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Path integration for real options

Author

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  • Grillo, Sebastian
  • Blanco, Gerardo
  • Schaerer, Christian E.

Abstract

Real options were firstly formulated by using traditional financial option models; however, an investor can confront in practice with exotic dynamics. Nowadays, approaches based on simulations have been gaining relevance for solving complex options. This paper proposes the application of the path integral approach (PI) to multivariate real option problems. We discuss the viability of the proposal by a mathematical analysis of the problem and an application to a case study of control chart decision (CCD). The proposal is compared with the traditional approaches for solving real option problems. The results present the proposal as a competitive alternative for the simulation in low dimensional problems.

Suggested Citation

  • Grillo, Sebastian & Blanco, Gerardo & Schaerer, Christian E., 2015. "Path integration for real options," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 120-132.
    • Handle: RePEc:eee:apmaco:v:265:y:2015:i:c:p:120-132
    DOI: 10.1016/j.amc.2015.04.111
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    References listed on IDEAS

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    1. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
    2. Montagna, Guido & Nicrosini, Oreste & Moreni, Nicola, 2002. "A path integral way to option pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 450-466.
    3. G. Montagna & O. Nicrosini & N. Moreni, 2002. "A Path Integral Way to Option Pricing," Papers cond-mat/0202143, arXiv.org.
    4. Myers, Stewart C., 1977. "Determinants of corporate borrowing," Journal of Financial Economics, Elsevier, vol. 5(2), pages 147-175, November.
    5. Boyle, Phelim P., 1988. "A Lattice Framework for Option Pricing with Two State Variables," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(1), pages 1-12, March.
    6. D. Lemmens & M. Wouters & J. Tempere & S. Foulon, 2008. "A path integral approach to closed-form option pricing formulas with applications to stochastic volatility and interest rate models," Papers 0806.0932, arXiv.org.
    7. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    8. Boyle, Phelim P., 1977. "Options: A Monte Carlo approach," Journal of Financial Economics, Elsevier, vol. 4(3), pages 323-338, May.
    9. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
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