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The Effect of Fire Risk on the Critical Harvesting Times for Pacific Northwest Douglas-Fir When Carbon Price Is Stochastic

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  • Creamer, Selmin F.
  • Genz, Alan
  • Blatner, Keith A.
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    Abstract

    The forest owner’s decision regarding when to harvest, based on forest’s current worth, is analyzed using the real options approach for a representative Pacific Northwest Douglas-fir stand when the carbon price is stochastic and there is a fire risk. The problem is framed as a linear complementarity problem and solved using the fully implicit finite difference method combined with a penalty method. The fire risk results in lower option values and earlier critical harvesting times, whereas a wider carbon price range ($0–$100 versus $0–$10) produces contrary results and more responsiveness to the parameter changes.

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    Bibliographic Info

    Article provided by Northeastern Agricultural and Resource Economics Association in its journal Agricultural and Resource Economics Review.

    Volume (Year): 41 (2012)
    Issue (Month): 3 (December)
    Pages:

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    Handle: RePEc:ags:arerjl:141673

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    Related research

    Keywords: Chicago Climate Exchange Sustainably Managed Forest Project; carbon financial instrument; geometric mean-reverting process; Resource /Energy Economics and Policy; Risk and Uncertainty;

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    1. Graeme Guthrie & Dinesh Kumareswaran, 2009. "Carbon Subsidies, Taxes and Optimal Forest Management," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 43(2), pages 275-293, June.
    2. Newman, D.H., 2002. "Forestry's golden rule and the development of the optimal forest rotation literature," Journal of Forest Economics, Elsevier, vol. 8(1), pages 5-27.
    3. 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.
    4. Insley, Margaret & Lei, Manle, 2007. "Hedges and Trees: Incorporating Fire Risk into Optimal Decisions in Forestry Using a No-Arbitrage Approach," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 32(03), December.
    5. Gregory S. Amacher & Markku Ollikainen & Erkki A. Koskela, 2009. "Economics of Forest Resources," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012480, December.
    6. 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.
    7. 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.
    8. 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.
    9. Conrad, Jon M., 1997. "On the option value of old-growth forest," Ecological Economics, Elsevier, vol. 22(2), pages 97-102, August.
    10. 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.
    11. Duku-Kaakyire, Armstrong & Nanang, David M., 2004. "Application of real options theory to forestry investment analysis," Forest Policy and Economics, Elsevier, vol. 6(6), pages 539-552, October.
    12. 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.
    13. Jean-Daniel Saphores & Lynda Khalaf & Denis Pelletier, 2002. "On Jumps and ARCH Effects in Natural Resource Prices: An Application to Pacific Northwest Stumpage Prices," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(2), pages 387-400.
    14. Adam J. Daigneault & Mario J. Miranda & Brent Sohngen, 2010. "Optimal Forest Management with Carbon Sequestration Credits and Endogenous Fire Risk," Land Economics, University of Wisconsin Press, vol. 86(1), pages 155-172.
    15. Samuelson, Paul A, 1976. "Economics of Forestry in an Evolving Society," Economic Inquiry, Western Economic Association International, vol. 14(4), pages 466-92, December.
    16. 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.
    17. 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.
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