401-3888-00L Introduction to Mathematical Finance
| Semester | Frühjahrssemester 2018 |
| Dozierende | M. Schweizer |
| Periodizität | jährlich wiederkehrende Veranstaltung |
| Lehrsprache | Englisch |
| Kommentar | Ein verwandter Kurs ist 401-3913-01L Mathematical Foundations for Finance (3V+2U, 4 ECTS-KP). Obwohl beide Kurse unabhängig voneinander belegt werden können, darf nur einer ans gesamte Mathematik-Studium (Bachelor und Master) angerechnet werden. |
Lehrveranstaltungen
| Nummer | Titel | Umfang | Dozierende | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 401-3888-00 V | Introduction to Mathematical Finance Starts in April 2018. | 54s Std. |
| M. Schweizer | ||||||||||||
| 401-3888-00 U | Introduction to Mathematical Finance Starts in April 2018. In the week of 1 May 2018, both exercise groups meet on Wednesday. | 16s Std. |
| M. Schweizer |
Katalogdaten
| Kurzbeschreibung | This is an introductory course on the mathematics for investment, hedging, portfolio management, asset pricing and financial derivatives in discrete-time financial markets. We discuss arbitrage, completeness, risk-neutral pricing and utility maximisation. We prove the fundamental theorem of asset pricing and the hedging duality theorems, and also study convex duality in utility maximization. |
| Lernziel | This is an introductory course on the mathematics for investment, hedging, portfolio management, asset pricing and financial derivatives in discrete-time financial markets. We discuss arbitrage, completeness, risk-neutral pricing and utility maximisation, and maybe other topics. We prove the fundamental theorem of asset pricing and the hedging duality theorems in discrete time, and also study convex duality in utility maximization. |
| Inhalt | This course focuses on discrete-time financial markets. It presumes a knowledge of measure-theoretic probability theory (as taught e.g. in the course "Probability Theory"). The course is offered every year in the Spring semester. This course is the first of a sequence of two courses on mathematical finance. The second course "Mathematical Finance" (MF II), 401-4889-00, focuses on continuous-time models. It is advisable that the present course, MF I, is taken prior to MF II. For an overview of courses offered in the area of mathematical finance, see Link. |
| Skript | The course is based on different parts from different textbooks as well as on original research literature. Lecture notes will not be available. |
| Literatur | Literature: Michael U. Dothan, "Prices in Financial Markets", Oxford University Press Hans Föllmer and Alexander Schied, "Stochastic Finance: An Introduction in Discrete Time", de Gruyter Marek Capinski and Ekkehard Kopp, "Discrete Models of Financial Markets", Cambridge University Press Robert J. Elliott and P. Ekkehard Kopp, "Mathematics of Financial Markets", Springer |
| Voraussetzungen / Besonderes | NOTE: Due to personal (health) reasons, this course is offered in concentrated form during the second half of the semester. The course will start on *Monday, April 09, 2018*. Some extra information about possible preparation as well as extra references will be posted here later. A related course is "Mathematical Foundations for Finance" (MFF), 401-3913-01. Although both courses can be taken independently of each other, only one will be given credit points for the Bachelor and the Master degree. In other words, it is also not possible to earn credit points with one for the Bachelor and with the other for the Master degree. This course is the first of a sequence of two courses on mathematical finance. The second course "Mathematical Finance" (MF II), 401-4889-00, focuses on continuous-time models. It is advisable that the present course, MF I, is taken prior to MF II. For an overview of courses offered in the area of mathematical finance, see Link. |
Leistungskontrolle
| Information zur Leistungskontrolle (gültig bis die Lerneinheit neu gelesen wird) | |
Leistungskontrolle als Semesterkurs | |
| ECTS Kreditpunkte | 10 KP |
| Prüfende | M. Schweizer |
| Form | Sessionsprüfung |
| Prüfungssprache | Englisch |
| Repetition | Die Leistungskontrolle wird in jeder Session angeboten. Die Repetition ist ohne erneute Belegung der Lerneinheit möglich. |
| Prüfungsmodus | mündlich 30 Minuten |
| Diese Angaben können noch zu Semesterbeginn aktualisiert werden; verbindlich sind die Angaben auf dem Prüfungsplan. | |
Lernmaterialien
| Hauptlink | Introduction to Mathematical Finance |
| Es werden nur die öffentlichen Lernmaterialien aufgeführt. | |
Gruppen
| Keine Informationen zu Gruppen vorhanden. |
Einschränkungen
| Keine zusätzlichen Belegungseinschränkungen vorhanden. |
Angeboten in
| Studiengang | Bereich | Typ | |
|---|---|---|---|
| Data Science Master | Interdisziplinäre Wahlfächer | W |  |
| Mathematik Bachelor | Auswahl: Finanz- und Versicherungsmathematik | W | |
| Mathematik Master | Auswahl: Finanz- und Versicherungsmathematik | W | |