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Finance and Stochastics

, Volume 15, Issue 4, pp 607–633 | Cite as

On irreversible investment

  • Frank Riedel
  • Xia Su
Article

Abstract

This paper presents a new and general approach to the theory of irreversible investment. We show that the optimal policy is a base capacity policy and derive general monotone comparative statics results. When the operating profit function is supermodular, the base capacity increases monotonically with the exogenous shock; and firm size is decreasing in the user cost of capital. Last but not least, the paper provides a general existence theorem for optimal policies.

Keywords

Sequential irreversible investment Capacity expansion Singular control problem Lévy processes 

Mathematics Subject Classification (2000)

91B28 34H05 49J30 93E20 

JEL Classification

C61 D81 E22 G11 

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Institute of Mathematical EconomicsBielefeld UniversityBielefeldGermany
  2. 2.GRA RMT Model Validation RatesCommerzbank AGFrankfurtGermany

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