{"title":"Asset pricing with time preference shocks: Existence and uniqueness","authors":"John Stachurski , Ole Wilms , Junnan Zhang","doi":"10.1016/j.jet.2023.105781","DOIUrl":null,"url":null,"abstract":"<div><p>This paper studies existence and uniqueness of recursive utility in asset pricing models with time preference shocks. We provide conditions that clarify existence and uniqueness for a wide range of models, including exact necessary and sufficient conditions for standard formulations. The conditions isolate the roles of preference parameters, as well as the different risks that drive the consumption and preference shock processes. By deriving and decomposing a stability coefficient for recursive utility models, we show how different parameters in the model interact to determine existence and uniqueness of solutions.</p></div>","PeriodicalId":48393,"journal":{"name":"Journal of Economic Theory","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Economic Theory","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022053123001771","RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper studies existence and uniqueness of recursive utility in asset pricing models with time preference shocks. We provide conditions that clarify existence and uniqueness for a wide range of models, including exact necessary and sufficient conditions for standard formulations. The conditions isolate the roles of preference parameters, as well as the different risks that drive the consumption and preference shock processes. By deriving and decomposing a stability coefficient for recursive utility models, we show how different parameters in the model interact to determine existence and uniqueness of solutions.
期刊介绍:
The Journal of Economic Theory publishes original research on economic theory and emphasizes the theoretical analysis of economic models, including the study of related mathematical techniques. JET is the leading journal in economic theory. It is also one of nine core journals in all of economics. Among these journals, the Journal of Economic Theory ranks fourth in impact-adjusted citations.