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How does real option value compare with Faustmann value when log prices follow fractional Brownian motion?

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  • Manley, Bruce
  • Niquidet, Kurt

Abstract

Analysis of an extended price series from 1973 to 2016 for New Zealand A grade export logs confirms that the price series is not I(0) stationary. The rejection of the unit root test suggests that it is also not I(1). It is estimated that log prices are fractionally integrated with A grade prices being I(0.78) and the natural logarithm of A grade prices being I(0.83). The implication is that log prices should be modelled using fraction Brownian motion (FBM) rather than geometric Brownian motion (GBM) or as a stationary autoregressive process.

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  • Manley, Bruce & Niquidet, Kurt, 2017. "How does real option value compare with Faustmann value when log prices follow fractional Brownian motion?," Forest Policy and Economics, Elsevier, vol. 85(P1), pages 76-84.
    • Handle: RePEc:eee:forpol:v:85:y:2017:i:p1:p:76-84
    DOI: 10.1016/j.forpol.2017.08.017
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    1. Clarke, Harry R. & Reed, William J., 1989. "The tree-cutting problem in a stochastic environment : The case of age-dependent growth," Journal of Economic Dynamics and Control, Elsevier, vol. 13(4), pages 569-595, October.
    2. Robert Elliott & Leunglung Chan, 2004. "Perpetual American options with fractional Brownian motion," Quantitative Finance, Taylor & Francis Journals, vol. 4(2), pages 123-128.
    3. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    4. Reed, William J., 1993. "The decision to conserve or harvest old-growth forest," Ecological Economics, Elsevier, vol. 8(1), pages 45-69, August.
    5. Katsumi Shimotsu, 2006. "Simple (but Effective) Tests Of Long Memory Versus Structural Breaks," Working Paper 1101, Economics Department, Queen's University.
    6. Kristoufek, Ladislav & Vosvrda, Miloslav, 2014. "Commodity futures and market efficiency," Energy Economics, Elsevier, vol. 42(C), pages 50-57.
    7. 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.
    8. Gong, Peichen & Löfgren, Karl Gustaf, 2007. "Market and welfare implications of the reservation price strategy for forest harvest decisions," Journal of Forest Economics, Elsevier, vol. 13(4), pages 217-243, November.
    9. Kurt Niquidet & Lili Sun, 2012. "Do Forest Products Prices Display Long Memory?," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 60(2), pages 239-261, June.
    10. Manley, Bruce & Niquidet, Kurt, 2010. "What is the relevance of option pricing for forest valuation in New Zealand?," Forest Policy and Economics, Elsevier, vol. 12(4), pages 299-307, April.
    11. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    12. 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.
    13. 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(4), pages 473-487, December.
    14. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    15. Robert S. Pindyck, 1999. "The Long-Run Evolutions of Energy Prices," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 1-27.
    16. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    17. Ibáñez, Alfredo & Zapatero, Fernando, 2004. "Monte Carlo Valuation of American Options through Computation of the Optimal Exercise Frontier," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(2), pages 253-275, June.
    18. Rostek, S. & Schöbel, R., 2013. "A note on the use of fractional Brownian motion for financial modeling," Economic Modelling, Elsevier, vol. 30(C), pages 30-35.
    19. Manley, Bruce, 2013. "How does real option value compare with Faustmann value in the context of the New Zealand Emissions Trading Scheme?," Forest Policy and Economics, Elsevier, vol. 30(C), pages 14-22.
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