A new variant of estimation approach to asymmetric stochastic volatility model

被引:2
作者
Men, Zhongxian [1 ]
Wirjanto, Tony S. [2 ,3 ]
机构
[1] JPMorgan Chase & Co, Quantitat Res, 277 Pk Ave, New York, NY 10017 USA
[2] Univ Waterloo, Dept Stat & Actuarial Sci, 200 Univ Ave West, Waterloo, ON, Canada
[3] Univ Waterloo, Sch Accounting & Finance, 200 Univ Ave West, Waterloo, ON, Canada
来源
QUANTITATIVE FINANCE AND ECONOMICS | 2018年 / 2卷 / 02期
关键词
stochastic volatility; leverage effect; Bayesian inference; acceptance-rejection; Metropolis-Hastings; slice sampler;
D O I
10.3934/QFE.2018.2.325
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
This paper proposes a novel simulation-based inference for an asymmetric stochastic volatility model. An acceptance-rejection Metropolis-Hastings algorithm is developed for the simulation of latent states of the model. A simple and efficient algorithm is also developed for estimation of a heavy-tailed stochastic volatility model. Simulation studies show that our proposed methods give rise to reasonable parameter estimates. Our proposed estimation methods are then used to analyze a benchmark data set of asset returns.
引用
收藏
页码:325 / 347
页数:23
相关论文
共 32 条
[1]  
BAUWENS L, 1998, ECONOMET J, V1, P23
[2]   GENERALIZED AUTOREGRESSIVE CONDITIONAL HETEROSKEDASTICITY [J].
BOLLERSLEV, T .
JOURNAL OF ECONOMETRICS, 1986, 31 (03) :307-327
[3]   Estimation methods for stochastic volatility models: A survey [J].
Broto, C ;
Ruiz, E .
JOURNAL OF ECONOMIC SURVEYS, 2004, 18 (05) :613-649
[4]  
Carnero A., 2003, J FINANC ECON, V2, P319
[5]   UNDERSTANDING THE METROPOLIS-HASTINGS ALGORITHM [J].
CHIB, S ;
GREENBERG, E .
AMERICAN STATISTICIAN, 1995, 49 (04) :327-335
[6]   Analysis of high dimensional multivariate stochastic volatility models [J].
Chib, Siddhartha ;
Nardari, Federico ;
Shephard, Neil .
JOURNAL OF ECONOMETRICS, 2006, 134 (02) :341-371
[7]   Evaluating density forecasts with applications to financial risk management [J].
Diebold, FX ;
Gunther, TA ;
Tay, AS .
INTERNATIONAL ECONOMIC REVIEW, 1998, 39 (04) :863-883
[8]   Bayesian Orthogonal Component Analysis for Sparse Representation [J].
Dobigeon, Nicolas ;
Tourneret, Jean-Yves .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2010, 58 (05) :2675-2685
[9]   AUTOREGRESSIVE CONDITIONAL HETEROSCEDASTICITY WITH ESTIMATES OF THE VARIANCE OF UNITED-KINGDOM INFLATION [J].
ENGLE, RF .
ECONOMETRICA, 1982, 50 (04) :987-1007
[10]   The impact of jumps in volatility and returns [J].
Eraker, B ;
Johannes, M ;
Polson, N .
JOURNAL OF FINANCE, 2003, 58 (03) :1269-1300