Please use this identifier to cite or link to this item:
Year of Publication: 
Series/Report no.: 
Center for Mathematical Economics Working Papers No. 531
Bielefeld University, Center for Mathematical Economics (IMW), Bielefeld
In this paper we provide a complete theoretical analysis of a two-dimensional degenerate non convex singular stochastic control problem. The optimisation is motivated by a storage-consumption model in an electricity market, and features a stochastic real-valued spot price modelled by Brownian motion. We find analytical expressions for the value function, the optimal control and the boundaries of the action and inaction regions. The optimal policy is characterised in terms of two monotone and discontinuous repelling free boundaries, although part of one boundary is constant and and the smooth fit condition holds there.
finite-fuel singular stochastic control
optimal stopping
free boundary
Hamilton-Jacobi-Bellmann equation
irreversible investment
electricity market
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

Files in This Item:
613.92 kB

Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.