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Hedges and Trees: Incorporating Fire Risk into Optimal Decisions in Forestry Using a No-Arbitrage Approach

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Author Info
Insley, Margaret
Lei, Manle

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Abstract

This paper investigates the impact of including the risk of fire in an optimal tree harvesting model at the stand level, assuming timber prices follow a mean-reverting stochastic process. The relevant partial differential equation is derived under different assumptions about hedging the risk of fire. The assumption that fire risk is fully diversifiable is contrasted with the assumption that it can be hedged with another asset. It is conjectured that the risk-neutral probability of fire exceeds the historical probability of fire, which will affect forest land valuation. An empirical example is presented for two different silvicultural regimes.

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File URL: http://purl.umn.edu/7084
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Publisher Info
Article provided by Western Agricultural Economics Association in its journal Journal of Agricultural and Resource Economics.

Volume (Year): 32 (2007)
Issue (Month): 03 (December)
Pages:
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Handle: RePEc:ags:jlaare:7084

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Web page: http://waeaonline.org/
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Related research
Keywords: fire risk; forest value; hedging; jumps; no-arbitrage; optimal harvesting; Poisson process; real options; Resource /Energy Economics and Policy;

References listed on IDEAS
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  1. McGough, Bruce & Plantinga, Andrew J. & Provencher, William, 2002. "The Dynamic Behavior of Efficient Timber Prices," Staff Paper Series 454, University of Wisconsin, Agricultural and Applied Economics. [Downloadable!]
  2. Margaret Insley & Kimberly Rollins, 2005. "On Solving the Multirotational Timber Harvesting Problem with Stochastic Prices: A Linear Complementarity Formulation," American Journal of Agricultural Economics, American Agricultural Economics Association, vol. 87(3), pages 735-755, 08. [Downloadable!] (restricted)
  3. Margaret Insley & Tony Wirjanto, 2008. "Contrasting two approaches in real options valuation: contingent claims versus dynamic programming," Working Papers 08002, University of Waterloo, Department of Economics. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Margaret Insley & Tony Wirjanto, 2008. "Contrasting two approaches in real options valuation: contingent claims versus dynamic programming," Working Papers 08002, University of Waterloo, Department of Economics. [Downloadable!]
  2. Shan Chen & Margaret Insley, 2008. "Regime switching in stochastic models of commodity prices: An application to an optimal tree harvesting problem," Working Papers 08003, University of Waterloo, Department of Economics. [Downloadable!]
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This page was last updated on 2009-11-26.


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