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Arbitrage Pricing with Heterogeneous Spatial Effects and Heteroscedastic Disturbances*

Jianhua Hu, Hao Ding and Xiaoqian Liu

Journal of Financial Econometrics, 2023, vol. 21, issue 4, 1169-1195

Abstract: We develop a heterogeneous spatial arbit and regression coefficients, and heteroscedastic variances, and further establish identification of parameters and asymptotic normality of the conditional QML estimators under some mild conditions. We apply the proposed model to study a real data set of 11 eurozone stock index returns and extend the Fama–French five-factor model to regional stock indices, in which heterogeneous spatial effects and heteroscedastic disturbances are highly significant and they both play very important roles in explaining distinct endogenous effects and distinct risks of the 11 eurozone stock markets. Our empirical results reveal unique characteristics of each of 11 eurozone stock markets and their inner connections.

Keywords: conditional quasi-maximum-likelihood estimator; Fama–French models; heterogeneous spatial arbitrage pricing model; heterogeneous spatial interaction (search for similar items in EconPapers)
JEL-codes: C31 C33 C58 (search for similar items in EconPapers)
Date: 2023
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