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An elementary arbitrage principle and the existence of trends in financial time series, which is base on a theorem published in 1995 by P. Cartier and Y. Perrin,lead to a new understanding of option p...
We propose a quasi-Monte Carlo algorithm for pricing knock-out and knock-in barrier options under the Heston (1993) stochastic volatility model. This is done by modifying the LT method from Imai and T...
We study the valuation and hedging problem of European options in a market subject to liquidity shocks. Working within a Markovian regime-switching setting, we model illiquidity as the inability to tr...
This paper deals with theoretical and practical pricing of non-life insurance contracts within a financial option pricing context. The market-based assumption approach of the option context fits well ...
This paper derives an equilibrium formula for pricing European options and other contingent claims which allows incorporating impacts of several important economic variable on security prices includin...
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 ...
This paper demonstrates the impact of changes in option pricing model variables used in the Black-Scholes Option Pricing Model [BSOPM] on the valuation of compensation expense SFAS 123R. We provide ...
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...
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...
This work illustrates how several new pricing formulas for exotic options can be derived within a Levy framework by employing a unique pricing expression. Many existing pricing formulas of the traditi...
We present a multivariate stochastic volatility model with leverage, which is flexible enough to recapture the individual dynamics as well as the interdependencies between several assets while still ...
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...
Spread options are a fundamental class of derivative contract written on multiple assets, and are widely used in a range of financial markets. There is a long history of approximation methods for co...
Volatility modelling has become a significant area of research within Financial Mathematics. Wiener process driven stochastic volatility models have become popular due their consistency with theoretic...
A nonlinear wave alternative for the standard Black–Scholes optionpricing model is presented. The adaptive-wave model, representing controlled Brownian behavior of financial markets, is formally de...

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