Optimal Harvesting under Resource Stock and Price Uncertainty
We analyze optimal harvesting policy under stochastic price and stock dynamics. We state a set of weak conditions under which the optimal policy can be characterized by a single exercise threshold and show that the value of optimal harvesting and depletion policies can be expressed as the separable form according to which only the current price and the expected per capita growth rate affect the threshold, while under risk neutrality volatility of price dynamics will have no effect. Uncertainty makes waiting valuable and the optimal threshold is higher when harvesting can be exercised only once than in the sequential case.
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- Luis Alvarez & Jukka Virtanen, 2006. "A class of solvable stochastic dividend optimization problems: on the general impact of flexibility on valuation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 373-398, 06.
- Alvarez, Luis H.R. & Koskela, Erkki, 2006.
"Does risk aversion accelerate optimal forest rotation under uncertainty?,"
Journal of Forest Economics,
Elsevier, vol. 12(3), pages 171-184, December.
- Luis H. R. Alvarez & Erkki Koskela, 2004. "Does Risk Aversion Accelerate Optimal Forest Rotation under Uncertainty?," CESifo Working Paper Series 1285, CESifo Group Munich.
- Gjolberg, Ole & Guttormsen, Atle G., 2002. "Real options in the forest: what if prices are mean-reverting?," Forest Policy and Economics, Elsevier, vol. 4(1), pages 13-20, May.
- Caballero, Ricardo J., 1999. "Aggregate investment," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 12, pages 813-862 Elsevier.
- Cabalero, R.J., 1997. "Aggregaete Investment," Working papers 97-20, Massachusetts Institute of Technology (MIT), Department of Economics.
- Ricardo J. Caballero, 1997. "Aggregate Investment," NBER Working Papers 6264, National Bureau of Economic Research, Inc.
- Robert S. Pindyck, 1984. "Uncertainty in the Theory of Renewable Resource Markets," Review of Economic Studies, Oxford University Press, vol. 51(2), pages 289-303.
- Willassen, Yngve, 1998. "The stochastic rotation problem: A generalization of Faustmann's formula to stochastic forest growth," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 573-596, April.
- Alvarez, Luis H.R. & Koskela, Erkki, 2007. "Taxation and rotation age under stochastic forest stand value," Journal of Environmental Economics and Management, Elsevier, vol. 54(1), pages 113-127, July.
- Luis H. R. Alvarez & Erkki Koskela, 2004. "Taxation and Rotation Age under Stochastic Forest Stand Value," CESifo Working Paper Series 1211, CESifo Group Munich.
- Insley, Margaret, 2002. "A Real Options Approach to the Valuation of a Forestry Investment," Journal of Environmental Economics and Management, Elsevier, vol. 44(3), pages 471-492, November.
- Samuel Bentolila & Giuseppe Bertola, 1990. "Firing Costs and Labour Demand: How Bad is Eurosclerosis?," Review of Economic Studies, Oxford University Press, vol. 57(3), pages 381-402.
- Alvarez, Luis H. R. & Koskela, Erkki, 2005. "Wicksellian theory of forest rotation under interest rate variability," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 529-545, March.
- Luis H. R. Alvarez & Erkki Koskela, 2001. "Wicksellian Theory of Forest Rotation under Interest Rate Variability," CESifo Working Paper Series 606, CESifo Group Munich.
- Saphores, Jean-Daniel, 2003. "Harvesting a renewable resource under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 28(3), pages 509-529, December.
- Pindyck, Robert S., 2000. "Irreversibilities and the timing of environmental policy," Resource and Energy Economics, Elsevier, vol. 22(3), pages 233-259, July.
- Pindyck, Robert S., 1998. "Irreversibilities and the timing of environmental policy," Working papers WP 4047-98., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Pindyck, Robert S., 2002. "Optimal timing problems in environmental economics," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1677-1697, August.
- Margaret Insley & Kimberly Rollins, 2005. "On Solving the Multirotational Timber Harvesting Problem with Stochastic Prices: A Linear Complementarity Formulation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(3), pages 735-755.
- Thomas A. Thomson, 1992. "Optimal Forest Rotation When Stumpage Prices Follow a Diffusion Process," Land Economics, University of Wisconsin Press, vol. 68(3), pages 329-342.
- Abel, Andrew B., 1990. "Consumption and investment," Handbook of Monetary Economics,in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 2, chapter 14, pages 725-778 Elsevier.
- Andrew B. Abel, 1988. "Consumption and Investment," NBER Working Papers 2580, National Bureau of Economic Research, Inc.
- Morck, Randall & Schwartz, Eduardo & Stangeland, David, 1989. "The Valuation of Forestry Resources under Stochastic Prices and Inventories," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(04), pages 473-487, December.
- Reed, William J & Clarke, Harry R, 1990. "Harvest Decisions and Asset Valuation for Biological Resources Exhibiting Size-Dependent Stochastic Growth," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(1), pages 147-169, February. Full references (including those not matched with items on IDEAS)