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In this paper we study the short-time behavior of the at-the-money implied volatility for arithmetic Asian options with fixed strike price. The asset price is assumed to follow the Black-Scholes model with a general stochastic volatility…

Mathematical Finance · Quantitative Finance 2024-03-05 Elisa Alòs , Eulalia Nualart , Makar Pravosud

We derive the short-maturity asymptotics for prices of options on realized variance in local-stochastic volatility models. We consider separately the short-maturity asymptotics for out-of-the-money and in-the-money options cases. The…

Pricing of Securities · Quantitative Finance 2025-11-19 Dan Pirjol , Xiaoyu Wang , Lingjiong Zhu

Cryptocurrency, the most controversial and simultaneously the most interesting asset, has attracted many investors and speculators in recent years. The visibly significant market capitalization of cryptos also motivates modern financial…

Risk Management · Quantitative Finance 2021-12-10 Junjie Hu , Wolfgang Karl Härdle , Weiyu Kuo

In this study, we predict next-day movements of stock end-of-day implied volatility using random forests. Through an ablation study, we examine the usefulness of different sources of predictors and expose the value of attention and…

Computational Finance · Quantitative Finance 2023-01-03 Thomas Dierckx , Jesse Davis , Wim Schoutens

Economic and financial theories and practice essentially deal with uncertain future. Humans encounter uncertainty in different kinds of activity, from sensory-motor control to dynamics in financial markets, what has been subject of…

Statistical Finance · Quantitative Finance 2021-10-08 Felix Polyakov

We calculate the realized volatility in the spin model of financial markets and examine the returns standardized by the realized volatility. We find that moments of the standardized returns agree with the theoretical values of standard…

Computational Finance · Quantitative Finance 2016-11-28 Tetsuya Takaishi

This paper examines how shocks to currency volatilities predict exchange rates. Using option-implied volatilities, we construct a dynamic, directed network of volatility connections. Currencies that transmit more volatility shocks, which…

General Finance · Quantitative Finance 2026-03-12 Mykola Babiak , Jozef Barunik

Based on empirical market data, a stochastic volatility model is proposed with volatility driven by fractional noise. The model is used to obtain a risk-neutrality option pricing formula and an option pricing equation.

Other Condensed Matter · Physics 2008-12-02 Rui Vilela Mendes , Maria Joao Oliveira

A simple Hawkes model have been developed for the price tick structure dynamics incorporating market microstructure noise and trade clustering. In this paper, the model is extended with random mark to deal with more realistic price tick…

Statistical Finance · Quantitative Finance 2019-07-30 Kyungsub Lee , Byoung Ki Seo

A new framework for asset price dynamics is introduced in which the concept of noisy information about future cash flows is used to derive the price processes. In this framework an asset is defined by its cash-flow structure. Each cash flow…

Pricing of Securities · Quantitative Finance 2013-01-31 Dorje C. Brody , Lane P. Hughston , Andrea Macrina

This article considers the pricing and hedging of a call option when liquidity matters, that is, either for a large nominal or for an illiquid underlying asset. In practice, as opposed to the classical assumptions of a price-taking agent in…

Trading and Market Microstructure · Quantitative Finance 2015-04-06 Olivier Guéant , Jiang Pu

We use the expectation of the range of an arithmetic Brownian motion and the method of moments on the daily high, low, opening and closing prices to estimate the volatility of the stock price. The daily price jump at the opening is…

Statistical Finance · Quantitative Finance 2011-12-21 Cristin Buescu , Michael Taksar , Fatoumata J. Koné

This paper develops a model for option market making in which the hedging activity of the market maker generates price impact on the underlying asset. The option order flow is modeled by Cox processes, with intensities depending on the…

Trading and Market Microstructure · Quantitative Finance 2026-04-30 Paulin Aubert , Etienne Chevalier , Vathana Ly Vath

We demonstrate that minority mechanisms arise in the dynamics of markets because of effects of price impact; accordingly the relative importance of minority and delayed majority mechanisms depends on the frequency of trading. We then use…

Statistical Mechanics · Physics 2008-12-02 Damien Challet , Tobias Galla

Measuring beliefs about natural disasters is challenging. Deep out-of-the-money options allow investors to hedge at a range of strikes and time horizons, thus the 3-dimensional surface of firm-level option prices provides information on (i)…

General Economics · Economics 2022-08-16 Amine Ouazad

We derive behavioral finance option pricing formulas consistent with the rational dynamic asset pricing theory. In the existing behavioral finance option pricing formulas, the price process of the representative agent is not a…

Pricing of Securities · Quantitative Finance 2017-10-10 Svetlozar Rachev , Stoyan Stoyanov , Frank J. Fabozzi

Low-frequency historical data, high-frequency historical data and option data are three major sources, which can be used to forecast the underlying security's volatility. In this paper, we propose two econometric models, which integrate…

Statistical Finance · Quantitative Finance 2019-07-08 Huiling Yuan , Yong Zhou , Zhiyuan Zhang , Xiangyu Cui

This work examines a stochastic volatility model with double-exponential jumps in the context of option pricing. The model has been considered in previous research articles, but no thorough analysis has been conducted to study its quality…

Pricing of Securities · Quantitative Finance 2025-09-17 Gaetano Agazzotti , Claudio Aglieri Rinella , Jean-Philippe Aguilar , Justin Lars Kirkby

In an efficient stock market, the log-returns and their time-dependent variances are often jointly modelled by stochastic volatility models (SVMs). Many SVMs assume that errors in log-return and latent volatility process are uncorrelated,…

Methodology · Statistics 2016-05-10 Sujay Mukhoti , Pritam Ranjan

The Black-Scholes implied volatility skew at the money of SPX options is known to obey a power law with respect to the time-to-maturity. We construct a model of the underlying asset price process which is dynamically consistent to the power…

Mathematical Finance · Quantitative Finance 2015-01-29 Masaaki Fukasawa
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