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High-Frequency Instruments and Identification-Robust Inference for Stochastic Volatility Models
IF 1.2 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-01-12 DOI: 10.1111/jtsa.12812
Md. Nazmul Ahsan, Jean-Marie Dufour

We introduce a novel class of stochastic volatility models, which can utilize and relate many high-frequency realized volatility (RV) measures to latent volatility. Instrumental variable methods provide a unified framework for estimation and testing. We study parameter inference problems in the proposed framework with nonstationary stochastic volatility and exogenous predictors in the latent volatility process. Identification-robust methods are developed for a joint hypothesis involving the volatility persistence parameter and the autocorrelation parameter of the composite error (or the noise ratio). For inference about the volatility persistence parameter, projection techniques are applied. The proposed tests include Anderson-Rubin-type tests and their point-optimal versions. For distributional theory, we provide finite-sample tests and confidence sets for Gaussian errors, establish exact Monte Carlo test procedures for non-Gaussian errors (possibly heavy-tailed), and show asymptotic validity under weaker assumptions. Simulation results show that the proposed tests outperform the asymptotic test regarding size and exhibit excellent power in empirically realistic settings. The proposed inference methods are applied to IBM's price and option data (2009–2013). We consider 175 different instruments (IVs) spanning 22 classes and analyze their ability to describe the low-frequency volatility. IVs are compared based on the average length of the proposed identification-robust confidence intervals. The superior instrument set mostly comprises 5-min HF realized measures, and these IVs produce confidence sets which show that the volatility process is nearly unit-root. In addition, we find RVs with higher frequency yield wider confidence intervals than RVs with slightly lower frequency, indicating that these confidence intervals adjust to absorb market microstructure noise. Furthermore, when we consider irrelevant or weak IVs (jumps and signed jumps), the proposed tests produce unbounded confidence intervals. We also find that both RV and BV measures produce almost identical confidence intervals across all 14 subclasses, confirming that our methodology is robust in the presence of jumps. Finally, although jumps contain little information regarding the low-frequency volatility, we find evidence that there may be a nonlinear relationship between jumps and low-frequency volatility.

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引用次数: 0
Editorial Announcement: Journal of Time Series Analysis Distinguished Authors 2024
IF 1.2 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-01-12 DOI: 10.1111/jtsa.12816
Robert Taylor

In recognition of authors who have made significant contributions to this Journal, the Journal of Time Series Analysis runs a scheme to honour those authors by naming them as a Journal of Time Series Analysis Distinguished Author. The qualifying criterion for this award is 3.5 points where authors are awarded 1 point for each single-authored article, 1/2 point for each double-authored article, 1/3 point for each triple-authored article, and so on, that they have published in the Journal of Time Series Analysis since its inception. Distinguished Authors are entitled to a one-year free online subscription to the Journal to mark the award. They also receive a certificate commemorating the award.

In addition to the lists of Distinguished Authors announced previously in Volume 41 issue 4 (July 2020), Volume 42 Issue 1 (January 2021), Volume 43 Issue 1 (January 2022), Volume 44 Issue 1 (January 2023), and Volume 45 Issue 1 (January 2024), the Journal of Time Series Analysis is very pleased to welcome Konstantinos Fokianos to the list of Journal of Time Series Analysis Distinguished Authors for 2024, based on his publications in the Journal appearing up to and including Volume 45 Issue 6 (November 2024).

The author declares no conflicts of interest.

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引用次数: 0
Time Series for QFFE: Special Issue of the Journal of Time Series Analysis
IF 1.2 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-01-12 DOI: 10.1111/jtsa.12814
Christian Francq, Christophe Hurlin, Sébastien Laurent, Jean-Michel Zakoian

QFFE stands for Quantitative Finance and Financial Econometrics conference, an event organized by Sébastien Laurent in Marseille every year since 2018. Each year there are two keynote speakers and two guest speakers, and around 60 selected papers are presented. The program for next year and previous years can be found here. The conference is preceded by a spring school, which offers doctoral students, post-doc, and young academics the opportunity to attend doctoral-level courses.

The QFFE conference is part of the ANR-funded project MLEforRisk (ANR-21-CE26-0007), which stands for Machine Learning and Econometrics for Risk Measurement in Finance. The project seeks to enhance our understanding of the advantages and limitations of integrating econometric methods with machine learning for measuring financial risks. This multidisciplinary initiative bridges the fields of finance and financial econometrics, bringing together a team of junior and senior researchers with expertise in management, economics, applied mathematics, and data science. The project aims to advance both theoretical insights and practical applications, fostering innovation at the intersection of these disciplines.

Since financial data such as stock prices, interest rates, and exchange rates are observed over time, time series analysis is crucial in finance. Finance professionals and academics often rely on fundamental time series models, such as ARMA, as well as essential time series techniques such as spectral analysis. Financial researchers are therefore naturally attracted to any new developments in time series. Econometricians have also developed new time series models and methods to capture the specificities of financial data. Contributions of econometricians include cointegration and error correction models, GARCH and stochastic volatility models, score-driven models, VAR models, Markov switching models, non-causal models, simulation-based inference, state space models, and Kalman filters, realized volatility measures, the Black–Scholes model, and factor models. The field of application of all these time series models and techniques is obviously not limited to finance. The aim of this special issue is to present some recent examples of the interface between time series analysis and finance.

We are very grateful to these authors. We would also like to thank the anonymous reviewers for their valuable review and feedback, which helped to improve the quality of this special issue. Special thanks go to Robert Taylor, Editor-in-Chief of the Journal of Time Series Analysis, for supporting this project, as well as to Priscilla Goldby for her invaluable help.

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引用次数: 0
The Liquidity Uncertainty Premium Puzzle
IF 1.2 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-01 DOI: 10.1111/jtsa.12802
Maria Flora, Ilaria Gianstefani, Roberto Renò

The puzzling negative relation between liquidity uncertainty and asset returns, originally put forward by Chordia, Subrahmanyam, and Anshuman (2001) and confirmed by the subsequent empirical literature up to date, is neither robust to the aggregation period, nor to the observation frequency used to compute the volatility of trading volume. We demonstrate that their procedure involves an estimation bias due to the persistence and skewness of volumes. When using an alternative approach based on high-frequency data to measure liquidity uncertainty, the relationship turns out to be positive. However, portfolio strategies based on liquidity uncertainty do not appear to be profitable.

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引用次数: 0
Risk parity portfolio optimization under heavy-tailed returns and dynamic correlations
IF 1.2 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-10-31 DOI: 10.1111/jtsa.12792
Marc S. Paolella, Paweł Polak, Patrick S. Walker

Risk parity portfolio optimization, using expected shortfall as the risk measure, is investigated when asset returns are fat-tailed and heteroscedastic with regime switching dynamic correlations. The conditional return distribution is modeled by an elliptical multi-variate generalized hyperbolic distribution, allowing for fast parameter estimation via an expectation-maximization algorithm, and a semi-closed form of the risk contributions. A new method for efficient computation of non-Gaussian risk parity weights sidesteps the need for numerical simulations or Cornish–Fisher-type approximations. Accounting for fat-tailed returns, the risk parity allocation is less sensitive to volatility shocks, thereby generating lower portfolio turnover, in particular during market turmoils such as the global financial crisis or the COVID shock. While risk parity portfolios are rather robust to the misuse of the Gaussian distribution, a sophisticated time series model can improve risk-adjusted returns, strongly reduces drawdowns during periods of market stress and enables to use a holistic risk model for portfolio and risk management.

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引用次数: 0
Generalized covariance-based inference for models set-identified from independence restrictions
IF 1.2 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-24 DOI: 10.1111/jtsa.12779
Christian Gourieroux, Joann Jasiak

This article develops statistical inference methods for a class of set-identified models, where the errors are known functions of observations and the parameters satisfy either serial or/and cross-sectional independence conditions. This class of models includes the independent component analysis (ICA), Structural Vector Autoregressive (SVAR), and multi-variate mixed causal–non-causal models. We use the Generalized Covariance (GCov) estimator to compute the residual-based portmanteau statistic for testing the error independence hypothesis. Next, we build the confidence sets for the identified sets of parameters by inverting the test statistic. We also discuss the choice (design) of these statistics. The approach is illustrated by simulations examining the under-identification condition in an ICA model and an application to financial return series.

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引用次数: 0
Non-causal and non-invertible ARMA models: Identification, estimation and application in equity portfolios 非因果和非可逆 ARMA 模型:股票投资组合中的识别、估计和应用
IF 1.2 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-18 DOI: 10.1111/jtsa.12776
Alain Hecq, Daniel Velasquez-Gaviria

The mixed causal-non-causal invertible-non-invertible autoregressive moving-average (MARMA) models have the advantage of incorporating roots inside the unit circle, thus adjusting the dynamics of financial returns that depend on future expectations. This article introduces new techniques for estimating, identifying and simulating MARMA models. Although the estimation of the parameters is done using second-order moments, the identification relies on the existence of high-order dynamics, captured in the high-order spectral densities and the correlation of the squared residuals. A comprehensive Monte Carlo study demonstrated the robust performance of our estimation and identification methods. We propose an empirical application to 24 portfolios from emerging markets based on the factors: size, book-to-market, profitability, investment and momentum. All portfolios exhibited forward-looking behavior, showing significant non-causal and non-invertible dynamics. Moreover, we found the residuals to be uncorrelated and independent, with no trace of conditional volatility.

混合因果-非因果可逆-非可逆自回归移动平均(MARMA)模型的优点是可以将根纳入单位圆内,从而调整依赖于未来预期的金融收益动态。本文介绍了估计、识别和模拟 MARMA 模型的新技术。虽然参数估计是使用二阶矩来完成的,但识别依赖于高阶动态的存在,高阶谱密度和残差平方的相关性捕捉到了这一点。一项全面的蒙特卡罗研究证明了我们的估计和识别方法的稳健性能。我们根据规模、市价账面值、盈利能力、投资和动量等因素,对新兴市场的 24 个投资组合进行了实证应用。所有投资组合都表现出前瞻性行为,显示出显著的非因果和非可逆动态。此外,我们发现残差是不相关和独立的,没有条件波动的痕迹。
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引用次数: 0
Mixing properties of non‐stationary multi‐variate count processes 非稳态多变量计数过程的混合特性
IF 0.9 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-17 DOI: 10.1111/jtsa.12775
Zinsou Max Debaly, Michael H. Neumann, Lionel Truquet
We consider multi‐variate versions of two popular classes of integer‐valued processes. While the transition mechanism is time‐homogeneous, a possible non‐stationarity is introduced by an exogeneous covariate process. We prove absolute regularity (‐mixing) for the count process with exponentially decaying mixing coefficients. The proof of this result makes use of some sort of contraction in the transition mechanism which allows a coupling of two versions of the count process such that they eventually coalesce. We show how this result can be used to prove asymptotic normality of a least squares estimator of an involved model parameter.
我们考虑了两类流行的整数值过程的多变量版本。虽然过渡机制是时间均质的,但外均质协变过程引入了可能的非平稳性。我们证明了具有指数衰减混合系数的计数过程的绝对正则性(-混合)。这一结果的证明利用了过渡机制中的某种收缩,它允许两个版本的计数过程耦合,从而使它们最终聚合在一起。我们展示了如何利用这一结果来证明相关模型参数的最小二乘估计值的渐近正态性。
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引用次数: 0
Mean‐preserving rounding integer‐valued ARMA models 保均舍入整数值 ARMA 模型
IF 0.9 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-11 DOI: 10.1111/jtsa.12774
Christian H. Weiß, Fukang Zhu
In the past four decades, research on count time series has made significant progress, but research on ‐valued time series is relatively rare. Existing ‐valued models are mainly of autoregressive structure, where the use of the rounding operator is very natural. Because of the discontinuity of the rounding operator, the formulation of the corresponding model identifiability conditions and the computation of parameter estimators need special attention. It is also difficult to derive closed‐form formulae for crucial stochastic properties. We rediscover a stochastic rounding operator, referred to as mean‐preserving rounding, which overcomes the above drawbacks. Then, a novel class of ‐valued ARMA models based on the new operator is proposed, and the existence of stationary solutions of the models is established. Stochastic properties including closed‐form formulae for (conditional) moments, autocorrelation function, and conditional distributions are obtained. The advantages of our novel model class compared to existing ones are demonstrated. In particular, our model construction avoids identifiability issues such that maximum likelihood estimation is possible. A simulation study is provided, and the appealing performance of the new models is shown by several real‐world data sets.
在过去的四十年里,计数时间序列的研究取得了长足的进步,但对-值时间序列的研究却相对较少。现有的-值模型主要是自回归结构,其中舍入算子的使用非常自然。由于舍入算子的不连续性,相应的模型可识别性条件的制定和参数估计值的计算需要特别注意。此外,也很难推导出关键随机属性的闭式公式。我们重新发现了一种随机舍入算子,称为均值保留舍入,它克服了上述缺点。然后,基于新算子提出了一类新的有值 ARMA 模型,并确定了模型静态解的存在性。研究还获得了随机属性,包括(条件)矩、自相关函数和条件分布的闭式公式。与现有模型相比,我们的新型模型类的优势得到了证明。特别是,我们的模型构建避免了可识别性问题,因此可以进行最大似然估计。我们还提供了一项模拟研究,并通过几个真实世界的数据集展示了新模型的优越性能。
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引用次数: 0
Forecasting the yield curve: the role of additional and time-varying decay parameters, conditional heteroscedasticity, and macro-economic factors 预测收益率曲线:附加和时变衰减参数、条件异方差和宏观经济因素的作用
IF 1.2 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-09 DOI: 10.1111/jtsa.12769
João F. Caldeira, Werley C. Cordeiro, Esther Ruiz, André A.P. Santos

In this article, we analyse the forecasting performance of several parametric extensions of the popular Dynamic Nelson–Siegel (DNS) model for the yield curve. Our focus is on the role of additional and time-varying decay parameters, conditional heteroscedasticity, and macroeconomic variables. We also consider the role of several popular restrictions on the dynamics of the factors. Using a novel dataset of end-of-month continuously compounded Treasury yields on US zero-coupon bonds and frequentist estimation based on the extended Kalman filter, we show that a second decay parameter does not contribute to better forecasts. In concordance with the preferred habitat theory, we also show that the best forecasting model depends on the maturity. For short maturities, the best performance is obtained in a heteroscedastic model with a time-varying decay parameter. However, for long maturities, neither the time-varying decay nor the heteroscedasticity plays any role, and the best forecasts are obtained in the basic DNS model with the shape of the yield curve depending on macroeconomic activity. Finally, we find that assuming non-stationary factors is helpful in forecasting at long horizons.

在本文中,我们分析了针对收益率曲线的流行动态尼尔森-西格尔(Dynamic Nelson-Siegel,DNS)模型的几种参数扩展的预测性能。我们的重点是附加和时变衰减参数、条件异方差和宏观经济变量的作用。我们还考虑了几种流行的因素动态限制的作用。利用美国零息债券月末连续复利国债收益率的新数据集和基于扩展卡尔曼滤波器的频繁估计,我们表明第二个衰减参数无助于获得更好的预测。与首选栖息地理论一致,我们还表明最佳预测模型取决于期限。就短期而言,具有时变衰减参数的异方差模型的性能最佳。然而,对于长期限而言,时变衰减和异方差都不起任何作用,最佳预测是在收益率曲线形状取决于宏观经济活动的 DNS 基本模型中获得的。最后,我们发现假设非稳态因素有助于进行长期预测。
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引用次数: 0
期刊
Journal of Time Series Analysis
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