时间:2016年1月6日下午2:00-3:00
地点:统计楼103
报告人:薄立军教授,中国科技大学 (2012年入选教育部新世纪优秀人才支持计划)
题目: Systemic Risk in Mean-Field Interacting Jump-Diffusion Networks: A Weak Convergence Approach
摘要: We develop a mean field model of interbanking borrowing and lending activities. Each bank borrows from or lends to other counterparties at an idiosyncratic rate and is exposed to sudden shocks affecting the level of its monetary reserves. Using weak convergence analysis, we provide an explicit characterization of the measure-valued process associated with a large interbanking system. We use the limit process to construct law of large number (LLN) approximations for systemic indicators assessing average distance to default and measuring the total volume of interbanking activities. We illustrate the predictive power and accuracy of our framework via a detailed numerical analysis,showing that indicators are sensitive to lending preferences, volatility, and occurrences of negative events.