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  2. Lattice model (finance) - Wikipedia

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

    Binomial Lattice for equity, with CRR formulae Tree for an 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 quantitative finance, a lattice model [1] is a numerical approach to the valuation of derivatives in situations requiring a discrete time model.

  3. 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.

  4. Monte Carlo methods for option pricing - Wikipedia

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

    For the models used to simulate the interest-rate see further under Short-rate model; "to create realistic interest rate simulations" Multi-factor short-rate models are sometimes employed. [6] To apply simulation here, the analyst must first "calibrate" the model parameters, such that bond prices produced by the model best fit observed market ...

  5. Employee stock option - Wikipedia

    en.wikipedia.org/wiki/Employee_stock_option

    (The binomial model is the simplest and most common lattice model.) The "dynamic assumptions of expected volatility and dividends", e.g. expected changes to dividend policy , as well as of forecast changes in interest rates [ 13 ] as consistent with today's term structure , may also be incorporated in a lattice model; although a finite ...

  6. 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, which in general does not exist for the BOPM.

  7. Finite difference methods for option pricing - Wikipedia

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

    As above, the PDE is expressed in a discretized form, using finite differences, and 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.

  8. Hull–White model - Wikipedia

    en.wikipedia.org/wiki/Hull–White_model

    John Hull and Alan White, "Numerical procedures for implementing term structure models II," Journal of Derivatives, Winter 1994, pp. 37–48. John Hull and Alan White, "The pricing of options on interest rate caps and floors using the Hull–White model" in Advanced Strategies in Financial Risk Management, Chapter 4, pp. 59–67.

  9. Bond option - Wikipedia

    en.wikipedia.org/wiki/Bond_option

    In finance, a bond option is an option to buy or sell a bond at a certain price on or before the option expiry date. [1] These instruments are typically traded OTC.. A European bond option is an option to buy or sell a bond at a certain date in future for a predetermined price.

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