Synthetic Put Calculator
Model your synthetic put before you place it. Enter your short stock position and long call to instantly see max profit, capped max loss, breakeven, and a full P&L diagram for your synthetic put position.
How to Use This Calculator
Enter your short stock position and long call and the calculator handles the rest. Results update instantly as you type.
Pull current market data (optional)
Type a ticker like AAPL and click Get Price. The calculator fills in the current stock price, dividend yield, and the risk-free rate from the 13-week T-bill, then loads the option chain so you can pick actual strikes and premiums.
Set up your synthetic put
The synthetic put leg is preloaded for you. Pick the strike, expiration, and premium straight from the option chain, or type your own numbers. The calculator works out implied volatility from the premium you enter, and you can still edit it. The stock leg is included automatically.
Calculate and read the results
Click Calculate P&L to see max profit, max loss, breakeven, return on risk, and probability of profit, plus position Greeks: delta, gamma, theta, vega, and rho.
Stress test before you trade
Drag the view-date slider to see your P&L curve on any day before expiration, shift implied volatility up or down 50 points, and scan the price-by-date P&L table to see how the trade behaves across scenarios.
This synthetic put calculator prices each leg with your choice of an American-style binomial model (the default for US equity options) or European Black-Scholes-Merton, and accounts for dividend yield. You can set a per-contract commission, copy a shareable link to your exact setup, download the chart as a PNG, and switch to dark mode.
Understanding the Synthetic Put
Key numbers every synthetic put trader needs to know before entering the position.
A synthetic put combines a short stock position with a long call at or near the same strike to replicate the payoff of a long put option. The short stock is the bearish engine — it profits as the stock falls. The long call is the protection — it caps the loss if the stock unexpectedly rises, because the call gains value fast enough to offset the short stock losses above the call strike.
The result is a position with a P&L diagram nearly identical to a long put. Below the breakeven the position profits. Above the call strike the loss is capped. The main practical difference from simply buying a put is that the synthetic put requires an actual short stock position, which involves margin requirements, borrow costs, and the risk of a short squeeze. For most retail traders, buying a put directly is simpler and more capital-efficient.
The synthetic put is most useful when a trader already has an existing short stock position and wants to add defined upside protection without closing the trade. Adding a long call converts the open-ended short into a controlled, hedged position. It is also used in situations where put options are unavailable or illiquid on a particular security, and the trader needs to construct bearish exposure with limited risk from available instruments.
Synthetic Put Example Trade
XYZ is at $100. Short 100 shares at $100. Buy 1 $100 call for $3.00. Net position cost: $3.00 debit.
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Synthetic put — frequently asked questions
A synthetic put combines a short stock position with a long call option to replicate the profit and loss profile of a long put. You profit when the stock falls and your loss is capped if the stock rises, because the long call appreciates to offset the short stock loss above the call strike. It is also called a protective call, because the long call protects an existing short stock position from unlimited upside risk.
The maximum profit on a synthetic put is theoretically very large because a stock can fall all the way to zero. Profit increases dollar for dollar as the stock falls below the breakeven price (short stock price minus call premium paid). If you short at $100 and pay $3.00 for the call, breakeven is $97.00. If the stock falls to $70, profit is ($97 − $70) × 100 = $2,700. If it falls to zero, profit reaches $9,700 per position.
The maximum loss is capped and defined. If the stock rises above the call strike, the long call gains value and offsets the short stock losses, capping the net loss at (call strike − short stock entry price + call premium) × 100. When the call is struck at the same price as the short stock entry, the cap is simply the call premium paid: $3.00 × 100 = $300. This is one of the key benefits over naked short stock, which carries unlimited upside risk.
A long put and a synthetic put produce nearly identical P&L diagrams, but they differ significantly in construction. Buying a put requires only one transaction and no margin for short stock. A synthetic put requires shorting shares (with margin, borrow costs, and short-squeeze risk) plus buying a call. For a standalone bearish trade, buying a put is almost always simpler and more capital-efficient. The synthetic put is most practical when you already hold short stock and want to add defined upside protection without closing the position.
The synthetic put is most useful when you already have a short stock position and want to add a defined loss ceiling without exiting the trade. Buying a call against an existing short converts open-ended risk into a known maximum loss. It is also used when put options are unavailable or illiquid on a specific security, requiring the synthetic construction instead. For traders building a new bearish position from scratch, buying a put outright is usually more practical than constructing the synthetic version.