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  2. Monte Carlo methods for option pricing - Wikipedia

    en.wikipedia.org/wiki/Monte_Carlo_methods_for...

    The first application to option pricing was by Phelim Boyle in 1977 (for European options). In 1996, M. Broadie and P. Glasserman showed how to price Asian options by Monte Carlo. An important development was the introduction in 1996 by Carriere of Monte Carlo methods for options with early exercise features.

  3. Finite difference methods for option pricing - Wikipedia

    en.wikipedia.org/wiki/Finite_difference_methods...

    Finite difference methods were first applied to option pricing by Eduardo Schwartz in 1977. [2] [3]: 180 In general, finite difference methods are used to price options by approximating the (continuous-time) differential equation that describes how an option price evolves over time by a set of (discrete-time) difference equations.

  4. Valuation of options - Wikipedia

    en.wikipedia.org/wiki/Valuation_of_options

    In finance, a price (premium) is paid or received for purchasing or selling options.This article discusses the calculation of this premium in general. For further detail, see: Mathematical finance § Derivatives pricing: the Q world for discussion of the mathematics; Financial engineering for the implementation; as well as Financial modeling § Quantitative finance generally.

  5. Category:Options (finance) - Wikipedia

    en.wikipedia.org/wiki/Category:Options_(finance)

    Download as PDF; Printable version; ... Low Exercise Price Option; M. Margrabe's formula; Moneyness; Monte Carlo methods for option pricing;

  6. Black model - Wikipedia

    en.wikipedia.org/wiki/Black_model

    The Black formula is similar to the Black–Scholes formula for valuing stock options except that the spot price of the underlying is replaced by a discounted futures price F. Suppose there is constant risk-free interest rate r and the futures price F(t) of a particular underlying is log-normal with constant volatility σ.

  7. Binomial options pricing model - Wikipedia

    en.wikipedia.org/wiki/Binomial_options_pricing_model

    In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. Essentially, the model uses a "discrete-time" ( lattice based ) model of the varying price over time of the underlying financial instrument, addressing cases where the closed-form Black–Scholes formula is wanting.

  8. Margrabe's formula - Wikipedia

    en.wikipedia.org/wiki/Margrabe's_formula

    Applying the Black-Scholes formula with these values as the appropriate inputs, e.g. initial asset value S 1 (0)/S 2 (0), interest rate q 2, volatility σ, etc., gives us the price of the option under numeraire pricing. Since the resulting option price is in units of S 2, multiplying through by S 2 (0) will undo our change of numeraire, and ...

  9. Trinomial tree - Wikipedia

    en.wikipedia.org/wiki/Trinomial_Tree

    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. It can also be shown that the approach is equivalent to the explicit finite difference method for option ...