Misplaced Pages

Butterfly (options): Difference between revisions

Article snapshot taken from Wikipedia with creative commons attribution-sharealike license. Give it a read and then ask your questions in the chat. We can research this topic together.
Browse history interactively← Previous editNext edit →Content deleted Content addedVisualWikitext
Revision as of 21:19, 13 February 2010 editFreedom2live (talk | contribs)26 edits External links← Previous edit Revision as of 11:16, 14 February 2010 edit undoSwerfvalk (talk | contribs)201 editsNo edit summaryNext edit →
Line 2: Line 2:
] ]


A butterfly ] consists of the following ]: A butterfly is a ] that is used to make profit on a moderate view on the ] of the ].
A ] butterfly options strategy consists of the following ]:
* ] 1 ] with a ] of (X − a) * ] 1 ] with a ] of (X − a)
* ] 2 ] with a ] of X * ] 2 calls with a strike price of X
* ] 1 ] with a ] of (X + a) * Long 1 call with a strike price of (X + a)
where a > 0. where a > 0.


All the ] has the same ] date. All the options has the same ] date.


At expiration of the options the value (but not the profit) of the option strategy will be zero if the price of the ] is below (X−a) or above (X+a). If the price of the underlying is between (X-a) and (X+ a) the option strategy will be worth a positive amount. The expiry payoff function is shaped like an upside-down V, and the maximum value occurs at X (see diagram). At expiration of the options the value (but not the profit) of the option strategy will be zero if the price of the ] is below (X−a) or above (X+a). If the price of the underlying is between (X-a) and (X+ a) the option strategy will be worth a positive amount. The expiry payoff function is shaped like an upside-down V, and the maximum value occurs at X (see diagram).


Using ] a butterfly can also be created as follows: Using ] a long butterfly can also be created as follows:
* ] 1 ] with a ] of (X + a) * Long 1 put with a strike price of (X + a)
* ] 2 ] with a ] of X * Short 2 puts with a strike price of X
* ] 1 ] with a ] of (X − a) * Long 1 putwith a strike price of (X − a)
where a>0 where a>0

This is a combination of a ] and a ].


The double option position in the middle is called the body, while the two other positions are called the wings. A related strategy where the middle two positions have differing strike values is known as an ]. The double option position in the middle is called the body, while the two other positions are called the wings. A related strategy where the middle two positions have differing strike values is known as an ].

Revision as of 11:16, 14 February 2010

Payoff chart from buying a butterfly spread.
Profit from a long butterfly spread position. The spread is created by buying a call with a relatively low strike (x1), buying a call with a relatively high strike (x3), and shorting two calls with a strike in between (x2).

A butterfly is a options strategy that is used to make profit on a moderate view on the volatility of the underlying.

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 a > 0.

All the options has the same expiration date.

At expiration of the options the value (but not the profit) of the option strategy will be zero if the price of the underlying is below (X−a) or above (X+a). If the price of the underlying is between (X-a) and (X+ a) the option strategy will be worth a positive amount. The expiry payoff function is shaped like an upside-down V, and the maximum value occurs at X (see diagram).

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 putwith a strike price of (X − a)

where a>0

This is a combination of a bull put spread and a bear put spread.

The double option position in the middle is called the body, while the two other positions are called the wings. A related strategy where the middle two positions have differing strike values is known as an Iron condor.

In an unbalanced butterfly the variable "a" can have 2 different values.

Long butterfly

The butterfly spread is a neutral options trading strategy that is a combination of a bull spread and a bear spread. It is a limited profit, limited risk options strategy. There are 3 striking prices involved in a butterfly spread and it can be constructed using calls or puts.

Long butterflies are entered when the investor thinks that the underlying stock will not rise or fall much by expiration (i.e. when the investor is bearish on volatility). Using calls, the long butterfly can be constructed by buying one lower striking in-the-money call, writing two at-the-money calls and buying another higher striking out-of-the-money call. A resulting net debit is taken to enter the trade, hence it is also a debit spread.

A long butterfly spread can also be constructed using puts and is known as a long put butterfly. The long put butterfly spread is a neutral options trading strategy that is a combination of a bull put spread and a bear put spread. It is a limited profit, limited risk options trading strategy that is taken when the options trader thinks that the underlying stock will not rise or fall much by expiration. There are 3 striking prices involved in a long put butterfly spread and it is constructed by buying one lower striking put, writing two at-the-money puts and buying another higher striking put for a net debit.

Short butterfly

Short butterfly is the name of a neutral-outlook, options trading strategy that involves trading options at three different strike prices. The short butterfly is a neutral strategy like the long butterfly spread but bullish on volatility. It is a limited profit, limited risk options trading strategy and it can be constructed using calls or puts.

Using calls, the short butterfly can be constructed by writing one lower striking call, buying two at-the-money calls and writing another higher striking call. A net credit is received upon entering this spread. Hence, the short butterfly is also a credit spread.

References

  • McMillan, Lawrence G. (2002). Options as a Strategic Investment (4th ed. ed.). New York : New York Institute of Finance. ISBN 0-7352-0197-8. {{cite book}}: |edition= has extra text (help)

External links

Derivatives market
Derivative (finance)
Options
Terms
Vanillas
Exotics
Strategies
Valuation
Swaps
Exotic derivatives
Other derivatives
Market issues
Categories: