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Predicting volatility is important for asset predicting, option pricing and hedging strategies because it cannot be directly observed in the financial market. The Black-Scholes option pricing model is one of the most widely used models by…

Computational Finance · Quantitative Finance 2023-12-01 Soohan Kim , Seok-Bae Yun , Hyeong-Ohk Bae , Muhyun Lee , Youngjoon Hong

We investigate the use of the normalized imbalance between option volumes corresponding to positive and negative market views, as a predictor for directional price movements in the spot market. Via a nonlinear analysis, and using a…

Statistical Finance · Quantitative Finance 2022-01-25 Nikolas Michael , Mihai Cucuringu , Sam Howison

This paper presents static and dynamic versions of univariate, multivariate, and multilevel functional time-series methods to forecast implied volatility surfaces in foreign exchange markets. We find that dynamic functional principal…

Statistical Finance · Quantitative Finance 2021-07-30 Han Lin Shang , Fearghal Kearney

We explore credit risk pricing by modeling equity as a call option and debt as the difference between the firm's asset value and a put option, following the structural framework of the Merton model. Our approach proceeds in two stages:…

Risk Management · Quantitative Finance 2025-06-17 Jagdish Gnawali , Abootaleb Shirvani , Svetlozar T. Rachev

Implied volatility is at the very core of modern finance, notwithstanding standard option pricing models continue to derive option prices starting from the joint dynamics of the underlying asset price and the spot volatility. These models…

Mathematical Finance · Quantitative Finance 2021-05-14 Claude Martini , Iacopo Raffaelli

We consider implied volatilities in asset pricing models, where the discounted underlying is a strict local martingale under the pricing measure. Our main result gives an asymptotic expansion of the right wing of the implied volatility…

Mathematical Finance · Quantitative Finance 2015-08-19 Antoine Jacquier , Martin Keller-Ressel

A volatility surface is an important tool for pricing and hedging derivatives. The surface shows the volatility that is implied by the market price of an option on an asset as a function of the option's strike price and maturity. Often,…

Computational Finance · Quantitative Finance 2021-02-09 Maxime Bergeron , Nicholas Fung , John Hull , Zissis Poulos

Implied volatilities form a well-known structure of smile or surface which accommodates the Bachelier model and observed market prices of interest rate options. For the swaptions that we study, three parameters are taken into account for…

Statistical Finance · Quantitative Finance 2017-10-04 Jinglun Yao , Sabine Laurent , Brice Bénaben

We develop a new stock market index that captures the chaos existing in the market by measuring the mutual changes of asset prices. This new index relies on a tensor-based embedding of the stock market information, which in turn frees it…

Statistical Finance · Quantitative Finance 2021-06-09 Masoud Ataei , Shengyuan Chen , Zijiang Yang , M. Reza Peyghami

We introduce a multi-factor stochastic volatility model for commodities that incorporates seasonality and the Samuelson effect. Conditions on the seasonal term under which the corresponding volatility factor is well-defined are given, and…

Pricing of Securities · Quantitative Finance 2018-11-27 Lorenz Schneider , Bertrand Tavin

In February 2018, the VIX index has seen its largest ever increase and has lead to significant losses for some major volatility related products. Despite many efforts, the precise underlying reasons are yet to be discovered. We study the…

Applications · Statistics 2022-12-20 Kia Farokhnia , Joerg Osterrieder

This paper formulates a model of utility for a continuous time framework that captures the decision-maker's concern with ambiguity about both volatility and drift. Corresponding extensions of some basic results in asset pricing theory are…

Pricing of Securities · Quantitative Finance 2013-01-22 Larry G. Epstein , Shaolin Ji

In this paper, we present a method for constructing a (static) portfolio of co-maturing European options whose price sign is determined by the skewness level of the associated implied volatility. This property holds regardless of the…

Pricing of Securities · Quantitative Finance 2016-11-18 Sergey Nadtochiy , Jan Obloj

Purpose: This study introduces a novel framework for identifying and exploiting predictive lead-lag relationships in financial markets. We propose an integrated approach that combines advanced statistical methodologies with machine learning…

Statistical Finance · Quantitative Finance 2025-07-15 Ivan Letteri

We introduce a local volatility model for the valuation of options on commodity futures by using European vanilla option prices. The corresponding calibration problem is addressed within an online framework, allowing the use of multiple…

Computational Finance · Quantitative Finance 2016-02-16 Vinicius Albani , Uri M. Ascher , Jorge P. Zubelli

We consider an asset whose risk-neutral dynamics are described by a general class of local-stochastic volatility models and derive a family of asymptotic expansions for European-style option prices and implied volatilities. Our implied…

Computational Finance · Quantitative Finance 2014-12-01 Matthew Lorig , Stefano Pagliarani , Andrea Pascucci

This study investigates the short-term asymptotic behavior of the implied volatility surface (IVS), with a particular focus on the at-the-money (ATM) skew and curvature, which are key determinants of the IVS shape and whose are widely…

Pricing of Securities · Quantitative Finance 2025-06-24 Liexin Cheng , Xue Cheng

Implied volatility IV is a key metric in financial markets, reflecting market expectations of future price fluctuations. Research has explored IV's relationship with moneyness, focusing on its connection to the implied Hurst exponent H. Our…

Computational Finance · Quantitative Finance 2025-02-12 Daniele Angelini , Fabrizio Di Sciorio

We present a stochastic local volatility model for derivative contracts on commodity futures. The aim of the model is to be able to recover the prices of derivative claims both on futures contracts and on indices on futures strategies.…

Pricing of Securities · Quantitative Finance 2022-08-03 Alberto Manzano , Emanuele Nastasi , Andrea Pallavicini , Carlos Vázquez

Equity basket correlation can be estimated both using the physical measure from stock prices, and also using the risk neutral measure from option prices. The difference between the two estimates motivates a so-called "dispersion strategy''.…

Statistical Finance · Quantitative Finance 2020-09-22 Wolfgang Karl Härdle , Elena Silyakova