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This paper introduces a dynamic change of measure approach for computing the analytical solutions of expected future prices (and therefore, expected returns) of contingent claims over a finite horizon. The new approach constructs hybrid…

证券定价 · 定量金融 2022-05-25 Sanjay K. Nawalkha , Xiaoyang Zhuo

We propose a new procedure for the risk measurement of large portfolios. It employs the following objects as the building blocks: - coherent risk measures introduced by Artzner, Delbaen, Eber, and Heath; - factor risk measures introduced in…

概率论 · 数学 2008-12-02 Alexander S. Cherny , Dilip B. Madan

In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no arbitrage…

数理金融 · 定量金融 2016-09-12 Gianluca Cassese

This paper compares two different frameworks recently introduced in the literature for measuring risk in a multi-period setting. The first corresponds to applying a single coherent risk measure to the cumulative future costs, while the…

风险管理 · 定量金融 2015-03-19 Dan A. Iancu , Marek Petrik , Dharmashankar Subramanian

We introduce two kinds of risk measures with respect to some reference probability measure, which both allow for a certain order structure and domination property. Analyzing their relation to each other leads to the question when a certain…

风险管理 · 定量金融 2022-04-15 Christa Cuchiero , Guido Gazzani , Irene Klein

The CAPM regression is typically interpreted as if the market return contemporaneously \emph{causes} individual returns, motivating beta-neutral portfolios and factor attribution. For realized equity returns, however, this interpretation is…

理论经济学 · 经济学 2025-09-25 Naftali Cohen

We consider a Black-Scholes market in which a number of stocks and an index are traded. The simplified Capital Asset Pricing Model is the conjunction of the usual Capital Asset Pricing Model, or CAPM, and the statement that the appreciation…

投资组合管理 · 定量金融 2011-11-14 Vladimir Vovk

The risk of financial positions is measured by the minimum amount of capital to raise and invest in eligible portfolios of traded assets in order to meet a prescribed acceptability constraint. We investigate nondegeneracy, finiteness and…

风险管理 · 定量金融 2014-03-05 Walter Farkas , Pablo Koch-Medina , Cosimo Munari

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

计量经济学 · 经济学 2026-01-13 Jiawei Fu , Donald P. Green

In this paper, we investigate the features and the performance of the Risk Parity (RP) portfolios using the Mean Absolute Deviation (MAD) as a risk measure. The RP model is a recent strategy for asset allocation that aims at equally sharing…

投资组合管理 · 定量金融 2024-01-19 Çağın Ararat , Francesco Cesarone , Mustafa Çelebi Pınar , Jacopo Maria Ricci

The new notion of maturity-independent risk measures is introduced and contrasted with the existing risk measurement concepts. It is shown, by means of two examples, one set on a finite probability space and the other in a diffusion…

风险管理 · 定量金融 2008-12-02 Thaleia Zariphopoulou , Gordan Zitkovic

In several applications such as clinical trials and financial portfolio optimization, the expected value (or the average reward) does not satisfactorily capture the merits of a drug or a portfolio. In such applications, risk plays a crucial…

机器学习 · 统计学 2022-05-13 Vincent Y. F. Tan , Prashanth L. A. , Krishna Jagannathan

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:…

风险管理 · 定量金融 2025-06-17 Jagdish Gnawali , Abootaleb Shirvani , Svetlozar T. Rachev

A new class of risk measures called cash sub-additive risk measures is introduced to assess the risk of future financial, nonfinancial and insurance positions. The debated cash additive axiom is relaxed into the cash sub additive axiom to…

风险管理 · 定量金融 2008-12-02 Nicole El Karoui , Claudia Ravanelli

The principal portfolios of the standard Capital Asset Pricing Model (CAPM) are analyzed and found to have remarkable hedging and leveraging properties. Principal portfolios implement a recasting of any correlated asset set of N risky…

投资组合管理 · 定量金融 2013-06-21 M. Hossein Partovi

This article's aim is to provide the solution to the equity premium puzzle without using calibrated values. Calibrated values of subjective time discount factor were used in my prior derived models because 4 variables were determined from 3…

综合金融 · 定量金融 2026-03-16 Atilla Aras

In this paper we present a theoretical framework for studying coherent acceptability indices in a dynamic setup. We study dynamic coherent acceptability indices and dynamic coherent risk measures, and we establish a duality between them. We…

风险管理 · 定量金融 2011-05-23 Tomasz R. Bielecki , Igor Cialenco , Zhao Zhang

Although the CML (Capital Market Line), the Intertemporal-CAPM, the CAPM/SML (Security Market Line) and the Intertemporal Arbitrage Pricing Theory (IAPT) are widely used in portfolio management, valuation and capital markets financing;…

综合金融 · 定量金融 2020-05-05 Michael Nwogugu

Reinforcement Learning (RL) agents in the real world must satisfy safety constraints in addition to maximizing a reward objective. Model-based RL algorithms hold promise for reducing unsafe real-world actions: they may synthesize policies…

机器学习 · 计算机科学 2021-12-16 Yecheng Jason Ma , Andrew Shen , Osbert Bastani , Dinesh Jayaraman

We establish a profound connection between coherent risk measures, a prominent object in quantitative finance, and uniform integrability, a fundamental concept in probability theory. Instead of working with absolute values of random…

风险管理 · 定量金融 2025-04-08 Muqiao Huang , Ruodu Wang