讲座:A Probabilistic Solution to High-Dimensional Continuous-Time Macro and Finance Models 发布时间:2023-04-07
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题 目:A Probabilistic Solution to High-Dimensional Continuous-Time Macro and Finance Models
嘉 宾:黄吉,助理教授,香港中文大学
主持人:戴亮,副教授,上海交通大学
时 间:2023年4月10日(周一)12:40-14:10
地 点:上海交通大学(徐汇校区)安泰经济与管理学院A503
内容简介:
This paper introduces the probabilistic formulation of continuous-time economic models: forward stochastic differential equations (SDE) govern the dynamics of backward-looking variables, and backward SDEs capture that of forward-looking variables. Deep learning streamlines the search for the probabilistic solution, which is less sensitive to the "curse of dimensionality." The paper proposes a straightforward algorithm and assesses its accuracy by considering a multiple-country model with an explicit solution under symmetric states. Combining with the finite volume method, the algorithm can obtain global dynamics of heterogeneous-agent models with aggregate shocks, in which agents consider the distribution of individual states as a state variable.
演讲人简介:
黄吉教授现为香港中文大学经济学系助理教授. 黄教授于2006年获西南财经大学管理学学士, 2009年获南开大学经济学硕士, 2015年获美国普林斯顿大学(Princeton University)经济学博士. 自2015年7月至2018年7月黄教授任职于新加坡国立大学经济学系. 黄教授的研究领域涉及影子银行和宏观金融, 近期研究主要围绕基于深度学习和概率论方法的高维连续时间模型求解, 其关于影子银行的学术论文发表于 Journal of Economic Theory, Review of Finance.
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