Results 11 to 20 of about 777 (249)
From Constant to Rough: A Survey of Continuous Volatility Modeling
Mathematics, 2023 In this paper, we present a comprehensive survey of continuous stochastic volatility models, discussing their historical development and the key stylized facts that have driven the field.
Giulia Di Nunno +3 more
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From volatility smiles to the volatility of volatility [PDF]
Decisions in Economics and Finance, 2019 The authors review models of the option surface and reduced-form models for stochastic volatility in continuous time, under the risk-neutral measure. They introduce ``forward volatilities'' (in analogy with forward interest rates in the term structure theory), and prove that such objects are conditional expected values, under the risk-neutral measure ...
Dumas B., Luciano E.
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Smiling under stochastic volatility [PDF]
Spanish Economic Review, 2004 This paper studies the behavior of the implied volatility function (smile) when the true distribution of the underlying asset is consistent with the stochastic volatility model proposed by Heston (1993). The main result of the paper is to extend previous results applicable to the smile as a whole to alternative degrees of moneyness.
�ngel Le�n, Gonzalo Rubio
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Option Pricing with Fractional Stochastic Volatilities and Jumps
Fractal and Fractional, 2023 Empirical studies suggest that asset price fluctuations exhibit “long memory”, “volatility smile”, “volatility clustering” and asset prices present “jump”.
Sumei Zhang, Hongquan Yong, Haiyang Xiao
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Option Pricing under Two-Factor Stochastic Volatility Jump-Diffusion Model
Complexity, 2020 Empirical evidence shows that single-factor stochastic volatility models are not flexible enough to account for the stochastic behavior of the skew, and certain financial assets may exhibit jumps in returns and volatility.
Guohe Deng
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Inventory effects on the price dynamics of VSTOXX futures quantified via machine learning
Journal of Finance and Data Science, 2021 The VSTOXX index tracks the expected 30-day volatility of the EURO STOXX 50 equity index. Futures on the VSTOXX index can, therefore, be used to hedge against economic uncertainty.
Daniel Guterding
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Detecting Jump Risk and Jump-Diffusion Model for Bitcoin Options Pricing and Hedging
Mathematics, 2021 In this paper, we conduct a fast calibration in the jump-diffusion model to capture the Bitcoin price dynamics, as well as the behavior of some components affecting the price itself, such as the risk of pitfalls and its ambiguous effect on the evolution ...
Kuo-Shing Chen, Yu-Chuan Huang
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Risks, 2023 This research article provides criticism and arguments why the canonical framework for derivatives pricing is incomplete and why the delta-hedging approach is not appropriate.
Jussi Lindgren
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Investigaciones Europeas de Dirección y Economía de la Empresa, 2015 This paper studies the behavior of the smile in the Warsaw Stock Exchange (WSE) during the volatile summer of 2011.We investigate the volatility smile derived from liquid call and put options on the Polish WIG20 index which option series expired on ...
García-Machado, Juan J. +1 more
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Financial market disruption and investor awareness: the case of implied volatility skew
Quantitative Finance and Economics, 2022 The crash of 1987 is considered one of the most significant events in the history of financial markets due to the severity and swiftness of market declines worldwide.
Hammad Siddiqi
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