高频数据瞬时波动率核估计的窗宽选择及算法研究

在瞬时波动率的各种估计量中，非参数估计量因其能准确地度量瞬时波动率，一直是学者们的研究热点。然而，这类估计量在实际应用中都面临着最优窗宽的确定问题。由于最优窗宽中往往携带一些难以估计的未知参数，使得在实际应用过程中确定最优窗宽的具体数值存在困难。本文以瞬时波动率的核估计量为例，借鉴非参数回归分析中窗宽选择的思想，构建了一种能从数据中准确计算出最优窗宽具体值的算法。理论的分析和数值上的验证表明：文中所构建的算法具有良好的稳定性、适应性和收敛速度。算法的提出为瞬时波动率的后续应用研究铺平道路。     

基于Hawkes过程中美股市大幅波动互激效应的研究

近年来，由于中美经济联系日趋紧密，中美股票市场大幅波动的互激效应明显增强。本文考虑中美股市时差和法定节假日差异等因素，运用标值Hawkes过程对2006-2017年CSI300和S&P500大幅波动收益率数据进行建模，结果表明：（1）中美股市大幅波动互激效应存在不对称性，美股市场大幅波动对中国股市的互激效应更强；（2）中美股市大幅波动的幅度对互激效应不存在显著影响；（3）中美股票市场对于大幅波动互激效应的消化速度存在差异，中国股票市场消化美股大幅波动互激效应的速度较快。本研究对金融市场监管者和投资者均有一定意义。     

Multivariate Return Decomposition: Theory and Implications

In this paper, we propose a model based on multivariate decomposition of multiplicative – absolute values and signs – components of asset returns. In the m-variate case, the marginals for the m absolute values and the binary marginals for the m directions are linked through a 2m-dimensional copula. The approach is detailed in the case of a bivariate decomposition. We outline the construction of the likelihood function and the computation of different conditional measures. The finite-sample properties of the maximum likelihood estimator are assessed by simulation. An application to predicting bond returns illustrates the usefulness of the proposed method.     

Towards Uniformly Efficient Trend Estimation Under Weak/Strong Correlation and Non‐stationary Volatility

In this paper, we consider the deterministic trend model where the error process is allowed to be weakly or strongly correlated and subject to non‐stationary volatility. Extant estimators of the trend coefficient are analysed. We find that under heteroskedasticity, the Cochrane–Orcutt‐type estimator (with some initial condition) could be less efficient than Ordinary Least Squares (OLS) when the process is highly persistent, whereas it is asymptotically equivalent to OLS when the process is less persistent. An efficient non‐parametrically weighted Cochrane–Orcutt‐type estimator is then proposed. The efficiency is uniform over weak or strong serial correlation and non‐stationary volatility of unknown form. The feasible estimator relies on non‐parametric estimation of the volatility function, and the asymptotic theory is provided. We use the data‐dependent smoothing bandwidth that can automatically adjust for the strength of non‐stationarity in volatilities. The implementation does not require pretesting persistence of the process or specification of non‐stationary volatility. Finite‐sample evaluation via simulations and an empirical application demonstrates the good performance of proposed estimators.     

混频投资者情绪与股票价格行为

采用混频数据抽样模型(MIDAS)研究了混频投资者情绪对中国股市收益率及其波动的影响.通过构建日度、周度及月度这三种不同频率的投资者情绪,实证结果发现,混频情绪对当期收益率及其波动都存在显著的正向影响,并且与传统回归模型相比,MIDAS模型具有更强的解释能力.本文进一步使用GARCH-MIDAS模型研究了混频情绪对收益率波动长期成分的影响,发现混频情绪能够显著影响收益的长期波动.     

上海铜期货日流动性与日波动性关系的实证研究

本文对上海期货交易所铜期货市场的日流动性和波动性进行了实证研究。在考察交易量与波动的关系时借鉴了混合分布假设理论(MDH),而在考察流动性比率与波动性的关系时则在前人基础上建立了新的模型。通过实证得出交易量与波动率有显著的正相关关系的结论。而在考察流动性比率与波动性关系时,却发现二者并没有显著的关系。     

Estimation of structural mean breaks for long-memory data sets

In long-memory data sets such as the realized volatilities of financial assets, a sequential test is developed for the detection of structural mean breaks. The long memory, if any, is adjusted by fitting an HAR (heterogeneous autoregressive) model to the data sets and taking the residuals. Our test consists of applying the sequential test of Bai and Perron [Estimating and testing linear models with multiple structural changes. Econometrica. 1998;66:47–78] to the residuals. The large-sample validity of the proposed test is investigated in terms of the consistency of the estimated number of breaks and the asymptotic null distribution of the proposed test. A finite-sample Monte-Carlo experiment reveals that the proposed test tends to produce an unbiased break time estimate, while the usual sequential test of Bai and Perron tends to produce biased break times in the case of long memory. The experiment also reveals that the proposed test has a more stable size than the Bai and Perron test. The proposed test is applied to two realized volatility data sets of the S&P index and the Korea won-US dollar exchange rate for the past 7 years and finds 2 or 3 breaks, while the Bai and Perron test finds 8 or more breaks.     

Role of stylized features in constructing better estimators

This article discusses the role played by stylized features of financial time series in constructing better estimators for the model parameters. We study in detail one such estimator for the transition probabilities of a simple regime switching model. The estimator is based on the squared autocovariances of the time series, which has been discussed in several empirical studies of economic and financial time series. The effectiveness of this estimator in improving the estimation accuracy is investigated, using both finite sample and asymptotic computations. We also report simulation results to confirm our findings and to extend our conclusions over a bigger region of the parameter space.     

Follow the leader! The peer effect in aid supply decisions

This study assesses the existence of imitative behaviour among donors in terms of their aid supply. The urgency in addressing this subject is motivated by an increasing degree of aid volatility and unpredictability which may be linked to this imitative behaviour. Our results highlight that while any connection among donor peers is a potential channel for the transmission of aid volatility, the extent of such volatility decreases significantly in the presence of established imitative behaviour. This result suggests that the promotion of donor imitative behaviour would contribute to containing the current and growing trend of volatility in aid supply.