在代际背景下,收益和成本应该如何贴现?

M. Cropper
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引用次数: 57

摘要

政府在贴现公共项目的未来收益和成本时,是否应该使用一个随时间下降的贴现率?支持折现率下降的理由很简单:如果未来应用的折现率是持续的,如果分析师可以为这些折现率分配概率,这将导致确定性等效折现率的下降时间表。越来越多的实证文献估计了长期利率模型,并用它们来预测下降的贴现率时间表。我简要地回顾了这些文献,重点是美国的模式。然而,这些文献因缺乏与项目评估理论的联系而受到批评。在成本效益分析中,一个项目在第t年的净效益(以消费单位为单位)将以社会将第t年的消费兑换为当前消费的比率折现。通过简化假设,这就引出了拉姆齐折现公式。如果消费的增长率是不确定的,如果消费的冲击随时间的推移是相关的,拉姆齐公式会导致确定性当量贴现率下降。然而,使用扩展的拉姆齐公式来估计确定性等效贴现率的数值时间表是具有挑战性的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
How Should Benefits and Costs Be Discounted in an Intergenerational Context?
Should governments, in discounting the future benefits and costs of public projects, use a discount rate that declines over time? The argument for a declining discount rate is a simple one: if the discount rates that will be applied in the future are persistent, and if the analyst can assign probabilities to these discount rates, this will result in a declining schedule of certainty-equivalent discount rates. A growing empirical literature estimates models of long-term interest rates and uses them to forecast the declining discount rate schedule. I briefly review this literature, focusing on models for the United States. This literature has, however, been criticized for a lack of connection to the theory of project evaluation. In cost-benefit analysis, the net benefits of a project in year t (in consumption units) are to be discounted to the present at the rate at which society would trade consumption in year t for consumption in the present. With simplifying assumptions, this leads to the Ramsey discounting formula. The Ramsey formula results in a declining certainty-equivalent discount rate if the rate of growth in consumption is uncertain and if shocks to consumption are correlated over time. Using the extended Ramsey formula to estimate a numerical schedule of certainty-equivalent discount rates is, however, challenging.
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