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Does Risk Aversion Accelerate Optimal Forest Rotation under Uncertainty?

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  • Luis H. R. Alvarez
  • Erkki Koskela

Abstract

We use a Wicksellian single rotation framework to analyze the impact of the intertemporally fluctuating and stochastic mean-reverting interest rate process on the optimal harvesting threshold and thereby the expected length of the rotation period, when forest value is also stochastic following geometric Brownian motion and landowners are risk-averse. We provide an explicit solution for the two-dimensional path-dependent rotation problem and demonstrate that higher interest rate volatility increases, while higher risk aversion decreases the optimal harvesting threshold. Moreover, under risk aversion increased forest value volatility decreases the optimal harvesting threshold, while it has no effect under risk neutrality. Numerical illustrations indicate that higher interest rate volatility will raise the expected rotation period at an increasing rate, while higher forest value volatility will decrease its sensitivity under risk aversion.

Suggested Citation

  • Luis H. R. Alvarez & Erkki Koskela, 2004. "Does Risk Aversion Accelerate Optimal Forest Rotation under Uncertainty?," CESifo Working Paper Series 1285, CESifo.
  • Handle: RePEc:ces:ceswps:_1285
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    References listed on IDEAS

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    1. Alvarez, Luis H R & Koskela, Erkki, 2003. "On Forest Rotation under Interest Rate Variability," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 10(4), pages 489-503, August.
    2. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    3. Chang, Fwu-Ranq, 2005. "On the elasticities of harvesting rules," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 469-485, March.
    4. Samuelson, Paul A, 1976. "Economics of Forestry in an Evolving Society," Economic Inquiry, Western Economic Association International, vol. 14(4), pages 466-492, December.
    5. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.),Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    6. 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.
    7. 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.
    8. 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.
    9. 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.
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    Citations

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    Cited by:

    1. Brunette, Marielle & Couture, Stéphane & Langlais, Eric, 2009. "Amenities and Risk in Forest Management," MPRA Paper 14743, University Library of Munich, Germany.
    2. Franco Mariuzzo & Patrick Paul Walsh & Ciara Whelan, 2004. "EU Merger Control in Differentiated Product Industries," CESifo Working Paper Series 1312, CESifo.
    3. Carmona, Julio & Leon, Angel, 2007. "Investment option under CIR interest rates," Finance Research Letters, Elsevier, vol. 4(4), pages 242-253, December.
    4. Olivier Damette & Philippe Delacote, 2009. "The environmental resource curse hypothesis: the forest case," Working Papers - Cahiers du LEF 2009-04, Laboratoire d'Economie Forestiere, AgroParisTech-INRA.
    5. Insley, M.C. & Wirjanto, T.S., 2010. "Contrasting two approaches in real options valuation: Contingent claims versus dynamic programming," Journal of Forest Economics, Elsevier, vol. 16(2), pages 157-176, April.
    6. Lien, G. & Stordal, S. & Hardaker, J.B. & Asheim, L.J., 2007. "Risk aversion and optimal forest replanting: A stochastic efficiency study," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1584-1592, September.
    7. Sylvain Caurla & Philippe Delacote & Franck Lecocq & Ahmed Barkaoui, 2009. "Fuelwood consumption, restrictions about resource availability and public policies: impacts on the French forest sector," Working Papers - Cahiers du LEF 2009-03, Laboratoire d'Economie Forestiere, AgroParisTech-INRA.
    8. Johnston, Craig M.T. & Withey, Patrick, 2017. "Managing Forests for Carbon and Timber: A Markov Decision Model of Uneven-aged Forest Management With Risk," Ecological Economics, Elsevier, vol. 138(C), pages 31-39.
    9. 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.

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