113This note studies the influence of a financial transaction tax and transaction costs on the optimal production and hedging strategies of a duopoly. Firms are exposed to demand uncertainty that leads to price risk and can hedge their risk exposure on a forward market. However, the forward position is subject to transaction costs. We investigate two settings: first, we explore the Cournot duopoly with a simultaneous hedging opportunity; second, we analyze the case with a sequential forward market. We show that in both settings transaction costs lead to a less competitive market and that prices increase as the producers limit their output.
IntroductionAs a consequence of the recent financial crisis, the European Commission discusses the introduction of a financial transaction tax (FTT). The exchange of shares and bonds would be taxed at a rate of 0.1%, while derivative contracts would be subject to a 0.01% tax rate. We study the impact of such a financial transaction tax and transaction costs in general on the optimal production and corporate hedging decision of a duopoly. We analyze whether the existence of transaction costs influences the market equilibrium. To perform the analysis, we study a Cournot duopoly because many product markets are dominated by only two firms. Firms are exposed to uncertain demand. This demand uncertainty leads to price risk.However, firms are able to hedge their risk exposure on a forward market. We regard a simultaneous setting as well as a sequential setting. We show that in both cases, firms decrease their production level.