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On Solving the Multirotational Timber Harvesting Problem with Stochastic Prices: A Linear Complementarity Formulation

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Author Info
Margaret Insley
Kimberly Rollins

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Abstract

This article develops a two-factor real options model of the harvesting decision over infinite rotations assuming a known stochastic price process and using a rigorous Hamilton-Jacobi-Bellman methodology. The harvesting problem is formulated as a linear complementarity problem that is solved numerically using a fully implicit finite difference method. This approach is contrasted with the Markov decision process models commonly used in the literature. The model is used to estimate the value of a representative stand in Ontario's boreal forest, both when there is complete flexibility regarding harvesting time and when regulations dictate the harvesting date. Copyright 2005 American Agricultural Economics Association.

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Article provided by American Agricultural Economics Association in its journal American Journal of Agricultural Economics.

Volume (Year): 87 (2005)
Issue (Month): 3 (08)
Pages: 735-755
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Handle: RePEc:bla:ajagec:v:87:y:2005:i:3:p:735-755

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  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. Du, Xiaodong & Hennessy, David A., 2008. "The Planting Real Option in Cash Rent Valuation," Staff General Research Papers 12874, Iowa State University, Department of Economics. [Downloadable!]
  3. 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!]
  4. Thang, Tran Cong & Burton, Michael & Brennan, Donna, 2009. "Optimal replanting and cutting rule for coffee farmers in Vietnam," 2009 Conference (53rd), February 11-13, 2009, Cairns, Australia 47638, Australian Agricultural and Resource Economics Society. [Downloadable!]
  5. Insley, Margaret & Lei, Manle, 2007. "Hedges and Trees: Incorporating Fire Risk into Optimal Decisions in Forestry Using a No-Arbitrage Approach," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 32(03), December. [Downloadable!]
  6. Xiaodong Du & David A. Hennessy, 2008. "Planting Real Option in Cash Rent Valuation, The," Center for Agricultural and Rural Development (CARD) Publications 08-wp463, Center for Agricultural and Rural Development (CARD) at Iowa State University. [Downloadable!]
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This page was last updated on 2009-11-27.


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