Financial Math—— Winsorized Information and Nonlinear Pricing

Abstract: We develop a general equilibrium model in which sophisticated investors observe a normal signal about an asset's payoff, while naive investors observe a winsorized signal that truncates extreme values. Naive investors' demand exhibits jumps and nonlinearities in price at the winsorization points. In equilibrium, the price function is linear for moderate signals but becomes concave for extreme bad news and convex for extreme good news, deviating from the rational benchmark. Risk shifts from naive to sophisticated investors in tail regions. The distortions are increasing in the fraction of naive investors and vary non-monotonically with the winsorization window width. Our theory links bounded rationality in information processing to nonlinearities in prices and allocations during tail events.

Bio: 
张顺明,中国人民大学财政金融学院教授(吴玉章讲席教授),博士生导师。华中师范大学学士,中国科学院系统科学研究所硕士和博士。曾执教清华大学经济管理学院,(加拿大)西安大略大学经济学系,(新西兰)惠灵顿维多利亚大学经济金融学院,厦门大学经济学2008年度国家杰出青年科学基金获得者,2015年度教育部长江学者奖励计划特聘教授。现任《系统工程理论与实践》等期刊编委等。主持过国家自然科学基金青年项目、国家社会科学基金重点项目、国家杰出青年科学基金、国家自然科学基金面上项目4项、国家自然科学基金重点项目(数字经济变革下金融风险管理理论研究,2023-2027)等。现参与科技部重点研发计划金融数据合成与智能模型风险监测关键技术及应用” (专项:社会治理与智慧社会科技支撑)主持课题1 金融数据合成及数据风险评估技术研究 (2023-2026)年来一直专注不确定性的最新进展,研究暧昧性与资产定价,在国内和国际主流经济学与金融学期刊发表一百多篇论文