Efficiency properties of binary ecolabeling

We investigate efficiency properties of binary ecolabels in a homogeneous good market with heterogeneous consumers. Faced with the minimum technology standard, firms make endogenous entry, certification, and price/quantity decisions. We consider both perfect and imperfect competition with or without sunk fixed costs. Our findings are as follows. Ecolabeling alone does not achieve the first-best outcome and, to achieve the second best, may need to set the standard less strict than the efficient level. Without sunk fixed costs, ecolabeling can achieve the first-best outcome provided that both the technology standard and the complementary pollution tax are set at efficient levels. With sunk fixed costs, however, differential excise taxes that would restore allocative efficiency induce more entry than optimal, and thus, can be even welfare decreasing relative to no tax outcome. Tightening the technology standard may ameliorate such an adverse effect of the corrective tax system by reducing excessive entry and pollution per output by the certified firms.     

Corporate social responsibility and strategic relationships

We analyze a delegation game relevant to the conduct of corporate social responsibility (CSR) in which the firm’s owner offers the manager a contract consisting of firm profit and social welfare. We derive three results that distinctly differ from existing findings. First, CSR decisions are strategic complements for firms. Second, with simultaneous CSR decisions, the equilibrium price is equal to marginal cost, despite the fact that firms compete in a Cournot duopoly. Finally, with sequential CSR decisions, unlike the follower firm, the leader firm never exhibits CSR. However, the follower firm can enjoy a profit equal to that derived by the leader in a Cournot–Stackelberg game.     

An Explicit Finite Difference Approach to the Pricing Problems of Perpetual Bermudan Options

The pricing problem of options with an early exercise feature, such as American options, is one of the important topics in mathematical finance. Pricing formulas for options with the early exercise feature, however, are not easy to obtain and the numerical methods are thus frequently required to derive the price of these options. The value function of perpetual Bermudan options is characterized with the partial differential equation and this is solved by the finite difference method in this article.     

Pricing American Put Options on Defaultable Bonds

In the last two decades, the market of credit derivativeshas expanded rapidly, and the importance of pricing problemsfor credit derivatives has been recognized especially in the last decade.Among these securities, the pricing problems of credit derivativeswith an early exercise, such as American put options,have not received enough attention. In view of this need, this paper develops a continuous stochastic modelof American put options on defaultable bonds.The method of obtaining a solution is based on a new result of the optimalstopping problem for a diffusion process with a jump.Some characterizations of American put options are providedusing partial differential equations.     

A framework for estimating willingness-to-pay to avoid endogenous environmental risks

This paper proposes a general empirical strategy to estimate willingness-to-pay (WTP) for exogenous risk mitigation when environmental risks are endogenous in protective actions and consumers are imperfectly informed about the ambient risk levels. The strategy consists of a set of survey techniques and the dummy endogenous variable model (Heckman, 1978) to control for correlation in unobserved errors that enter the WTP equation and the protection-decision equation. The method is applied to the non-market valuation survey data on arsenic contamination in drinking water. Our results indicate that the estimated WTPs are significantly higher for households without self-protective action. Our approach thus offers not only the correct welfare estimate for exogenous reduction of environmental risks, but also yields policy implications qualitatively much different from the conventional approach. We also estimate the welfare value of the policy to inform and educate the public about the arsenic risk simultaneously with public risk mitigation. The estimated welfare value is similar to, though slightly higher than, that of risk mitigation without information component. This occurs due to the competing effects of information dissemination and risk mitigation efforts.     

Environmental risk and welfare valuation under imperfect information

Consumers are often uninformed, or unsure, about the ambient level of environmental risk. An optimal policy must jointly determine efficient levels of self-protection, information provision, and public risk mitigation efforts. Unfortunately, conventional welfare measures are not amenable to welfare analysis in the presence of imperfect information. We develop a theoretical welfare measure, called quasi-compensating variation, that is a natural extension of compensating variation (CV). We show that this welfare measure offers not only a money metric of the “value of information,” but also a means to appropriately evaluate the welfare effects of various policies when consumers are imperfectly informed about ambient risk. This welfare measure allows us to obtain a number of results that the traditional CV measure fails to offer. In particular, we show that the consumer’s willingness to pay for a (small) environmental risk reduction is higher for those who underestimate ambient risk than for those who overestimate or are perfectly informed if the marginal return to self-protection increases with ambient risk.     

An Analysis of Income Distribution between the North and the South: the Grossman–Helpman and Lai Results Re‐examined*

This paper studies the effects of labor supply on relative wages in a dynamic North–South model of trade. Lai (1995 )—a generalization of the Grossman and Helpman (1991a,b , ch. 11) models—showed that the relative wage of skilled (unskilled) labor in a region is positively (negatively) related to the supply of skilled (unskilled) labor in that region. These surprising results depend crucially on the specification of the functional form of the Southern imitation activity. We will show that these results (except for the relative wage of unskilled labor in Lai) are reversed in the case where the productivity of imitation depends only on the number of products the North manufactures.     

Innovation,Imitation, and Intellectual Property Rights with International Capital Movement

This paper extends the established Helpman (1993 ) model by introducing international capital movement, and obtains new results concerning the welfare implications of tightening intellectual property rights (IPR) in the South. First, if separated capital markets in the North and the South are integrated, enforcement of IPR would have more desirable welfare effects in both regions. Second, when international capital movement is allowed, the North always gains from the tightening of IPR if the imitation rate is sufficiently high. This implies that the North's demand on the South to tighten IPR becomes stronger as the integration of international capital markets progresses.     

Pricing Derivatives using the Asymptotic Expansion Approach: Credit Migration Models with Stochastic Credit Spreads

The purpose of this paper is to evaluate the asymptotic approximation formulas for the price of contingent claims with credit risk, such as credit default swaps and options on defaultable bonds, in a Markovian credit migration model. Often the generator matrix of a credit migration process is assumed to be deterministic; however, a stochastically varying generator matrix is used in this paper. To apply such a model to the valuation of options on defaultable bonds, the small disturbance asymptotic expansion approach of Kunitomo and Takahashi is used in this study.