Finite difference methods for option pricing

Metoda opțiunii este, A intervenit o problemă.


    Method[ edit ] As above, the PDE is expressed in a discretized form, using finite differencesand the evolution in the option price is then modelled using a lattice with corresponding dimensions : time runs from 0 to maturity; and price runs from 0 to a "high" value, such that the option is deeply in or out of the money.

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    The option is then valued as follows: [5] Maturity values are simply the difference between the exercise price of the option and the value of the underlying at each point. Values at the boundaries - i. Here, using a technique such as Crank—Nicolson or the explicit method : metoda opțiunii este PDE is discretized per the technique chosen, such that the value at each lattice point is specified as a function of the value at later and adjacent points; see Stencil numerical analysis ; the value at each point is then found using the technique in question.

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    At the same time, like tree-based methods, this approach is limited in terms of the number of underlying variables, and for problems with multiple dimensionsMonte Carlo methods for option pricing are usually preferred.