Arbitrage-free smile construction on FX option markets using Garman-Kohlhagen deltas and implied volatilities. [PDF]
Rev Deriv Res (Dordr), 2022 Muck M.
europepmc +1 more source
A variable-rate quantitative trait evolution model using penalized-likelihood. [PDF]
PeerJ, 2021 Revell LJ.
europepmc +1 more source
"On Pricing Barrier Options with Discrete Monitoring" [PDF]
This paper proposes a new approximation method for pricing barrier options with discrete monitoring under stochastic volatility environment. In particular, the integration-by-parts formula and the duality formula in Malliavin calculus are effectively ...
Akihiko Takahashi +2 more
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Analytical approximation of the transition density in a local volatility model [PDF]
We present a simplified approach to the analytical approximation of the transition density related to a general local volatility model. The methodology is sufficiently flexible to be extended to time-dependent coefficients, multi-dimensional stochastic ...
Pagliarani, Stefano, Pascucci, Andrea
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Practice-relevant model validation: distributional parameter risk analysis in financial model risk management. [PDF]
Ann Oper Res, 2022 Cummins M +4 more
europepmc +1 more source
A Gamma Ornstein-Uhlenbeck model driven by a Hawkes process. [PDF]
Math Financ Econ, 2021 Bernis G +3 more
europepmc +1 more source
"Pricing Barrier and Average Options under Stochastic Volatility Environment" [PDF]
This paper proposes a new approximation method of pricing barrier and average options under stochastic volatility environment by applying an asymptotic expansion approach.
Akihiko Takahashi +2 more
core +3 more sources
Option data and modeling BSM implied volatility [PDF]
This contribution to the Handbook of Computational Finance, Springer-Verlag, gives an overview on modeling implied volatility data. After introducing the concept of Black-Scholes-Merton implied volatility (IV), the empirical stylized facts of IV data are
Matthias Fengler
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"On Approximation of the Solutions to Partial Differential Equations in Finance" [PDF]
This paper proposes a general approximation method for the solutions to second-order parabolic partial differential equations (PDEs) widely used in finance through an extension of Léandre's approach(Léandre (2006,2008)) and the Bismut identiy(e.g ...
Akihiko Takahashi, Toshihiro Yamada
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Hedging Options with Scale-Invariant Models [PDF]
A price process is scale-invariant if and only if the returns distribution is independent of the price level. We show that scale invariance preserves the homogeneity of a pay-off function throughout the life of the claim and hence prove that standard ...
Carol Alexander, Leonardo M. Nogueira
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