随机波动率模型的贝叶斯分析

Bayesian Analysis of Stochastic Volatility Models

Journal of Business & Economic Statistics · 1994
被引 624 · 同刊同年前 3%
人大 AABS 4

中文导读

开发了随机波动率模型的新分析方法,使用循环Metropolis算法进行马尔可夫链模拟,实现精确有限样本推断,并通过股票收益和汇率数据验证了贝叶斯估计优于矩估计和拟极大似然估计。

Abstract

New techniques for the analysis of stochastic volatility models in which the logarithm of conditional variance follows an autoregressive model are developed. A cyclic Metropolis algorithm is used to construct a Markov-chain simulation tool. Simulations from this Markov chain converge in distribution to draws from the posterior distribution enabling exact finite-sample inference. The exact solution to the filtering/smoothing problem of inferring about the unobserved variance states is a by-product of our Markov-chain method. In addition, multistep-ahead predictive densities can be constructed that reflect both inherent model variability and parameter uncertainty. We illustrate our method by analyzing both daily and weekly data on stock returns and exchange rates. Sampling experiments are conducted to compare the performance of Bayes estimators to method of moments and quasi-maximum likelihood estimators proposed in the literature. In both parameter estimation and filtering, the Bayes estimators outperform these other approaches.

贝叶斯分析随机波动模型马尔可夫链蒙特卡罗波动率估计