This entry is from Winter semester 2019/20 and might be obsolete. You can find a current equivalent here.

# Financial Mathematics I (dt. Finanzmathematik I)

 Level, degree of commitment Advanced module, depends on importing study program Forms of teaching and learning,workload Lecture (3 SWS), recitation class (1 SWS), 180 hours (60 h attendance, 120 h private study) Credit points,formal requirements 6 CP Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises. Examination type: Written or oral examination Language,Grading German,The grading is done with 0 to 15 points according to the examination regulations for the degree program B.Sc. Business Mathematics. Subject, Origin Mathematics, B.Sc. Business Mathematics Duration,frequency One semester, each winter semester Person in charge of the module's outline Prof. Dr. Dr. Marcus Porembski, Prof. Dr. Hajo Holzmann

## Contents

• Interest, bonds, equities, commodities, foreign exchange
• Forward contracts, options
• Use of derivatives (strategy, product design)
• Discrete financial market models
• CRR Model and Variations

## Qualification Goals

The students shall

• be familiar with the basic financial instruments, the functioning of financial markets and the basic discrete models and axioms of capital market theory,
• Gain insight and intuition into the practice of financial mathematical modelling and be able to critically question models,
• be able to value basic options on equities, indices and currencies as well as forward contracts on interest rates, securities, equities and commodities.

## Prerequisites

None. The competences taught in the following modules are recommended: either Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis, Elementary Stochastics.

• Porembski, M.: Vorlesungsskript ”Finanzmathematik”
• Sandmann, K.: Einführung in die Stochastik der Finanzmärkte. Springer, 2000
• Kremer, J.: Einführung in die Diskrete Finanzmathematik, Springer, 2005.
• Shreve, S.E.: Stochastic Calculus for Finance I: The Binomial Asset Pricing Model, Springer, 2004
• Hull, J.C.: Options, Futures, and Other Derivatives, Prentice Hall, 2005