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Related papers: Liquidity Costs, Idiosyncratic Volatility and Expe…

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We model the price of a stock via a Lang\'{e}vin equation with multi-dimensional fluctuations coupled in the price and in time. We generalize previous models in that we assume that the fluctuations conditioned on the time step are compound…

Mathematical Physics · Physics 2008-12-10 Przemyslaw Repetowicz , Peter Richmond

The existence of the pricing kernel is shown to imply the existence of an ambient information process that generates market filtration. This information process consists of a signal component concerning the value of the random variable X…

General Finance · Quantitative Finance 2011-03-17 Grzegorz Andruszkiewicz , Dorje C. Brody

Variable annuities, as a class of retirement income products, allow equity market exposure for a policyholder's retirement fund with electable additional guarantees to limit the downside risk of the market. Management fees and guarantee…

Pricing of Securities · Quantitative Finance 2017-05-12 Jin Sun , Pavel V. Shevchenko , Man Chung Fung

Many active funds hold concentrated portfolios. Flow-driven trading in these securities causes price pressure, which pushes up the funds' existing positions resulting in realized returns. We decompose fund returns into a price pressure…

General Finance · Quantitative Finance 2024-05-22 Philippe van der Beck , Jean-Philippe Bouchaud , Dario Villamaina

We study the sensitivity to estimation error of portfolios optimized under various risk measures, including variance, absolute deviation, expected shortfall and maximal loss. We introduce a measure of portfolio sensitivity and test the…

Physics and Society · Physics 2008-12-02 Imre Kondor , Szilard Pafka , Gabor Nagy

The main purpose of this work is to derive a partial differential equation for the reserves of life insurance liabilities subject to stochastic interest rates where the benefits and premiums depend directly on changes in the interest rate…

Risk Management · Quantitative Finance 2021-01-01 David R. Baños

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 consider the problem of calculating risk-neutral implied volatilities of European options without relying on option mid prices but solely on bid and ask prices. We provide an approach, based on the conic finance paradigm, that allows to…

Mathematical Finance · Quantitative Finance 2021-10-25 Matteo Michielon , Asma Khedher , Peter Spreij

Prediction markets rely on liquidity to convert trades into informative prices, yet existing mechanisms fix liquidity ex ante. This restriction enforces a static trade-off between price responsiveness and worst-case loss despite inherently…

Computer Science and Game Theory · Computer Science 2026-05-12 Enrique Nueve , Bao Nguyen , Rafael Frongillo , Bo Waggoner

The volatility characterizes the amplitude of price return fluctuations. It is a central magnitude in finance closely related to the risk of holding a certain asset. Despite its popularity on trading floors, the volatility is unobservable…

Physics and Society · Physics 2008-12-02 Zoltan Eisler , Josep Perello , Jaume Masoliver

One the one hand, rough volatility has been shown to provide a consistent framework to capture the properties of stock price dynamics both under the historical measure and for pricing purposes. On the other hand, market price of volatility…

Mathematical Finance · Quantitative Finance 2025-12-05 Ofelia Bonesini , Antoine Jacquier , Aitor Muguruza

Recent studies inspired by results from random matrix theory [1,2,3] found that covariance matrices determined from empirical financial time series appear to contain such a high amount of noise that their structure can essentially be…

Statistical Mechanics · Physics 2009-11-07 Szilard Pafka , Imre Kondor

An asset pricing model using long-run capital share growth risk has recently been found to successfully explain U.S. stock returns. Our paper adopts a recursive preference utility framework to derive an heterogeneous asset pricing model…

Econometrics · Economics 2020-06-26 Joseph P. Byrne , Boulis M. Ibrahim , Xiaoyu Zong

Diversification return is an incremental return earned by a rebalanced portfolio of assets. The diversification return of a rebalanced portfolio is often incorrectly ascribed to a reduction in variance. We argue that the underlying source…

Portfolio Management · Quantitative Finance 2011-09-07 Scott Willenbrock

We investigate whether the tails of firm-level idiosyncratic return distributions are driven by common shocks. We use quantile factor analysis to extract such common idiosyncratic quantile factors with asymmetric pricing effects and we find…

General Finance · Quantitative Finance 2026-03-12 Jozef Barunik , Matej Nevrla

We study several aspects of the so-called low-vol and low-beta anomalies, some already documented (such as the universality of the effect over different geographical zones), others hitherto not clearly discussed in the literature. Our most…

Portfolio Management · Quantitative Finance 2015-10-08 S. Ciliberti , Y. Lempérière , A. Beveratos , G. Simon , L. Laloux , M. Potters , J. P. Bouchaud

We study the interaction between returns and order flow imbalances in the S&P 500 E-mini futures market using a structural VAR model identified through heteroskedasticity. The model is estimated at one-second frequency for each 15-minute…

Trading and Market Microstructure · Quantitative Finance 2025-10-09 Makoto Takahashi

Equity premium, the surplus returns of stocks over bonds, has been an enduring puzzle. While numerous prior works approach the problem assuming the utility of money is invariant across contexts, our approach implies that in efficient…

General Economics · Economics 2024-01-18 B. N. Kausik

We present an empirical analysis of the microstructure of financial markets and, in particular, of the static and dynamic properties of liquidity. We find that on relatively large time scales (15 minutes) large price fluctuations are…

Trading and Market Microstructure · Quantitative Finance 2015-12-09 Francesco Corradi , Andrea Zaccaria , Luciano Pietronero

We present a robust version of the life-cycle optimal portfolio choice problem in the presence of labor income, as introduced in Biffis, Gozzi and Prosdocimi ("Optimal portfolio choice with path dependent labor income: the infinite horizon…

Optimization and Control · Mathematics 2022-03-08 Sara Biagini , Fausto Gozzi , Margherita Zanella