| 1 |
Lecture 1 -Introduction to random processes
|
|
|
2022-02-25
|
| 2 |
Lecture 2 -Classes of random processes
|
|
|
2022-02-25
|
| 3 |
Lecture 3 -Wiener process. Properties of Wiener process
|
|
|
2022-02-25
|
| 4 |
Lecture 4 -Ito Stochastic Integrals: simple functions and general case
|
|
|
2022-02-25
|
| 5 |
Lecture 5 -Ito Formula: general and various particular cases
|
|
|
2022-02-25
|
| 6 |
Lecture 6 -Stochastic Differential Equation.
|
|
|
2022-02-25
|
| 7 |
Lecture 7 -Existence and Uniqueness Theorem
|
|
|
2022-02-25
|
| 8 |
Lecture 8 -Bachelier approach to model stock prices
|
|
|
2022-02-25
|
| 9 |
Lecture 9 -Stochastic differential equations in mathematical finance
|
|
|
2022-02-25
|
| 10 |
Lecture 10 -Black-Scholes formula
|
|
|
2022-02-25
|
| 11 |
Lecture 11 -Geometric Brownian motion, Ornstein–Uhlenbeck process
|
|
|
2022-02-25
|
| 12 |
Lecture 12 - Arbitrage Bond Model
|
|
|
2022-02-25
|
| 13 |
Assignment
|
|
|
2022-02-25
|