A PATH INTEGRAL APPROACH TO DERIVATIVE SECURITY PRICING II: NUMERICAL METHODS

Author:

ROSA-CLOT MARCO1,TADDEI STEFANO1

Affiliation:

1. Dipartimento di Fisica, Università degli Studi di Firenze, via G. Sansone 1, 50019 Sesto Fiorentino(FI), Italy

Abstract

We discuss two numerical techniques, based on the path integral approach described in a previous paper, for solving the stochastic equations underlying the financial markets: the path integral Monte Carlo, and the path integral deterministic evaluation. In particular, we apply the latter to some specific financial problems: the pricing of a European option, a zero-coupon bond, a caplet, an American option, and a Bermudan swaption.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Economics, Econometrics and Finance,Finance

Cited by 14 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Adaptive density tracking by quadrature for stochastic differential equations;Applied Mathematics and Computation;2022-10

2. Path integral Monte Carlo method for option pricing;Physica A: Statistical Mechanics and its Applications;2021-11

3. Path integral and asset pricing;Quantitative Finance;2015-10-12

4. Option pricing, stochastic volatility, singular dynamics and constrained path integrals;Physica A: Statistical Mechanics and its Applications;2014-01

5. Path Integral and Asset Pricing;SSRN Electronic Journal;2014

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