FY832: The physics of finance

Study Board of Science

Teaching language: Danish or English depending on the teacher, but English if international students are enrolled
EKA: N510040102
Assessment: Second examiner: None
Grading: Pass/Fail
Offered in: Odense
Offered in: Spring
Level: Master

STADS ID (UVA): N510040101
ECTS value: 5

Date of Approval: 31-10-2022


Duration: 1 semester

Version: Approved - active

Comment

 

Entry requirements

This course can be followed by all bachelor students in science with basic mathematical skills equivalent to first year of physics or mathematics.

Academic preconditions

Thermodynamics and/or statistical mechanics is an advantage but not a requirement.

Course introduction

The aim of this course is to give the students an insight into how methods from statistical physics can be used to describe financial systems. The aim of the course is therefore both to give the students a general insight into how statistical physics can be used to understand complex macroscopic systems by using financial systems as a case study, but also to give the students a basic insight into the financial systems and the models which are used to describe them.

How the course contributes to the education's competence profile:
Finance physics will enable the student to apply statistical physics’ scientific theories and methods as well as work with topics and methods from the field of statistical physics, and plan and carry out scientific projects at a high academic level. In addition, the course will contribute to the student learning to investigate a hypotheses made within statistical physics and financial physics on a qualified theoretical background and be critical of own and others' research results and scientific models. Due to the interdisciplinary nature of the course, the course will also strengthen the student's abilities to initiate and implement professional and interdisciplinary collaboration and take responsibility for their own professional development and specialization.

The course will introduce the student to basic theoretical concepts and data-analysis methods based on research at the highest international level in statistical physics and financial physics. On the basis of the laws of physics in statistical physics, the student learns to compile a mathematical description of a given physical problem and to solve it quantitatively, to use computer simulations as a scientific research tool and to solve scientific problems by using a combination of theory, numerical simulation and data. The student learns to verify the validity of put forward hypotheses by designing and performing data analysis as well as applying theoretical models and being critical of own and others' research results and scientific models. The student learns to investigate concrete phenomena theoretically and / or experimentally and thus contribute to generating new scientific insights and to creating new practical applications of physics research. 

With the international dimension of financial physics, the graduate acquires competencies to handle professional and personal relationships in non-Danish cultural contexts and to understand that the approach to the subject's central topics and methods is independent of national boundaries.

Expected learning outcome

After completing the course the student is expected to:
  • Have a basic understanding of stochastic systems
  • Have a basic understanding of statistical physics and its applications to economical systems
  • Basic understanding of quantitative financial models

Content

  • Random walk
    • Lévy stochastic process 
    • Correlations and anticorrelations
    • Scales and scaling in financial data
    • Stochastic models of price dynamics
    • Turbulence and financial markets
    • Options

    Literature

    See itslearning for syllabus lists and additional literature references.

    Examination regulations

    Exam element a)

    Timing

    June

    Tests

    Written exam

    EKA

    N510040102

    Assessment

    Second examiner: None

    Grading

    Pass/Fail

    Identification

    Full name and SDU username

    Language

    Normally, the same as teaching language

    Examination aids

    To be announced during the course

    ECTS value

    5

    Indicative number of lessons

    36 hours per semester

    Teaching Method

    The teaching method is based on three phase model.
    • Intro phase: 24 hours of video lectures 
    • Skills training phase:  tutorials: 12 hours.
    Activities during the study phase:
    • Solution of weekly assignments in order to discuss these in the exercise sections.
    • Solving the project assigments
    • Self study of various parts of the course material.
    • Reflection upon the intro and training sections.

    Teacher responsible

    Name E-mail Department
    Martin Snoager Sloth sloth@cp3.sdu.dk Fysik

    Timetable

    Administrative Unit

    Fysik, kemi og Farmaci

    Team at Educational Law & Registration

    NAT

    Offered in

    Odense

    Recommended course of study

    Profile Education Semester Offer period

    Transition rules

    Transitional arrangements describe how a course replaces another course when changes are made to the course of study. 
    If a transitional arrangement has been made for a course, it will be stated in the list. 
    See transitional arrangements for all courses at the Faculty of Science.