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Published in 2017 at "Journal of Futures Markets"
DOI: 10.1002/fut.21795
Abstract: Mean reversion and regime switching are well-known features of commodity prices. Recent empirical research additionally documents the time variation of the mean reversion rate and volatility. This paper considers the option pricing framework for an…
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Keywords:
option pricing;
regime switching;
mean reversion;
reversion ... See more keywords
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Published in 2021 at "Finance and Stochastics"
DOI: 10.1007/s00780-021-00461-8
Abstract: In option pricing, it is customary to first specify a stochastic underlying model and then extract valuation equations from it. However, it is possible to reverse this paradigm: starting from an arbitrage-free option valuation formula,…
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Keywords:
logistic processes;
option;
additive logistic;
option pricing ... See more keywords
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Published in 2018 at "Annals of Operations Research"
DOI: 10.1007/s10479-016-2180-x
Abstract: In this paper we present an option pricing model based on the assumption that the underlying asset price is an exponential Mixed Tempered Stable Lévy process. We also introduce a new R package called PricingMixedTS…
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Keywords:
mixedts process;
option;
exponential mixedts;
pricing exponential ... See more keywords
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Published in 2017 at "Computational Economics"
DOI: 10.1007/s10614-016-9605-0
Abstract: In this paper, a modification of the original global radial basis functions-based differential quadrature (RBF-DQ) method is set forth and analyzed. The improved RBF-DQ method is applicable to the numerical approximation of solutions of a…
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Keywords:
option pricing;
multi asset;
asset option;
method ... See more keywords
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Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06642-6
Abstract: Under investigation in this paper is the Ivancevic option pricing model. Based on trial function method, rogue wave and dark wave solutions are constructed. By means of symbolic computation, these analytical solutions are obtained with…
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Keywords:
pricing model;
ivancevic option;
option pricing;
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1
Published in 2019 at "Review of Quantitative Finance and Accounting"
DOI: 10.1007/s11156-019-00816-5
Abstract: One crucial task of option price modeling is to estimate latent state variables. This paper emphasizes the importance of incorporating option implied information to update latent state variables and sheds light on numerical developments to…
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Keywords:
implied filtering;
model;
option pricing;
option ... See more keywords
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Published in 2020 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-020-01025-3
Abstract: This paper aims to discuss the mathematical details in Lewis’ model by considering the analyticity and integrability conditions of characteristic functions and payoff functions of contingent claims. In his seminal paper, Lewis shows that it…
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Keywords:
lewis model;
model;
model revisited;
option pricing ... See more keywords
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Published in 2017 at "Journal of Banking and Finance"
DOI: 10.1016/j.jbankfin.2016.11.006
Abstract: We present a two-factor option-pricing model, which parsimoniously captures the difference in volatility persistences under the historical and risk-neutral probabilities. The model generates an S-shaped pricing kernel that exhibits time-varying risk aversion. We apply our…
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Keywords:
varying risk;
risk;
risk aversion;
time varying ... See more keywords
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Published in 2018 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2018.05.113
Abstract: Solvency capital requirements indicated by Solvency II against longevity risk involve distortions and inconsistencies caused by the invariance of the longevity shock compared to the age and time assumed by the regulatory model. To overcome…
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Keywords:
pricing approach;
solvency;
solvency capital;
capital requirements ... See more keywords
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Published in 2018 at "Mathematical Modelling of Natural Phenomena"
DOI: 10.1051/mmnp/2018009
Abstract: In this work, we have derived an approximate solution of the fractional Black-Scholes models using an iterative method. The fractional differentiation operator used in this paper is the well-known conformable derivative. Firstly, we redefine the…
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Keywords:
black scholes;
option pricing;
different approach;
fractional black ... See more keywords
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Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1646252
Abstract: ABSTRACT We numerically study partial integro-differential equations that arise from the pricing of options under jump-diffusion processes using finite difference methods. Two kinds of jump-diffusion models are considered: one with non-Levy type feedback jumps and…
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Keywords:
study european;
non levy;
numerical study;
pricing ... See more keywords