This course aims to provide a modern theoretical foundation to the most widespread notions and tools in financial economics, including present value theory, real interest rate, arbitrage pricing, portfolio management and mean-variance analysis. The students should become acquainted with the notion of arbitrage and equilibrium price in different market settings. They should be able to solve the problem of portfolio optimization and mean-variance analysis in rather general terms.
The get the final grading students are required to pass a final written exam. At least one fake exam will be organized to test your level of preparation. Students get extra points for completing their homework during the course.
The course requires a basic knowledge of linear algebra (linear space, linear map, basis, inversion, eigenvectors and eigensystems), calculus (differential analyses of function of many real variables and static optimization) and, to a lesser extent, probability theory. Some basic knowledge of the theory of choice under uncertainty (utility theory) and economic equilibrium are in general given for granted and only cursorily reviewed.
Delivery: face to face.
Larning activities:
Attendance: advised.
Teaching methods:
General equilibrium, no arbitrage in riskless economies, real interest rate and the yield curve. Arbitrage in security markets, state prices, complete and incomplete markets, valuation functional and the fundamental theorem of finance. Choices under uncertainty, expected utility theory and risk aversion. Portfolio choices, optimal portfolio with multiple risky assets. General equilibrium under uncertainty. Pricing kernel and mean-variance analysis. OPTIONAL: behavioral finance, asset prices under ambiguity, evolutionary finance and the market selection hypothesis.
Textbooks:
Further references and Optional readings:
Further material can be found here.
Check "Financial Economics" entries for the lecture timetable and locations in the calendar.