Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/on-the-infinite-dimensional-representation-of-stochastic-controlled-phy1D1oK02
References
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
- Publisher
- de Gruyter
- Copyright
- Copyright © 2014 by the
- ISSN
- 2195-4615
- eISSN
- 2195-4623
- DOI
- 10.1515/mel-2014-0011
- Publisher site
- See Article on Publisher Site
Abstract
Abstract In the deterministic context a series of well established results allow to reformulate delay differential equations (DDEs) as evolution equations in infinite dimensional spaces. Several models in the theoretical economic literature have been studied using this reformulation. On the other hand, in the stochastic case only few results of this kind are available and only for specific problems. The contribution of the present letter is to present a way to reformulate in infinite dimension a prototype controlled stochastic DDE, where the control variable appears delayed in the diffusion term. As application, we present a model for quadratic risk minimization hedging of European options with execution delay and a time-to-build model with shock. Some comments concerning the possible employment of the dynamic programming after the reformulation in infinite dimension conclude the letter.
Journal
Mathematical Economics Letters – de Gruyter
Published: Nov 30, 2014