Math 339, Topics in Applied Mathematics

Mathematical Finance

Fall 2001 Daily Schedule

# Date Topics Core Reading Background Reading Homework
1 F 9/7 Introduction - - -
2 M 9/10 Compound interest Handout from Hahn - Problems 1, 4, 5, 6 on handout (due 9/17) (answers).
3 W 9/12 Interest (continued) - - -
4 F 9/14 Present and future value - - HW 2 (due 9/21; postponed to 9/24)
5 M 9/17 Stocks and the stock market - WSJ Guide p. 34-81 (these topics will come up sooner or later) HW 3 (first part: Get 10 years worth of data on a stock)
6 W 9/19 random variables, expected value, sample mean, return on an investment Wilmott 3.3 - HW 3 (con't) Compute the daily returns for the last ten days for your company.
7 F 9/21 - - - -
8 M 9/24 demo HW 3 - - HW 3 (due 9/28)
9 W 9/26 Mountain day! - - -
10 F 9/28 basic probability theory handout on probability and statistics Hull Ch 1 -
11 M 10/1 coin tossing - Wilmott Ch 3 -
12 W 10/3 coin tossing as Brownian motion handout on Brownian motion (to appear) - -
13 F 10/5 Brownian motion (con't) - - HW 4 (due 10/15)
14 W 10/10 Forwards Hull 3.2 - HW 5 (due 10/17)
15 F 10/12 Futures - Hull Ch 2, WSJG p. 126-137 -
16 M 10/15 Currency forwards Hull 3.8, Ross p. 69 - -
17 W 10/17 Calls and puts Hull 1.3, 1.5 Hull Ch 6; Wilmott Ch 2; WSJG: 140-149 -
18 F 10/19 Bachelier (payoff) diagrams Hull p. 9, Wilmott 2.4 - -
19 M 10/22 review for test; also bull spread Hull Ch 8 (don't need to know by name, but should be able to construct) Wilmott 2.14f. -
20 W 10/24 - - - -
21 F 10/26 Test I - - -
22 M 10/29 put-call parity Hull 7.4 Wilmott 2.12 Homework 6
23 W 10/31 binomial trees Hull 9.1 - -
24 F 11/2 (con't) Hull 9.2, 9.3, 9.4 - HW 7: Hull p. 216 (answers in parentheses): 1 ($1.69), 4 ($1.16), 5 ($9.61), 6 ($1.92)
25 M 11/5 Brownian motion and geometric Brownian motion Handout, also Hull 10.1 to 10.5 - -
26 W 11/7 - - - -
27 F 11/9 - - - -
28 M 11/12 Ito's lemma Hull 10.6, Appendix 10A - HW 8 (due 11/19)
29 W 11/14 Black-Scholes PDE Hull 11.4, 11.5 Wilmott Ch. 5 -
30 F 11/16 Solving the equation for GBM Hull p. 230 Wilmott Ch 4 -
31 M 11/19 Black-Scholes formulas Hull 11.7 - HW 9: Hull 10.8, 11.4 (Ans: $2.37), 11.13 (Ans: $5.06). Check your answer to 11.13 using Maple or DerivaGem. (due 11/28)
32 M 11/26 American vs European options Hull 7.5, 7.6 - HW 10 (due 12/5)
33 W 11/28 Estimating mu and sigma (handout to come) Test II(self-scheduled) - -
34 F 11/30 Video: Trillion-dollar bet - - -
35 M 12/3 - - - HW 11 (due 12/10)
36 W 12/5 Evaluating American puts with a tree Hull 16.1 - HW 13
- - Risk-neutral valuation Hull 11.6 Wilmott p. 164, WHD 5.6 -
37 F 12/7 Volatility smiles Hull 17.3 (p. 438) - HW 12 (due 12/12)
- - Solutions to the BS PDE: European calls WHD p. 46, Wilmott p. 107 - -
- - Solutions to the BS PDE: forwards Hull p. 247 - -
38 M 12/10 Pricing options by simulation Hull 16.6 (p. 406) Wilmott p. 924 HW 14: pricing calls by simulation
- - Exotic options Hull Ch. 18 - HW 15: pricing lookback calls
39 W 12/12 Summary; defects in Black-Scholes - Wilmott Ch. 22 -