Financial/Actuarial Mathematics Seminar
A Scaling Limit for Utility Indifference Prices in the Discretized Bachelier Model
Wednesday, April 21, 2021
4:00-5:00 PM
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Off Campus Location
We consider the discretized Bachelier model where hedging is done on an equidistant set of times. Exponential utility indifference prices are studied for path-dependent European options and we compute their non-trivial scaling limit for a large number of trading times $n$ and when risk aversion is scaled like $n\ell$ for some constant $\ell>0$. Our analysis is purely probabilistic. We first use a duality argument to transform the problem into an optimal drift control problem with a penalty term. We further use martingale techniques and strong invariance principles and get that the limiting problem takes the form of a volatility control problem.
(Joint work with Yan Dolinsky)
Speaker(s): Asaf Cohen (UM)
(Joint work with Yan Dolinsky)
Speaker(s): Asaf Cohen (UM)
Building: | Off Campus Location |
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Location: | Virtual |
Event Type: | Workshop / Seminar |
Tags: | Mathematics |
Source: | Happening @ Michigan from Department of Mathematics, Financial/Actuarial Mathematics Seminar - Department of Mathematics |