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Option Strategies Details

Setup

Sell one ATM Put and buy one ATM Call

Typical Application

1. Speculate on increasing price and increasing volatility 2. Hedge an equity position (because a synthetic long behaves almost exactly like long stock)

Volatility forecast

Up

Price forecast

Up

Breakeven

N/A

PnL Equivalent

Long 100 Shares of Stock

Max contract loss

Theoretically very high (if the stock goes to $0)

Max position loss

same as Max Contract Loss

Synthetic Long

2 Legs
debit
credt
Advanced ** Risk of Ruin
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Other names

Long Combo

You sell one ATM Put and buy one ATM Call

Description

A trader who wants to speculate on increasing price and increasing volatility can open a Synthetic Long. The trader may pay a small debit, receive a small credit, or open the trade for exactly $0.

Suppose stock XYZ is trading at $27. You forecast an increase in price and an increase in volatility.

You open a $27 Synthetic Long at exactly $0.00, no cost, to express this view. How is this possible? The $27 Put bid price is $3.25 and the $27 Call ask price is also $3.25, so when you sell the $27 Put you receive exactly $3.25 and you use that credit to pay for the $27 Call.

The breakeven price for this trade is the exact price of the underlying when you entered since this structure behaves almost exactly like owning 100 shares of XYZ: theta, vega, and gamma are all roughly zero and delta is roughly +100.

The max loss on this position at expiry is theoretically very high but capped, since XYZ price can only decrease to zero. The max gain of a Synthetic Long is theoretically unlimited, since XYZ price can increase indefinitely. Since the loss on a Synthetic Long is theoretically very high (but not technically unlimited), this structure carries a high "risk of ruin". The unlimited loss can be mitigated by buying a further OTM Put, which caps downside losses but makes the position more expensive to open (i.e. the debit becomes larger) and removes some of the similarities to owning 100 shares: theta becomes negative, vega and gamma become positive, and delta drops below +100.