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It is important for a portfolio manager to estimate and analyze recent portfolio volatility to keep the portfolio's risk within limit. Though the number of financial instruments in the portfolio can be very large, sometimes more than…

Statistical Finance · Quantitative Finance 2018-09-18 Sourish Das , Aritra Halder , Dipak K. Dey

When investors have heterogeneous attitudes towards risk, it is reasonable to assume that each investor has a pricing kernel, and that these individual pricing kernels are aggregated to form a market pricing kernel. The various investors…

Risk Management · Quantitative Finance 2013-09-02 Dorje C. Brody , Lane P. Hughston

In this paper we use a hybrid Monte Carlo-Optimal quantization method to approximate the conditional survival probabilities of a firm, given a structural model for its credit defaul, under partial information. We consider the case when the…

Computational Finance · Quantitative Finance 2009-07-07 Giorgia Callegaro , Abass Sagna

This paper resolves a question proposed in Kardaras and Robertson [Ann. Appl. Probab. 22 (2012) 1576-1610]: how to invest in a robust growth-optimal way in a market where precise knowledge of the covariance structure of the underlying…

Portfolio Management · Quantitative Finance 2013-09-09 Erhan Bayraktar , Yu-Jui Huang

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

Disordered Systems and Neural Networks · Physics 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud , Marc Mézard

This research introduces a novel pairs trading strategy based on copulas for cointegrated pairs of cryptocurrencies. To identify the most suitable pairs, the study employs linear and non-linear cointegration tests along with a correlation…

Trading and Market Microstructure · Quantitative Finance 2023-06-13 Masood Tadi , Jiří Witzany

We develop a novel multivariate semi-parametric framework for joint portfolio Value-at-Risk (VaR) and Expected Shortfall (ES) forecasting. Unlike existing univariate semi-parametric approaches, the proposed framework explicitly models the…

Risk Management · Quantitative Finance 2024-12-23 Giuseppe Storti , Chao Wang

This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which…

Optimization and Control · Mathematics 2011-02-25 Traian A Pirvu , Huayue Zhang

We study a continuous-time asset-allocation problem for an insurance firm that backs up liabilities from multiple non-life business lines with underwriting profits and investment income. The insurance risks are captured via a…

Portfolio Management · Quantitative Finance 2021-08-13 Rafael Serrano , Camilo Castillo

Covariate-adaptive randomization (CAR) procedures are frequently used in comparative studies to increase the covariate balance across treatment groups. However, because randomization inevitably uses the covariate information when forming…

Statistics Theory · Mathematics 2022-07-08 Wei Ma , Yichen Qin , Yang Li , Feifang Hu

We show how Adjoint Algorithmic Differentiation (AAD) allows an extremely efficient calculation of correlation Risk of option prices computed with Monte Carlo simulations. A key point in the construction is the use of binning to…

Computational Finance · Quantitative Finance 2010-04-13 Luca Capriotti , Mike Giles

In this paper, we study the exponential utility indifference pricing of pure endowment policies within a stochastic-factor model for an insurer who also invests in a financial market. Our framework incorporates a hazard rate modeled as an…

Portfolio Management · Quantitative Finance 2025-07-30 Alessandra Cretarola , Benedetta Salterini

Rough volatility models are known to reproduce the behavior of historical volatility data while at the same time fitting the volatility surface remarkably well, with very few parameters. However, managing the risks of derivatives under…

Mathematical Finance · Quantitative Finance 2017-03-16 Omar El Euch , Mathieu Rosenbaum

We investigate the portfolio selection problem against the systemic risk which is measured by CoVaR. We first demonstrate that the systemic risk of pure stock portfolios is essentially uncontrollable due to the contagion effect and the…

Portfolio Management · Quantitative Finance 2022-09-13 Xiaochuan Pang , Shushang Zhu , Xueting Cui , Jiali Ma

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 this paper, we explore the pricing and hedging strategies for an innovative insurance product called the equity protection swap(EPS). Notably, we focus on the application of EPSs involving cross-currency reference portfolios, reflecting…

Mathematical Finance · Quantitative Finance 2026-04-10 Marek Rutkowski , Huansang Xu

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Irene Giardina , Marc Mezard

This article considers the pricing and hedging of a call option when liquidity matters, that is, either for a large nominal or for an illiquid underlying asset. In practice, as opposed to the classical assumptions of a price-taking agent in…

Trading and Market Microstructure · Quantitative Finance 2015-04-06 Olivier Guéant , Jiang Pu

In the framework of homogeneous susceptible-infected-recovered (SIR) models, we use a control theory approach to identify optimal pandemic mitigation strategies. We derive rather general conditions for reaching herd immunity while…

Populations and Evolution · Quantitative Biology 2021-07-05 Prakhar Godara , Stephan Herminghaus , Knut M. Heidemann

We consider a financial market in which two securities are traded: a stock and an index. Their prices are assumed to satisfy the Black-Scholes model. Besides assuming that the index is a tradable security, we also assume that it is…

Portfolio Management · Quantitative Finance 2011-09-26 Vladimir Vovk