메뉴 건너뛰기




Volumn 48, Issue 4, 2009, Pages 2751-2770

A finite horizon optimal multiple switching problem

Author keywords

Backward stochastic differential equations; Impulse control; Optimal switching; Real options; Snell envelope; Stopping time; Variational inequalities

Indexed keywords

BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS; IMPULSE CONTROL; OPTIMAL SWITCHING; REAL OPTIONS; SNELL ENVELOPE; STOPPING TIME; VARIATIONAL INEQUALITIES;

EID: 84907817384     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/070697641     Document Type: Article
Times cited : (91)

References (34)
  • 1
    • 68149132062 scopus 로고    scopus 로고
    • A stochastic target formulation for optimal switching problems in finite horizon
    • B. BOUCHARD, A stochastic target formulation for optimal switching problems in finite horizon, Stochastics, 81 (2009), pp. 171-197.
    • (2009) Stochastics , vol.81 , pp. 171-197
    • Bouchard, B.1
  • 2
    • 0002786634 scopus 로고
    • The high contact principle as a sufficiency condition for optimal stopping
    • D. Lund and B. Øksendal, eds., North-Holland, Amsterdam
    • K. A. BREKKE and B. ØKSENDAL, The high contact principle as a sufficiency condition for optimal stopping, in Stochastic Models and Option Values, D. Lund and B. Øksendal, eds., North-Holland, Amsterdam, 1991, pp. 187-208.
    • (1991) Stochastic Models and Option Values , pp. 187-208
    • Brekke, K.A.1    Øksendal, B.2
  • 3
    • 0028467079 scopus 로고
    • Optimal switching in an economic activity under uncertainty
    • K. A. BREKKE and B. ØKSENDAL, Optimal switching in an economic activity under uncertainty, SIAM J. Control Optim., 32 (1994), pp. 1021-1036.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 1021-1036
    • Brekke, K.A.1    Øksendal, B.2
  • 4
    • 0001603924 scopus 로고
    • Evaluating natural resource investments
    • M. J. BRENNAN and E. S. SCHWARTZ, Evaluating natural resource investments, J. Business, 58 (1985), pp. 135-137.
    • (1985) J. Business , vol.58 , pp. 135-137
    • Brennan, M.J.1    Schwartz, E.S.2
  • 5
    • 57649221741 scopus 로고    scopus 로고
    • Pricing asset scheduling flexibility using optimal switching
    • R. CARMONA and M. LUDKOVSKI, Pricing asset scheduling flexibility using optimal switching, Appl. Math. Finance, 15 (2008), pp. 405-447
    • (2008) Appl. Math. Finance , vol.15 , pp. 405-447
    • Carmona, R.1    Ludkovski, M.2
  • 6
    • 0030360242 scopus 로고    scopus 로고
    • Backward SDEs with reflection and dynkin games
    • J. CVITANIC and I. KARATZAS, Backward SDEs with reflection and Dynkin games, Ann. Probab., 24 (1996), pp. 2024-2056.
    • (1996) Ann. Probab. , vol.24 , pp. 2024-2056
    • Cvitanic, J.1    Karatzas, I.2
  • 9
    • 68149182289 scopus 로고    scopus 로고
    • On a finite horizon starting and stopping problem with risk of abandonment
    • B. DJEHICHE and S. HAMADÉNE, On a finite horizon starting and stopping problem with risk of abandonment, Int. J. Theor. Appl. Finance, 12 (2009), pp. 523-543.
    • (2009) Int. J. Theor. Appl. Finance , vol.12 , pp. 523-543
    • Djehiche, B.1    Hamadéne, S.2
  • 10
    • 84936823784 scopus 로고
    • Entry and exit decisions under uncertainty
    • A. DIXIT, Entry and exit decisions under uncertainty, J. Political Economy, 97 (1989), pp. 620-638.
    • (1989) J. Political Economy , vol.97 , pp. 620-638
    • Dixit, A.1
  • 12
    • 0036662627 scopus 로고    scopus 로고
    • Recursive state estimation for multiple switching models with unknown transition probabilities
    • A. DOUCET and B. RISTIC, Recursive state estimation for multiple switching models with unknown transition probabilities, IEEE Trans. Aerosp. Electron. systems, 38 (2002), pp. 1098-1104.
    • (2002) IEEE Trans. Aerosp. Electron. Systems , vol.38 , pp. 1098-1104
    • Doucet, A.1    Ristic, B.2
  • 14
    • 0035592033 scopus 로고    scopus 로고
    • A model for investment decisions with switching costs
    • K. DUCKWORTH and M. ZERVOS, A model for investment decisions with switching costs, Ann. Appl. Probab., 11 (2001), pp. 239-260.
    • (2001) Ann. Appl. Probab. , vol.11 , pp. 239-260
    • Duckworth, K.1    Zervos, M.2
  • 15
    • 70449524566 scopus 로고    scopus 로고
    • The finite horizon optimal multi-modes switching problem: The viscosity solution approach
    • B. EL ASRI and S. HAMADÈNE, The finite horizon optimal multi-modes switching problem: The viscosity solution approach, Appl. Math. Optim., 60 (2009), pp. 213-235.
    • (2009) Appl. Math. Optim. , vol.60 , pp. 213-235
    • El Asri, B.1    Hamadène, S.2
  • 17
    • 0031483012 scopus 로고    scopus 로고
    • Reflected solutions of backward SDEs and related obstacle problems for PDEs
    • N. EL KAROUI, C. KAPOUDJIAN, E. PARDOUX, S. PENG, and M. C. QUENEZ, Reflected solutions of backward SDEs and related obstacle problems for PDEs, Ann. Probab., 25 (1997), pp. 702-737.
    • (1997) Ann. Probab. , vol.25 , pp. 702-737
    • El Karoui, N.1    Kapoudjian, C.2    Pardoux, E.3    Peng, S.4    Quenez, M.C.5
  • 18
    • 0031542653 scopus 로고    scopus 로고
    • Backward stochastic differential equations in finance
    • N. EL KAROUI, S. PENG, and M. C. QUENEZ, Backward stochastic differential equations in finance, Math. Finance, 7 (1997), pp. 1-71.
    • (1997) Math. Finance , vol.7 , pp. 1-71
    • El Karoui, N.1    Peng, S.2    Quenez, M.C.3
  • 19
    • 29144464083 scopus 로고    scopus 로고
    • A regression-based Monte Carlo method to solve backward stochastic differential equations
    • E. GOBET, J.-P. LEMOR, and X. WARIN, A regression-based Monte Carlo method to solve backward stochastic differential equations, Ann. Appl. Probab., 15 (2005), pp. 2172-2202.
    • (2005) Ann. Appl. Probab. , vol.15 , pp. 2172-2202
    • Gobet, E.1    Lemor, J.-P.2    Warin, X.3
  • 20
    • 34248521006 scopus 로고    scopus 로고
    • Rate of convergence of an empirical regression method for solving generalized backward stochastic differential equations
    • E. GOBET, J.-P. LEMOR, and X. WARIN, Rate of convergence of an empirical regression method for solving generalized backward stochastic differential equations, Bernoulli, 12 (2006), pp. 889-916.
    • (2006) Bernoulli , vol.12 , pp. 889-916
    • Gobet, E.1    Lemor, J.-P.2    Warin, X.3
  • 21
    • 16244417484 scopus 로고    scopus 로고
    • Optimal partially reversible investment with entry decision and general production function
    • X. GUO and H. PHAM, Optimal partially reversible investment with entry decision and general production function, Stochastic Process. Appl., 115 (2005), pp. 705-736.
    • (2005) Stochastic Process. Appl. , vol.115 , pp. 705-736
    • Guo, X.1    Pham, H.2
  • 22
    • 17444425083 scopus 로고    scopus 로고
    • Reflected BSDEs with discontinuous barriers
    • S. HAMADÈNE, Reflected BSDEs with discontinuous barriers, Stoch. Stoch. Rep., 74 (2002), pp. 571-596.
    • (2002) Stoch. Stoch. Rep. , vol.74 , pp. 571-596
    • Hamadène, S.1
  • 23
    • 33847314223 scopus 로고    scopus 로고
    • On the starting and stopping problem: Application in reversible investments
    • S. HAMADÈNE and M. JEANBLANC, On the starting and stopping problem: Application in reversible investments, Math. Oper. Res., 32 (2007), pp. 182-192.
    • (2007) Math. Oper. Res. , vol.32 , pp. 182-192
    • Hamadène, S.1    Jeanblanc, M.2
  • 26
    • 0032205772 scopus 로고    scopus 로고
    • Valuation of investments in real assets with implications for the stock prices
    • T. S. KNUDSEN, B. MEISTER, and M. ZERVOS, Valuation of investments in real assets with implications for the stock prices, SIAM J. Control Optim., 36 (1998), pp. 2082-2102.
    • (1998) SIAM J. Control Optim. , vol.36 , pp. 2082-2102
    • Knudsen, T.S.1    Meister, B.2    Zervos, M.3
  • 27
    • 0000268709 scopus 로고
    • Backward SDEs and quasilinear PDEs
    • B. L. Rozovskii and R. B. Sowers, eds., Lecture Notes in Control and Inform. Sci. Springer-Verlag, Berlin
    • E. PARDOUX and S. PENG, Backward SDEs and quasilinear PDEs, in Stochastic Partial Differential Equations and Their Applications, B. L. Rozovskii and R. B. Sowers, eds., Lecture Notes in Control and Inform. Sci. 176, Springer-Verlag, Berlin, 1992.
    • (1992) Stochastic Partial Differential Equations and their Applications , vol.176
    • Pardoux, E.1    Peng, S.2
  • 29
    • 68549094439 scopus 로고    scopus 로고
    • Valuation of power plants by utility indifference and numerical computation
    • A. PORCHET, N. TOUZI, and X. WARIN, Valuation of power plants by utility indifference and numerical computation, Math. Methods Oper. Res., 70 (2009), pp. 47-75.
    • (2009) Math. Methods Oper. Res. , vol.70 , pp. 47-75
    • Porchet, A.1    Touzi, N.2    Warin, X.3
  • 30
    • 0001215805 scopus 로고    scopus 로고
    • Evaluation of investment opportunity under entry and exit decisions
    • H. SHIRAKAWA, Evaluation of investment opportunity under entry and exit decisions, Su¯rikaisekikenkyu¯sho Ko¯kyu¯roku, 987 (1997), pp. 107-124.
    • (1997) Su¯rikaisekikenkyu¯sho Ko¯kyu¯roku , vol.987 , pp. 107-124
    • Shirakawa, H.1
  • 31
    • 0012219336 scopus 로고
    • Finite horizon stochastic optimal switching and impulse controls with a viscosity solution approach
    • S. TANG and J. YONG, Finite horizon stochastic optimal switching and impulse controls with a viscosity solution approach, Stoch. Stoch. Rep., 45 (1993), pp. 145-176.
    • (1993) Stoch. Stoch. Rep. , vol.45 , pp. 145-176
    • Tang, S.1    Yong, J.2
  • 32
    • 21344498048 scopus 로고
    • Real options and interactions with financial flexibility
    • L. TRIGEORGIS, Real options and interactions with financial flexibility, Financial Management, 22 (1993), pp. 202-224.
    • (1993) Financial Management , vol.22 , pp. 202-224
    • Trigeorgis, L.1
  • 34
    • 1942478286 scopus 로고    scopus 로고
    • A problem of sequential entry and exit decisions combined with discretionary stopping
    • M. ZERVOS, A problem of sequential entry and exit decisions combined with discretionary stopping, SIAM J. Control Optim., 42 (2003), pp. 397-421.
    • (2003) SIAM J. Control Optim. , vol.42 , pp. 397-421
    • Zervos, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.