CIRM - Videos & books Library - Project evaluation under uncertainty

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Authors : Zubelli, Jorge P. (Author of the conference)
CIRM (Publisher )

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Abstract : Industrial strategic decisions have evolved tremendously in the last decades towards a higher degree of quantitative analysis. Such decisions require taking into account a large number of uncertain variables and volatile scenarios, much like financial market investments. Furthermore, they can be evaluated by comparing to portfolios of investments in financial assets such as in stocks, derivatives and commodity futures. This revolution led to the development of a new field of managerial science known as Real Options.
The use of Real Option techniques incorporates also the value of flexibility and gives a broader view of many business decisions that brings in techniques from quantitative finance and risk management. Such techniques are now part of the decision making process of many corporations and require a substantial amount of mathematical background. Yet, there has been substantial debate concerning the use of risk neutral pricing and hedging arguments to the context of project evaluation. We discuss some alternatives to risk neutral pricing that could be suitable to evaluation of projects in a realistic context with special attention to projects dependent on commodities and non-hedgeable uncertainties. More precisely, we make use of a variant of the hedged Monte-Carlo method of Potters, Bouchaud and Sestovic to tackle strategic decisions. Furthermore, we extend this to different investor risk profiles. This is joint work with Edgardo Brigatti, Felipe Macias, and Max O. de Souza.
If time allows we shall also discuss the situation when the historical data for the project evaluation is very limited and we can make use of certain symmetries of the problem to perform (with good estimates) a nonintrusive stratified resampling of the data. This is joint work with E. Gobet and G. Liu.

MSC Codes :
91B06 - Decision theory
91B24 - Price theory and market structure
91B26 - Market models (auctions, bargaining, bidding, selling, etc.)
91B30 - Risk theory, insurance

Additional resources :
http://www.lpma-paris.fr/pageperso/benezet/CEMRACS2017/Zubelli.pdf

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Hennenfent, Guillaume

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https://videos.cirm-math.fr/2017-07-31_Zubelli.mp4

Information on the Event

Event Title : CEMRACS: Numerical methods for stochastic models: control, uncertainty quantification, mean-field / CEMRACS : Méthodes numériques pour équations stochastiques : contrôle, incertitude, champ moyen
Event Organizers : Bouchard, Bruno ; Chassagneux, Jean-François ; Delarue, François ; Gobet, Emmanuel ; Lelong, Jérôme
Dates : 17/07/17 - 25/08/17
Event Year : 2017
Event URL : http://conferences.cirm-math.fr/1556.html

Citation Data

DOI : 10.24350/CIRM.V.19204803
Cite this video as: Zubelli, Jorge P. (2017). Project evaluation under uncertainty. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19204803
URI : http://dx.doi.org/10.24350/CIRM.V.19204803

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Bibliography

Brennan, M.J., & Schwartz, E.S. (1985). Evaluating natural resource investments. The Journal of Business, 58(2), 135–-157 - http://www.jstor.org/stable/2352967

Brigatti, E., Macias, F., Souza M.O., & Zubelli J.P. (2015). A hedged Monte Carlo approach to real option pricing. In R. Aïd, M. Ludkovski, & R. Sircar (Eds.), Commodities, Energy and Environmental Finance (pp. 275-299). New York: Springer - http://dx.doi.org/10.1007/978-1-4939-2733-3_10

Dixit, A. (1989). Entry and exit decisions under uncertainty. Journal Of Political Economy, 97(3), 620-–638 - http://dx.doi.org/10.1086/261619

Fölmer, H., & Schied, A. (2016). Stochastic finance. An introduction in discrete time. 4th revised edition. Berlin: de Gruyter - http://dx.doi.org/10.1515/9783110463453

Gobet, E., & Turkedjiev, P. (2016). Linear regression MDP scheme for discrete backward stochastic differential equations under general conditions. Mathematics of Computation, 85(299), 1359-–1391 - https://doi.org/10.1090/mcom/3013

Hubalek, F., & Schachermayer, W. (2001). The limitations of no-arbitrage arguments for real options. International Journal of Theoretical and Applied Finance, 4(2), 361-373 - http://dx.doi.org/10.1142/S0219024901001024

Ingersoll, J.E., & Ross, S.A. (1992). Waiting to invest: investment and uncertainty. Journal of Business, 65(1), 1–-29 - http://www.jstor.org/stable/2353172

Liu, G., Gobet, E., & Zubelli, J. (2016). A non-intrusive stratified resampler for regression monte carlo: application to solving non-linear equations. - https://hal-polytechnique.archives-ouvertes.fr/hal-01291056

Ma, J., & Yong, J. (1999). Forward-backward stochastic differential equations and their applications. Berlin: Springer - http://dx.doi.org/10.1007/978-3-540-48831-6

MCdonald, R., & Siegel, D. (1986). The value of waiting to invest. Quarterly Journal Of Economics, 101(4), 707–-727 - https://doi.org/10.2307/1884175

Myers, S.C. (1977). Determinants of corporate borrowing. Journal of Financial Economics, 5(2), 147–-175 - https://doi.org/10.1016/0304-405X(77)90015-0

Paddock, J.L., Siegel, D.R., & Smith, J.L. (1988). Option valuation of claims on real assets: the case of offshore petroleum leases. Quarterly Journal Of Economics, 103(3), 479–-508 - https://doi.org/10.2307/1885541

Pardoux E., & Rascanu A. (2014). Stochastic differential equations, backward SDEs, partial differential equations. Cham: Springer - http://dx.doi.org/10.1007/978-3-319-05714-9

Pindyck, R.S. (1991). Irreversibility, uncertainty, and investment. Journal Of Economic Literature, 29(3), 1110-–1148 -

Potters, M., Bouchaud, J.-P., & Sestovic, D. (2001). Hedged Monte-Carlo: low variance derivative pricing with objective probabilities. Physica A, 289(3-4), 517-525 - https://doi.org/10.1016/S0378-4371(00)00554-9

Trigeorgis, L., & Mason, S.P. (1987). Valuing managerial flexibility. Midland Corporate Finance Journal, 5(1), 14–-21 -

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