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Options Strategies

Synthetic Long Stock

Synthetic long stock is an options position that buys a call and sells a put at the same strike and expiration to reproduce the payoff of owning 100 shares.
Also Called
  • Synthetic Long
  • Long Synthetic Stock
  • Long Combo
By InsiderFinance TeamUpdated Sources & Methodology

Synthetic Long Stock Payoff

Synthetic Long Stock PayoffPayoff diagram plotting profit and loss against the underlying price at expiration, breaking even near $101.50.$0−$30−$20−$10+$10+$20$100$101.50Underlying Price at Expiration →
Synthetic Long Stock PayoffPayoff diagram plotting profit and loss against the underlying price at expiration, breaking even near $101.50.$0−$30−$20−$10+$10+$20$100$101.50Underlying Price at Expiration →
ProfitLossPer Share at Expiration

Strike: $100

Breakeven: $101.50

The long 100 call and short 100 put cost $150 together. Expiration breakeven is $101.50. Profit rises $100 for each $1 increase in stock price.
On This Page
  1. What is synthetic long stock?
  2. How to calculate synthetic long stock payoff and breakeven
  3. Worked example
  4. Synthetic long stock and put-call parity
  5. Managing synthetic long stock through expiration
  6. Risks and limitations of synthetic long stock
  7. Bottom line
  8. FAQ

Key Takeaways

  • Synthetic long stock is one long call plus one short put with the same underlying, strike, and expiration.
  • At expiration, the position rises and falls dollar for dollar with the underlying, adjusted by the opening debit or credit.
  • The structure has unlimited theoretical upside and substantial downside if the underlying falls toward zero.
  • Offsetting option sensitivities make the combination stock-like, but financing, dividends, voting rights, and expiration still differ from owning shares.
  • The short put creates assignment, margin, and share-purchase obligations that the long call does not eliminate before expiration.

What is synthetic long stock?

Synthetic long stock is an options position that combines a long call and a short put at the same strike and expiration, reproducing the expiration payoff of 100 shares per standard pair. The position gains and loses dollar for dollar with the stock, adjusted by the opening debit or credit, without buying the shares.

Both legs share the underlying, contract quantity, multiplier, and deliverable. Above the strike, the call contributes the intrinsic value. Below the strike, the short put contributes the loss. The two regions meet in one continuous line, with a gain of $100 for each $1 increase in stock price for a standard pair.

How to calculate synthetic long stock payoff and breakeven

For each unit of underlying, the expiration payoff is stock price minus strike. Subtract the opening net debit, or add the opening net credit, for profit and loss. Multiply by the contract quantity and multiplier for the dollar result.

The example buys the 100 call for $6 and sells the 100 put for $4.50. The $1.50 net debit costs $150. Breakeven is $101.50. A $120 expiration price produces $1,850 profit, and an $80 price produces a $2,150 loss.

At a zero stock price, the loss is $10,150. The upside has no fixed ceiling. Size the trade from those endpoints, because the $150 debit is only the opening cash flow.

Formula

Expiration P/L per share = max(S_T − K, 0) − max(K − S_T, 0) − net debit = S_T − K − net debit
  • S_T is the underlying price at expiration and K is the common strike.
  • Treat an opening net credit as a negative debit; multiply the per-share result by the contract multiplier.

Worked Example

XYZ trades at $100. A trader buys one 100-strike call for $6.00 and sells one 100-strike put for $4.50, both expiring on the same date.

  • Net debit = $6.00 − $4.50 = $1.50 per share, or $150
  • Breakeven at expiration = $100 + $1.50 = $101.50
  • At $120, profit = ($120 − $100 − $1.50) × 100 = $1,850
  • At $80, loss = ($80 − $100 − $1.50) × 100 = −$2,150

Above the strike the call supplies the stock-like gain; below the strike the short put supplies the stock-like loss, producing one continuous linear payoff.

Payoff at expiration

Illustrative figures from this page's example, priced by the InsiderFinance options profit calculator. Probability assumes 25% volatility, a 4% rate and 45 days to expiration.

Max Profit
Unlimited
Max Loss
-$10,150.00
Break-Even
$101.50

Interactive payoff loads as you reach it

Load this setup on live SPY options. Move the strikes and scrub to any date.

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Synthetic long stock and put-call parity

Put-call parity prices the relationship between the two options, the stock, and the financed strike. European call and put values combine into forward exposure. The long call’s vega and the short put’s vega cancel, so implied volatility drops out of the package’s value, and rates and dividends set what the synthetic costs against buying the shares.

Compare the executed option debit with the complete stock alternative: share purchase, funding, dividends, and holding period. The synthetic has an expiration date; actual shares provide shareholder rights and receive declared distributions.

Managing synthetic long stock through expiration

Read both contracts’ exercise style and settlement terms before you trade. An American-style short put is open to early assignment, which buys its deliverable and leaves the long call open. At expiration, exercise of the long call or assignment of the short put buys the shares. Near the strike, final exercise instructions determine which contracts deliver shares, so close the package before expiration when you want no surprise position.

Match the synthetic’s expiration to the trade’s time horizon; options flow shows which expirations and strikes are attracting activity. Choose the intended position after the option trade: close both legs, roll the package, or take delivery. Enter the complete package in the options profit calculator, inspect the full price range, and compare the account’s buying-power requirement with the economic exposure.

Risks and limitations of synthetic long stock

  • Size the position like 100 shares, because the downside matches owning them. The example loses $2,150 at $80 and $10,150 if the stock goes to zero, even though the entry cost is only $150.
  • Keep cash ready for an early assignment. On American-style contracts the short put is open to assignment at any time, which buys 100 shares at the strike and leaves the long call open.
  • Budget the capital from the account’s buying-power requirement for the short put, not the $150 debit.
  • Roll both legs at new prices to hold the exposure past expiration. The synthetic receives no dividends or voting rights.
  • Near the strike at expiration, final exercise instructions decide which contracts deliver shares, and an assignment notice arrives only on the next business day. Close or roll the package before the final bell when you need to know your position.

Bottom line

For a $150 debit, the 100-strike call and short put move like 100 shares, gaining $1,850 at $120 and losing $2,150 at $80. Choose it when the package costs less than buying and funding the shares, size it from that full stock-like downside, and plan the close, roll or delivery before expiration.

Clear answers

Frequently Asked Questions

Sources and Further Reading

  1. OIC: Synthetic Long Stock
  2. OIC: Put/Call Parity
  3. OCC: Characteristics and Risks of Standardized Options

How entries are sourced, calculated and updated: editorial methodology.

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