KTH Mathematics  


Mathematical Statistics

This course is aimed at those wants to achieve a general education in financial mathematics.

Prerequisities:
Linear Algebra SF1624 (or SF1604), Calculus SF1625 (or SF1602), Probability Theory and Statistics SF1901 or equivalent courses.

Examination:

There will be a written exam on Tuesday June 3, 2014, 8.00-13.00. Registration for the written examination via "mina sidor"/"my pages" is required. SU students can register at the student affairs office of the mathematics department. The time intevall during which registration is possible is 2014-xx-xx until 2014-xx-xx. Registration requests otherwise addressed will not be processed. Grades are set according to the quality of the written exam. Grades are given in the range A-F, where A is the best and F means failed, and Fx. Fx means that you have the right to a complementary examination (to reach the grade E). The criteria for Fx is a grade F on the exam, and that an isolated part of the course can be identified where you have shown a particular lack of knowledge and that the examination after a complementary examination on this part can be given the grade E.
One additional written exam will be given, the date will be announced later.

Homework:
There will be two homework assignments. Note that solving the homework assignments is NOT a requirement for passing the course. Correctly solved homework assignments handed in on time will result in that you will not have to solve parts of or the whole of the first exercise on the exam in June and the next exam, but after that you either have to re-do the homework or solve all exercises at the exam.

Course literature:
J. Hull: Fundamentals of Futures and Options Markets, 8:th ed.
Available from "Kårbokhandeln".

Preliminary plan (CL=Camilla Landen, TG=Thorbjörn Gudmundsson) 

Day Date Time Place Topic Chapter Lecturer
Mon 24/3 13-15 Q2
Introduction
1, 12.1, 12.2 CL
Tue 25/3 13-15 Q2
Conditional expectation, martingales
- CL
Thu 27/3 10-12 Q2
Binomial model
12 CL
Mon 31/3 10-12 Q2
Binomial model
18.1 CL
Thu 3/4 13-15 Q2
General one period model
- CL
Fri 4/4 10-12 Q2
Exercises
10.5 TG
Mon 7/4 13-15 Q2
Dividends
18.3 CL
Tue 8/4 13-15 Q2
Forwards and Futures
2, 5 CL
Thu 10/4 13-15 Q2
Exercises
- TG
Mon 14/4 10-12 D3
Black-Scholes model
10, 11, 13 CL
Wed 16/4 10-12 Q2
Black-Scholes model
17, 18.2 CL
Thu 17/4 10-12 Q2
Exercises
- TG
Tue 22/4 13-15 Q2
Interest rates
4, 6 CL
Thu 24/4 15-17 Q2
Forward rate agreements and swaps
7 CL
Fri 25/4 10-12 Q2
Exercises
- TG
Mon 28/4 10-12 Q2
Currency derivatives
15, 18.2 CL
Tue 29/4 14-16 Q2
Interest rate models
- CL
Wed 30/4 10-12 Q2
Exercises
- TG
Mon 5/5 13-15 D3
Interest rate trees
- CL
Tue 6/5 13-15 D3
Exchange options
22 CL
Thu 8/5 8-10 Q2
Exercise
- TG
Mon 12/5 10-12 Q2
Loose ends and summary
- CL
Tue 13/5 13-15 Q2
Exercises
- TG
Wed 14/5 10-12 Q2
Exercise
- TG

Chapter refers to chapters in "Fundamentals of Futures and Options Markets" by John C. Hull. For the interest rate part at the end of the course extra material will be handed out.

Welcome, we hope you will enjoy the course!

Camilla and Thorbjörn


To course web page

Published by: Camilla Landen
Updated: 25/10-2013