
Explore the foundations of mathematical option pricing, including Black-Scholes, risk-neutral probability, and vanilla options, while reviewing necessary stochastic calculus and Brownian motion concepts.
Explore local volatility and the volatility surface to price exotic options while preserving vanilla option prices, using Monte Carlo methods within the Black-Scholes framework.
Derive the Breeden-Litzenberger formula from vanilla option prices to the stock distribution, using Lebesgue's differentiation under the integral sign, linking strike derivatives to distribution and density for local volatility.
Derive the Fokker-Planck equation, also called the Kamogawa forward equation, linking stock distribution to drift mu and volatility sigma, and explain its role in local volatility and option pricing.
Are you a maths student who wants to discover or consolidate your Mathematical Option Pricing? Are you a professional in the banking or insurance industry who wants to improve your theoretical knowledge?
Well then you’ve come to the right place!
Mathematical Option Pricing by Thomas Dacourt is designed for you, with clear lectures and 5 exercises and solutions.
In no time at all, you will acquire the fundamental skills that will allow you to confidently manipulate financial derivatives. The course is:
Easy to understand
Comprehensive
Practical
To the point
We will cover the following:
Black Scholes Assumptions
Risk Neutral Probability
Stock Process, Forward
Black Scholes Equation
Vanilla Options
Breeden Litzenberger
Fokker Planck Equation
Local Volatility
Barrier Options
Reflection Principle
Ornstein Uhlenbeck
These key concepts form the basis for understanding mathematical option pricing.
Along with the lectures, there are 5 downloadable exercises with solutions provided which are designed to check and reinforce your understanding.
The instructor
I am Thomas Dacourt and I am currently working as a senior quantitative analyst for a prestigious investment bank in London. I have held various quant positions in equity, commodities and credit in London over the last 10 years. I have studied mathematics and applied mathematics in France and financial engineering in London.
YOU WILL ALSO GET:
Lifetime Access
Q&A section with support
Certificate of completion
30-day money-back guarantee