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There are 5 modules in this course
This course covers standard derivative pricing models. Both discrete time and continuous time techniques are considered. The course also includes an introduction to numerical option pricing, in particular the Monte Carlo Method.
After this course, students should have a good knowledge of financial markets, security pricing, arbitrage, interest rates, risk and return. Contents:
1) Definition and classification of financial assets
2) Discrete-time pricing models
3) Continuous-time pricing models
4) Fixed income products
5) Monte Carlo methods for derivative pricing
By the end of this week you will learn: fixing some notation; describe the pay-off structure of financial assets; evaluate possible usages of derivatives (hedging, speculation).
By the end of this week, you will understand the replication of a payoff function, state prices and risk neutral probabilities. Additionally, you will learn how to compute option prices in discrete time models.
What's included
8 videos10 readings3 assignments
Show info about module content
8 videos•Total 16 minutes
A simple period model of security prices: portfolios•4 minutes
A single period model of security prices: pricing via replication•3 minutes
Pricing options by state prices•2 minutes
Pricing assets using risk neutral probabilities: examples•2 minutes
Pricing options using risk neutral probabilities•2 minutes
Pricing assets by state prices: examples•1 minute
A Multi-period model of security prices•2 minutes
Pricing american options•1 minute
10 readings•Total 52 minutes
A simple period model of security prices (part 1)•8 minutes
Let's practice!•2 minutes
A single period model of security prices (part 2)•12 minutes
Let's practice!•5 minutes
Pricing by state prices•5 minutes
Pricing by risk neutral probabilities•5 minutes
Let's practice!•4 minutes
A Multi-period model of security prices•7 minutes
Pricing american options•3 minutes
To sum up•1 minute
3 assignments•Total 37 minutes
Discrete time models•30 minutes
Pricing assets by state prices: exercise •5 minutes
Pricing assets using risk neutral probabilities: examples•2 minutes
Continuous time models
Module 3•2 hours to complete
Module details
By the end of this week, you will learn about stochastic processes and Itô's lemma, financial markets in continuous time, and option pricing in continuous time.
What's included
5 videos8 readings2 assignments
Show info about module content
5 videos•Total 17 minutes
The Geometric Brownian motion•2 minutes
The Itô’s rule•2 minutes
The MBS model: completeness•2 minutes
The MBS model: the price of European options (part 1)•6 minutes
The MBS model: the price of European options (part 2)•6 minutes
8 readings•Total 39 minutes
Brownian motion and exponential Brownian motion•8 minutes
The Itô’s rule•1 minute
Merton-Black-Scholes option pricing•10 minutes
Example•1 minute
The MBS model: the price of European options (part 1)•8 minutes
The MBS model: the price of European options (part 2)•7 minutes
Let's practice!•3 minutes
To sum up•1 minute
2 assignments•Total 38 minutes
Continuous time models•30 minutes
Brownian motion and exponential Brownian motion•8 minutes
Pricing fixed income products: discrete time & continuous time
Module 4•1 hour to complete
Module details
By the end of this week, you will learn how to compute the price of fixed income products.
What's included
8 videos9 readings1 assignment
Show info about module content
8 videos•Total 21 minutes
The binomial model of interest rate•2 minutes
Pricing bonds with a Binomial Interest Rate Tree•2 minutes
Recovering the risk neutral probability from bond prices•3 minutes
Building a realistic tree•1 minute
Continuous time models of interest rates•2 minutes
Pricing bonds with continuous time interest rates•6 minutes
Introduction to credit risk models: the Merton model•3 minutes
Introduction to credit risk models: the intensity-based approach•2 minutes
9 readings•Total 26 minutes
The binomial model of interest rate•1 minute
Pricing bonds with a Binomial Interest Rate Tree•1 minute
Pricing Interest Rate Options with a Binomial Interest Rate Tree•3 minutes
Building a realistic tree•5 minutes
Continuous time models of interest rates•1 minute
Continuous time models of interest rates•10 minutes
Introduction to credit risk models: the Merton model•3 minutes
Introduction to credit risk models: the intensity-based approach•1 minute
To sum up•1 minute
1 assignment•Total 30 minutes
Pricing fixed income products: discrete time & continuous time •30 minutes
Numerical methods for option pricing
Module 5•1 hour to complete
Module details
At the end of this week, you will learn numerical computation of option prices.
What's included
7 videos10 readings1 assignment
Show info about module content
7 videos•Total 18 minutes
Generating random numbers from the uniform distribution•2 minutes
Generating random numbers from a normal distribution•1 minute
Simulation of BM, GBM and Vasicek processes•2 minutes
Monte Carlo simulations and option pricing•2 minutes
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