KTH Mathematics  


Mathematical Statistics

The aim of the course is give a deeper understanding of portfolio theory as well as to give an overview of some practical problems and their solutions.

Prerequisities:
SF 2975 Portfolio Theory and Risk Valuation or equivalent course.

Examination:

There will be a written examination on Monday December 19, 2011, 14-19. Registration for the written examination via "mina sidor"/"my pages" is required. Registration requests otherwise addressed will not be processed. Grades are set according to the quality of the written examination. 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 examination will be given.

Homework set:
There will be one homework set with two parts. You may work with the homework in groups of up to four students. Each homework set will be graded with Pass or Fail. A failed homework must be corrected within a week from the day it is handed out with the grade F. If not, the student will fail this year's homework. A homework handed in on time and given the grade Pass will give 1.5 credits (LAB 1) as well as points on the first exam. Each homework gives at most 5 points which are substituted for the result on the first problem (which consists of two parts) on the exam. To obtain the grade Pass and the points on the exam the student must present the homework in a report which clearly explains how the problems were solved. Each report, printed on paper, must be handed in on time in order to be accepted. All the instructions on the homework must be followed in order to pass.

Project:
Students must work with group projects during the course. Groups of up to four students are allowed. The projects will be presented in a report and during a seminar. A well-presented project will give 1.5 credits (LAB 2) as well as up to 20 points on the first exam, substituted for the result on the second and third problem on the exam.
The projects should typically be based on research articles in areas related to the course, and include theory not covered in the course as well as numerical examples and/or simulations.
Students must find their own project topics.

Course literature:
Scherer, B., Portfolio Construction and Risk Budgeting, Risk Books (2007).

Recommended literature:
Armerin, F., An Introduction to the Theory of Risky Investments. Lecture Notes
(2004). Available from "Studentexpeditionen", Lindstedsvägen 25.
Sharpe, W., Investors and Markets. Portfolio Choice, Asset Prices & Investment. Princeton
University Books (2006).

Preliminary plan (BD=Boualem Djehiche, AH=Ali Hamdi) 

Day Date Time Place Topic Lecturer
Tu 25/10 13-15 Q31
Introduction, portfolio choice
BD
Tu 1/11
13-15 Q31 Resampling
AH
We
2/11
10-12 Q21
Risk budgeting
BD
Tu
8/11 13-15 Q31
Deviations from normality
BD
We 9/11 10-12 Q21 Bayesian methods, Black-Litterman
BD
Tu
15/11
13-15 Q31 Bayesian methods, Black-Litterman BD
We 16/11 10-12 Q21 Scenario optimization
AH
Tu
22/11
13-15 Q31
Scenario optimization
AH
We 23/11
10-12 Q21
Portfolio construction with transaction costs
BD
Tu
29/11 13-15 Q31
Benchmark-relative optimization BD
We 30/11
10-12 Q21 Project presentations AH
Tu
6/12
13-15 Q31 Project presentations AH
We
7/12
10-12
Q21
Project presentations AH
Mo
12/12
10-12
Q34
Project presentations AH

Welcome, we hope you will enjoy the course!

Boualem and Ali


To course web page

Published by: Ali Hamdi
Updated: 10/10-2011