Abstract

This paper is focused on searching for the suitable discount rate to be applied to the valuation of a project related to forests in the USA, e.g., a recreational area inside a national park. To do this, we propose a new model based on hazard rate concepts, i.e., based on the risk that waiting time implies. More specifically, we derive the discount function whose instantaneous discount rate is the hazard rate of the system supporting the investment. We determine the rate of failure corresponding to different partition criteria of the whole system; in our case, we can use the information on forest fires caused in different ways, in different states or in different types of forest surfaces. After showing independence between the forest fires by states and causes, we derive a specific discount function for each cause which can be applied to every state or set of states which agree to fight against a concrete cause of forest fire. Additionally, we obtain a unique discount function by weighting the partial discount functions by type of forest surfaces. Our results are in line with the recommendations from several authors about using decreasing discount rates for projects with very long-term impacts.

Highlights

  • When we face the problem of valuing a public project, there are two important problems to deal with

  • In [3], we find an interesting application of this opportunity cost of capital method to obtain an appropriate social discount rate to appraise public forestry investments

  • There are interesting proposals of risk-adjusted social discount rates [19,21] which build on the Weitzman approach [22,23] consisting of a linear decomposition of the project returns into one part that is correlated with the overall economic activity, and another part that is independent of it, having as a result discount rates declining over time at a rate which depends on the portion of covariant risk

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Summary

Introduction

When we face the problem of valuing a public project, there are two important problems to deal with. The UK Green Book [9] proposes a SDR of 3.5% (based on the calculation of the social time preference rate) It establishes a decreasing sequence of rates for projects with very long-term impacts (more than 30 years), and the circumstances where exceptions to the recommended rates are allowed. In the appraisal of very long-term projects, like environmental projects, with impacts on future generations, several authors have proposed time declining discount rates Against this single rate hegemony, dissident voices have been raised for many years. There are interesting proposals of risk-adjusted social discount rates [19,21] which build on the Weitzman approach [22,23] consisting of a linear decomposition of the project returns into one part that is correlated with the overall economic activity, and another part that is independent of it, having as a result discount rates declining over time at a rate which depends on the portion of covariant risk.

The Hazard Rate Approach
US Land Management and Forest Fire Data
BLM firefire data byby state ininthe
USFS fire inthe theperiod period
Data Selection and Analysis
Analysis of the Variables Involved in Forest Fires
Calculation of Discount Rates
Findings
Conclusions
Full Text
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