ENMG 624 Financial Engineering I – Summer 2024

Instructor: Bacel Maddah

Syllabus

 

Class Notes

Topic 1   

Probability Primer

Review on the Theory of Interest

Topic 2 

Mean-Variance Portfolio Theory (1) (Chapter 6, text)

Mean-Variance Portfolio Theory (2) (Chapter 6, text)

Two-Asset Portfolio Diagram | Two-Fund Theorem Application (Ex 6.10) 

Topic 3

The Capital Asset Pricing Model (Chapter 7, text)                                                                                                                                                                                                                                     

Other Pricing Models (Chapter 8, text)

Data and Statistics (Chapter 9, text)

CAPM In-Class Examples  | Example 9.1: Simulating stock data  | Example 9.6:   Estimating mean stock return

Topic 4

General Principles (Portfolio structuring via maximizing utility) (Chapter 11, text)                                                                                                                                                                 

Forwards, Futures, and Swaps (Chapter 12, text)

Models of Asset Dynamics (Chapter 13, text)

 Some history (Ross 2003)

Examples on log-optimal portfolios and log-optimal pricing

Futures prices snapshot from the WSJ 

Excel Simulation: Geometric Brownian Motion 

Topic 5

Basic Option Theory (Chapter 14, text, 1)

Basic Option Theory (Chapter 14, text, 2)

Option prices snapshot from the Nasdaq

Excel models for pricing a European call, a European put, an American put, and a real option 

Homework Assignments

HW 1   Probability refresh.  Due Thu, Jun 20.

HW 2   6.3, 6.5, 6.6, 6.7, 6.11 (Text).  Due Thu, Jul 4. 

HW 3   7.1, 7.3, 7.6, 7.10  (Text).   Due Thu, Jul 11. 

HW 4  8.1, 8.2, 9.2, 9.3,  11.1, 11.11, 11.16 (Text).   Due Tue, Jul 23. 

HW 5 13.1, 13.6, Supplement to 13.6 – evaluate P{S(1)>S(0)}, 14.1, 14.2, 14.4 (a) & (b), 14.8, 14.10,  14.13, 14.15.  Due Sun, Aug 4, by email to probhw@gmail.com. (Send one clear pdf file.)  

Links

Bloomberg | Yahoo Finance | WSJ | Morningstar

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