Financial Derivatives

The financial engineering of forwards, futures, swaps, and options, with Python tools for fixed income and options

Last updated 2022-01-10 | 4.6

- Learn the fundamentals of derivatives at a quantitative level
- Master arbitrage
- the core principle underlying derivatives
- quantitative risk management and quantitative trading
- Use derivatives to control and manage financial risk

What you'll learn

Learn the fundamentals of derivatives at a quantitative level
Master arbitrage
the core principle underlying derivatives
quantitative risk management and quantitative trading
Use derivatives to control and manage financial risk
Price forwards
futures
swaps and options
Understand the Black-Scholes theory and formula intuitively
avoiding stochastic calculus
Learn the limitations of the Black-Scholes theory
and how it is used in practice
Python based tools are provided for computations with bonds
yield curves
and options

* Requirements

* Calculus and a basic course in probability and statistics
* No knowledge or background in finance is assumed

Description

Student Testimonials:

  • This course offers an unreal value. Very rich content! This beats any financial course I've taken at my university. Looking forward to completing this course and using some of these skills in my career.--Steven


  • Cameron is an outstanding teacher. Thank you very much for making the most important and difficult Finance concepts so easy to understand. Looking forward to the further courses.--Gevorg


  • I got (am getting) some intuition about quant finance, not just leaning facts without really understanding the concepts.

    Cameron gives nice detailed answers to students questions.--Rich


Interested in a lucrative and rewarding position in quantitative finance?  Are you a quantitative professional working in finance or a technical field and want to bridge the gap and become a full on quant?  Then read on.

The role of a quantitative analyst in an investment bank, hedge fund, or financial company is an attractive career option for many quantitatively skilled professionals working in finance or other fields like data science, technology or engineering.  If this describes you, what you need to move to the next level is a gateway to the quantitative finance knowledge required for this role that builds on the technical foundations you have already mastered.


This course is designed to be exactly such a gateway into the quant world.  If you succeed in this course you will become a master of quantitative finance and the financial engineering of the most influential class of financial products that exist on markets today: derivatives.


About the instructor:

This course was created by a mathematician and financial quant holding a Ph.D. from the Courant Institute of Mathematical Sciences at NYU, and who earned his quant chops on Wall Street after an accomplished career as a theoretical materials scientist.


The focus of the course is thus very much on the practical skills someone working in the trenches in the real world of finance needs to have.  But since the course author also has 10 years of college teaching experience, it is taught with an eye to sound course structure and sensitivity to the concerns of students.


What you will learn:

Many finance students and professionals find derivatives the most challenging subject in their field.  But if you have a background in quantitative fields like statistics or computer science this course will show you that these most daunting of financial products are completely accessible to you.


Even if you are completely new to the world of finance, after completing this course you will have a deep mastery of the fundamental derivative structures traded on markets today: forwards, futures, swaps, and options.  But since this course is presented by a practitioner you will also learn how derivatives are actually used in the real world, as tools for both speculation and risk management.


The world of finance and markets is fast-paced and exciting, but can also be very intimidating.  In the heat of the moment, the markets are volatile and unpredictable, positions go south in unanticipated ways, you have traders yelling at you, you have computer software failing, you're relying on data you can't trust.  Keeping your head above water in this environment can be well nigh impossible.


You need a conceptual framework that allows you to keep above the fray and keep your wits about you.  In this course, my primary purpose is to convey that conceptual framework to my students.  The same conceptual framework that allowed me to survive and thrive in the pits of Wall Street during the dark days of the financial crisis.


Concerned that you may not have the required background to succeed in this course?  As long as you meet the formal prerequisites you need not be.  A quantitatively strong business background is more than enough to meet these requirements.  Any decent course in statistics and the basics of calculus is enough.  In truth, high school mathematics is all that is needed for 80-90% of the course material.  The most important requirement is simply to think analytically and logically.


Here is a sampling of some of the main topics that we'll cover on your journey into the quant profession:

  • Interest rate fundamentals

  • Periodic and continuous compounding

  • Discounted cash flow analysis

  • Bond analysis

  • The fundamentals of equity, currency, and commodity assets

  • Portfolio modelling

  • Long and short positions

  • The principle of arbitrage

  • The Law of One Price

  • Forwards, futures, and swaps

  • Risk management principles

  • Futures hedging

  • Stochastic processes

  • Time series concepts

  • The real statistics of asset prices: volatility clustering and autocorrelation

  • Fat-tailed distribution and their importance for financial assets

  • Brownian motion

  • The log-normal model of asset prices

  • Options

  • Put-call parity

  • The binomial model of option pricing

  • The Black-Scholes theory and formula

  • Option greeks: delta, gamma, and vega

  • Dynamic hedging

  • Volatility trading

  • Implied volatility

Includes Python tools

Python based tools are now included for computations with bonds, yield curves, and options.  All software that is part of this course is released under a permissive MIT license, so students are free to take these tools with them and use them in their future careers, include them in their own projects, whether open source or proprietary, anything you want!


So Sign Up Now!

Accelerate your finance career by taking this course, and advancing into quantitative finance.  With 23 hours of lectures and supplemental course materials including 10 problem sets and solutions, the course content is equivalent to a full semester college course, available for a fraction of that price, not to mention a 30 day money back guarantee.  You can't go wrong!

Who this course is for:

  • Technical professionals who want to learn about quantitative finance
  • Finance professionals who want to improve their quantitative skills and learn how to analyze derivative products

Course content

6 sections • 128 lectures

Interest Rates Preview 12:19

Interest Rates: General Considerations Preview 20:09

Interest Rates and Future Values Preview 07:47

Compounding Conventions Preview 11:38

Investment Return Measures Preview 08:23

Interest Rate Conversions Preview 07:26

Continuous Compounding Preview 07:58

The Time Value of Money Preview 07:07

Present Value Preview 13:58

Discount Factors Preview 15:57

Discounted Cash Flow Analysis Preview 14:51

Bonds and Discounted Cash Flow Analysis Preview 26:59

Yield to Maturity Preview 07:58

Python Tools: Bonds Preview 03:59

Simple Interest and Day Count Conventions Preview 09:41

LIBOR Preview 20:01

Fed Funds Rate Preview 08:57

SONIA: The Sterling Overnight Index Average Preview 26:48

SOFR: The Secured Overnight Financing Rate Preview 22:37

Yield Curves and Discount Curves Preview 16:57

Python Tools: Yield Curves I Preview 04:59

Bootstrapping Spot Curves from Bonds Preview 13:20

Bootstrapping Spot Curves from Bonds II Preview 04:15

Python Tools: Yield Curves II Preview 01:46

Interest Rates: Default Assumptions Preview 05:33

Equity Assets: Stock Preview 13:53

Commodities Preview 05:49

Modelling Portfolios Preview 12:54

Foreign Currencies Preview 11:55

Dividends, Convenience Yields, and Storage Preview 08:34

Long and Short Positions Preview 09:07

Long/Short Example Preview 06:22

The Arbitrage Concept Preview 16:25

Arbitrage: Formal Definition Preview 10:45

Arbitrage Example #1 Preview 15:40

Arbitrage Example #2 Preview 10:01

The Law of One Price Preview 37:08

Law of One Price: Extensions and Examples Preview 16:45

Arbitrage and Discounted Cash Flow Analysis Preview 15:18

Derivatives Preview 07:10

Derivative Markets Preview 10:00

Forward Contracts Preview 18:54

Forward Payoffs Preview 13:08

Pricing Forward Contracts Preview 11:31

The Cash and Carry Arbitrage Preview 13:55

Forward Example: A Zero Coupon Bond Preview 14:19

Forward Example: A Stock (No Dividends) Preview 08:18

Forwards on Assets Paying a Known Income Preview 15:35

Forward Valuation with Known Income Preview 19:00

Forwards on Assets Paying a Known Yield Preview 14:23

Forward Example: A Dividend Paying Stock Preview 09:35

FX Forwards Preview 15:34

FX Forward Examples Preview 19:16

Futures Contracts Preview 11:47

Futures Prices Preview 12:22

Futures Marking to Market Preview 17:26

Futures: Margin Accounts Preview 08:17

Futures Prices and Spot Prices Preview 15:35

Convergence of Futures Prices to Spot Prices Preview 09:08

Futures Contracts and Cash Exposures Preview 09:40

Futures Hedging Preview 09:58

Futures Hedging Example #1 Preview 06:06

Futures Hedging and Basis Risk Preview 19:04

Futures Hedging Example #2 Preview 04:36

Futures Hedging Example #3 Preview 07:54

Speculation and Leverage with Futures Preview 05:59

A Futures Speculating Example Preview 08:43

The LIBOR Spot Curve Preview 14:56

Forward Interest Rates Preview 12:10

Forward Rate Agreements Preview 12:01

FRA Valuation Preview 16:26

Eurodollar Futures Preview 13:48

Swaps Preview 21:30

Pricing Swaps Preview 21:08

Swap Example #1 Preview 05:15

Swap Example #2 Preview 05:37

Building a LIBOR Curve: Overview Preview 05:19

Building a LIBOR Curve: the Short End Preview 05:17

Building a LIBOR Curve: the Midrange Preview 11:30

Building a LIBOR Curve: the Long End Preview 11:55

Python Tools: Yield Curves III Preview 02:04

Stochastic Processes: The Fundamental Idea Preview 07:31

Stochastic Processes: Formalities Preview 21:15

Time Series Statistics Preview 16:31

Fat-Tailed Distributions Preview 11:50

Asset Return Measures Preview 10:09

The Stylized Facts of Asset Prices Preview 11:55

Volatility Clustering Preview 09:54

Asset Return Autocorrelation Preview 16:28

Fat Tails of Asset Returns Preview 05:49

Random Walks Preview 12:16

The Distribution of Random Walks Preview 18:34

Random Walks as Models for Asset Prices Preview 19:23

Random Walks and Efficient Markets Preview 08:17

Brownian Motion Preview 18:51

Brownian Motion with Drift Preview 06:58

Brownian Motion and Asset Prices Preview 08:21

The Log-Normal Model Preview 19:30

The Log-Normal Model and Asset Prices Preview 19:04

Options Preview 18:12

Option Payoffs Preview 20:03

Arbitrage Bounds on Options: Geometry Preview 15:20

Arbitrage Bounds on Option Prices Preview 04:48

Arbitrage Inequality #1 Preview 05:35

Arbitrage Inequality #3 Preview 10:17

Extensions and Applications of Option Bounds Preview 08:47

Bounds on American Options Preview 15:44

The Geometry of Put-Call Parity Preview 11:24

Put-Call Parity Preview 12:54

The Binomial Model: 1 Step Preview 24:02

The 1 Step Binomial Model: The General Case Preview 21:37

1 Step Risk Neutral Pricing Preview 10:35

A 1 Step Risk Neutral Pricing Example Preview 04:47

The Binomial Model: 2 Steps Preview 20:09

The Distribution in the 2 Step Binomial Model Preview 10:28

The Full Binomial Model Preview 14:21

Call Pricing in the Binomial Model Preview 10:12

Binomial Approximation to a Log-Normal Preview 16:17

The Black-Scholes Formula Preview 18:53

Flaws of the Black-Scholes Theory Preview 11:45

The Black-Scholes Theory in Practice Preview 11:48

Option Greeks Preview 09:49

Option Theta and Time Decay Preview 20:39

Python Tools: Options Preview 08:23

Dynamic Hedging and Delta Neutral Trading Preview 19:28

Options and Volatility Trading Preview 15:47

Implied Volatility Preview 11:08