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Class Notes

These lecture notes follow the course schedule. They live on the Stochastic Foundations for Finance site, and each chapter is available in HTML and as a PDF for printing.

Probability

Topic Date
Probability Basics 10/20
Conditioning and Independence 10/20
Continuous Distributions 10/22
Generating Functions 10/27

Discrete-Time Processes

Topic Date
Ruin Probabilities 10/29
Martingales in Discrete Time 11/3

Continuous-Time Processes

Topic Date
Poisson Processes 11/5
Brownian Motion 11/10
Stochastic Calculus 11/12-17

Asset Pricing in Continuous Time

Topic Date
Modeling Stock Prices 11/19
Discount Factors in Continuous Time 11/24
Derivatives Pricing in Continuous Time 12/1
Pricing with Jumps 12/1