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Taxation and Rotation Age under Stochastic Forest Stand Value

  • Luis H. R. Alvarez
  • Erkki Koskela

The paper uses both the single rotation and ongoing rotation framework to study the impact of yield tax, lump-sum tax, cash flow tax and tax on interest rate earnings on the privately optimal rotation period when forest value growth is stochastic and forest owners are either risk neutral or risk averse. In the case of risk-neutral forest owner higher yield tax raises the optimal harvesting threshold and thereby prolongs the expected rotation period. The same qualitative result holds for lump-sum tax and for the tax on interest rate earnings, while the cash flow tax is neutral. Under risk aversion the optimal harvesting threshold is lower and the expected rotation period shorter than under risk neutrality both in the single and ongoing rotation cases. Comparative statics of taxes are similar as under risk neutrality with the exception of cash flow tax, which may not be neutral anymore. Numerical results indicate that the optimal harvesting threshold both as a function of the yield tax and the forest value volatility increases more rapidly under risk neutrality than under risk aversion.

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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 1211.

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Date of creation: 2004
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Handle: RePEc:ces:ceswps:_1211
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  1. Saphores, Jean-Daniel, 2003. "Harvesting a renewable resource under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 28(3), pages 509-529, December.
  2. 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.
  3. Hartman, Richard, 1976. "The Harvesting Decision When a Standing Forest Has Value," Economic Inquiry, Western Economic Association International, vol. 14(1), pages 52-58, March.
  4. Alvarez, Luis H R & Koskela, Erkki, 2003. "On Forest Rotation under Interest Rate Variability," International Tax and Public Finance, Springer, vol. 10(4), pages 489-503, August.
  5. Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
  6. 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.
  7. Samuelson, Paul A, 1976. "Economics of Forestry in an Evolving Society," Economic Inquiry, Western Economic Association International, vol. 14(4), pages 466-92, December.
  8. Koskela, Erkki & Ollikainen, Markku, 2001. "Forest Taxation and Rotation Age under Private Amenity Valuation: New Results," Journal of Environmental Economics and Management, Elsevier, vol. 42(3), pages 374-384, November.
  9. 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.
  10. R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
  11. Koskela, Erkki & Ollikainen, Markku, 2003. "A Behavioral and Welfare Analysis of Progressive Forest Taxation," Discussion Papers 862, The Research Institute of the Finnish Economy.
  12. Englin, Jeffrey E. & Klan, Mark S., 1990. "Optimal taxation: Timber and externalities," Journal of Environmental Economics and Management, Elsevier, vol. 18(3), pages 263-275, May.
  13. 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.
  14. Andrew B. Abel, 1988. "Consumption and Investment," NBER Working Papers 2580, National Bureau of Economic Research, Inc.
  15. Reed, William J., 1984. "The effects of the risk of fire on the optimal rotation of a forest," Journal of Environmental Economics and Management, Elsevier, vol. 11(2), pages 180-190, June.
  16. 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.
  17. 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.
  18. repec:cup:cbooks:9780521834063 is not listed on IDEAS
  19. 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.
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