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This paper examines the possibility of using derivative-implied risk premia to explain stock returns. The rapid development of derivative markets has led to the possibility of trading various kinds of risks, such as credit and interest rate…

Pricing of Securities · Quantitative Finance 2010-06-01 Florian Steiger

This paper introduces a methodology for constructing a market index composed of a liquid risky asset and a liquid risk-free asset that achieves a fixed target volatility. Existing volatility-targeting strategies typically scale portfolio…

Long memory and volatility clustering are two stylized facts frequently related to financial markets. Traditionally, these phenomena have been studied based on conditionally heteroscedastic models like ARCH, GARCH, IGARCH and FIGARCH, inter…

Statistical Finance · Quantitative Finance 2009-11-13 Sonia R. Bentes , Rui Menezes , Diana A. Mendes

Understanding stock market instability is a key question in financial management as practitioners seek to forecast breakdowns in asset co-movements which expose portfolios to rapid and devastating collapses in value. The structure of these…

Computational Engineering, Finance, and Science · Computer Science 2022-12-12 Dragos Gorduza , Xiaowen Dong , Stefan Zohren

This paper considers mean-variance optimization under uncertainty, specifically when one desires a sparsified set of optimal portfolio weights. From the standpoint of a Bayesian investor, our approach produces a small portfolio from many…

Statistical Finance · Quantitative Finance 2016-10-05 David Puelz , P. Richard Hahn , Carlos M. Carvalho

This paper investigates the structural dynamics of stock market volatility through the Financial Chaos Index, a tensor- and eigenvalue-based measure designed to capture realized volatility via mutual fluctuations among asset prices.…

Statistical Finance · Quantitative Finance 2025-04-29 Masoud Ataei

We develop a theoretical trading conditioning model subject to price volatility and return information in terms of market psychological behavior, based on analytical transaction volume-price probability wave distributions in which we use…

Trading and Market Microstructure · Quantitative Finance 2010-02-09 Leilei Shi , Yiwen Wang , Ding Chen , Liyan Han , Yan Piao , Chengling Gou

The Sharpe ratio is a way to compare the excess returns (over the risk free asset) of portfolios for each unit of volatility that is generated by a portfolio. In this paper we introduce a robust Sharpe ratio portfolio under the assumption…

Portfolio Management · Quantitative Finance 2020-05-28 Juan F. Monge , Mercedes Landete , José L. Ruiz

This paper explores option portfolio optimization when the underlying returns are skew-elliptical t-distributed. We use the variance and value at risk (VaR) to measure portfolio risk. The novelty of our work is the departure from the…

Portfolio Management · Quantitative Finance 2026-05-01 Kyle Sung , Traian A. Pirvu

In an incomplete continuous-time securities market with uncertainty generated by Brownian motions, we derive closed-form solutions for the equilibrium interest rate and market price of risk processes. The economy has a finite number of…

General Finance · Quantitative Finance 2012-01-06 Peter Ove Christensen , Kasper Larsen

The symbolic dynamics technique is well-known for low-dimensional dynamical systems and chaotic maps, and lies at the roots of the thermodynamic formalism of dynamical systems. Here we show that this technique can also be successfully…

Chaotic Dynamics · Physics 2017-08-02 Dan Xu , Christian Beck

We study the continuous-time pre-commitment mean-variance portfolio selection in a time-varying financial market. By introducing two indexes which respectively express the average profitability of the risky asset (AP) and the current…

Mathematical Finance · Quantitative Finance 2024-08-16 Yu Li , Yuhan Wu , Shuhua Zhang

This letter uses the Block Maxima Extreme Value approach to quantify catastrophic risk in international equity markets. Risk measures are generated from a set threshold of the distribution of returns that avoids the pitfall of using…

Risk Management · Quantitative Finance 2011-03-30 john cotter

In this paper we propose a novel application of Gaussian processes (GPs) to financial asset allocation. Our approach is deeply rooted in Stochastic Portfolio Theory (SPT), a stochastic analysis framework introduced by Robert Fernholz that…

Portfolio Management · Quantitative Finance 2016-07-06 Yves-Laurent Kom Samo , Alexander Vervuurt

Financial markets can be seen as complex systems that are constantly evolving and sensitive to external disturbance, such as systemic risks and economic instabilities. Analysis of resilient market performance, therefore, becomes useful for…

General Finance · Quantitative Finance 2019-09-04 Junqing Tang , Hans R. Heinimann

We propose a novel risk matrix to characterize the optimal portfolio choice of an investor with tail concerns. The diagonal of the matrix contains the Value-at-Risk of each asset in the portfolio and the off-diagonal the pairwise…

Portfolio Management · Quantitative Finance 2021-12-23 Christis Katsouris

The Kullback-Leibler cluster entropy $\mathcal{D_{C}}[P \| Q] $ is evaluated for the empirical and model probability distributions $P$ and $Q$ of the clusters formed in the realized volatility time series of five assets (SP\&500, NASDAQ,…

Statistical Finance · Quantitative Finance 2025-05-14 L. Ponta , A. Carbone

Classic stochastic volatility models assume volatility is unobservable. We use the Volatility Index: S&P 500 VIX to observe it, to easier fit the model. We apply it to corporate bonds. We fit autoregression for corporate rates and for risk…

Statistical Finance · Quantitative Finance 2025-01-06 Jihyun Park , Andrey Sarantsev

The idiosyncratic (microscopic) and systemic (macroscopic) components of market structure have been shown to be responsible for the departure of the optimal mean-variance allocation from the heuristic `equally-weighted' portfolio. In this…

Portfolio Management · Quantitative Finance 2024-12-24 Sebastiano Michele Zema , Giorgio Fagiolo , Tiziano Squartini , Diego Garlaschelli

The Stochastic Volatility (SV) model and its variants are widely used in the financial sector while recurrent neural network (RNN) models are successfully used in many large-scale industrial applications of Deep Learning. Our article…

Econometrics · Economics 2022-01-25 Trong-Nghia Nguyen , Minh-Ngoc Tran , David Gunawan , R. Kohn
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