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The Application of Symbolic Regression on Identifying Implied Volatility Surface
Mathematics, 2023 One important parameter in the Black–Scholes option pricing model is the implied volatility. Implied volatility surface (IVS) is an important concept in finance that describes the variation of implied volatility across option strike price and time to ...
Jiayi Luo, Cindy Long Yu
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An Intuitive Introduction to Fractional and Rough Volatilities
Mathematics, 2021 Here, we review some results of fractional volatility models, where the volatility is driven by fractional Brownian motion (fBm). In these models, the future average volatility is not a process adapted to the underlying filtration, and fBm is not a ...
Elisa Alòs, Jorge A. León
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Journal of Function Spaces, 2021 It has been found that the surface of implied volatility has appeared in financial market embrace volatility “Smile” and volatility “Smirk” through the long-term observation.
Yanli Zhou +3 more
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Calibrating FBSDEs Driven Models in Finance via NNs
Risks, 2022 The curse of dimensionality problem refers to a set of troubles arising when dealing with huge amount of data as happens, e.g., applying standard numerical methods to solve partial differential equations related to financial modeling.
Luca Di Persio +2 more
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A Generative Adversarial Network Approach to Calibration of Local Stochastic Volatility Models
Risks, 2020 We propose a fully data-driven approach to calibrate local stochastic volatility (LSV) models, circumventing in particular the ad hoc interpolation of the volatility surface.
Christa Cuchiero +2 more
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Pricing vanilla options using artificial neural networks: Application to the South African market
Cogent Economics & Finance, 2021 In this paper, a feed-forward artificial neural network (ANN) is used to price Johannesburg Stock Exchange (JSE) Top 40 European call options using a constructed implied volatility surface.
Ryno du Plooy, Pierre J. Venter
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South African Journal of Economic and Management Sciences, 2017 Background: Contingent claims on underlying assets are typically priced under a framework that assumes, inter alia, that the log returns of the underlying asset are normally distributed.
Emlyn Flint, Eben Maré
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Sound Deposit Insurance Pricing Using a Machine Learning Approach
Risks, 2019 While the main conceptual issue related to deposit insurances is the moral hazard risk, the main technical issue is inaccurate calibration of the implied volatility. This issue can raise the risk of generating an arbitrage.
Hirbod Assa +2 more
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A Solution to the Time-Scale Fractional Puzzle in the Implied Volatility
Fractal 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
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Asymptotic Expansion of Risk-Neutral Pricing Density
International Journal of Financial Studies, 2018 A new method for pricing contingent claims based on an asymptotic expansion of the dynamics of the pricing density is introduced. The expansion is conducted in a preferred coordinate frame, in which the pricing density looks stationary.
Thomas Mazzoni
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