Video Description
A Talk from Annual Conference 2024
It is argued that in a variety of ways randomness plus path continuity is a strange and almost contradictory request. Attention is then turned to discontinuous continuity approximations with financially relevant results being delivered by finite activity processes of finite variation. The CGMY model is employed to decompose stochastic volatility into stochasticity in speed, scale and the degree of continuity. The bilateral gamma model is used to relate risk premia to the degree of continuity as measured by the speed and scale coefficients. Rescaling mechanisms are introduced to recover return distributions from option prices that are useful for investment analysis.
Speaker Bio
Professor Dilip Madan
Dilip Madan is Professor Emeritus of Mathematical Finance at the Robert H. Smith School of Business. Currently he serves as a consultant to Morgan Stanley, and Norges Bank Investment Management. He is a founding member and past President of the Bachelier Finance Society. He received the 2006 von Humboldt award in applied mathematics, was the 2007 Risk Magazine Quant of the year, received the 2008 Medal for Science from the University of Bologna, held the 2010 Eurandom Chair and is the IAQF Financial Engineer of the Year 2021. He has published over 200 papers and serves on the Advisory Board of Frontiers of Mathematical Finance and as a Director of the Scientific Association of Mathematical Finance.