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Option Pricing under the Jump Diffusion and Multifactor Stochastic Processes

open access: yesJournal of Function Spaces, 2019
In financial markets, there exists long-observed feature of the implied volatility surface such as volatility smile and skew. Stochastic volatility models are commonly used to model this financial phenomenon more accurately compared with the conventional
Shican Liu   +3 more
doaj   +1 more source

Bayesian Option Pricing Framework with Stochastic Volatility for FX Data

open access: yesRisks, 2016
The application of stochastic volatility (SV) models in the option pricing literature usually assumes that the market has sufficient option data to calibrate the model’s risk-neutral parameters.
Ying Wang   +2 more
doaj   +1 more source

A Solution to the Time-Scale Fractional Puzzle in the Implied Volatility

open access: yesFractal and Fractional, 2017
In the option pricing literature, it is well known that (i) the decrease in the smile amplitude is much slower than the standard stochastic volatility models and (ii) the term structure of the at-the-money volatility skew is approximated by a power-law ...
Hideharu Funahashi, Masaaki Kijima
doaj   +1 more source

From characteristic functions to implied volatility expansions [PDF]

open access: yes, 2014
For any strictly positive martingale $S = \exp(X)$ for which $X$ has a characteristic function, we provide an expansion for the implied volatility. This expansion is explicit in the sense that it involves no integrals, but only polynomials in the log ...
Jacquier, Antoine, Lorig, Matthew
core   +1 more source

PENGARUH SKEWNESS DAN KURTOSIS DALAM MODEL VALUASI OBLIGASI

open access: yesMedia Statistika, 2018
The Gram-Charlier expansion, where skewness and kurtosis directly appear as parameters, has become popular in finance as a generalization of the normal density. Non-normal skewness and kurtosis of underlying asset of bond issuer company are significantly
Abdurakhman Abdurakhman   +1 more
doaj   +1 more source

Interpretability in deep learning for finance: A case study for the Heston model

open access: yesRisk Sciences
Deep learning is a powerful tool whose applications in quantitative finance are growing every day. Yet, artificial neural networks behave as black boxes, and this introduces risks, hindering validation and accountability processes.
Damiano Brigo   +3 more
doaj   +1 more source

On the risk-adjusted pricing-methodology-based valuation of vanilla options and explanation of the volatility smile

open access: yesJournal of Applied Mathematics, 2005
We analyse a model for pricing derivative securities in the presence of both transaction costs as well as the risk from a volatile portfolio. The model is based on the Black-Scholes parabolic PDE in which transaction costs are described following the ...
Martin Jandačka, Daniel Ševčovič
doaj   +1 more source

Adiabaticity Conditions for Volatility Smile in Black-Scholes Pricing Model

open access: yes, 2010
Our derivation of the distribution function for future returns is based on the risk neutral approach which gives a functional dependence for the European call (put) option price, C(K), given the strike price, K, and the distribution function of the ...
B. Dupire   +18 more
core   +2 more sources

Arbitrage-free prediction of the implied volatility smile [PDF]

open access: yes, 2014
This paper gives an arbitrage-free prediction for future prices of an arbitrary co-terminal set of options with a given maturity, based on the observed time series of these option prices.
Dellaportas, Petros   +1 more
core   +2 more sources

MERTON JUMP-DIFFUSION MODEL VERSUS THE BLACK AND SCHOLES APPROACH FOR THE LOG-RETURNS AND VOLATILITY SMILE FITTING

open access: yes, 2016
In the present paper we perform a comparison between the standard Black and Scholes model and the Merton jump-diffusion one, from the point of view of the study of the leptokurtic feature of log-returns and also concerning the volatility smile fitting ...
Nicola Gugole
semanticscholar   +1 more source

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