Dear all,
On Thursday, 17 May 2018 — at 14:00 — at the Scuola Normale Superiore (Room: Aula Fermi) Prof. Jean Jacod (Université Paris 6, Pierre et Marie Curie) will hold the following Seminar:
Title :
Modeling asset prices: small scale versus large scale
Abstract:
A typical model for the price of financial asset, allowing for explicit or numerical computation
of option prices, hedging, calibration, etc... , describes the price with an horizon of months or years.
In contrast, a very active topic now is concerned with models for tick prices or order books. The
structure of the price at the microscopic level is very di_erent from the structure of the usual (often
continuous) semimartingales used at a macroscopic level. In particular the microscopic prices evolves
on the tick grid, usually going up or down by one tick only. Our aim is to see how it is possible to
reconcile the two viewpoints, using a scaling limit of tick-level price models. We will see that this
question (going back to the thesis of Bachelier, in a sense) raises a number of non trivial questions
if we want a reasonably simple microscopic model, together with a macroscopic model exhibiting
stochastic volatility or jumps or a drift.
(Joint work with Yacine Ait-Sahalia).
Fill free to forward this announcement to your colleagues.
Best
Giulia Livieri
Assegnista di ricerca
Scuola Normale Superiore
Piazza dei Cavalieri, 7, 56126 Pisa PI
room 65