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  2. Monte Carlo methods for option pricing - Wikipedia

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

    Here the price of the option is its discounted expected value; see risk neutrality and rational pricing. 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 ...

  3. 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.

  4. Black–Scholes model - Wikipedia

    en.wikipedia.org/wiki/Black–Scholes_model

    The Black–Scholes / ˌblæk ˈʃoʊlz / [1] or Black–Scholes–Merton model is a mathematical model for the dynamics of a financial market containing derivative investment instruments. From the parabolic partial differential equation in the model, known as the Black–Scholes equation, one can deduce the Black–Scholes formula, which gives ...

  5. Martingale pricing - Wikipedia

    en.wikipedia.org/wiki/Martingale_pricing

    Martingale pricing is a pricing approach based on the notions of martingale and risk neutrality. The martingale pricing approach is a cornerstone of modern quantitative finance and can be applied to a variety of derivatives contracts, e.g. options, futures, interest rate derivatives, credit derivatives, etc. In contrast to the PDE approach to ...

  6. Delta neutral - Wikipedia

    en.wikipedia.org/wiki/Delta_neutral

    Delta neutral. In finance, delta neutral describes a portfolio of related financial securities, in which the portfolio value remains unchanged when small changes occur in the value of the underlying security. Such a portfolio typically contains options and their corresponding underlying securities such that positive and negative delta ...

  7. Black model - Wikipedia

    en.wikipedia.org/wiki/Black_model

    Black model. The Black model (sometimes known as the Black-76 model) is a variant of the Black–Scholes option pricing model. Its primary applications are for pricing options on future contracts, bond options, interest rate cap and floors, and swaptions. It was first presented in a paper written by Fischer Black in 1976.

  8. Real options valuation - Wikipedia

    en.wikipedia.org/wiki/Real_options_valuation

    Real options valuation, also often termed real options analysis, (ROV or ROA) applies option valuation techniques to capital budgeting decisions. A real option itself, is the right—but not the obligation—to undertake certain business initiatives, such as deferring, abandoning, expanding, staging, or contracting a capital investment project.

  9. Lattice model (finance) - Wikipedia

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

    Lattice model (finance) Binomial Lattice for equity, with CRR formulae. Tree for an ( embedded) bond option returning the OAS (black vs red): the short rate is the top value; the development of the bond value shows pull-to-par clearly. In finance, a lattice model [1] is a technique applied to the valuation of derivatives, where a discrete time ...