Mathematical Models for Quantitative Finance: Market Microstructure, Networks and Systemic Risk
Programma
Market Microstructure
Electronic markets and limit order book. High frequency data. Statistical and structural models (Roll and its generalizations). Asymmetric information models (Glosten-Milgrom, Kyle). Information share. Inventory management models. Optimal market making strategies. Statistical limit order book models and scenario generation. Trading models: Market impact and order flow. Trading costs. Optimal execution strategies. High Frequency Trading. High Frequency Econometrics: Realized volatility and covariance, Microstructure noise. Point processes in finance (Hawkes processes and ACD models).
Financial networks
Basic elements of graph theory. Random walks on graphs. Centrality measures. Scale free networks and small world graphs. Models of random graphs: Erdos Renyi graphs, Exponential random graphs, Stochastic block model, configuration model. Maximum entropy principle and networks. Networks from time series.
Systemic risk
Mechanisms for systemic risk and models: Bank runs, leverage cycles, Interbank networks, Fire sales spillovers. Econometric approaches to systemic risk: CoVar, MES,SRISK, Granger causality networks. High frequency systemic risk: flash crashes, liquidity crises, systemic cojumps
Obiettivi formativi
The first goal of the course is to introduce the fundamental notions of market microstructure, network modeling, and financial systemic risk. The second goal is to present some recent contributions of the scientific literature and open problems. The third goal is to provide the student with the tool for the empirical and computational analysis of high frequency data and data relevant for systemic risk.
Moduli
| Modulo | Ore | CFU | Docenti |
|---|---|---|---|
| Mathematical Models for Quantitative Finance: Market Microstructure, Networks and Systemic Risk | 40 | 6 | Fabrizio Lillo, Giorgio Rizzini |
| Didattica integrativa | 10 | 0 | Giorgio Rizzini |