The conventional formula for the optimal export tax (derived from a partial equilibrium model that ignores importers’ welfare) is extended to include the deadweight loss to the domestic economy associated with the tax. Applying the extended formula to the tax Russia imposes on its exports of logs, results suggest ignoring the marketing channel causes the optimal export tax for a primary commodity to be understated. The degree of understatement increases as the supply of logs and processing/marketing inputs become less price elastic, and as buyer and seller power in the downstream (lumber) industry increases. For plausible values of model parameters, however, the degree of understatement is modest, less than 19%.

中文翻译：

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垂直市场中初级商品的最佳出口税

最佳出口税的传统公式（源自忽略进口商福利的部分均衡模型得出）被扩展为包括与税收相关的国内经济的无谓损失。将扩展的公式应用于俄罗斯对其原木出口征收的税收，结果表明，忽略营销渠道会导致低估初级商品的最佳出口税。轻描淡写的程度随着原木供应和加工/市场投入的价格弹性降低，以及下游（木材）行业的买方和卖方力量增加而增加。但是，对于模型参数的合理值，轻描淡写的程度是适度的，不到19％。