Investment Decisions with Two-Factor Uncertainty
Compernolle, Tine; Huisman, Kuno J.M.; Kort, Peter M.; Lavrutich, Maria; Nunes, Cláudia; Thijssen, Jacco J.J.
Peer reviewed, Journal article
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Date
2021Metadata
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Abstract
This paper considers investment problems in real options with non-homogeneous two-factor uncertainty. We derive some analytical properties of the resulting optimal stopping problem and present a finite difference algorithm to approximate the firm’s value function and optimal exercise boundary. An important message in our paper is that the frequently applied quasi-analytical approach underestimates the impact of uncertainty. This is caused by the fact that the quasi-analytical solution does not satisfy the partial differential equation that governs the value function. As a result, the quasi-analytical approach may wrongly advise to invest in a substantial part of the state space.