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  2. 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.

  3. Valuation of options - Wikipedia

    en.wikipedia.org/wiki/Valuation_of_options

    See Asset pricing for a listing of the various models here. As regards (2), the implementation, the most common approaches are: Closed form, analytic models: the most basic of these are the Black–Scholes formula and the Black model. Lattice models (Trees): Binomial options pricing model; Trinomial tree; Monte Carlo methods for option pricing

  4. Lattice model (finance) - Wikipedia

    en.wikipedia.org/wiki/Lattice_model_(finance)

    The simplest lattice model is the binomial options pricing model; [7] the standard ("canonical" [8]) method is that proposed by Cox, Ross and Rubinstein (CRR) in 1979; see diagram for formulae. Over 20 other methods have been developed, [ 9 ] with each "derived under a variety of assumptions" as regards the development of the underlying's price ...

  5. How implied volatility works with options trading

    www.aol.com/finance/implied-volatility-works...

    To better understand how implied volatility impacts pricing, let’s consider a simple example. ... The most common option pricing model is the Black-Scholes model, though there are others, such ...

  6. Risk-neutral measure - Wikipedia

    en.wikipedia.org/wiki/Risk-neutral_measure

    4 Example 1 – Binomial model ... is a probability measure such that each share price is ... , consider a single-period binomial model, denote the initial stock ...

  7. Option (finance) - Wikipedia

    en.wikipedia.org/wiki/Option_(finance)

    Closely following the derivation of Black and Scholes, John Cox, Stephen Ross and Mark Rubinstein developed the original version of the binomial options pricing model. [26] [27] It models the dynamics of the option's theoretical value for discrete time intervals over the option's life. The model starts with a binomial tree of discrete future ...

  8. 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.

  9. Black–Derman–Toy model - Wikipedia

    en.wikipedia.org/wiki/Black–Derman–Toy_model

    It is a one-factor model; that is, a single stochastic factor—the short rate—determines the future evolution of all interest rates. It was the first model to combine the mean-reverting behaviour of the short rate with the log-normal distribution, [1] and is still widely used. [2] [3]