Synthetic Long Put
Short underlying plus a long at-the-money call reproduces the payoff of a long put.
Quick answer: A Synthetic Long Put is a short position in the underlying combined with a long at-the-money call, a pairing whose payoff matches an ordinary long put. Put-call parity makes them equivalent; the loss is capped near the call premium and the gain is finite, limited by the underlying reaching zero.
In simple words
A synthetic long put builds the payoff of a put from two pieces: you short the underlying, so you gain when it falls, and you buy a call to cap the risk if it rises instead. Together the shape matches simply owning a put. Like the put it copies, the profit is large but finite, since the underlying can only fall to zero. In India this is awkward for retail because you cannot carry a short in the cash market overnight, so it is normally built with futures, and it remains mostly a concept and arbitrage tool rather than a retail trade.
Payoff diagram
Profit & loss at expiry — Synthetic Long Put
Illustrative NIFTY legs, spot 24,000. Every strategy on this site is priced off one arbitrage-consistent option chain, so no two pages imply different option prices. Figures are per unit; one NIFTY lot is 75 units at the time of writing. The dashed line is the position's theoretical value today, before time decay has run.
| Leg | Action | Type | Strike | Premium | Qty |
|---|---|---|---|---|---|
| 1 | Sell | Underlying | 24,000 | — | 1 |
| 2 | Buy | Call | 24,000 | ₹437 | 1 |
Professional explanation
Put-call parity, mirrored
The same parity that builds a synthetic call builds a synthetic put. Rearranging C = P + S − Ke^(−rT) gives P = C − S + Ke^(−rT): a put equals a long call plus a short underlying plus cash. So shorting the underlying and buying an at-the-money call reproduces the payoff shape of a long put. It is an arbitrage identity — if the synthetic and the listed put diverged beyond costs, a desk could lock a riskless spread. As with the synthetic call, this equivalence is what enforces internal consistency across the option chain, and it is the reason the two constructions are treated as genuinely the same payoff, not merely similar.
Where the cap and the finite gain come from
Above the call strike, every rupee the short underlying loses is recovered by the long call, so the loss stops — floored near the call premium, exactly as a real put's loss is capped at its premium. Below the strike the call lapses and the short underlying's gains accrue as the market falls. Crucially the gain is finite: the underlying can fall only to zero, so the maximum profit is the strike minus the call premium, just as with a long put. With the underlying at 24,000 and the 24,000 call at 437, the floor is 437 and the maximum gain is 24,000 − 437 = 23,563 per unit, reached only at zero.
The short-selling problem in India
The clean construction requires shorting the underlying and carrying it to expiry. In the Indian cash market, retail short sales cannot be held overnight — they must be squared off intraday under SEBI's framework — so a multi-day synthetic put cannot be built on cash shares. The practical route is to short a NIFTY future, which can be carried, but futures embed financing and must be rolled, changing the carry term in parity so the synthetic is no longer a costless mirror of the put. This constraint is the single biggest reason the synthetic long put is a conceptual and institutional tool rather than a retail structure in India.
When it is actually used
The synthetic long put matters mainly to arbitrageurs converting between a put, a call and the underlying, and to a trader who is already short the underlying via futures and buys a call to cap the risk of a bounce — which is simply a protective call on a short. As a deliberately-opened retail bearish bet on an index it is rarely efficient: the outright put has the same payoff, needs only its premium, and avoids the short-selling and carry complications entirely. So the honest description is that it explains how puts, calls and the underlying interlock, and is traded synthetically by desks, but is seldom the sensible retail path to a bearish position.
Construction
- Short the underlying — for an index, a NIFTY future, since cash-market shorts cannot be carried overnight by retail.
- Buy one at-the-money call for each unit shorted, to cap the risk of a rise.
- The combined position now mirrors a long put struck at the call's strike; the call premium sets the floor.
- Manage to the call's expiry, then roll the call and the short future or unwind both together.
Market outlook
A trader might study a synthetic long put to understand parity, or when already short the underlying via futures and buying a call to cap a bounce, rather than as a fresh bet. As a long-premium construction it reads most favourably when implied volatility is low, so the call leg is cheap. But for a straightforward bearish view on NIFTY the outright put has the identical payoff without the short-selling constraint or futures carry, so the synthetic's rationale is largely conceptual or situational. It is invalidated as a retail choice by the overnight short-sale restriction and the capital and carry the futures leg demands.
Risk profile
A synthetic long put is a defined-risk position. The maximum loss is capped near the call premium: above the strike the long call offsets the short underlying's loss rupee-for-rupee, so the payoff stops rising against you — exactly as a real put's loss is capped at its premium. The cap comes from the call leg, not from anything about the short itself, which unhedged would carry open-ended risk on a rise. Built on a futures proxy, financing and roll costs shift the effective floor slightly, so the synthetic is not a perfectly costless mirror of the put it imitates.
Maximum loss, stated three ways
As a formula: Call premium × lot size (plus any futures carry) — the floor set by the long call.
Computed from the illustrative legs: ₹437 per unit, i.e. ₹32,775 for one NIFTY lot of 75.
Breakeven: Call strike − premium paid. → 23,563.
Reward profile
The reward is finite, matching a long put: below the call strike the call lapses and the short underlying gains as the market falls, but only to zero, so the maximum profit is the strike minus the call premium. With the 24,000 call at 437 that ceiling is 23,563 per unit — large but bounded, reached only if the underlying hit zero. Breakeven is the strike minus the call premium. Realistic gains come from ordinary declines, less the call's cost and the carry on the short futures leg.
Maximum profit
As a formula: (Call strike − premium) × lot size — reached only if the underlying falls to zero; the finite ceiling, as with a long put.
Computed from the illustrative legs: ₹23,563 per unit, i.e. ₹17,67,225 for one NIFTY lot.
Margin requirement
The call is fully paid. The capital burden is the short underlying leg: retail cannot carry a cash-market short overnight, so the position uses a short NIFTY future, which attracts SPAN and exposure margin — so 'short stock at 24,000' is a stand-in for the futures short actually used. This margin can rise sharply with volatility and is revised periodically by brokers and NSE. The futures carry also alters the parity arithmetic, which is why the synthetic is capital-heavy compared with an outright put that needs only its premium.
Greeks exposure
Negative — net short the underlying, so the position gains as it falls; the long call trims the short delta above the strike toward zero.
Positive — supplied by the long call, which makes delta rise toward zero as the underlying climbs, capping the loss on a bounce.
Negative — the long call decays over time, the running cost of the synthetic just as time decay costs a real long put.
Positive — from the long call, so rising implied volatility raises the position's value and falling volatility lowers it, mirroring a long put's vega.
Small — the call contributes a slight positive rho, offset by the carry on the short underlying proxy; minor for short-dated positions.
The sign on each Greek above is computed, not asserted: it is the net exposure of the illustrative legs at spot 24,000 with 30 days to expiry, priced with Black–Scholes using each leg's implied volatility calibrated from its own quoted premium. A sign can flip as the underlying moves — the panels below show where. See Methodology.
Net Greeks across underlying prices
Each panel shows the whole position's net Greek, not one leg's. The dashed vertical is the reference spot.
Volatility impact
Through the long call, the synthetic long put carries positive vega, like the real put it imitates. Rising implied volatility raises the call's value and lifts the position; falling volatility reduces it. The vega-crush caution applies: buying the call into an event at inflated implied volatility means overpaying for the leg, and the post-event volatility collapse can cost you even on a correct bearish move. Note that the synthetic uses a call, whereas the equivalent outright put is exposed to the put skew — so their volatility sensitivities are close but the pricing reflects the different legs, one reason the synthetic and the listed put trade near but not exactly equal.
Sensitivity to implied volatility
Position P&L with the underlying pinned at spot and 30 days to expiry, as implied volatility alone moves. This isolates vega from delta.
Time decay
Theta works against the synthetic through the long call, which decays daily and faster near expiry — the same time cost as a real long put. In clean parity the decay of the synthetic and of the equivalent put are the same payoff and so identical. Built on a short future, the carry adds a separate time-related cost, so the synthetic can bleed slightly more or less than the outright put depending on the financing. Rolling the call and the future to maintain the structure means repeatedly paying these costs.
Value of the position as expiry approaches
Underlying held still at spot; only time passes. An upward slope means time is working for the position, a downward slope means against it.
Practical examples
NIFTY example
With the underlying proxy short at 24,000, buy the 24,000 call at 437 (30-day chain). The call costs 437 × 75 = ₹32,775, which is the floor: above 24,000 the call's gains offset the short's losses, so the loss stops at −₹32,775. Breakeven is 24,000 − 437 = 23,563. If NIFTY falls to 23,000, the gain is (24,000 − 23,000 − 437) × 75 = 563 × 75 = ₹42,225. The finite maximum, at zero, is (24,000 − 437) × 75 = 23,563 × 75 = ₹17,67,225. Compare the outright 24,000 put at 309: the shape matches, but the synthetic requires carrying a short future. Figures exclude charges and carry.
BANKNIFTY example
Illustrative BANKNIFTY figures: with the proxy short near 52,000 and lot size 30, buy the 52,000 call at around 1,050 per unit, given BANKNIFTY's higher implied volatility. The call costs 1,050 × 30 = ₹31,500, the floor above 52,000. Breakeven is 52,000 − 1,050 = 50,950. If BANKNIFTY falls to 50,000, the gain is (52,000 − 50,000 − 1,050) × 30 = 950 × 30 = ₹28,500. The finite maximum, at zero, is (52,000 − 1,050) × 30 = ₹15,28,500. These premiums are illustrative.
Lot sizes used above (NIFTY 75, BANKNIFTY 30) are those in force at the time of writing; NSE revises them periodically. Figures exclude brokerage, STT, exchange charges, stamp duty and GST, all of which materially affect small spreads.
Common mistakes
- Opening a synthetic long put as a fresh bearish bet when an outright put gives the same payoff without the short-selling constraint or futures carry.
- Trying to build it on cash-market shares, which retail cannot short overnight, so the position cannot be carried past intraday and the construction fails.
- Treating 'short NIFTY' as literal spot, when the short leg must be a future whose carry and roll break the clean parity equivalence with the real put.
- Describing the payoff as unlimited profit — the underlying can only fall to zero, so the gain is capped at strike minus call premium, a finite figure.
- Buying the call leg into an event at inflated implied volatility, so the vega crush erases value even when the underlying falls.
- Ignoring that shorting a future carries margin that can rise sharply on a rally, forcing capital additions even though the option leg caps the eventual loss.
Advantages & disadvantages
Advantages
- The payoff is identical to a long put — capped loss, finite gain on a fall — derived from put-call parity rather than assumed.
- For a trader already short the underlying via futures, buying a call converts the short into this defined-risk structure.
- The loss is capped near the call premium, so a bounce cannot inflict the open-ended loss an unhedged short would.
- It makes the interlocking of puts, calls and the underlying explicit, useful for understanding and for arbitrage checks.
Disadvantages
- It cannot be built on cash shares by retail, which cannot carry a short overnight, forcing the use of a futures leg.
- The futures short ties up substantial margin that can rise on a rally, plus carry and roll costs that break the clean equivalence.
- It ties up far more capital than the equivalent outright put for exactly the same payoff.
- As a deliberate retail bearish bet it is rarely efficient — it is a concept and arbitrage tool more than a practical structure.
Adjustments & exits
- A trader may roll the call forward to maintain the synthetic, paying fresh premium each cycle as with any long-option roll.
- Rolling the short future forward at expiry keeps the underlying leg alive, incurring the roll spread and financing each time.
- Buying back the short future and keeping only the call leaves a plain long call — a bullish position — so the legs must generally be managed together.
Adjustment is a decision about risk, not a way to rescue a losing view. See Adjustments and Exit Planning.
Professional usage
Arbitrage and market-making desks use synthetic puts routinely, converting between a put, a call and the underlying via parity to manage inventory or capture mispricing. A desk short the underlying can quote or hold a call to reshape its risk into a put profile, or trade the synthetic against the listed put when the two diverge beyond financing and transaction costs, which helps keep the chain consistent. Retail traders cannot match this: without the ability to carry cash shorts, cheap financing and cross-margining, the synthetic is capital-heavy and constrained, so for an individual its value is conceptual — understanding parity — rather than a route to a bearish position.
Key takeaway
A synthetic long put is short underlying plus a long at-the-money call, and by put-call parity it has the exact payoff of a long put — finite gain, capped loss — but India's ban on carrying retail cash shorts overnight means it must be built with futures, leaving it a concept and arbitrage tool rather than an efficient retail short.
Frequently asked questions
What is a synthetic long put?
How does put-call parity build a synthetic put?
What is the maximum loss on a synthetic long put?
Is the profit on a synthetic long put unlimited?
What is the breakeven?
Why is it hard to build in India?
Can I short NIFTY shares to build this?
Does a synthetic long put have defined risk?
Why not just buy a put instead?
How is it different from a naked short future?
How does volatility affect a synthetic long put?
How does time decay affect it?
How much capital does a synthetic long put need?
Who actually uses synthetic long puts?
Can I convert an existing short into a synthetic long put?
What happens at expiry?
Is a synthetic long put suitable for beginners?
Does the futures carry break the equivalence with a real put?
Are the options cash-settled?
Why does the synthetic long put trade close to but not exactly at the listed put price?
Voice search & related questions
Natural-language questions people ask about the Synthetic Long Put.
What is a synthetic long put in simple terms?
Can I make a synthetic long put in India?
Is the profit on a synthetic long put unlimited?
Why not just buy a put instead of building it synthetically?
Does a synthetic long put limit my risk?
Why can't I short NIFTY overnight to build this?
Sources & references
- Hull, Options, Futures and Other Derivatives
- SEBI — Securities Lending and Short Selling
- NSE — Equity Derivatives
Last reviewed 9 July 2026. Educational content only — not investment advice.