HELP! * YELLOW=global GREY=local Global HTML version of Foils prepared June 6 1996

Foil 154 Parallel Maximum Entropy and optimization

From Web Application and Services Overview as of June96 NASA ICASE Tutorial -- June 10-13 1996. by Geoffrey Fox * See also color IMAGE

Pricing modules can either run in lock-step with the Monte Carlo module which generates histories of risk factors or asynchronously perform valuation functions on the histories which are broadcast as they are generated by the Monte Carlo module
We are linking this flexible algorithm with a novel scheme based on Maximum Entropy method which generates implied probability distributions from reported option prices.
The implied distributions can be used within the Path Integral Monte Carlo module to price exotic contracts consistently with exchange-traded contracts and they can also be used to search for arbitrage opportunities
Estimation of implied distributions requires large scale global optimizers.
We are developing two parallel stochastic optimizers based on mean field approximation (Laplace formula) and Langevin equation


Northeast Parallel Architectures Center, Syracuse University, npac@npac.syr.edu

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