AMS 511, Foundation of Quantitative Finance
Introduction to capital markets, securities pricing, and modern portfolio theory,
including the organization and operation of securities market, the Efficient Market
Hypothesis and its implications, the Capital Asset Pricing Model, the Arbitrage Pricing
Theory, and more general factor models. Common stocks and their valuation, statistical
analysis, and portfolio selection in a single-period, mean-variance context will be
explored along with its solution as a quadratic program. Fixed income securities and
their valuation, statistical analysis, and portfolio selection. Discussion of the
development and use of financial derivatives. Introduction to risk neutral pricing,
stochastic calculus, and the Black-Scholes Formula. Whenever practical, examples will
use real market data. Numerical exercises and projects in a high-level programming
environment will also be assigned.
3 credits, ABCF grading
Course Materials for Fall 2023 (required):
"Investment Science" by David G. Luenberger, 2nd edition, Oxford University Press,
2014; ISBN 9780-19-974008-6
Learning Outcomes:
1.) Understand the function of the financial industry as an economic section and the
main components of financial markets.
* Financial assets;
* Financial intermediaries;
* Regulations on financial markets.
2.) Evaluate the value of simple fixed-income securities and understand the mechanics
of complicated fixed-income securities.
* Evaluation of bond value;
* Yield curve and spot rate;
* Collateralized debt obligation (CDO) and credit default swap (CDS).
3.) Evaluate to evaluation the value of risky securities using the arbitrage pricing
theory (APT) and the Black-Schole’s formula.
* Arbitrage-free in one-period discrete model;
* Continuous model and Black-Schole’s formula;
4.) Understand the concepts in modern portfolio theory and capital asset pricing model
(CAPM).
* Utility, risk and return of investments;
* Mutual fund theorem;
* Separation theorem.
5.) Understand the importance of regulation and risk management for financial agents.
* Government regulation and the 2010 financial reforms;
* Measuring risk exposures;
* Stress testing.
6.) Demonstrate skill with mathematical and statistical methods used in financial analytics.