In mathematical finance, a Monte Carlo option model uses Monte Carlo methods to calculate the value of an option with multiple sources of uncertainty...
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– such as Asian options – simulation is the valuation method most commonly employed; see Monte Carlo methods for option pricing for discussion as to...
35 KB (4,172 words) - 05:48, 25 May 2025
Monte Carlo methods, or Monte Carlo experiments, are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical...
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(Trees): Binomial options pricing model; Trinomial tree Monte Carlo methods for option pricing Finite difference methods for option pricing More recently...
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difference methods for option pricing are numerical methods used in mathematical finance for the valuation of options. Finite difference methods were first...
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In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. Essentially, the model uses...
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valuation of real options which are both multidimensional and American styled; see Monte Carlo methods for option pricing § Least Square Monte Carlo. When the...
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contracts, Black model 1977 – Phelim Boyle, Options: A Monte Carlo Approach, Monte Carlo methods for option pricing 1977 – Oldřich Vašíček, An equilibrium...
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Carlo methods for option pricing Monte Carlo methods in finance Quasi-Monte Carlo methods in finance Least Square Monte Carlo for American options Trinomial...
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Lattice model (finance) (category Options (finance))
method is also used for valuing certain exotic options, because of path dependence in the payoff. Traditional Monte Carlo methods for option pricing fail...
41 KB (4,348 words) - 14:19, 16 April 2025
Monte Carlo, Risk, 9(6), 63-65. Ackworth, P., Broadie, M. and Glasserman, P. (1997), A comparison of some Monte Carlo techniques for option pricing,...
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general case must be approached with Monte Carlo or binomial lattice methods. Problems in hedging basket options can be of some significance when dealing...
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problem of pricing Asian options with Monte Carlo methods is given in a paper by Kemna and Vorst. In the path integral approach to option pricing, the problem...
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Bartter. Finite difference methods for option pricing were due to Eduardo Schwartz in 1977. Monte Carlo methods for option pricing were originated by Phelim...
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distribution; see further under Monte Carlo methods for option pricing. Extensions of the method for other real option valuations have been developed such...
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Monte Carlo (MLMC) methods in numerical analysis are algorithms for computing expectations that arise in stochastic simulations. Just as Monte Carlo methods...
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Black–Scholes model (redirect from Black–Scholes option pricing model)
partial differential equation that governs the price of the option, enables pricing using numerical methods when an explicit formula is not possible. The...
65 KB (9,555 words) - 05:04, 8 July 2025
contracts Monte Carlo methods in finance Binary option Bond option Credit default option Exotic interest rate option Foreign exchange option Interest rate...
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Phelim Boyle (category Monte Carlo methodologists)
of quantitative finance. He is best known for initiating the use of Monte Carlo methods in option pricing. Born on a farm in Lavey, County Londonderry...
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an exact formula is difficult to obtain, barrier options can be priced with the Monte Carlo option model. However, computing the Greeks (sensitivities)...
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are many pricing models in use, although all essentially incorporate the concepts of rational pricing (i.e. risk neutrality), moneyness, option time value...
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robot Monte Carlo methods for electron transport Monte Carlo method for photon transport Monte Carlo methods in finance Monte Carlo methods for option pricing...
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Particle filter (redirect from Sequential Monte Carlo methods)
known as sequential Monte Carlo methods, are a set of Monte Carlo algorithms used to find approximate solutions for filtering problems for nonlinear state-space...
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of quantitative finance. He is best known for initiating the use of Monte Carlo methods in option pricing. Henry Downey - Captain of the Derry GAA team's...
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must be approached with Monte Carlo or binomial lattice methods. For bibliography see Lyden (1996). "What Does Rainbow Option Mean?". investopedia.com...
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Mathematical finance (redirect from Derivative pricing)
Merton on option pricing theory. Mathematical investing originated from the research of mathematician Edward Thorp who used statistical methods to first...
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Bermudan option) and only in 2001 F. A. Longstaff and E. S. Schwartz developed a practical Monte Carlo method for pricing American options. Suppose the...
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Variance gamma process (section Option pricing)
overperformance of the pricing under variance gamma, compared to alternative models presented in literature. Monte Carlo methods for the variance gamma process...
10 KB (1,594 words) - 01:47, 27 June 2024
Schettini; Vvedensky, Dmitri D. (2021). "Path integral Monte Carlo method for option pricing". Physica A: Statistical Mechanics and Its Applications...
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§ Interest rate derivatives and Monte Carlo methods for option pricing, although some short rate models have closed form solutions for zero coupon bonds, and even...
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