This course is designed to provide you with a foundational understanding of applying a probabilistic approach to financial problems. It will specifically focus on utilizing the theory of stochastic processes. By studying this course, you will gain essential knowledge and skills to analyze and solve financial problems using probabilistic models. This will enable you to make informed decisions and predictions in the context of finance.

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This course covers both theoretical and practical aspects of modern econometric models that are used by financial institutions, investment banks, central banks,
governments, think tanks, and other research institutes. The emphasis is on asset pricing and volatility modeling. The course will be accompanied by a
empirical examples in Matlab. At the end of the course student is familiarized with the modern econometric techniques use in the analysis of financial data.

The course aims at providing the rigorous mathematical framework needed to understand and use quantitative economic analysis models and computational methods. Specifically, after reviewing the necessary topics of linear algebra and multivariable calculus, the course deals with optimization, measure theory, dynamical systems, and linear partial differential equations.

This course studies the interactions between finance and macroeconomics. The first part of the course describes a workhose macromodel that integrates long-run gorwth and business cycle fluctuations and has clear-cut implications for asset prices. The second part discusses  the model predictions for asset prices and returns, It will cover consumption-based asset pricing theory and the associated empirical puzzles, as well as alternative theories offering a resolution to these puzzles. The third part of the course introduces additiona "financial frictions" that allow to focus on financial crises, debt deleveraging and the "uncoventional" monetary policies implemented in the aftermath of the Global Financial Crisis. The course will use a mix of empirics and theory..

This is a first course on Probability and Stochastic Processes, having economic and financial applications in view. Accordingly, after introducing some basic notions of probability theory (including conditional expectation), lectures will focus on those processes which are popular in finance, including martingales and Brownian motion.