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In the standard equilibrium and/or arbitrage pricing framework, the value of any asset is uniquely specified from the belief that only the systematic risks need to be remunerated by the market. Here, we show that, even for arbitrary large…

Physics and Society · Physics 2008-12-02 Y. Malevergne , D. Sornette

Options are contingent claims regarding the value of underlying assets. The Black-Scholes formula provides a road map for pricing these options in a risk-neutral setting, justified by a delta hedging argument in which countervailing…

Mathematical Finance · Quantitative Finance 2026-05-26 Erina Nanyonga , Matt Davison

We propose a sequential optimizing betting strategy in the multi-dimensional bounded forecasting game in the framework of game-theoretic probability of Shafer and Vovk (2001). By studying the asymptotic behavior of its capital process, we…

Probability · Mathematics 2011-02-16 Masayuki Kumon , Akimichi Takemura , Kei Takeuchi

We show that the higher-order terms and interactions of the common sparse linear factors are significantly priced in the cross-section of equity returns. A higher-order model with only a small number of selected higher-order terms from six…

Econometrics · Economics 2026-03-25 Nicola Borri , Denis Chetverikov , Yukun Liu , Aleh Tsyvinski

DeMarzo et al. (2005) consider auctions in which bids are selected from a completely ordered family of securities whose values are tied to the resource being auctioned. The paper defines a notion of relative steepness of families of…

Computer Science and Game Theory · Computer Science 2015-01-14 Vineet Abhishek , Bruce Hajek , Steven R. Williams

Standard, PCA-based factor analysis suffers from a number of well known problems due to the random nature of pairwise correlations of asset returns. We analyse an alternative based on ICA, where factors are identified based on their…

Portfolio Management · Quantitative Finance 2022-03-02 Jan Rosenzweig

We give an explicit algorithm and source code for extracting equity risk factors from dead (a.k.a. "flatlined" or "hockey-stick") alphas and using them to improve performance characteristics of good (tradable) alphas. In a nutshell, we use…

Portfolio Management · Quantitative Finance 2018-02-27 Zura Kakushadze , Willie Yu

We consider off-policy selection and learning in contextual bandits, where the learner aims to select or train a reward-maximizing policy using data collected by a fixed behavior policy. Our contribution is two-fold. First, we propose a…

Machine Learning · Computer Science 2025-07-15 J. Jon Ryu , Jeongyeol Kwon , Benjamin Koppe , Kwang-Sung Jun

It has been widely observed that capitalization-weighted indexes can be beaten by surprisingly simple, systematic investment strategies. Indeed, in the U.S. stock market, equal-weighted portfolios, random-weighted portfolios, and other…

Portfolio Management · Quantitative Finance 2018-09-12 Adrian Banner , Robert Fernholz , Vassilios Papathanakos , Johannes Ruf , David Schofield

We examine two types of binary betting markets, whose primary goal is for profit (such as sports gambling) or to gain information (such as prediction markets). We articulate the interplay between belief and price-setting to analyse both…

Computer Science and Game Theory · Computer Science 2024-06-07 Haiqing Zhu , Alexander Soen , Yun Kuen Cheung , Lexing Xie

We provide a comprehensive analysis of the two-parameter Beta distributions seen from the perspective of second-order stochastic dominance. By changing its parameters through a bijective mapping, we work with a bounded subset D instead of…

Probability · Mathematics 2022-08-01 Yann Braouezec , John Cagnol

Two players alternate tossing a biased coin where the probability of getting heads is p. The current player is awarded alpha points for tails and alpha+beta for heads. The first player reaching n points wins. For a completely unfair coin…

Probability · Mathematics 2011-12-15 Robert W. Chen , Burton Rosenberg

We analyze a negative-parameter variant of the diversity-weighted portfolio studied by Fernholz, Karatzas, and Kardaras (Finance Stoch 9(1):1-27, 2005), which invests in each company a fraction of wealth inversely proportional to the…

Mathematical Finance · Quantitative Finance 2016-05-10 Alexander Vervuurt , Ioannis Karatzas

How to hedge factor risks without knowing the identities of the factors? We first prove a general theoretical result: even if the exact set of factors cannot be identified, any risky asset can use some portfolio of similar peer assets to…

Statistical Finance · Quantitative Finance 2021-03-19 Raymond C. W. Leung , Yu-Man Tam

The widespread co-existence of misspecification and weak identification in asset pricing has led to an overstated performance of risk factors. Because the conventional Fama and MacBeth (1973) methodology is jeopardized by misspecification…

Econometrics · Economics 2022-06-29 Frank Kleibergen , Zhaoguo Zhan

We consider the psychological effect of preference reversal and show that it finds a natural explanation in the frame of quantum decision theory. When people choose between lotteries with non-negative payoffs, they prefer a more certain…

Physics and Society · Physics 2015-10-09 V. I. Yukalov , D. Sornette

We find that the CAPM fails to explain the small firm effect even if its non-parametric form is used which allows time-varying risk and non-linearity in the pricing function. Furthermore, the linearity of the CAPM can be rejected, thus the…

Pricing of Securities · Quantitative Finance 2017-03-29 Peter Erdos , Mihaly Ormos , David Zibriczky

The asset pricing literature emphasizes factor models that minimize pricing errors but overlooks unselected candidate factors that could enhance the performance of test assets. This paper proposes a framework for factor model selection and…

Econometrics · Economics 2026-01-16 Guanhao Feng , Wei Lan , Hansheng Wang , Jun Zhang

The multi-armed bandit (MAB) is a classical online optimization model for the trade-off between exploration and exploitation. The traditional MAB is concerned with finding the arm that minimizes the mean cost. However, minimizing the mean…

Optimization and Control · Mathematics 2018-09-17 Jianyu Xu , William B. Haskell , Zhisheng Ye

We discuss the foundations of factor or regression models in the light of the self-consistency condition that the market portfolio (and more generally the risk factors) is (are) constituted of the assets whose returns it is (they are)…

Physics and Society · Physics 2009-11-13 Y. Malevergne , D. Sornette