Payoff Diagram
A chart that maps every possible expiry price of an underlying to the net profit or loss of an options strategy — the essential blueprint before entering any trade.
Definition
A payoff diagram (also called a profit/loss diagram or expiry graph) is a two-dimensional chart that shows the net profit or loss of an options position at expiry for each possible price of the underlying. The horizontal axis represents the underlying's price at expiry; the vertical axis represents P&L in rupees after accounting for all premiums paid or received and, where relevant, brokerage and STT. By plotting the combined payoff of all legs, a payoff diagram instantly reveals the break-even point, the zone of maximum profit, and the zone of maximum loss without requiring any Greek calculations or assumptions about time or volatility.
Why it matters
Options strategies can combine two, three, or four legs with different strikes, expiries, and directions, making it impossible to intuitively grasp the risk profile from the leg details alone. A payoff diagram collapses all of that complexity into a single picture. In Indian F&O markets, where lot sizes for Nifty 50 (75 units), Bank Nifty (15 units), and FinNifty (40 units) are fixed by NSE, the diagram is most useful when drawn in total rupee P&L — multiplying per-unit payoffs by lot size and number of contracts. This allows direct comparison with SPAN margin requirements. A defined-risk strategy like a bull call spread, a butterfly, or an iron condor shows clear horizontal caps on both the profit and loss sides; an undefined-risk strategy like a naked short put will show an open-ended downward slope on the left, illustrating theoretically unlimited loss as the underlying falls to zero.
How it works
To construct a payoff diagram manually: list all legs (type, strike, premium, direction). For each candidate expiry price, compute the intrinsic value of each leg and apply its sign (positive for long, negative for short). Sum the intrinsic payoffs across all legs, then subtract net premium paid (or add net premium received). Plot the resulting net P&L as a point. Connect the points — you will observe kinks at each strike, with straight-line segments between them. Key reference lines are the zero axis (break-even), a horizontal cap at maximum profit, and a horizontal floor (or open slope) at maximum loss.
Example
Suppose a trader structures a bull call spread on Bank Nifty: buy the 49,000 CE at ₹180 and sell the 49,500 CE at ₹80, net debit ₹100 per unit. With a lot size of 15, total cost = ₹1,500. At expiry, if Bank Nifty closes below 49,000 both calls expire worthless and the loss is capped at ₹1,500. If Bank Nifty closes at or above 49,500, maximum profit = (500 − 100) × 15 = ₹6,000. Between the two strikes, P&L rises linearly. The break-even is at 49,100. Drawing this on a payoff diagram shows a rising ramp between 49,000 and 49,500 flanked by two flat lines — the defining shape of a debit spread. All prices here are purely hypothetical illustrations.
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