# 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 |