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This paper studies the effect of quarterly earnings reports on the stock price. The profitability of the stock is modelled by geometric Brownian diffusion and the Constant Elasticity of Variance model. We fit several variations of…

Applications · Statistics 2023-08-23 Daniil Karzanov

This paper presents closed-form analytical formulas for pricing volatility and variance derivatives with nonlinear payoffs under discrete-time observations. The analysis is based on a probabilistic approach assuming that the underlying…

Statistics Theory · Mathematics 2025-06-19 Nontawat Bunchak , Udomsak Rakwongwan , Phiraphat Sutthimat

We assess the advantage of combining univariate and multivariate portfolio risk forecasts with the aid of forecast reconciliation techniques. In our analyzes, we assume knowledge of portfolio weights, a standard for portfolio risk…

Applications · Statistics 2026-04-22 Massimiliano Caporin , Daniele Girolimetto , Emanuele Lopetuso

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

The analysis of high-frequency financial data is often impeded by the presence of noise. This article is motivated by intraday return data in which market microstructure noise appears to be rough, that is, best captured by a continuous-time…

Statistics Theory · Mathematics 2024-11-12 Carsten H. Chong , Thomas Delerue , Guoying Li

Recent research has documented a significant rise in the volatility (e.g., expected squared change) of individual incomes in the U.S. since the 1970s. Existing measures of this trend abstract from individual heterogeneity, effectively…

Statistical Finance · Quantitative Finance 2008-12-02 Shane T. Jensen , Stephen H. Shore

This paper considers the finite horizon portfolio rebalancing problem in terms of mean-variance optimization, where decisions are made based on current information on asset returns and transaction costs. The study's novelty is that the…

Methodology · Statistics 2025-08-21 Qingliang Fan , Marcelo C. Medeiros , Hanming Yang , Songshan Yang

For many households, investing for retirement is one of the most significant decisions and is fraught with uncertainty. In a classic study in behavioral economics, Benartzi and Thaler (1999) found evidence using bar charts that investors…

Human-Computer Interaction · Computer Science 2021-07-28 Ryan Wesslen , Alireza Karduni , Douglas Markant , Wenwen Dou

This note discusses some of the aspects of a model for the covariance of equity returns based on a simple "isotropic" structure in which all pairwise correlations are taken to be the same value. The effect of the structure on feasible…

Portfolio Management · Quantitative Finance 2025-07-29 Graham L. Giller

We introduce a microscopic model for the dynamics of the order book to study how the lack of liquidity influences price fluctuations. We use the average density of the stored orders (granularity $g$) as a proxy for liquidity. This leads to…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 M. Cristelli , V. Alfi , L. Pietronero , A. Zaccaria

Invoice or payment dilution is the gap between the approved invoice amount and the actual collection is a significant source of non credit risk and margin loss in supply chain finance. Traditionally, this risk is managed through the buyer's…

Artificial Intelligence · Computer Science 2026-02-18 Pavel Koptev , Vishnu Kumar , Konstantin Malkov , George Shapiro , Yury Vikhanov

A technique for on-line estimation of spot volatility for high-frequency data is developed. The algorithm works directly on the transaction data and updates the volatility estimate immediately after the occurrence of a new transaction.…

Methodology · Statistics 2013-01-15 Rainer Dahlhaus , Jan C. Neddermeyer

We consider the pricing problem related to payoffs that can have discontinuities of polynomial growth. The asset price dynamic is modeled within the Black and Scholes framework characterized by a stochastic volatility term driven by a…

Probability · Mathematics 2016-07-26 Viktor Bezborodov , Luca Di Persio , Yuliya Mishura

We apply the concepts of utility based pricing and hedging of derivatives in stochastic volatility markets and introduce a new class of "reciprocal affine" models for which the indifference price and optimal hedge portfolio for pure…

Probability · Mathematics 2008-12-02 M. R. Grasselli , T. R. Hurd

Prediction-market price moves are widely treated as informationally equivalent: a price jump is read the same way regardless of whether it reflects durable Bayesian updating, transient liquidity pressure, strategic position adjustment, or…

General Economics · Economics 2026-05-01 Maksym Nechepurenko

In Part II of this paper, we concentrate our analysis on the price dynamical model with the moving average rules developed in Part I of this paper. By decomposing the excessive demand function, we reveal that it is the interplay between…

Trading and Market Microstructure · Quantitative Finance 2016-11-18 Li-Xin Wang

This paper revisits the fractional cointegrating relationship between ex-ante implied volatility and ex-post realized volatility. We argue that the concept of corridor implied volatility (CIV) should be used instead of the popular…

Statistical Finance · Quantitative Finance 2013-02-15 Jozef Barunik , Michaela Barunikova

We establish innovative liquidity premium measures, and construct liquidity-adjusted return and volatility to model assets with extreme liquidity, represented by a portfolio of selected crypto assets, and upon which we develop a set of…

Portfolio Management · Quantitative Finance 2024-02-20 Qi Deng , Zhong-guo Zhou

We study the construction and rebalancing of sparse index-tracking portfolios from an operational research perspective, with explicit emphasis on uncertainty quantification and implementability. The decision variables are portfolio weights…

Computational Finance · Quantitative Finance 2025-12-29 Dimitrios Roxanas

Dynamic jumps in the price and volatility of an asset are modelled using a joint Hawkes process in conjunction with a bivariate jump diffusion. A state space representation is used to link observed returns, plus nonparametric measures of…

Applications · Statistics 2016-03-10 Worapree Maneesoonthorn , Catherine S. Forbes , Gael M. Martin
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