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TOPIC 3.13

Long Put — Payoff Diagram, Max Profit, Max Loss, Break-even

The Mirror of the Long Call — Built With a Bank Nifty Example That Shows the Full Power of Puts
DIFFICULTY LEVELFoundation — Beginner|TIME TO COMPLETE5-10 Minutes

Introductory Context

"The Long Put payoff diagram mirrors the Long Call — flat maximum loss when underlying stays above strike, a kink at the strike price, and rising profit as underlying falls below break-even. Break-even = strike minus premium. Max loss = premium paid. Max profit is substantial as the underlying falls. "

Building the Long Put Payoff — Bank Nifty Numbers 

Trade parameters: 

•  Underlying: Bank Nifty 

•  Current Bank Nifty spot: 50,800 

•  Strike chosen: 50,500 PE (slightly OTM — expecting a fall) 

•  Premium paid: ₹165 per unit 

•  Lot size: 30 units 

•  Total premium cost: ₹165 × 30 = ₹4,950 

•  Context: one week before the RBI MPC meeting, bearish stance expected 

 

Zone 1 — Above the Strike (Bank Nifty above 50,500 at expiry) 

If Bank Nifty closes above 50,500, the 50,500 PE expires worthless — zero intrinsic value. Total loss = ₹4,950. Whether Bank Nifty is at 50,501 or 55,000, the loss is always exactly ₹4,950. On the diagram: flat horizontal line at −₹4,950, from right to the strike price 50,500. 

Break-Even 

Break-even for a long put = Strike − Premium = 50,500 − 165 = 50,335. At exactly 50,335: intrinsic value = ₹165 per unit, value = ₹4,950, net P&L = ₹0. 

Zone 2 — Below Break-Even (Bank Nifty below 50,335) 

Every point below 50,335 generates ₹30 of net profit (₹1 × 30 units). The profit line rises to the left — as Bank Nifty falls, the put gains value. 

•  At 50,000: intrinsic value ₹500, gross ₹15,000, net profit ₹10,050 

•  At 49,000: intrinsic value ₹1,500, gross ₹45,000, net profit ₹40,050 

•  At 48,000: intrinsic value ₹2,500, gross ₹75,000, net profit ₹70,050 

The RBI Outcome — Walking Through the Scenario 

Arjun bought the Bank Nifty 50,500 PE at ₹165 one week before the RBI MPC meeting, expecting a hawkish surprise. The MPC held rates with more aggressive-than-expected commentary. Bank Nifty fell 1,800 points the following session, closing at 49,000 by weekly expiry. 

Arjun's P&L: at 49,000, his put had intrinsic value ₹1,500/unit. Value = ₹45,000. Net profit = ₹45,000 − ₹4,950 = ₹40,050. Over 800% return on premium in one week — from a correct directional thesis on a high-probability, well-timed catalyst. This is not luck. It is the payoff structure of a long put combined with an informed thesis on a specific market event. 

The Put Payoff Kink — Same Logic, Opposite Direction

The payoff kink for a long put is at the strike price on the left side — the option gains value as the underlying falls through the strike. Below the strike, intrinsic value builds. Above the strike, the line is flat at maximum loss. The shape is the long call diagram rotated 180 degrees horizontally — identical structure, opposite direction. Once you understand one, you understand both.

Long Call vs Long Put — The Mirror Confirmed 

•  flat loss to the left of strike, rising profit to the right. Benefits from rises: Long Call.

•  flat loss to the right of strike, rising profit to the left. Benefits from falls: Long Put. 

•  maximum loss = premium paid. Always known before entry: Both.

•  break-even = strike ± premium (+ for calls, − for puts). Both. 

•  the profit zone is large relative to premium committed: Both. 

This structural symmetry is why calls and puts are described as mirrors. Every principle that applies to one applies to the other — in the opposite direction. Once you deeply understand the long call payoff, the long put requires no new framework — only a change of direction.

Exit Rules for Long Puts 

Identical framework to long calls: 

•  exit when the position has gained 50–80% of premium paid: Profit target. 

•  exit when the option has lost 40% of its value: Stop-loss.

•  if the underlying has not moved in your favour in 3–4 trading days, exit regardless of P&L: Time-based. 

•  if the catalyst you bought the put for has already resolved and the move happened, exit immediately — IV collapse after events will erode gains quickly: Event resolution.

Every payoff diagram tells a complete story before the trade begins: this is what you risk, this is where you break even, this is what you stand to gain if you are correct, and this is the specific underlying level at which each transition occurs. A trader who draws this diagram before entering any position has already thought through every outcome. That preparation is worth more than any indicator or signal.


Frequently Asked Questions

Quiz

You buy 1 lot of Nifty 24,000 PE for ₹150 premium (lot size 75). At expiry Nifty closes at 23,600. What is your net profit?

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Completing the Long Put — Payoff Diagram, Max Profit, Max Loss, Break-even

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Written By: Editorial Team

Disclaimer: While due care has been taken to ensure the accuracy, clarity, and relevance of the information, the content is intended solely for educational purposes. Financial terms and concepts are interpretative tools; readers are strongly advised to verify information from multiple sources and apply their own judgment. This content does not constitute financial, investment, or advisory recommendations of any kind.