Equilibrium pricing of contingent claims in tradable permit markets

We advance a model of the tradable permit market and derive a pricing formula for contingent claims traded in the market in a general equilibrium framework. It is shown that prices of such contingent claims exhibit significantly different properties from those in the ordinary financial markets. In particular, if the social cost function kinks at some level of abatement, the forward price, as well as the spot price, can be subject to the so‐called price spike. However, this price‐spike phenomenon can be weakened if a system of banking and borrowing is properly introduced. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 30:559–589, 2010     

EKC-type transitions and environmental policy under pollutant uncertainty and cost irreversibility

Previous studies have suggested that some pollutant levels first increases due to the economic growth and then start decreasing, the pattern being called the “environmental Kuznets curve” (EKC). We examine EKC-type transitions of pollutant levels not with respect to economic growth but more generally in time. Assuming that each policy maker optimally executes the two switching options of regulation and unregulation for pollution, the switching dynamics of environmental policy can be described by an alternating renewal process. It is shown that the double Laplace transform of transition density of a pollutant level can be obtained by a novel application of renewal theory. The expected level of overall pollutants is then calculated numerically and found to exhibit either a Λ‐shaped or an N-shaped pattern in time. Our results present a simple explanation for the EKC-type transitions of pollutant levels within a real options framework.     

Compensation measures for alliance formation: A real options analysis

This paper presents a real options model of alliance formation between two firms for entry into a new market. We analyze how different compensation measures affect the alliance timing and option values. Generally, when profit structures of the two firms before and after an alliance are different, their individually optimal alliance timings do not coincide. Therefore, achieving an agreement on a common alliance timing becomes an important issue. To promote alliance formation, we examine two feasible compensation measures provided by one firm to the other: share adjustment (flow compensation) and subsidy (lump-sum compensation). We find that subsidy induces an earlier alliance, although share adjustment is Pareto optimal in terms of the joint option value.     

Pricing of discount bonds with a Markov switching regime

We consider a Markov switching regime and price a discount bond using a CIR-type short rate model. An explicit formula is obtained for the bond price which includes the solution of a matrix ODE. Our model is easy to calculate and captures the effect of regime uncertainty in the price and term structure.     

Insider trading with correlation between liquidity trading and a public signal

We analyse a Kyle-type continuous-time market model in which liquidity trading is correlated with a noisy public signal that is released continuously. We show that, in contrast to the previous literature, Kyle's λ, the price sensitivity to the order flow, can even be non-monotonic, depending on the correlation structure. We also show that the introduction of an additional public signal does not necessarily improve the informational efficiency of the market, depending on the correlation.     

Regime uncertainty and optimal investment timing

We construct a real options model in which a regime change is expected at a pre-determined future time and study the effects of regime uncertainty on a firm's strategic investment decision, taking into consideration the remaining time to the regime change and the probability of each regime state. We show that just before the time of a regime change, firms should act as if the worst-case scenario was about to happen, even if a good state is highly possible.