Uncertainty and stepwise investment

We analyze the optimal investment strategy of a firm that can complete a project either in one stage at a single freely chosen time point or in incremental steps at distinct time points. The presence of economies of scale gives rise to the following trade-off: lumpy investment has a lower total cost, but stepwise investment gives more flexibility by letting the firm choose the timing individually for each stage. Our main question is how uncertainty in market development affects this trade-off. The answer is unambiguous and in contrast with a conventional real-options intuition: higher uncertainty makes the single-stage investment more attractive relative to the more flexible stepwise investment strategy

Sequential investment in renewable energy technologies under policy uncertainty

Although innovation and support schemes are among the main forces that drive investment in renewable energy (RE) technologies, both involve considerable uncertainty. We develop a real options framework to analyse the impact of technological, policy and electricity price uncertainty on the decision to invest sequentially in successively improved versions of a RE technology. Technological uncertainty is reflected in the random arrival of innovations, and policy uncertainty in the likely provision or retraction of a subsidy that takes the form of a fixed premium on top of the electricity price. We show that greater likelihood of subsidy retraction (provision) lowers (raises) the incentive to invest, and, by comparing a stepwise to a lumpy investment strategy, we show how an embedded option to adopt an improved technology version mitigates the impact of subsidy retraction on investment timing. Specifically, we show how stepwise investment facilitates earlier technology adoption compared to lumpy investment, and that, under stepwise investment, technological uncertainty accelerates technology adoption, thus further offsetting the incentive to delay investment in the light of subsidy retraction

Stepwise Green Investment under Policy Uncertainty

We analyse how market price and policy uncertainty, in the form of random provision or retraction of a subsidy, interact to affect the optimal time of investment and the size of a renewable energy (RE) project that can be completed in either a single (lumpy investment) or multiple stages (stepwise investment). The subsidy takes the form of a fixed premium on top of the electricity price, and, therefore, investment is subject to electricity price uncertainty. We show that the risk of a permanent retraction (provision) of a subsidy increases (decreases) the incentive to invest, yet lowers (raises) the amount of installed capacity, and that this result is more pronounced as the size of the subsidy increases. Additionally, we show that increasing the number of policy interventions lowers the expected value of a subsidy and the size of the project. Furthermore, we illustrate that, although an increase in the size of a subsidy lowers the relative value of the stepwise investment strategy, the expected value of a lumpy investment strategy is still lower than that of stepwise investment

Irreversible investment in oligopoly

We offer a new perspective on games of irreversible investment under uncertainty in continuous time. The basis is a particular approach to solve the involved stochastic optimal control problems which allows to establish existence and uniqueness of an oligopolistic open loop equilibrium in a very general framework without reliance on any Markovian property. It simultaneously induces quite natural economic interpretation and predictions by its characterization of optimal strategies through first order conditions. The construction of equilibrium policies is then enabled by a stochastic representation theorem. A stepwise specification of the general model leads to further economic conclusions. We obtain explicit solutions for Lévy processes.irreversible investment, stochastic game, oligopoly, real options, equilibrium

Strategic Technology Switching under Risk Aversion and Uncertainty

Firms devising green investment strategies within a deregulated environment must take into account not only economic and technological uncertainty, but also strategic interactions due to competition. Also, further complicating green investment decisions is the fact that firms are likely to exhibit risk aversion, since alternative energy technologies entail risk that cannot be diversified. Therefore, we develop a utility-based, real options framework for pre-emptive and non-pre-emptive competition in order to analyse how economic and technological uncertainty interact with risk aversion to impact the adoption of an existing technology in the light of uncertainty over the arrival of an improved version. We confirm that greater risk aversion delays investment and show that technological uncertainty accelerates the follower’s entry, delays the entry of the pre-emptive leader, and, intriguingly, does not affect the non-pre-emptive leader’s investment decision. Also, we show how the relative loss in the leader’s value due to the follower’s entry is affected by economic and technological uncertainty as well as risk aversion, and how the risk of pre-emption under increasing economic uncertainty raises the value of direct investment in the new technology relative to stepwise investment

Investing in Time-to-Build Projects With Uncertain Revenues and Costs: A Real Options Approach

Lagging public-sector investment in infrastructure and the deregulation of many industries mean that the private sector has to make decisions under multiple sources of uncertainty. We analyze such investment decisions by accounting for both multiple sources of uncertainty and the time-to-build aspect. The latter feature arises in the energy and transportation sectors, because investors can decide the rate at which the project is completed. Furthermore, two explicit sources of uncertainty represent the discounted cash inflows and outflows of the completed project. We use a finite-difference scheme to solve numerically the option value and the optimal investment threshold. Somewhat counterintuitively, with a relatively long time to build, a reduction in the growth rate of the discounted operating cost may actually lower the investment threshold. This is contrary to the outcome when the stepwise aspect is ignored in a model with uncertain price and cost. Hence, research and development efforts to enhance emerging technologies may be more relevant for infrastructure projects with long lead times

SEQUENTIAL INVESTMENT IN SITE-SPECIFIC CROP MANAGEMENT UNDER OUTPUT PRICE UNCERTAINTY

An option-value model is developed to analyze the impacts of output price uncertainty, high sunk costs of adoption, and site-specific conditions on the optimal timing of adoption of two interrelated site-specific technologies, soil testing and variable rate technology (VRT). The model incorporates the potential for adopting these two technologies jointly or sequentially. The implications of the pattern of adoption for nitrogen pollution and for the design of a cost-share subsidy policy to accelerate the adoption of these technologies to reduce nitrogen pollution are also analyzed. Ignoring the potential for sequential adoption would tend to underpredict the adoption so soil testing and overpredict the adoption of VRT. Cost-share subsidies to induce accelerated adoption of VRT would be most effective at reducing nitrogen pollution if targeted toward fields with relatively high spatial variability in soil quality or soil fertility, and either low average soil quality or low average soil fertility.Demand and Price Analysis,

SEQUENTIAL INVESTMENT IN SITE-SPECIFIC CROP MANAGEMENT UNDER OUTPUT PRICE UNCERTAINTY: IMPLICATIONS FOR NITROGEN POLLUTION CONTROL

This paper develops an option value model to examine the extent to which output price uncertainty creates incentives to adopt two interrelated components of site-specific technologies sequentially. It analyzes how the impact of uncertainty on the sequential adoption decision differs across heterogeneous soil conditions, and examines the implications of adoption for nitrogen pollution generation and for the design of a cost-share subsidy policy.Environmental Economics and Policy, Research and Development/Tech Change/Emerging Technologies, Research Methods/ Statistical Methods,

Migration to next generation access networks: a real option approach

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