most citedA Note on Utility Indifference Pricing with Delayed Information

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8 papers

q-fin.MF20201 cited

A Note on Utility Indifference Pricing with Delayed Information

Peter Bank, Yan Dolinsky

We consider the Bachelier model with information delay where investment decisions can be based only on observations from time units before. Utility indifference prices are st…

math.PR2018

On a Stochastic Representation Theorem for Meyer-measurable Processes and its Applications in Stochastic Optimal Control and Optimal Stopping

Peter Bank, David Besslich

In this paper we study a representation problem first considered in a simpler version by Bank and El Karoui [2004]. A key ingredient to this problem is a random measure on the…

math.OC2018

Modelling information flows by Meyer--fields in the singular stochastic control problem of irreversible investment

Peter Bank, David Besslich

In stochastic control problems delicate issues arise when the controlled system can jump due to both exogenous shocks and endogenous controls. Here one has to specify what the cont…

math.PR2018

On Lenglart's Theory of Meyer-sigma-fields and El Karoui's Theory of Optimal Stopping

Peter Bank, David Besslich

We summarize the general results of El Karoui [1981] on optimal stopping problems for processes which are measurable with respect to Meyer--fields. Meyer--fields are due to L…

q-fin.MF2018

Scaling Limits for Super--replication with Transient Price Impact

Peter Bank, Yan Dolinsky

We prove a scaling limit theorem for the super-replication cost of options in a Cox--Ross--Rubinstein binomial model with transient price impact. The correct scaling turns out to k…

math-ph2018

Photonic systems with two-dimensional landscapes of complex refractive index via time-dependent supersymmetry

Alonso Contreras-Astorga, Vit Jakubský

We present a framework for the construction of solvable models of optical settings with genuinely two-dimensional landscapes of refractive index. The solutions of the associated no…