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An Analytical Optimal Strategy of the Forest Asset Dynamic Management under Stochastic Timber Price and Growth: A Portfolio Approach
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Abstract
Considering the valuation of forest stands based on revenue from wood sales, concession policy (such as carbon sub- sidies) and associated costs, the paper focuses on the stochastic control model to study the forest asset dynamic manage- ment. The key contribution is to find the optimal dynamic strategy about harvesting quantity in the continual and multiple periods in conditions of stochastic commodity price and timber growth by using portfolio approach. Finally, an analytical optimal strategy is obtained to analyze the quantification relations through which some important conclusions about the optimal forest management can be drawn.
KeywordsForest ManagementAnalyticalStochastic Price and GrowthPortfolioCarbon Subsidies
- G. Guthrie and D. Kumareswaran, “Carbon Subsidies, Taxes and Optimal Forest Management,” Environmental and Resource Economics, Vol. 43, No. 2, 2009, pp. 275- 293.
- J. W. Xiao, W. X. Kang and S. H. Yin, “A Stochastic Model and a Portfolio Approach to the Optimal Forest Management,” 3rd International Conference on Business Intelligence and Financial Engineering, Hong Kong, 2010, pp. 201-204.
- K. Rocha, R. B. A. Moreira, E. J. Reis and L. Carvalho, “The Market Value of Forest Concessions in the Brazilian Amazon: A Real Option Approach,” Forest Policy and Economics, Vol. 8, No. 2, 2006, pp. 149-160.
- Z. Chladná, “Determination of Optimal Rotation Period under Stochastic Wood and Carbon Prices,” Forest Policy and Economics, Vol. 9, No. 8, 2007, pp. 1031-1045.
- M. Insley, “A Real Options Approach to the Valuation of a Forestry Investment,” Journal of Environmental Economics and Management, Vol. 44, No. 3, 2002, pp. 471-492.
- L. H. R. Alvarez and E. Koskela, “Optimal Harvesting under Resource Stock and Price Uncertainty,” Journal of Economic Dynamics and Control, Vol. 31, No. 7, 2007, pp. 2461-2485.
- F. Lu and P. Gong, “Optimal Stocking Level and Final Harvest Age with Stochastic Prices,” Journal of Forest Economics, Vol. 9, No. 2, 2003, pp. 119-136.
- R. Morck, E. Schwartz and D. Stangeland, “The Valuation of Forestry Resources under Stochastic Prices and Inventories,” Journal of Financial and Quantitative Ana- lysis, Vol. 24, No. 4, 1989, pp. 473-487.
- M. C. Insley and T. S. Wirjanto, “Contrasting Two Approaches in Real Options Valu-ation: Contingent Claims Versus Dynamic Programming,” Working paper, No. 08002, 2008.
- J. W. Xiao, H. Zhai and C. L. Qin, “The Constant Elasticity of Variance (CEV) Model and Legendre Transform- Dual Solution for Annuity Contracts,” Insurance: Mathematics and Economics, Vol. 40, No. 2, 2007, pp. 302-310.
- J. W. Xiao, S. H. Yin and C. L. Qin, “The Constant Elasticity of Variance (CEV) Model and the Analytical Strategies for Annuity Contracts,” Applied Mathematics and Mechanics, Vol. 27, No. 11, 2006, pp. 1499-1506.