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Volumn 45, Issue 3, 2002, Pages 283-324

Brownian optimal stopping and random walks

Author keywords

American options; Brownian motion; Optimal stopping; Random walk approximation

Indexed keywords

APPROXIMATION THEORY; BROWNIAN MOVEMENT; COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; INTEGRAL EQUATIONS; INTEGRATION; PROBABILITY DISTRIBUTIONS; THEOREM PROVING; VARIATIONAL TECHNIQUES;

EID: 0037718695     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-001-0033-7     Document Type: Article
Times cited : (25)

References (28)
  • 1
    • 0001712490 scopus 로고
    • Extended weak convergence
    • Unpublished manuscript
    • Aldous D (1979) Extended weak convergence. Unpublished manuscript.
    • (1979)
    • Aldous, D.1
  • 2
    • 0017696248 scopus 로고
    • Error estimates and free-boundary convergence for a finite-difference discretization of a parabolic variational inequality
    • Baiocchi C, Pozzi GA (1977) Error estimates and free-boundary convergence for a finite-difference discretization of a parabolic variational inequality. R.A.I.R.O. Analyse numérique/Numerical Analysis 11: 315-340.
    • (1977) R.A.I.R.O. Analyse Numérique/Numerical Analysis , vol.11 , pp. 315-340
    • Baiocchi, C.1    Pozzi, G.A.2
  • 3
    • 0030560429 scopus 로고    scopus 로고
    • The law of the Euler scheme for stochastic differential equations (I): Convergence rate of the distribution function
    • Bally V, Talay D (1996) The law of the Euler scheme for stochastic differential equations (I): convergence rate of the distribution function. Probability Theory and Related Fields 104: 43-60.
    • (1996) Probability Theory and Related Fields , vol.104 , pp. 43-60
    • Bally, V.1    Talay, D.2
  • 5
    • 0003521037 scopus 로고
    • Applications of variational inequalities in stochastic control
    • North-Holland, Amsterdam
    • Bensoussan A, Lions JL (1982) Applications of Variational Inequalities in Stochastic Control. North-Holland, Amsterdam.
    • (1982)
    • Bensoussan, A.1    Lions, J.L.2
  • 6
    • 0030502126 scopus 로고    scopus 로고
    • American option valuation: New bounds, approximations, and a comparison of existing methods
    • Broadie M, Detemple J (1996) American option valuation: new bounds, approximations, and a comparison of existing methods. Review of Financial Studies 9(4):1211-1250.
    • (1996) Review of Financial Studies , vol.9 , Issue.4 , pp. 1211-1250
    • Broadie, M.1    Detemple, J.2
  • 7
    • 0011463188 scopus 로고
    • American options: Theory and numerical analysis
    • S. Hodges, ed. Manchester University Press, Manchester
    • Carverhill AP, Webber N (1990) American options: theory and numerical analysis. In: Options: Recent Advances in Theory and Practice, S. Hodges, ed. Manchester University Press, Manchester, pp 80-94.
    • (1990) Options: Recent Advances in Theory and Practice , pp. 80-94
    • Carverhill, A.P.1    Webber, N.2
  • 8
    • 0001866003 scopus 로고
    • Les aspects probabilistes du contrôle stochastique
    • Springer-Verlag, Berlin
    • El Karoui N (1981) Les aspects probabilistes du contrôle stochastique. Lecture Notes in Mathematics 876, pp. 72-238, Springer-Verlag, Berlin.
    • (1981) Lecture Notes in Mathematics , vol.876 , pp. 72-238
    • El Karoui, N.1
  • 9
    • 0039148584 scopus 로고
    • Parabolic variational inequalities in one space dimension and smoothness of the free boundary
    • Friedman A (1975) Parabolic variational inequalities in one space dimension and smoothness of the free boundary. Journal of Functional Analysis 18: 151-176.
    • (1975) Journal of Functional Analysis , vol.18 , pp. 151-176
    • Friedman, A.1
  • 10
    • 0000886932 scopus 로고
    • The analytic valuation of American options
    • Kim IJ (1990) The analytic valuation of American options. Review of Financial Studies 3: 547-572.
    • (1990) Review of Financial Studies , vol.3 , pp. 547-572
    • Kim, I.J.1
  • 13
    • 0003395356 scopus 로고
    • Probability methods for approximations in stochastic control and for elliptic equations
    • Academic Press, New York
    • Kushner HJ (1977) Probability Methods for Approximations in Stochastic Control and for Elliptic Equations. Academic Press, New York.
    • (1977)
    • Kushner, H.J.1
  • 15
    • 0042034146 scopus 로고
    • Critical price for an American option near maturity
    • E Bolthausen, M Dozzi and F Russo, eds. Progress in Probability 36. Birkhäuser, Boston
    • Lamberton D (1995) Critical price for an American option near maturity. Proceedings of the Seminar on Stochastic Analysis, E Bolthausen, M Dozzi and F Russo, eds. Progress in Probability 36. Birkhäuser, Boston, pp 353-358.
    • (1995) Proceedings of the Seminar on Stochastic Analysis , pp. 353-358
    • Lamberton, D.1
  • 16
    • 0141981981 scopus 로고    scopus 로고
    • American options
    • DJ Hand and SD Jacka, eds. Arnold, London
    • Lamberton D (1998) American options. In: Statistics and Finance, DJ Hand and SD Jacka, eds. Arnold, London, pp 205-229.
    • (1998) Statistics and Finance , pp. 205-229
    • Lamberton, D.1
  • 17
    • 0032364777 scopus 로고    scopus 로고
    • Error estimates for the binomial approximation of American put options
    • Lamberton D (1998) Error estimates for the binomial approximation of American put options. Annals of Applied Probability 8(1): 206-233.
    • (1998) Annals of Applied Probability , vol.8 , Issue.1 , pp. 206-233
    • Lamberton, D.1
  • 20
    • 0010505563 scopus 로고    scopus 로고
    • Critical price near maturity for an American option on a dividend-paying stock
    • Preprint
    • Lamberton D, Villeneuve S (2000) Critical price near maturity for an American option on a dividend-paying stock. Preprint.
    • (2000)
    • Lamberton, D.1    Villeneuve, S.2
  • 21
    • 0000996567 scopus 로고
    • Weak approximation of solutions of systems of stochastic differential equations
    • Milshtein GN (1985) Weak approximation of solutions of systems of stochastic differential equations. Theory of Probability and Applications 30: 750-766.
    • (1985) Theory of Probability and Applications , vol.30 , pp. 750-766
    • Milshtein, G.N.1
  • 23
    • 0039893700 scopus 로고
    • Limit theorems of probability theory. Sequences of independent random variables
    • Oxford University Press, Oxford
    • Petrov VV (1995) Limit Theorems of Probability Theory. Sequences of Independent Random Variables. Oxford Studies in Probability 4. Oxford University Press, Oxford.
    • (1995) Oxford Studies in Probability , vol.4
    • Petrov, V.V.1
  • 25
    • 0004394334 scopus 로고
    • Discrétisation d'une E.D.S. et calcul approché d'espérances de fonctionnelles de la solution
    • Talay D (1986) Discrétisation d'une E.D.S. et calcul approché d'espérances de fonctionnelles de la solution. Mathematical Modelling and Numerical Analysis 20: 141-179.
    • (1986) Mathematical Modelling and Numerical Analysis , vol.20 , pp. 141-179
    • Talay, D.1
  • 26
    • 0000124397 scopus 로고
    • Expansion of the global error for the numerical schemes solving stochastic differential equations
    • Talay D, Tubaro L (1990) Expansion of the global error for the numerical schemes solving stochastic differential equations. Stochastic Analysis and Applications 8: 94-120.
    • (1990) Stochastic Analysis and Applications , vol.8 , pp. 94-120
    • Talay, D.1    Tubaro, L.2
  • 28
    • 26144442224 scopus 로고    scopus 로고
    • The rate of convergence of the binomial tree scheme
    • Preprint
    • Walsh JB (2001) The rate of convergence of the binomial tree scheme. Preprint.
    • (2001)
    • Walsh, J.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.