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| In ], a '''butterfly''' is a limited risk, non-directional ] that is designed to have a large ] of earning a limited profit when the future ] of the underlying asset is expected to be lower than the ]. | In ], a '''butterfly''' is a limited risk, non-directional ] that is designed to have a large ] of earning a limited profit when the future ] of the underlying asset is expected to be lower than the ]. | ||
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| A long butterfly options strategy consists of the following ]: | A long butterfly options strategy consists of the following ]: | ||
| * ] 1 ] with a ] of (X − a) | * ] 1 ] with a ] of (X − a) | ||
| * ] 2 calls with a strike price of X | * ] 2 calls with a strike price of X | ||
| * Long 1 call with a strike price of (X + a) | * Long 1 call with a strike price of (X + a) | ||
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| where X = the spot price and a > 0. | where X = the spot price and a > 0. | ||
| All the options have the same ] date. |
All the options have the same ] date. | ||
| At expiration the value (but not the profit) of the butterfly will be: | At expiration the value (but not the profit) of the butterfly will be: | ||
| * zero if the price of the underlying is below (X − a) or above (X + a) | * zero if the price of the underlying is below (X − a) or above (X + a) | ||
| * positive if the price of the underlying is between (X - a) and (X + a) |
* positive if the price of the underlying is between (X - a) and (X + a) | ||
| The maximum value occurs at X (see diagram). | The maximum value occurs at X (see diagram). | ||
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| == Short butterfly == | == Short butterfly == | ||
| A ] butterfly position will make profit if the future volatility is higher than the implied volatility. | A ] butterfly position will make profit if the future volatility is higher than the implied volatility. | ||
| A short butterfly options strategy consists of the same options as a long butterfly. However now the middle strike option position is a long position and the upper and lower strike option positions are short. | A short butterfly options strategy consists of the same options as a long butterfly. However now the middle strike option position is a long position and the upper and lower strike option positions are short. | ||
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| == Margin Requirements == | == Margin Requirements == | ||
| Margin requirements for all options positions, including a butterfly, are governed by what is known as ]. However brokers are permitted to apply more stringent margin requirements than the regulations. | Margin requirements for all options positions, including a butterfly, are governed by what is known as ]. However brokers are permitted to apply more stringent margin requirements than the regulations. | ||
| == Butterfly Variations == | == Butterfly Variations == | ||
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| | last = McMillan| first = Lawrence G. | | last = McMillan| first = Lawrence G. | ||
| | title = Options as a Strategic Investment | | title = Options as a Strategic Investment | ||
| | edition = 4th |
| edition = 4th | ||
| | publisher = New York : New York Institute of Finance | | publisher = New York : New York Institute of Finance | ||
| | year = 2002 | | year = 2002 | ||
Revision as of 06:25, 5 August 2015
In finance, a butterfly is a limited risk, non-directional options strategy that is designed to have a large probability of earning a limited profit when the future volatility of the underlying asset is expected to be lower than the implied volatility.
Long butterfly
A long butterfly position will make profit if the future volatility is lower than the implied volatility.
A long butterfly options strategy consists of the following options:
- Long 1 call with a strike price of (X − a)
- Short 2 calls with a strike price of X
- Long 1 call with a strike price of (X + a)
where X = the spot price (i.e. current market price of underlying) and a > 0.
Using put–call parity a long butterfly can also be created as follows:
- Long 1 put with a strike price of (X + a)
- Short 2 puts with a strike price of X
- Long 1 put with a strike price of (X − a)
where X = the spot price and a > 0.
All the options have the same expiration date.
At expiration the value (but not the profit) of the butterfly will be:
- zero if the price of the underlying is below (X − a) or above (X + a)
- positive if the price of the underlying is between (X - a) and (X + a)
The maximum value occurs at X (see diagram).
Short butterfly
A short butterfly position will make profit if the future volatility is higher than the implied volatility.
A short butterfly options strategy consists of the same options as a long butterfly. However now the middle strike option position is a long position and the upper and lower strike option positions are short.
Butterfly P/L graph
Since the butterfly options strategy is a complex one and contains 3 "legs" (options with 3 different strike), its P/L graph is quite complicated and changes considerably as time moves forward to the expiration.
This is a graph showing the P/L (profit / loss) for a 1-year butterfly options strategy 5 days before expiry:
Butterfly options strategy P/L graph 5 days prior to expiry.
Margin Requirements
Margin requirements for all options positions, including a butterfly, are governed by what is known as Regulation T. However brokers are permitted to apply more stringent margin requirements than the regulations.
Butterfly Variations
- The double option position in the middle is called the body, while the two other positions are called the wings.
- The option strategy where the middle options (the body) have different strike prices is known as a Condor.
- In case the distance between middle strike price and strikes above and below is unequal, such position is referred to as "broken wings" butterfly.
References
- McMillan, Lawrence G. (2002). Options as a Strategic Investment (4th ed.). New York : New York Institute of Finance. ISBN 0-7352-0197-8.
- Credit By Brokers And Dealers (Regulation T), FINRA, 1986
