## Martin Larsson: Catalogue data in Autumn Semester 2018 |

Name | Dr. Martin Larsson |

Field | Mathematical Finance |

martin.larsson@math.ethz.ch | |

URL | http://www.math.ethz.ch/~larssonm |

Department | Mathematics |

Relationship | Assistant Professor |

Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|

364-1058-00L | Risk Center Seminar Series Number of participants limited to 50. | 0 credits | 2S | B. Stojadinovic, D. Basin, A. Bommier, D. N. Bresch, L.‑E. Cederman, P. Cheridito, H. Gersbach, H. R. Heinimann, M. Larsson, G. Sansavini, F. Schweitzer, D. Sornette, B. Sudret, U. A. Weidmann, S. Wiemer, M. Zeilinger, R. Zenklusen | |

Abstract | This course is a mixture between a seminar primarily for PhD and postdoc students and a colloquium involving invited speakers. It consists of presentations and subsequent discussions in the area of modeling complex socio-economic systems and crises. Students and other guests are welcome. | ||||

Objective | Participants should learn to get an overview of the state of the art in the field, to present it in a well understandable way to an interdisciplinary scientific audience, to develop novel mathematical models for open problems, to analyze them with computers, and to defend their results in response to critical questions. In essence, participants should improve their scientific skills and learn to work scientifically on an internationally competitive level. | ||||

Content | This course is a mixture between a seminar primarily for PhD and postdoc students and a colloquium involving invited speakers. It consists of presentations and subsequent discussions in the area of modeling complex socio-economic systems and crises. For details of the program see the webpage of the colloquium. Students and other guests are welcome. | ||||

Lecture notes | There is no script, but a short protocol of the sessions will be sent to all participants who have participated in a particular session. Transparencies of the presentations may be put on the course webpage. | ||||

Literature | Literature will be provided by the speakers in their respective presentations. | ||||

Prerequisites / Notice | Participants should have relatively good mathematical skills and some experience of how scientific work is performed. | ||||

401-4912-11L | Trends in Stochastic Portfolio Theory | 4 credits | 2V | M. Larsson | |

Abstract | This course presents an introduction to Stochastic Portfolio Theory, which provides a mathematical framework for studying and exploiting empirically observed regularities of large equity markets. A central goal of the theory is to describe certain forms of arbitrage that arise over sufficiently long time horizons. | ||||

Objective | |||||

Content | This course presents an introduction to Stochastic Portfolio Theory, which provides a mathematical framework for studying and exploiting empirically observed regularities of large equity markets. A central goal of the theory is to describe certain forms of arbitrage that arise over sufficiently long time horizons. Since it was first introduced by Robert Fernholz almost 20 years ago, the theory has experienced rapid developments. This course will cover the foundations of Stochastic Portfolio Theory, including topics like relative arbitrage, functional portfolio generation, and capital distribution curves, as well as more recent developments. | ||||

Prerequisites / Notice | Prerequisites: Familiarity with Ito calculus at the level of Brownian Motion and Stochastic Calculus. Some background in mathematical finance is helpful. A course with similar content was offered in HS 2015 under the title "New Trends in Stochastic Portfolio Theory". |