Modelling and computation of optimal decision for farmers leasing lands

References

• R.R. Bhappu and J. Guzman, Mineral investment decision making: A study of mining company practices, Eng. Min. J. 70 (1995), pp. 36–38.
   Google Scholar
• D. Bignami, E i pannelli colonizzano i camp, Terra e Vita 43 (2010), pp. 16–28.
   Google Scholar
• M.J. Brennan and E.S. Schwartz, Evaluating natural resource investments, J. Bus. 58(2) (1985), pp. 135–157. doi: 10.1086/296288
   Web of Science ®Google Scholar
• D.R. Capozza and R.W. Helsley, The stochastic city, J. Urban Econ. 28(2) (1990), pp. 187–203. doi: 10.1016/0094-1190(90)90050-W
   Web of Science ®Google Scholar
• D.R. Capozza and Y. Li, Optimal land development decisions, J. Urban Econ. 51(1) (2002), pp. 123–142. doi: 10.1006/juec.2001.2240
   Web of Science ®Google Scholar
• D.R. Capozza and G.A. Sick, The risk structure of land markets, J. Urban Econ. 35(3) (1994), pp. 297–319. doi: 10.1006/juec.1994.1018
   Web of Science ®Google Scholar
• C.R. Cunningham, House price uncertainty, timing of development, and vacant land prices: Evidence for real options in Seattle, J. Urban Econ. 59 (2006), pp. 1–31. doi: 10.1016/j.jue.2005.08.003
   Web of Science ®Google Scholar
• A.K. Dixit and R.S. Pindyck, Investment under Uncertainty, Princeton University Press, Princeton, 1994.
   Google Scholar
• X. Du and D.A. Hennessy, The planting real option in cash rent valuation, Working paper, Iowa State University, 2008.
   Google Scholar
• J. Facchinei and J.S. Pang, Finite-dimensional Variational Inequalities and Complementary Problem, Springer Series in Operations Research, New York, 2003.
   Google Scholar
• P.A. Forsyth and K.R. Vetzal, Quadratic convergence for valuing American options using a penalty method, SIAM J. Sci. Comput. 23 (2002), pp. 2095–2122. doi: 10.1137/S1064827500382324
   Web of Science ®Google Scholar
• D. Geltner, T. Riddiough, and S. Stojanovic, Insights on the effect of land use choice: The perpetual option on the best of two underlying assets, J. Urban Econ. 39 (1996), pp. 20–50. doi: 10.1006/juec.1996.0002
   Web of Science ®Google Scholar
• R. Gibson and E.S. Schwartz, Stochastic convenience yield and the pricing of oil contingent claims, J. Financ. 45(3) (1990), pp. 959–976. doi: 10.1111/j.1540-6261.1990.tb05114.x
   Web of Science ®Google Scholar
• D.J. Higham, An algorithmic introduction to numerical simulation of stochastic differential equations, SIAM Rev. 43 (2001), pp. 525–546. doi: 10.1137/S0036144500378302
   Web of Science ®Google Scholar
• C.-S. Huang, C.-H Hung, and S. Wang, A fitted finite volume method for the valuation of options on assets with stochastic volatilities, Computing 77 (2006), pp. 297–320. doi: 10.1007/s00607-006-0164-4
   Web of Science ®Google Scholar
• M. Insley and K. Rollins, On solving the multirotational timber harvesting problem with stochastic prices: A linear complementarity formulation, Am. J. Agric. Econ. 87(3) (2005), pp. 735–755. doi: 10.1111/j.1467-8276.2005.00759.x
   Web of Science ®Google Scholar
• T. Isgin and D.L. Froster, Using real options theory to analyze the impacts of urban development on farm real estate markets, Turkish J. Agric. Econ. 29 (2005), pp. 409–417.
   Google Scholar
• R. McDonald and D. Siegel, The value of waiting to invest, Q. J. Econ. 101(4) (1986), pp. 707–728. doi: 10.2307/1884175
   Web of Science ®Google Scholar
• L. Meng, W. Xuecai, and M. Yuanyuan, Based analysis on institutional economics to research the improved two fields system-from the Shandong reform, East China Econ. Manag. 20 (2006), pp. 9–12.
   Google Scholar
• M. Moreno, J.F. Navas, and F. Todeschini, Land valuation using a real option approach, RACSAM – J. Roy. Acad. Exact Phys. Nat. Sci. 103(2) (2009), pp. 405–420.
   Google Scholar
• A.J. Plantinga, The optimal timber rotation: An option value approach, Forest Sci. 44(2) (1998), pp. 192–202.
   Web of Science ®Google Scholar
• A.J. Plantinga and D.J. Miller, Agricultural land values and the value of rights to future land development, Land Econ. 77(1) (2001), pp. 56–67. doi: 10.2307/3146980
   Web of Science ®Google Scholar
• L. Quigg, Empirical testing of real option-pricing models, J. Financ. 48 (1993), pp. 621–640. doi: 10.1111/j.1540-6261.1993.tb04730.x
   Web of Science ®Google Scholar
• E.S. Schwartz, The stochastic behavior of commodity prices: Implications for valuation and hedging, J. Financ. 52(3) (1997), pp. 923–973. doi: 10.1111/j.1540-6261.1997.tb02721.x
   Web of Science ®Google Scholar
• S. Titman, Urban land prices under uncertainty, Am. Econ. Rev. 75(3) (1985), pp. 505–514.
   Web of Science ®Google Scholar
• J. Topper, Financial Engineering with Finite Elements, John Wiley & Sons, NJ, 2005.
   Google Scholar
• S. Wang, A novel fitted finite volume method for the Black–Scholes equation governing option pricing, IMA J. Numer. Anal. 24 (2004), pp. 699–720. doi: 10.1093/imanum/24.4.699
   Web of Science ®Google Scholar
• S. Wang, X.Q. Yang, and K.L. Teo, Power penalty method for a linear complementarity problem arising from American option valuation, J. Optim. Theory Appl. 129 (2006), pp. 227–254. doi: 10.1007/s10957-006-9062-3
   Web of Science ®Google Scholar
• R. Yamazaki, Empirical testing of real option pricing models using land price index in Japan, J. Property Invest. Financ. 19(1) (2001), pp. 53–72. doi: 10.1108/14635780110365361
   Google Scholar
• D. Yuneng, The development of Chinese agriculture land transfer system: Transaction, concentration and commercialization, J. Agric. Sci. 3 (2011), pp. 269–274.
   Google Scholar
• K. Zhang, S. Wang, X. Yang, and K. Teo, A power penalty approach to numerical solutions of two-asset American options, Numer. Math. Theory Method Appl. 2 (2009), pp. 202–233.
   Web of Science ®Google Scholar