loss = premium paid; maximum profit = theoretically unlimited; breakeven = strike + premium. Profitable when the underlying rises.
• Long Put: Maximum loss = premium paid; maximum profit = large (capped by price hitting zero); breakeven = strike − premium. Profitable when the underlying falls.
• Both strategies share a defining trait: defined, limited risk paired with asymmetric, favorable reward potential — the core appeal of buying options.
• Payoff diagrams are calculated at expiry; real-time P&L before expiry is smoother due to remaining time value.

Coming Up in Chapter 4: We'll flip the perspective and explore what happens when you sell (write) Calls and Puts instead of buying them — including why sellers face the mirror-image risk profile, with limited profit and potentially large losses.