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Risk diversification is the basis of insurance and investment. It is thus crucial to study the effects that could limit it. One of them is the existence of systemic risk that affects all the policies at the same time. We introduce here a…

风险管理 · 定量金融 2013-12-03 Marc Busse , Michel Dacorogna , Marie Kratz

Modern portfolio theory(MPT) addresses the problem of determining the optimum allocation of investment resources among a set of candidate assets. In the original mean-variance approach of Markowitz, volatility is taken as a proxy for risk,…

统计力学 · 物理学 2009-11-07 Morrel H. Cohen , Vincent D. Natoli

Classical mean-variance portfolio theory tells us how to construct a portfolio of assets which has the greatest expected return for a given level of return volatility. Utility theory then allows an investor to choose the point along this…

投资组合管理 · 定量金融 2009-09-21 Alex Dannenberg

In this paper, we present an adaptive investment strategy for environments with periodic returns on investment. In our approach, we consider an investment model where the agent decides at every time step the proportion of wealth to invest…

计算工程、金融与科学 · 计算机科学 2008-12-01 J. -Emeterio Navarro

Determining contributions by sub-portfolios or single exposures to portfolio-wide economic capital for credit risk is an important risk measurement task. Often economic capital is measured as Value-at-Risk (VaR) of the portfolio loss…

统计理论 · 数学 2009-06-18 Dirk Tasche

We study the consistency of sample mean-variance portfolios of arbitrarily high dimension that are based on Bayesian or shrinkage estimation of the input parameters as well as weighted sampling. In an asymptotic setting where the number of…

投资组合管理 · 定量金融 2015-05-30 Francisco Rubio , Xavier Mestre , Daniel P. Palomar

We review the recently introduced concept of variety of a financial portfolio and we sketch its importance for risk control purposes. The empirical behaviour of variety, correlation, exceedance correlation and asymmetry of the probability…

统计力学 · 物理学 2008-12-10 Fabrizio Lillo , Rosario N. Mantegna , Jean-Philippe Bouchaud , Marc Potters

Most people are risk-averse (risk-seeking) when they expect to gain (lose). Based on a generalization of ``expected utility theory'' which takes this into account, we introduce an automaton mimicking the dynamics of economic operations.…

统计力学 · 物理学 2009-11-07 C. Anteneodo , C. Tsallis , A. S. Martinez

This paper considers finitely many investors who perform mean-variance portfolio selection under relative performance criteria. That is, each investor is concerned about not only her terminal wealth, but how it compares to the average…

数理金融 · 定量金融 2026-05-14 Yu-Jui Huang , Li-Hsien Sun

We introduce a neural network approach for assessing the risk of a portfolio of assets and liabilities over a given time period. This requires a conditional valuation of the portfolio given the state of the world at a later time, a problem…

风险管理 · 定量金融 2021-05-27 Patrick Cheridito , John Ery , Mario V. Wüthrich

We analyze the relative price change of assets starting from basic supply/demand considerations subject to arbitrary motivations. The resulting stochastic differential equation has coefficients that are functions of supply and demand. We…

理论经济学 · 经济学 2020-08-26 Carey Caginalp , Gunduz Caginalp

The problem of finding the optimal portfolio for investors is called the portfolio optimization problem. Such problem mainly concerns the expectation and variability of return (i.e., mean and variance). Although the variance would be the…

投资组合管理 · 定量金融 2020-07-21 Kei Nakagawa , Shuhei Noma , Masaya Abe

The conventional wisdom of mean-variance (MV) portfolio theory asserts that the nature of the relationship between risk and diversification is a decreasing asymptotic function, with the asymptote approximating the level of portfolio…

投资组合管理 · 定量金融 2016-08-19 Gilles Boevi Koumou

The real options approach is now considered an effective alternative to the corporate DCF model for a feasibility study. The current paper offers a practical methodology employing binomial trees and real options techniques for evaluating…

风险管理 · 定量金融 2023-03-17 Volodymyr Savchuk

The value-at-risk of a delta-gamma approximated derivatives portfolio can be computed by numerical integration of the characteristic function. However, while the choice of parameters in any numerical integration scheme is paramount, in…

应用统计 · 统计学 2014-02-27 Johannes Vitalis Siven , Jeffrey Todd Lins , Anna Szymkowiak-Have

We identify a new type of risk, common firm-level investor fears, from commonalities within the cross-sectional distribution of individual stock options. We define firm-level fears that link with upward price movements as good fears, and…

综合金融 · 定量金融 2023-09-11 Jozef Barunik , Mattia Bevilacqua , Michael Ellington

We introduce the Historical and Dynamic Volatility Ratios (HVR/DVR) and show that equity and index volatilities are cointegrated at intraday and daily horizons. This allows us to construct a VECM to forecast portfolio volatility by…

投资组合管理 · 定量金融 2025-09-30 Gabriele Casto

The entropic value-at-risk (EVaR) is a new coherent risk measure, which is an upper bound for both the value-at-risk (VaR) and conditional value-at-risk (CVaR). As important properties, the EVaR is strongly monotone over its domain and…

投资组合管理 · 定量金融 2020-04-17 Amir Ahmadi-Javid , Malihe Fallah-Tafti

We solve an expected utility-maximization problem with a Value-at-risk constraint on the terminal portfolio value in an incomplete financial market due to stochastic volatility. To derive the optimal investment strategy, we use the dynamic…

投资组合管理 · 定量金融 2025-05-21 Marcos Escobar-Anel , Yevhen Havrylenko , Rudi Zagst

This thesis presents the Conditional Value-at-Risk concept and combines an analysis that covers its application as a risk measure and as a vector norm. For both areas of application the theory is revised in detail and examples are given to…

风险管理 · 定量金融 2015-11-03 Jakob Kisiala