Course syllabus - Portfolio Theory II
Scope
7.5 credits
Course code
MAA518
Valid from
Autumn semester 2020
Education level
Second cycle
Progressive Specialisation
A1N (Second cycle, has only first-cycle course/s as entry requirements).
Main area(s)
Mathematics/Applied Mathematics
School
School of Education, Culture and Communication
Ratified
2019-12-09
Literature lists
Course literature is preliminary up to 8 weeks before course start. Course literature can be valid over several semesters.
-
Books
Modern Portfolio Theory: Foundations, Analysis, and New Developments + Website (Wiley Finance Series)
Wiley, 2013
Objectives
The objective of the course is to give the students the opportunity to extend their knowledge of portfolio theory.
Learning outcomes
Upon completion of the course, the student is expected to be able to
1. describe the limitations of the CAPM and explain Roll's critique
2. derive models that extend the CAPM
3. perform different tests to verify the CAPM's validity
4. apply non-mean-variance criteria to construct an optimal portfolio
5. compare different portfolios based on performance measures
6. explain the concept of market timing
7. calculate the VaR and the ES of a portfolio
8. implement the models studied using a software/programming language suitable to work with financial time series
9. write a report and present a topic related to recent research in the field of portfolio theory
Course content
- CAPM: assumptions and definitions, limitations and Roll's critique
- Extensions of the CAPM: risk-free borrowing or lending, personal taxes, transaction costs, unmarketable assets
- Empirical tests of the CAPM: time-series tests, cross-sectional tests, multivariate tests
- Non-mean-variance portfolios: geometric mean return criterion, safety-first criterion, stochastic dominance criterion
- Portfolio performance evaluation: single-parameter portfolio performance measures, market timing, index of total portfolio risk (ITPR)
- Risk management: portfolio value at risk (VaR), decomposition of a portfolio's VaR, expected shortfall (ES)
Specific requirements
At least 120 credits totally from these areas: technical, natural sciences, business administration or economics where Portfolio Theory I 7,5 credits or equivalent is included. In addition, Swedish B/Swedish 3 and English A/English 6 are required. In cases when the course is offered in English, the requirement for Swedish B/Swedish 3 is excluded.
Examination
OVN1, Exercise, 1 credit, exercises concerning learning outcomes 1-8, grades Fail (U), Pass (G) or Pass with distinction (VG).
SEM1, Seminar, 1.5 credits, active participation in seminars concerning learning outcomes 1-9, grades Fail (U), Pass (G) or Pass with distinction (VG).
TEN1, Written examination, 5 credits, individual written examination concerning learning outcomes 1-7, grades Fail (U), Pass (G) or Pass with distinction (VG).
For Pass with distinction (VG) on the course as a whole, the student must have earned that grade for all parts: OVN1, SEM1 and TEN1.
A student who has a certificate from MDU regarding a disability has the opportunity to submit a request for supportive measures during written examinations or other forms of examination, in accordance with the Rules and Regulations for Examinations at First-cycle and Second-cycle Level at Mälardalen University (2020/1655). It is the examiner who takes decisions on any supportive measures, based on what kind of certificate is issued, and in that case which measures are to be applied.
Suspicions of attempting to deceive in examinations (cheating) are reported to the Vice-Chancellor, in accordance with the Higher Education Ordinance, and are examined by the University’s Disciplinary Board. If the Disciplinary Board considers the student to be guilty of a disciplinary offence, the Board will take a decision on disciplinary action, which will be a warning or suspension.
Grade
Pass with distinction, Pass, Fail