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Denoising Surprises in Option Pricing
financial time series option premium attenuated volatility
2011/3/30
We perform wavelet decomposition of high frequency financial time series into high and low-energy spectral sectors. Taking the FTSE100 index as a case study, and working with the Haar basis, it turns ...
Using pseudo-parabolic and fractional equations for option pricing in jump diffusion models
option pricing jump diffusion models
2010/10/18
In mathematical finance a popular approach for pricing options under some Levy model is to consider underlying that follows a Poisson jump diffusion process. As it is well known this results in a par...
Extra-Dimensional Approach to Option Pricing and Stochastic Volatility
Extra-Dimensional Option Pricing Stochastic Volatility
2010/10/18
The generalized 5D Black-Scholes differential equation with stochastic volatility is derived. The projections of the stochastic evolutions associated with the random variables from an enlarged space o...
Adaptive Wave Models for Option Pricing Evolution: Nonlinear and Quantum Schrödinger Approaches
Black--Scholes option pricing adaptive nonlinear Schr\"odinger equation
2010/10/18
Adaptive wave model for financial option pricing is proposed, as a high-complexity alternative to the standard Black--Scholes model. The new option-pricing model, representing a controlled Brownian mo...
A Review of Volatility and Option Pricing
Option pricing volatility models risk neutral valuation empirical volatility
2010/10/29
The literature on volatility modelling and option pricing is a large and diverse area due to its importance and applications. This paper provides a review of the most significant volatility models and...