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With model uncertainty characterized by a convex, possibly non-dominated set of probability measures, the agent minimizes the cost of hedging a path dependent contingent claim with given expected success ratio, in a discrete-time,…

Mathematical Finance · Quantitative Finance 2017-09-29 Erhan Bayraktar , Gu Wang

The comparative statics of the optimal portfolios across individuals is carried out for a continuous-time complete market model, where the risky assets price process follows a joint geometric Brownian motion with time-dependent and…

Portfolio Management · Quantitative Finance 2012-01-04 Jianming Xia

Evaluation of systemic risk in networks of financial institutions in general requires information of inter-institution financial exposures. In the framework of Debt Rank algorithm, we introduce an approximate method of systemic risk…

Risk Management · Quantitative Finance 2021-04-14 Sebastian M. Krause , Hrvoje Štefančić , Vinko Zlatić , Guido Caldarelli

This paper introduces forward-looking measures of the network connectedness of fears in the financial system, arising due to the good and bad beliefs of market participants about uncertainty that spreads unequally across a network of banks.…

General Finance · Quantitative Finance 2020-10-27 Jozef Barunik , Mattia Bevilacqua , Radu Tunaru

We explore a decomposition in which returns on a large class of portfolios relative to the market depend on a smooth non-negative drift and changes in the asset price distribution. This decomposition is obtained using general continuous…

Portfolio Management · Quantitative Finance 2018-10-31 Ricardo T. Fernholz , Caleb Stroup

This paper focuses on a dynamic multi-asset mean-variance portfolio selection problem under model uncertainty. We develop a continuous time framework for taking into account ambiguity aversion about both expected return rates and…

Portfolio Management · Quantitative Finance 2021-12-02 Huyen Pham , Xiaoli Wei , Chao Zhou

We give a new predictive mathematical model for macroeconomics, which deals specifically with asset prices and earnings fluctuations, in the presence of a dynamic economy involving mergers, acquisitions, and hostile takeovers. Consider a…

Other Condensed Matter · Physics 2007-05-23 William Gordon Ritter

In this study, we consider the asset pricing under model uncertainty with discrete time and states structure. For the single-period securities model, we give a novel definition of arbitrage under a family of probability, and explore of its…

Mathematical Finance · Quantitative Finance 2025-12-25 Shuzhen Yang , Wenqing Zhang

Decisions taken in our everyday lives are based on a wide variety of information so it is generally very difficult to assess what are the strategies that guide us. Stock market therefore provides a rich environment to study how people take…

General Finance · Quantitative Finance 2016-09-28 Mario Gutiérrez-Roig , Carlota Segura , Jordi Duch , Josep Perelló

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…

Portfolio Management · Quantitative Finance 2013-06-21 M. Hossein Partovi

Maximum likelihood estimation applied to high-frequency data allows us to quantify intermittency in the fluctu- ations of asset prices. From time records as short as one month these methods permit extraction of a meaningful intermittency…

Statistical Finance · Quantitative Finance 2015-06-04 Martin Rypdal , Espen Sirnes , Ola Løvsletten , Kristoffer Rypdal

Risk management is very important for individual investors or companies. There are many ways to measure the risk of investment. Prices of risky assets vary rapidly and randomly due to the complexity of finance market. Random interval is a…

Portfolio Management · Quantitative Finance 2022-07-26 Jinping Zhang , Keming Zhang

The Capital Asset Pricing Model (CAPM) is one of the original models in explaining risk-return relationship in the financial market. However, when applying the CAPM into reality, it demonstrates a lot of shortcomings. While improving the…

Statistical Finance · Quantitative Finance 2015-11-24 Linh Nghiem

By decomposing asset returns into potential maximum gain (PMG) and potential maximum loss (PML) with price extremes, this study empirically investigated the relationships between PMG and PML. We found significant asymmetry between PMG and…

Computational Finance · Quantitative Finance 2019-01-08 Haibin Xie , Shouyang Wang

Risk assessment under different possible scenarios is a source of uncertainty that may lead to concerning financial losses. We address this issue, first, by adapting a robust framework to the class of spectral risk measures. Second, we…

Risk Management · Quantitative Finance 2019-05-21 Mohammed Berkhouch , Ghizlane Lakhnati , Marcelo Brutti Righi

Traditional machine learning methods have been widely studied in financial innovation. My study focuses on the application of deep learning methods on asset pricing. I investigate various deep learning methods for asset pricing, especially…

Statistical Finance · Quantitative Finance 2022-09-27 Chen Zhang

Managing a portfolio to a risk model can tilt the portfolio toward weaknesses of the model. As a result, the optimized portfolio acquires downside exposure to uncertainty in the model itself, what we call "second order risk." We propose a…

Portfolio Management · Quantitative Finance 2009-08-19 Peter G. Shepard

We present a general framework for measuring the liquidity risk. The theoretical framework defines a class of risk measures that incorporate the liquidity risk into the standard risk measures. We consider a one-period risk measurement…

Mathematical Finance · Quantitative Finance 2016-10-31 Erindi Allaj

This paper introduces a relative model risk measure of a product priced with a given model, with respect to another reference model for which the market is assumed to be driven. This measure allows comparing products valued with different…

Risk Management · Quantitative Finance 2015-03-19 Alberto Elices , Eduard Giménez

Price movements of stock market are not totally random. In fact, what drives the financial market and what pattern financial time series follows have long been the interest that attracts economists, mathematicians and most recently computer…

Statistical Finance · Quantitative Finance 2013-11-20 G. Kavitha , A. Udhayakumar , D. Nagarajan
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