Optimal harvesting under resource stock and price uncertainty
AbstractWe 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Dynamics and Control.
Volume (Year): 31 (2007)
Issue (Month): 7 (July)
Contact details of provider:
Web page: http://www.elsevier.com/locate/jedc
Other versions of this item:
- Luis H. R. Alvarez & Erkki Koskela, 2005. "Optimal Harvesting under Resource Stock and Price Uncertainty," CESifo Working Paper Series 1384, CESifo Group Munich.
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.:
- Luis Alvarez & Jukka Virtanen, 2006. "A class of solvable stochastic dividend optimization problems: on the general impact of flexibility on valuation," Economic Theory, Springer, vol. 28(2), pages 373-398, 06.
- 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.
- 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., 2002. "Optimal timing problems in environmental economics," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1677-1697, August.
- Andrew B. Abel, 1988.
"Consumption and Investment,"
NBER Working Papers
2580, National Bureau of Economic Research, Inc.
- Luis H. R. Alvarez & Erkki Koskela, 2004.
"Taxation and Rotation Age under Stochastic Forest Stand Value,"
CESifo Working Paper Series
1211, CESifo Group Munich.
- 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.
- Cabalero, R.J., 1997.
97-20, Massachusetts Institute of Technology (MIT), Department of Economics.
- 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.
- Pindyck, Robert S., 1998.
"Irreversibilities and the timing of environmental policy,"
WP 4047-98., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Pindyck, Robert S., 2000. "Irreversibilities and the timing of environmental policy," Resource and Energy Economics, Elsevier, vol. 22(3), pages 233-259, July.
- 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.
- 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.
- 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.
- Bentolila, Samuel & Bertola, Giuseppe, 1990. "Firing Costs and Labour Demand: How Bad Is Eurosclerosis?," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 381-402, July.
- Luis H. R. Alvarez & Erkki Koskela, 2004.
"Does Risk Aversion Accelerate Optimal Forest Rotation under Uncertainty?,"
CESifo Working Paper Series
1285, CESifo Group Munich.
- 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.
- 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 147-69, February.
- Pindyck, Robert S, 1984. "Uncertainty in the Theory of Renewable Resource Markets," Review of Economic Studies, Wiley Blackwell, vol. 51(2), pages 289-303, April.
- 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.
- Chladna, Zuzana, 2007. "Determination of optimal rotation period under stochastic wood and carbon prices," Forest Policy and Economics, Elsevier, vol. 9(8), pages 1031-1045, May.
- Davis, Graham A. & Cairns, Robert D., 2012. "Good timing: The economics of optimal stopping," Journal of Economic Dynamics and Control, Elsevier, vol. 36(2), pages 255-265.
- Holopainen, Markus & Mäkinen, Antti & Rasinmäki, Jussi & Hyytiäinen, Kari & Bayazidi, Saeed & Pietilä, Ilona, 2010. "Comparison of various sources of uncertainty in stand-level net present value estimates," Forest Policy and Economics, Elsevier, vol. 12(5), pages 377-386, June.
- Coculescu, Delia, 2011. "Dividends and leverage: How to optimally exploit a non-renewable investment," Journal of Economic Dynamics and Control, Elsevier, vol. 35(3), pages 312-329, March.
- Guo, Christopher & Costello, Christopher, 2013. "The value of adaption: Climate change and timberland management," Journal of Environmental Economics and Management, Elsevier, vol. 65(3), pages 452-468.
- Navarrete, Eduardo & Bustos, Jaime, 2013. "Faustmann optimal pine stands stochastic rotation problem," Forest Policy and Economics, Elsevier, vol. 30(C), pages 39-45.
- Buongiorno, Joseph & Zhou, Mo, 2011. "Further generalization of Faustmann's formula for stochastic interest rates," Journal of Forest Economics, Elsevier, vol. 17(3), pages 248-257, August.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.