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Optimal Harvesting under Resource Stock and Price Uncertainty

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Author Info
Luis H. R. Alvarez ()
Erkki Koskela ()
Abstract

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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Publisher Info
Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number CESifo Working Paper No. 1384.

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Date of creation: 2005
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Handle: RePEc:ces:ceswps:_1384

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Related research
Keywords: optimal harvesting; stochastic price and stock dynamics; single and sequential harvesting opportunity;

Find related papers by JEL classification:
D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Investment Policy
H25 - Public Economics - - Taxation, Subsidies, and Revenue - - - Business Taxes and Subsidies

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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. Andrew B. Abel, 1988. "Consumption and Investment," NBER Working Papers 2580, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  2. Luis H. R. Alvarez & Erkki Koskela, 2004. "Taxation and Rotation Age under Stochastic Forest Stand Value," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  3. 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. [Downloadable!]
  4. Bentolila, Samuel & Bertola, Giuseppe, 1990. "Firing Costs and Labour Demand: How Bad Is Eurosclerosis?," Review of Economic Studies, Blackwell Publishing, vol. 57(3), pages 381-402, July. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
  7. Ricardo J. Caballero, 1997. "Aggregate Investment," NBER Working Papers 6264, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  8. Pindyck, Robert S, 1984. "Uncertainty in the Theory of Renewable Resource Markets," Review of Economic Studies, Blackwell Publishing, vol. 51(2), pages 289-303, April. [Downloadable!] (restricted)
  9. 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. [Downloadable!]
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  10. 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. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. 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. [Downloadable!] (restricted)
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