FINC405: Mathematical Finance

1. Course Outline


2. Office Hour: Friday 3pm-3:50pm, OBS3.30


3. Course Schedule

Week 1

9 Jul 2019, Lecture 1: Brownian motion and normal distribution

11 Jul 2019, Reviewing Calculus


Week 2

16 Jul 2019, Lecture 2: Probability density function of a function of Brownian motion

18 Jul 2019, Continue reviewing Calculus

Assignment 1 covers materials of Lecture 1 and 2. It is due in class on 25 Jul 2019 (Thu).

An article on Louis Bachelier


Week 3

23 Jul 2019, Lecture 3: Unconditional expectation of a function of a Brownian motion

25 Jul 2019, Continue Lecture 3


Week 4

30 Jul 2019, More exercises on deriving Black-Scholes type of formula

1 Aug 2019


Week 5

6 Aug 2019, Lecture 4: Conditional expectation of a function of a Brownian motion and martingale

8 Aug 2019, Continue Lecture 4

Assignment 2 covers materials of Lecture 3 and 4. It is due in class on 15 Aug 2019 (Thu).


Week 6

13 Aug 2019, Lecture 5: Stock price model, Ito's Lemma and option price model

15 Aug 2019, Continue Lecture 5

Exercise for Lecture 5


Week 7

20 Aug 2019, Review

22 Aug 2019, Midterm exam in OBSLG05 at 12pm-1:50pm


Mid-Semester Break

27 Aug 2019, No class

29 Aug 2019, No class


Week 8

3 Sep 2019, Lecture 6: No-arbitrage principle, forward price, put-call parity and the Black-Scholes model

5 Sep 2019, Continue Lecture 6

An article by Fischer Black

From Bachelier to Black-Scholes


Week 9

10 Sep 2019, Lecture 7: Poisson process

12 Sep 2019, Continue Lecture 7


Week 10

17 Sep 2019, Continue Lecture 7

Assignment 3 covers materials of Lectures 6 and 7. It is due in class on 24 Sep 2019 (Tue).

19 Sep 2019, Lecture 8: Merton's jump diffusion model


Week 11

24 Sep 2019, Continue Lecture 8

26 Sep 2019, Lecture 9: Mean-reverting process


Week 12

1 Oct 2019, Continue Lecture 9

Assignment 4 covers materials of Lecture 8 and 9. It is due in class on 8 Oct 2019 (Tue).

3 Oct 2019, Review


Week 13

8 Oct 2019, Review

10 Oct 2019, Review