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Teaching

I have taught the following classes over the years
IEOR E4731: Credit Risk Modeling and Credit Derivatives 
Credit risk is a topic of fundamental importance in modern banking systems. Quantitative credit risk methodologies play a fundamental role in the risk-management divisions of major investment banks. The recent crisis has led to numerous regulatory reforms requiring banks to comply with capital requirements. This can only be achieved via the implementation of a sophisticated and mathematically sound credit risk framework. This course deals with quantitative modeling and measuring of credit risk. You will learn how to price financial instruments, whose payoff is contingent to the realization of a credit event. Those instruments include corporate bonds, and credit default swaps. You will also learn how to measure credit losses, and calibrate financial models to using market data. Topics of high recent interest in the financial industry and the regulatory space, including counterparty risk, systemic risk, derivative clearinghouses, and valuation adjustments will be discussed.

IEOR E4709: Statistical Analysis and Time Series
Statistics and Time series Analysis plays a fundamental role in the construction, testing, and validation of models used in the financial industry, and otherwise. The class covers Simple and Multiple Linear Regression, Hypothesis Testing, Maximum Likelihood Estimation, Bayesian Statistics, Time series analysis, ARCH and GARCH models
IEOR 8100: Networks: Games, Contagion, and Control
Networks are ubiquitous in our modern society. Economic and social networks have been used extensively to model a variety of situations, in which individual decision-makers are affected by the choices of their peers in the network. For instance, the choices of individuals regarding which products to buy or whom to vote for are usually influenced by their friends and colleagues. The decision of an individual or a firm on whether or not to adopt a new technology (new software, messaging service, etc.) depends on who among their social or professional network are adopting that technology as well. Banks in financial networks may coordinate private or subsidized bailouts and rescue insolvent banks so as to stop financial contagion. The decision of an individual to become a criminal depends heavily on the behavior of others in his/her social network: more connections to criminals yield a higher profitability in the crime business and thus a higher chance of engaging in criminal activities. This course will introduce the main mathematical models for the study of these networks. It will discuss game theoretical and dynamic optimization techniques, which can be used to analyze a wide variety of these networks, including their resilience to shocks, the amplification effects resulting from their topological structure, and how the strategic behavior of network agents shapes the performance of the network.

Contact
Email: ac3827@columbia.edu