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Since the quasiconvex risk measures is a bigger class than the well known convex risk measures, the study of quasiconvex risk measures makes sense especially in the financial markets with volatility. In this paper, we will study the…

Risk Management · Quantitative Finance 2019-06-26 Fei Sun , Yijun Hu

The dynamic hedging theory only makes sense in the setup of one given model, whereas the practice of dynamic hedging is just the opposite, with models fleeing after the data through daily recalibration. This is quite of a quantitative…

Risk Management · Quantitative Finance 2026-01-06 Cyril Bénézet , Stéphane Crépey , Dounia Essaket

This paper formulates and studies a general continuous-time behavioral portfolio selection model under Kahneman and Tversky's (cumulative) prospect theory, featuring S-shaped utility (value) functions and probability distortions. Unlike the…

Portfolio Management · Quantitative Finance 2008-12-02 Hanqing Jin , Xunyu Zhou

To find a trade-off between profitability and prudence, financial practitioners need to choose appropriate risk measures. Two key points are: Firstly, investors' risk attitudes under uncertainty conditions should be an important reference…

Risk Management · Quantitative Finance 2019-07-30 Wentao Hu

The present article explores the application of randomized control techniques in empirical asset pricing and performance evaluation. It introduces geometric random walks, a class of Markov chain Monte Carlo methods, to construct flexible…

Portfolio Management · Quantitative Finance 2024-03-04 Cyril Bachelard , Apostolos Chalkis , Vissarion Fisikopoulos , Elias Tsigaridas

We investigate how and when to diversify capital over assets, i.e., the portfolio selection problem, from a signal processing perspective. To this end, we first construct portfolios that achieve the optimal expected growth in i.i.d.…

Portfolio Management · Quantitative Finance 2012-07-18 Sait Tunc , Mehmet A. Donmez , Suleyman S. Kozat

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…

Risk Management · Quantitative Finance 2015-03-19 Dan A. Iancu , Marek Petrik , Dharmashankar Subramanian

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures…

Risk Management · Quantitative Finance 2011-07-14 Mikhail Voropaev

Markov switching models are often used to analyze financial returns because of their ability to capture frequently observed stylized facts. In this paper we consider a multivariate Student-t version of the model as a viable alternative to…

Methodology · Statistics 2014-03-04 Mauro Bernardi , Antonello Maruotti , Lea Petrella

The classical approach to multivariate extreme value modelling assumes that the joint distribution belongs to a multivariate domain of attraction. This requires each marginal distribution be individually attracted to a univariate extreme…

Statistics Theory · Mathematics 2012-10-12 Sidney Resnick , David Zeber

In this paper, we search for optimal portfolio strategies in the presence of various risk measure that are common in financial applications. Particularly, we deal with the static optimization problem with respect to Value at Risk, Expected…

Portfolio Management · Quantitative Finance 2019-12-23 Alev Meral

This paper presents comparison results and establishes risk bounds for credit portfolios within classes of Bernoulli mixture models, assuming conditionally independent defaults that are stochastically increasing with a common risk factor.…

Risk Management · Quantitative Finance 2025-12-24 Jonathan Ansari , Eva Lütkebohmert

Our paper contributes to the theory of conditional risk measures and conditional certainty equivalents. We adopt a random modular approach which proved to be effective in the study of modular convex analysis and conditional risk measures.…

Mathematical Finance · Quantitative Finance 2022-11-10 Giulio Principi , Fabio Maccheroni

Systemic risk measures were introduced to capture the global risk and the corresponding contagion effects that is generated by an interconnected system of financial institutions. To this purpose, two approaches were suggested. In the first…

Optimization and Control · Mathematics 2024-02-23 Sarah Kaakai , Anis Matoussi , Achraf Tamtalini

The financial crisis showed the importance of measuring, allocating and regulating systemic risk. Recently, the systemic risk measures that can be decomposed into an aggregation function and a scalar measure of risk, received a lot of…

Risk Management · Quantitative Finance 2020-07-14 Çağın Ararat , Birgit Rudloff

This paper concerns sequential computation of risk measures for financial data and asks how, given a risk measurement procedure, we can tell whether the answers it produces are `correct'. We draw the distinction between `external' and…

Risk Management · Quantitative Finance 2015-11-20 Mark H. A. Davis

This paper investigates performance attribution measures as a basis for constraining portfolio optimization. We employ optimizations that minimize expected tail loss and investigate both asset allocation (AA) and the selection effect (SE)…

Risk Management · Quantitative Finance 2021-03-09 Yuan Hu , W. Brent Lindquist

The issue of model risk in default modeling has been known since inception of the Academic literature in the field. However, a rigorous treatment requires a description of all the possible models, and a measure of the distance between a…

Mathematical Finance · Quantitative Finance 2019-06-17 Roberto Fontana , Elisa Luciano , Patrizia Semeraro

We consider an investor who seeks to maximize her expected utility derived from her terminal wealth relative to the maximum performance achieved over a fixed time horizon, and under a portfolio drawdown constraint, in a market with local…

Portfolio Management · Quantitative Finance 2016-10-28 Ankush Agarwal , Ronnie Sircar

We consider a collection of derivatives that depend on the price of an underlying asset at expiration or maturity. The absence of arbitrage is equivalent to the existence of a risk-neutral probability distribution on the price; in…

Computational Finance · Quantitative Finance 2020-03-09 Shane Barratt , Jonathan Tuck , Stephen Boyd