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The discrete difference equations may then be solved iteratively to calculate a price for the option. [4] The approach arises since the evolution of the option value can be modelled via a partial differential equation (PDE), as a function of (at least) time and price of underlying; see for example the Black–Scholes PDE. Once in this form, a ...
A long iron butterfly will attain maximum losses when the stock price falls at or below the lower strike price of the put or rises above or equal to the higher strike of the call purchased. The difference in strike price between the calls or puts subtracted by the premium received when entering the trade is the maximum loss accepted.
The iron butterfly is a special case of an iron condor (see above) where the strike price for the bull put credit spread and the bear call credit spread are the same. Ideally, the margin for the iron butterfly is the maximum of the bull put and bear call spreads, but some brokers require a cumulative margin for the bull put and the bear call.
The technique applied then, is (1) to generate a large number of possible, but random, price paths for the underlying (or underlyings) via simulation, and (2) to then calculate the associated exercise value (i.e. "payoff") of the option for each path. (3) These payoffs are then averaged and (4) discounted to today.
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The trinomial tree is a lattice-based computational model used in financial mathematics to price options.It was developed by Phelim Boyle in 1986. It is an extension of the binomial options pricing model, and is conceptually similar.
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A condor is also known as a "stretched butterfly", as its maximum profit is reached on a wider range of underlying prices compared to a butterfly. [6] Both butterflies and condors are known as "wingspreads". [1] The condor is so named because of its payoff diagram's perceived resemblance to a large bird such as a condor. [6]