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Modeling and managing portfolio risk is perhaps the most important step to achieve growing and preserving investment performance. Within the modern portfolio construction framework that built on Markowitz's theory, the covariance matrix of…

Risk Management · Quantitative Finance 2021-10-28 Hengxu Lin , Dong Zhou , Weiqing Liu , Jiang Bian

This paper describes a general approach for stochastic modeling of assets returns and liability cash-flows of a typical pensions insurer. On the asset side, we model the investment returns on equities and various classes of fixed-income…

Risk Management · Quantitative Finance 2020-05-27 Sergio Alvares Maffra , John Armstrong , Teemu Pennanen

Designing dynamic portfolio insurance strategies under market conditions switching between two or more regimes is a challenging task in financial economics. Recently, a promising approach employing the value-at-risk (VaR) measure to assign…

Computational Finance · Quantitative Finance 2023-05-23 Peyman Alipour , Ali Foroush Bastani

Financial undertakings often have to deal with liabilities of the form 'non-hedgeable claim size times value of a tradeable asset', e.g. foreign property insurance claims times fx rates. Which strategy to invest in the tradeable asset is…

Risk Management · Quantitative Finance 2020-11-30 Andreas Kunz , Markus Popp

Motivated by the current global high inflation scenario, we aim to discover a dynamic multi-period allocation strategy to optimally outperform a passive benchmark while adhering to a bounded leverage limit. To this end, we formulate an…

Portfolio Management · Quantitative Finance 2023-05-26 Chendi Ni , Yuying Li , Peter A. Forsyth

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

This paper introduces marginal fairness, a new individual fairness notion for equitable decision-making in the presence of protected attributes such as gender, race, and religion. This criterion ensures that decisions based on generalized…

Machine Learning · Statistics 2025-05-27 Fei Huang , Silvana M. Pesenti

Utility and risk are two often competing measurements on the investment success. We show that efficient trade-off between these two measurements for investment portfolios happens, in general, on a convex curve in the two dimensional space…

Portfolio Management · Quantitative Finance 2018-05-16 Stanislaus Maier-Paape , Qiji Jim Zhu

Reinsurance counterparty credit risk (RCCR) is the risk of a loss arising from the fact that a reinsurance company is unable to fulfill her contractual obligations towards the ceding insurer. RCCR is an important risk category for insurance…

Risk Management · Quantitative Finance 2019-09-11 Claudia Ceci , Katia Colaneri , Rdiger Frey , Verena Köck

We consider evaluation methods for payoffs with an inherent financial risk as encountered for instance for portfolios held by pension funds and insurance companies. Pricing such payoffs in a way consistent to market prices typically…

Pricing of Securities · Quantitative Finance 2014-04-04 Mitja Stadje , Antoon Pelsser

Risk control and optimal diversification constitute a major focus in the finance and insurance industries as well as, more or less consciously, in our everyday life. We present a discussion of the characterization of risks and of the…

Statistical Mechanics · Physics 2015-06-25 Didier Sornette

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…

Applications · Statistics 2014-02-27 Johannes Vitalis Siven , Jeffrey Todd Lins , Anna Szymkowiak-Have

Optimal execution of a portfolio have been a challenging problem for institutional investors. Traders face the trade-off between average trading price and uncertainty, and traditional methods suffer from the curse of dimensionality. Here,…

Portfolio Management · Quantitative Finance 2023-06-16 Xiaoyue Li , John M. Mulvey

We develop a general theory of risk measures that determines the optimal amount of capital to raise and invest in a portfolio of reference traded securities in order to meet a pre-specified regulatory requirement. The distinguishing feature…

Mathematical Finance · Quantitative Finance 2021-11-17 Maria Arduca , Cosimo Munari

In this paper, we consider the problem of equal risk pricing and hedging in which the fair price of an option is the price that exposes both sides of the contract to the same level of risk. Focusing for the first time on the context where…

Optimization and Control · Mathematics 2020-09-17 Saeed Marzban , Erick Delage , Jonathan Yumeng Li

In general insurance companies, a correct estimation of liabilities plays a key role due to its impact on management and investing decisions. Since the Financial Crisis of 2007-2008 and the strengthening of regulation, the focus is not only…

Risk Management · Quantitative Finance 2022-05-17 Eduardo Ramos-Pérez , Pablo J. Alonso-González , José Javier Núñez-Velázquez

In today's complex and volatile financial market environment, risk management of multi-asset portfolios faces significant challenges. Traditional risk assessment methods, due to their limited ability to capture complex correlations between…

Risk Management · Quantitative Finance 2025-02-14 Fu Lei , Ge Shi

We introduce a new set of consistent measures of risks, in terms of the semi-invariants of pdf's, such that the centered moments and the cumulants of the portfolio distribution of returns that put more emphasis on the tail the…

Statistical Mechanics · Physics 2008-12-10 Y. Malevergne , D. Sornette

This article develops the theory of risk budgeting portfolios, when we would like to impose weight constraints. It appears that the mathematical problem is more complex than the traditional risk budgeting problem. The formulation of the…

Portfolio Management · Quantitative Finance 2019-02-18 Jean-Charles Richard , Thierry Roncalli

We propose a risk measurement approach for a risk-averse stochastic problem. We provide results that guarantee that our problem has a solution. We characterize and explore the properties of the argmin as a risk measure and the minimum as a…

Risk Management · Quantitative Finance 2023-05-09 Marcelo Brutti Righi , Fernanda Maria Müller , Marlon Ruoso Moresco