A General Control Variate Method for Time-Changed Lévy Processes: An Application to Options Pricing

K Shiraya, C Wang, A Yamazaki - Journal of Computational …, 2023 - papers.ssrn.com
… a new control variate method combined with a characteristic function approach for pricing
path-dependent options under … a new control variate method for time-changed Lévy models. In …

Exotic options pricing under special Lévy process models: a biased control variate method approach

J Jia, Y Lai, L Li, V Tan - Finance Research Letters, 2020 - Elsevier
… We discuss very efficient control variate methods for option pricing … the pricing of three kind
of exotic options: fixed and floating strike lookback options, as well as barrier options under

A general control variate method for multi-dimensional SDEs: An application to multi-asset options under local stochastic volatility with jumps models in finance

K Shiraya, A Takahashi - European Journal of Operational Research, 2017 - Elsevier
… We remark that most of the papers on variance reduction methods for the basket, spread,
and average options pricing consider a geometric weighted average value as the …

A generalized European option pricing model with risk management

C Feng, J Tan, Z Jiang, S Chen - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
… Liu and Deng [27] noted that option prices under exponential Levy conditions can be … [28]
applied general control variable methods to option pricing problems under Levy conditions. …

COS method for option pricing under a regime-switching model with time-changed Lévy processes

G Tour, N Thakoor, AQM Khaliq… - Quantitative …, 2018 - Taylor & Francis
Lévy processes and use the Fourier cosine expansion (COS) method to price several options
under … The extension of the COS method to price under the regime-switching model is not …

Moments of integrated exponential Lévy processes and applications to Asian options pricing

R Brignone - Quantitative Finance, 2022 - Taylor & Francis
… in a control variate procedure which allows to obtain highly accurate price estimates with
low standard errors. In particular, we use discretely monitored geometric Asian options and the …

Efficient control variate methods with applications to exotic options pricing under subordinated Brownian motion models

L Zhang, Y Lai, S Zhang, L Li - The North American Journal of Economics …, 2019 - Elsevier
… biased and multivariate control variate methods to some exotic option pricing problems with
… asset prices. For both arithmetic Asian and basket options, control variates conditional on …

Pricing derivatives under Lévy models

A Itkin - Pseudo-differential operators, 2017 - Springer
… In Chapter 4, we provide a short introduction to Lévy processes. The next chapter considers
… of option pricing theory into a pseudoparabolic equation. Chapter 6 modifies this approach

Closed-form approximations for basket option pricing under normal tempered stable Lévy model

D Hu, H Sayit, J Yao, Q Zhong - The North American Journal of Economics …, 2024 - Elsevier
… The general basket option pricing formula is introduced in Section 3, where we … methods
for pricing spread options under the Gaussian assumption to the Normal Tempered Stable Lévy

American and exotic option pricing with jump diffusions and other Levy processes

J Lars Kirkby - Journal of Computational Finance, 2018 - papers.ssrn.com
… and with general Lévy dynamics. This paper develops a general methodology for pricing
early … and exotic financial options by extending the recently developed PROJ method. We are …