Preventing Environmental Disasters in Investment under Uncertainty

The paper considers a firm that has the option to invest in a project with an unknown profitability, which is affected by general market uncertainty. The project has the adverse effect that it can cause environmental damage. In case the firm has the option to undertake preventive investment at the time of market entry, we get that preventive investment is significant when (i) the project revenue is large, (ii) the environmental incidents potentially cause a huge reduction of firm value, and (iii) when preventive investment substantially decreases the probability of environmental damage occurrence. The optimality of such a preventive investment results in a significant delay of the project investment. When the firm has the possibility to invest in the project first and do the preventive investment later, this will accelerate the project investment and will result in a larger preventive investment when it indeed will decide to do that one later.

Impact of Plant Utilization on Irreversible Investment Under Uncertainty with Application to Refinery Investment

Why are some regions preferred when investors consider irreversible investment? This study offers an explanation to this question and suggests improvements that will assist disadvantaged regions improve on their bid for funds. The paper considers irreversible investment under uncertainty when installed capacity utilization is incorporated. We develop a normative model for irreversible investment problem under uncertainty using real options approach. Capacity utilization was not a major consideration by previous authors who assumed that installed capacity would be fully utilized. Variations in capacity utilization may be attributed to disruption in input supply or infrastructural bottlenecks that limit firms to get their products to customers. This study modifies the geometric Brownian motion for the value of a project to account for capacity utilization in the derivation of irreversible investment decision rule. The proposed model provides a theoretical explanation of how utilization affects irreversible investment decisions. Data on petroleum refinery margins is used to illustrate application of the proposed model to refinery investment. The study reveals that capacity utilization has an inverse effect on the investment trigger, and so, links irreversible investment decisions to plant utilization. We recommend optimal utilization of installed plant capacity for regions seeking funds for irreversible investment.

A Nonlinear System Related to Investment under Uncertainty Solved using the Fractional Pseudo-Newton Method

A nonlinear algebraic equation system of two variables is numerically solved, which is derived from a nonlinear algebraic equation system of four variables, that corresponds to a mathematical model related to investment under conditions of uncertainty. The theory of investment under uncertainty scenarios proposes a model to determine when a producer must expand or close, depending on his income. The system mentioned above is solved using a fractional iterative method, valid for one and several variables, that uses the properties of fractional calculus, in particular the fact that the fractional derivatives of constants are not always zero, to find solutions of nonlinear systems.

Does the Market Correctly Value Investment Options?*

This paper shows that the stock market misprices firms’ investment options. We build a real options model of optimal investment under uncertainty to estimate the value of firms’ investment options. We show that firms with valuable investment options have a higher likelihood of being mispriced. Importantly, this mispricing is not one-sided, as such firms are equally likely to be undervalued or overvalued. Our paper adds to the debate on whether public equity markets are myopic and systematically undervalue innovative firms. We show that this is not necessarily the case.