Short strangle is a non-directional option strategy with two legs. It has unlimited loss and limited profit.

## Setup

Short strangle is the inverse position to long strangle. It includes two short options, one call and one put, with same expiration date. The defining characteristic of short strangle (and the difference from short straddle and short guts) is that **the call strike is higher than the put strike**.

To open a short strangle position:

- Sell a put option.
- Sell a call option with
*higher*strike and same expiration.

The number of call and put contracts sold must be the same.

## Example

Let's say the underlying stock is currently trading at $47.67. If we believe that underlying price will not change must from its current level and/or volatility will decrease, we can set up a short strangle with the following two transactions:

- Sell 45 strike put option for 1.87 per share (and receive $187 for one contract).
- Sell 50 strike call option for 2.02 (and receive $202 for one contract).

## Cash Flow

Because short strangle only includes short options, its initial cash flow it positive and equals premium received for both the calls and the puts:

**Short strangle initial cash flow = call premium received + put premium received**

In our example, initial cash flow is 1.87 + 2.02 = 3.89 per share or $389 for one contract.

## Payoff at Expiration

The short strangle strategy is typically used when we expect volatility to decrease and underlying price to not move much.

### Payoff Diagram

The payoff diagram looks quite like short straddle, only with a gap between the call and put strike. Between the strikes, total profit is constant (horizontal line). Above the (higher) call strike and below the (lower) put strike, the P/L line decreases and eventually crosses into the loss territory.

### Maximum Profit

The best case scenario is that underlying price stays between the two strikes at expiration and both short options expire worthless. We keep the entire premium received at the beginning. This is the maximum possible profit.

**Short strangle max profit = initial cash flow = premium received**

### Maximum Loss

The further underlying price moves from the strikes, either up above the call strike or down below the put strike, the smaller the profit or (eventually) greater the loss. Maximum loss is unlimited, as underlying price can theoretically go to infinitely high levels.

**Short strangle max loss = infinite**

On the downside, maximum loss is limited by underlying price falling to zero:

Short strangle loss at zero underlying price = put strike – premium received for both options

### Break-Even Points

There are two break-even points: one below the put strike and the other above the call strike. It is always the underlying price at which the respective option is in the money by an amount equal to premium received for both options.

**Short strangle B/E #1 = put strike – premium received**

**Short strangle B/E #2 = call strike + premium received**

## Strike Selection

The position's risk profile is greatly affected by strike selection. It has two parts. Strike location relative to underlying price affects the position's directional exposure, while width of the gap between the two strikes decides the size of maximum profit and width of the profit window (and thereby probability that the trade ends up profitable).

### Strike Location Relative to Underlying Price

The most common approach when opening a short strangle position is for the call and put strikes to be approximately the same distance from current underlying price (in other words, underlying price is about halfway between them). This makes the position neutral in terms of underlying price direction (delta is close to zero).

If we consider a move to one side more likely than to the other, short strangle can be set up with directional bias by choosing one strike closer to the underlying price than the other.

For example, with underlying price at 47.67, a short strangle with strikes 45 and 50 is approximately neutral, but with strikes 50 and 55 is it bullish, because the window of maximum profit is above the current underlying price and we need an upside move (although not too big) to make the trade profitable.

Conversely, strikes 40 and 45 would create a bearish short strangle.

### Strike Distance

Strike distance (the width of the gap between the call and put strike) affects the premium collected when opening the position and therefore also the maximum possible profit. At the same time, because maximum profit is reached when underlying price ends up between the strikes, the strike distance also affects the probability that maximum profit is made.

There is a trade-off:

Choosing *wider* gap between strikes makes maximum profit *smaller* (because the options are further out of the money when we sell them at the beginning), but *more likely* (because the window of profit is wider).

Conversely, a *narrower* gap between strikes makes maximum profit *higher*, but *less likely*.

An extreme case of this is the short straddle strategy, where both strikes are the same, maximum profit is higher than with short strangle, but it is only reached at one point – exactly at the strike.

## Greeks

### Delta

When opened with underlying price halfway between the two strikes, short strangle is approximately delta neutral.

Delta gets positive when underlying price falls towards (and beyond) the lower put strike. Conversely, it gets negative when underlying price goes up.

### Gamma

The above mentioned relationship between underlying price and delta indicates that losses accelerate, while profits slow down. Short strangle has negative gamma, as it only includes short options.

### Theta

Theta is positive, as the short strangle position benefits from loss of the short options' time value.

### Vega

The main motivation for a short strangle trade is often a decrease in implied volatility. The position has negative vega – it profits when volatility goes down.

## Related Strategies

- Long strangle – the inverse position (long put + long call with higher strike)
- Short straddle – short call and short put with the same strike
- Short guts – the order of strikes reversed (put strike is higher)
- Covered short strangle – short strangle with long underlying position
- Iron condor – short strangle hedged with long strangle with wider strike gap