메뉴 건너뛰기




Volumn 120, Issue 8, 2010, Pages 1424-1443

Analysis of continuous strict local martingales via h-transforms

Author keywords

Financial bubble; Inverse Bessel process; Local martingale; Strict local martingale

Indexed keywords

COMPUTER SIMULATION; STATISTICS; STOCHASTIC SYSTEMS;

EID: 82655171400     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2010.04.004     Document Type: Article
Times cited : (44)

References (34)
  • 1
    • 0004221604 scopus 로고    scopus 로고
    • Harmonic Function Theory, second ed
    • Springer
    • S. Axler, P. Bourdon, W. Ramey, Harmonic Function Theory, second ed., in: GTM, vol. 137, Springer, 2001.
    • (2001) GTM , vol.137
    • Axler, S.1    Bourdon, P.2    Ramey, W.3
  • 4
    • 24144464306 scopus 로고    scopus 로고
    • Local martingales, bubbles and option prices
    • DOI 10.1007/s00780-005-0162-y
    • A. Cox, D. Hobson, Local martingales, bubbles and option prices, Finance & Stochastics 9 (2005) 477-492. (Pubitemid 41232081)
    • (2005) Finance and Stochastics , vol.9 , Issue.4 , pp. 477-492
    • Cox, A.M.G.1    Hobson, D.G.2
  • 5
    • 21844493180 scopus 로고
    • Arbitrage possibilities in Bessel processes and their relations to local martingales
    • F. Delbaen, W. Schachermayer, Arbitrage possibilities in Bessel processes and their relations to local martingales, Probability Theory and Related Fields 102 (1995) 357-366.
    • (1995) Probability Theory and Related Fields , vol.102 , pp. 357-366
    • Delbaen, F.1    Schachermayer, W.2
  • 6
    • 0001249935 scopus 로고
    • A general version of the fundamental theorem of asset pricing
    • F. Delbaen, W. Schachermayer, A general version of the fundamental theorem of asset pricing, Mathematische Annalen 300 (1994) 463-520.
    • (1994) Mathematische Annalen , vol.300 , pp. 463-520
    • Delbaen, F.1    Schachermayer, W.2
  • 7
    • 0041637573 scopus 로고
    • A Brownian-motion model for the eigenvalues of a random matrix
    • F.J. Dyson, A Brownian-motion model for the eigenvalues of a random matrix, Journal of Mathematical Physics 3 (1962) 1191-1198.
    • (1962) Journal of Mathematical Physics , vol.3 , pp. 1191-1198
    • Dyson, F.J.1
  • 8
    • 70049108369 scopus 로고    scopus 로고
    • Bubbles, convexity and the Black-Scholes equation
    • E. Ekström, J. Tysk, Bubbles, convexity and the Black-Scholes equation, The Annals of Applied Probability 19 (4) (2009) 1369-1384.
    • (2009) The Annals of Applied Probability , vol.19 , Issue.4 , pp. 1369-1384
    • Ekström, E.1    Tysk, J.2
  • 9
    • 0033484276 scopus 로고    scopus 로고
    • The importance of strictly local martingales; Applications to radial Ornstein-Uhlenbeck processes
    • K.D. Elworthy, X.M. Li, M. Yor, The importance of strictly local martingales; applications to radial Ornstein-Uhlenbeck processes, Probability Theory and Related Fields 115 (1999) 325-355.
    • (1999) Probability Theory and Related Fields , vol.115 , pp. 325-355
    • Elworthy, K.D.1    Li, X.M.2    Yor, M.3
  • 10
    • 0038443243 scopus 로고    scopus 로고
    • An introduction to superprocesses
    • American Mathematical Society
    • A.M. Etheridge, An Introduction to Superprocesses, in: University Lecture Series, vol. 20, American Mathematical Society, 2000.
    • (2000) University Lecture Series , vol.20
    • Etheridge, A.M.1
  • 11
    • 51249174086 scopus 로고
    • Measure-valued Markov branching processes conditioned on non-extinction
    • S.N. Evans, E. Perkins, Measure-valued Markov branching processes conditioned on non-extinction, Israel Journal of Mathematics 71 (1990) 329-337.
    • (1990) Israel Journal of Mathematics , vol.71 , pp. 329-337
    • Evans, S.N.1    Perkins, E.2
  • 12
    • 13444254352 scopus 로고    scopus 로고
    • Relative arbitrage in volatility-stabilized markets
    • DOI 10.1007/s10436-004-0011-6
    • R. Fernholz, I. Karatzas, Relative arbitrage in volatility stabilized markets, Annals of Finance 1 (2005) 149-177. (Pubitemid 40216998)
    • (2005) Annals of Finance , vol.1 , Issue.2 , pp. 149-177
    • Fernholz, R.1    Karatzas, I.2
  • 13
    • 11144255004 scopus 로고    scopus 로고
    • Diversity and relative arbitrage in equity markets
    • DOI 10.1007/s00780-004-0129-4
    • R. Fernholz, I. Karatzas, C. Kardaras, Diversity and relative arbitrage in equity markets, Finance & Stochastics 9 (2005) 1-27. (Pubitemid 40042045)
    • (2005) Finance and Stochastics , vol.9 , Issue.1 , pp. 1-27
    • Fernholz, R.1    Karatzas, I.2    Kardaras, C.3
  • 17
    • 73349086550 scopus 로고    scopus 로고
    • A construction of processes with one-dimensional martingale marginals, based upon path-space Ornstein-Uhlenbeck processes and the Brownian sheet
    • F. Hirsch, M. Yor, A construction of processes with one-dimensional martingale marginals, based upon path-space Ornstein-Uhlenbeck processes and the Brownian sheet, Journal of Mathematics of Kyoto University 49 (2) (2009) 389-417.
    • (2009) Journal of Mathematics of Kyoto University , vol.49 , Issue.2 , pp. 389-417
    • Hirsch, F.1    Yor, M.2
  • 18
    • 77951279387 scopus 로고    scopus 로고
    • A construction of processes with one-dimensional martingale marginals, associated with a Lévy process, via its Lévy sheet
    • F. Hirsch, M. Yor, A construction of processes with one-dimensional martingale marginals, associated with a Lévy process, via its Lévy sheet, Journal of Mathematics of Kyoto University 49 (4) (2009) 785-815.
    • (2009) Journal of Mathematics of Kyoto University , vol.49 , Issue.4 , pp. 785-815
    • Hirsch, F.1    Yor, M.2
  • 20
    • 77952736719 scopus 로고    scopus 로고
    • Asset price bubbles in an incomplete market
    • R. Jarrow, P. Protter, K. Shimbo, Asset price bubbles in an incomplete market, Mathematical Finance 20 (2010) 145-185.
    • (2010) Mathematical Finance , vol.20 , pp. 145-185
    • Jarrow, R.1    Protter, P.2    Shimbo, K.3
  • 21
    • 34548066531 scopus 로고    scopus 로고
    • The numéraire portfolio in semimartingale financial models
    • I. Karatzas, C. Kardaras, The numéraire portfolio in semimartingale financial models, Finance & Stochastic 11 (2007) 447-493.
    • (2007) Finance & Stochastic , vol.11 , pp. 447-493
    • Karatzas, I.1    Kardaras, C.2
  • 22
    • 0003242243 scopus 로고
    • Brownian Motion and Stochastic Calculus, second edition
    • Springer
    • I. Karatzas, S. Shreve, Brownian Motion and Stochastic Calculus, second edition, in: Graduate Texts in Mathematics, vol. 113, Springer, 1991.
    • (1991) Graduate Texts in Mathematics , vol.113
    • Karatzas, I.1    Shreve, S.2
  • 23
    • 33845665854 scopus 로고    scopus 로고
    • Orthogonal polynomial ensembles in probability theory
    • W. König, Orthogonal polynomial ensembles in probability theory, Probability Surveys 2 (2005) 385-447.
    • (2005) Probability Surveys , vol.2 , pp. 385-447
    • König, W.1
  • 24
    • 0347357582 scopus 로고    scopus 로고
    • Rational equilibrium asset-pricing bubbles in continuous trading models
    • M. Loewenstein, G.A.Willard, Rational equilibrium asset-pricing bubbles in continuous trading models, Journal of Economic Theory 91 (1) (2000) 17-58.
    • (2000) Journal of Economic Theory , vol.91 , Issue.1 , pp. 17-58
    • Loewenstein, M.1    Willard, G.A.2
  • 25
    • 0000028988 scopus 로고
    • Conceptual proofs of L log L criteria for mean behavior of branching processes
    • R. Lyons, R. Pemantle, Y. Peres, Conceptual proofs of L log L criteria for mean behavior of branching processes, The Annals of Probability 23 (1995) 1125-1138.
    • (1995) The Annals of Probability , vol.23 , pp. 1125-1138
    • Lyons, R.1    Pemantle, R.2    Peres, Y.3
  • 26
    • 33750165923 scopus 로고    scopus 로고
    • Ito's integrated formula for strict local martingales
    • DOI 10.1007/978-3-540-35513-7-13, In Memoriam Paul-Andre Meyer: Seminaire de Probabilites XXXIX
    • D. Madan, M. Yor, Itô's integrated formula for strict local martingales, in: Michel Emery, Marc Yor (Eds.), In Memoriam Paul-André Meyer, Séminaire de Probabilités XXXIX, in: Lecture Notes in Mathematics, vol. 1874, Springer, Berlin, 2006, pp. 157-170. (Pubitemid 44597589)
    • (2006) Lecture Notes in Mathematics , vol.1874 , pp. 157-170
    • Madan, D.B.1    Yor, M.2
  • 27
    • 84865865014 scopus 로고
    • La mesure de Föllmer en théorie de surmartingale
    • Springer, Heidelberg, Berlin, New York
    • P.A. Meyer, La mesure de Föllmer en théorie de surmartingale, in: Sém. de Probabilités VI, in: Lecture Notes in Mathematics, vol. 258, Springer, Heidelberg, Berlin, New York, 1972.
    • (1972) Sém. de Probabilités VI, In: Lecture Notes in Mathematics , vol.258
    • Meyer, P.A.1
  • 29
    • 0001191605 scopus 로고    scopus 로고
    • Random discrete distributions invariant under size-biased permutation
    • J. Pitman, Random discrete distributions invariant under size-biased permutation, Advances in Applied Probability 28 (1996) 525-539. (Pubitemid 126504690)
    • (1996) Advances in Applied Probability , vol.28 , Issue.2 , pp. 525-539
    • Pitman, J.1
  • 30
    • 0036756353 scopus 로고    scopus 로고
    • Arbitrage in continuous complete markets
    • DOI 10.1239/aap/1033662165
    • E. Platen, Arbitrage in continuous complete markets, Adv. in Appl. Probab. 34 (3) (2002) 540-558. (Pubitemid 35297877)
    • (2002) Advances in Applied Probability , vol.34 , Issue.3 , pp. 540-558
    • Platen, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.