메뉴 건너뛰기




Volumn 8, Issue 4, 1998, Pages 385-403

When does convergence of asset price processes imply convergence of option prices?

Author keywords

Asymptotic arbitrage; Binomial models; Contiguity; Option prices; Weak convergence

Indexed keywords


EID: 0032327044     PISSN: 09601627     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9965.00060     Document Type: Article
Times cited : (28)

References (48)
  • 1
    • 84986743933 scopus 로고
    • Convergence of American option values from discrete- to continuous-time financial models
    • AMIN, K. and A. KHANNA (1994): Convergence of American Option Values from Discrete- to Continuous-Time Financial Models, Math. Finance 4, 289-304.
    • (1994) Math. Finance , vol.4 , pp. 289-304
    • Amin, K.1    Khanna, A.2
  • 2
    • 0001266369 scopus 로고
    • Weak convergence of the variations, iterated integrals and Doleans-Dade exponentials of sequences of semimartingales
    • AVRAM, F. (1988): Weak Convergence of the Variations, Iterated Integrals and Doleans-Dade Exponentials of Sequences of Semimartingales, Ann. Probab. 16, 246-250.
    • (1988) Ann. Probab. , vol.16 , pp. 246-250
    • Avram, F.1
  • 5
    • 84986812410 scopus 로고
    • From discrete to continuous financial models: New convergence results for option pricing
    • CUTLAND, N., E. KOPP, and W. WILLINGER (1993): From Discrete to Continuous Financial Models: New Convergence Results for Option Pricing, Math. Finance 3, 101-123.
    • (1993) Math. Finance , vol.3 , pp. 101-123
    • Cutland, N.1    Kopp, E.2    Willinger, W.3
  • 6
    • 0001249935 scopus 로고
    • A general version of the fundamental theorem of asset pricing
    • DELBAEN, F. and W. SCHACHERMAYER (1994): A General Version of the Fundamental Theorem of Asset Pricing, Math. Annalen 300, 463-520.
    • (1994) Math. Annalen , vol.300 , pp. 463-520
    • Delbaen, F.1    Schachermayer, W.2
  • 7
    • 0000646042 scopus 로고
    • The no-arbitrage property under a change of numéraire
    • DELBAEN, F. and W. SCHACHERMAYER (1995): The No-Arbitrage Property Under a Change of Numéraire, Stoch. Stoch. Rep. 53, 213-226.
    • (1995) Stoch. Stoch. Rep. , vol.53 , pp. 213-226
    • Delbaen, F.1    Schachermayer, W.2
  • 8
    • 84879759824 scopus 로고    scopus 로고
    • The variance-optimal martingale measure for continuous processes
    • DELBAEN, F. and W. SCHACHERMAYER (1996): The Variance-Optimal Martingale Measure for Continuous Processes, Bernoulli 2(1), 81-105.
    • (1996) Bernoulli , vol.2 , Issue.1 , pp. 81-105
    • Delbaen, F.1    Schachermayer, W.2
  • 9
    • 84986753423 scopus 로고
    • From discrete- to continuous-time finance: Weak convergence of the financial gain process
    • DUFFIE, D. and P. PROTTER (1991): From Discrete- to Continuous-Time Finance: Weak Convergence of the Financial Gain Process, Math. Finance 2, 1-15.
    • (1991) Math. Finance , vol.2 , pp. 1-15
    • Duffie, D.1    Protter, P.2
  • 10
    • 84986792436 scopus 로고
    • On modeling questions in security valuation
    • EBERLEIN, E. (1991): On Modeling Questions in Security Valuation, Math. Finance 2, 17-32.
    • (1991) Math. Finance , vol.2 , pp. 17-32
    • Eberlein, E.1
  • 11
    • 0001864064 scopus 로고
    • Hedging of contingent claims under incomplete information
    • Applied Stochastic Analysis, M. H. A. Davis and R. J. Elliott, eds.; London: Gordon and Breach
    • FÖLLMER, H. and M. SCHWEIZER (1991): Hedging of Contingent Claims under Incomplete Information; in Applied Stochastic Analysis, M. H. A. Davis and R. J. Elliott, eds.; no. 5 in Stochastics Monographs. London: Gordon and Breach, 389-414.
    • (1991) Stochastics Monographs , vol.5 , pp. 389-414
    • Föllmer, H.1    Schweizer, M.2
  • 13
    • 0002089436 scopus 로고
    • Option pricing by esscher transforms
    • GERBER, H. U. and E. S. SHIU (1994): Option Pricing by Esscher Transforms, Trans. Soc. Actuar. XLVI, 98-140.
    • (1994) Trans. Soc. Actuar. , vol.46 , pp. 98-140
    • Gerber, H.U.1    Shiu, E.S.2
  • 14
    • 0041058973 scopus 로고    scopus 로고
    • The p-optimal martingale measure and its asymptotic relation with the minimal entropy martingale measure
    • to appear
    • GRANDITS, P. (1998): The p-Optimal Martingale Measure and its Asymptotic Relation with the Minimal Entropy Martingale Measure, Bernoulli (to appear).
    • (1998) Bernoulli
    • Grandits, P.1
  • 16
    • 41649091143 scopus 로고
    • Martingales and stochastic integrals in the theory of continuous trading
    • HARRISON, M. and S. PLISKA (1981): Martingales and Stochastic Integrals in the Theory of Continuous Trading, Stoch. Process. Appl. 11, 215-260.
    • (1981) Stoch. Process. Appl. , vol.11 , pp. 215-260
    • Harrison, M.1    Pliska, S.2
  • 17
    • 0002874199 scopus 로고
    • Convergence from discrete- to continuous-time contingent claims prices
    • HE, H. (1990): Convergence from Discrete- to Continuous-Time Contingent Claims Prices, Rev. Financial Stud. 3, 523-546.
    • (1990) Rev. Financial Stud. , vol.3 , pp. 523-546
    • He, H.1
  • 20
    • 0039420837 scopus 로고
    • Large financial markets: Asymptotic arbitrage and contiguity
    • KABANOV, Y. and D. KRAMKOV (1994): Large Financial Markets: Asymptotic Arbitrage and Contiguity, Theory Probab. Appl. 39, 222-228.
    • (1994) Theory Probab. Appl. , vol.39 , pp. 222-228
    • Kabanov, Y.1    Kramkov, D.2
  • 21
    • 0041058956 scopus 로고    scopus 로고
    • Asymptotic arbitrage in large financial markets
    • KABANOV, Y. and D. KRAMKOV (1998): Asymptotic Arbitrage in Large Financial Markets, Finance Stoch. 2, 143-172.
    • (1998) Finance Stoch. , vol.2 , pp. 143-172
    • Kabanov, Y.1    Kramkov, D.2
  • 23
    • 0030310632 scopus 로고    scopus 로고
    • Asymtotic arbitrage in non-complete large financial markets
    • KLEIN, I. and W. SCHACHERMAYER (1996a): Asymtotic Arbitrage in Non-Complete Large Financial Markets, Theory Probab. Appl. 41, 927-934.
    • (1996) Theory Probab. Appl. , vol.41 , pp. 927-934
    • Klein, I.1    Schachermayer, W.2
  • 24
    • 0030519889 scopus 로고    scopus 로고
    • A quantitative and a dual version of the Halmos-Savage theorem with applications to mathematical finance
    • KLEIN, I. and W. SCHACHERMAYER (1996b): A Quantitative and a Dual Version of the Halmos-Savage Theorem with Applications to Mathematical Finance, Ann. Prob. 24, 867-881.
    • (1996) Ann. Prob. , vol.24 , pp. 867-881
    • Klein, I.1    Schachermayer, W.2
  • 25
    • 0001168654 scopus 로고
    • Random time changes and convergence in distribution under the Meyer-Zheng conditions
    • KURTZ, T. G. (1991): Random Time Changes and Convergence in Distribution Under the Meyer-Zheng Conditions, Ann. Probab. 19, 1010-1034.
    • (1991) Ann. Probab. , vol.19 , pp. 1010-1034
    • Kurtz, T.G.1
  • 26
    • 0000367265 scopus 로고
    • Weak limit theorems for stochastic integrals and stochastic differential equations
    • KURTZ, T. G. and P. PROTTER (1991): Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations, Ann. Probab. 19, 1035-1070.
    • (1991) Ann. Probab. , vol.19 , pp. 1035-1070
    • Kurtz, T.G.1    Protter, P.2
  • 27
    • 0142238908 scopus 로고    scopus 로고
    • Numerical methods for stochastic control problems in finance
    • Mathematics of Derivative Securities, M. A. H. Dempster and S. R. Pliska, eds.; Cambridge University Press
    • KUSHNER, H. J. (1997): Numerical Methods for Stochastic Control Problems in Finance; in Mathematics of Derivative Securities, M. A. H. Dempster and S. R. Pliska, eds.; no. 15 in Publications of the Newton Institute. Cambridge University Press, 504-527.
    • (1997) Publications of the Newton Institute , vol.15 , pp. 504-527
    • Kushner, H.J.1
  • 29
    • 84986841602 scopus 로고
    • Convergence of the critical price in the approximation of American options
    • LAMBERTON, D. (1993): Convergence of the Critical Price in the Approximation of American Options, Math. Finance 3, 179-190.
    • (1993) Math. Finance , vol.3 , pp. 179-190
    • Lamberton, D.1
  • 31
    • 0012233262 scopus 로고
    • The multinomial option pricing model and its brownian and poisson limits
    • MADAN, D. B., F. MILNE, and H. SHEFRIN (1989): The Multinomial Option Pricing Model and Its Brownian and Poisson Limits, Rev. Financial Stud. 2, 251-265.
    • (1989) Rev. Financial Stud. , vol.2 , pp. 251-265
    • Madan, D.B.1    Milne, F.2    Shefrin, H.3
  • 32
    • 0000149164 scopus 로고
    • Condition UT et stabilité en loi des solutions d'équation différentielles stochastiques
    • LNM 1485
    • MÉMIN, J. and L. SLOMINSKI (1991): Condition UT et stabilité en loi des solutions d'équation différentielles stochastiques, Sem. Prob. XXV, 162-177, LNM 1485.
    • (1991) Sem. Prob. , vol.25 , pp. 162-177
    • Mémin, J.1    Slominski, L.2
  • 33
    • 0001756851 scopus 로고
    • Tightness criteria for laws of semimartingales
    • MEYER, P. A. and W. A. ZHENG (1984): Tightness Criteria for Laws of Semimartingales, Ann. Inst. H. Poincaré 20.
    • (1984) Ann. Inst. H. Poincaré , vol.20
    • Meyer, P.A.1    Zheng, W.A.2
  • 34
    • 0041058957 scopus 로고
    • Canonical measures and entropy
    • Proc. Seventh Japan-Russia Symposium, S. Watanabe, M. Fukushima, Y. Prohorov, and A. Shiryaev, eds.; Tokyo: World Scientific
    • MIYAHARA, Y. (1995): Canonical Measures and Entropy; in Proc. Seventh Japan-Russia Symposium, S. Watanabe, M. Fukushima, Y. Prohorov, and A. Shiryaev, eds.; no. 17 in Probability Theory and Mathematical Statistics. Tokyo: World Scientific.
    • (1995) Probability Theory and Mathematical Statistics , vol.17
    • Miyahara, Y.1
  • 35
    • 0009023873 scopus 로고    scopus 로고
    • Functional convergence of snell envelopes; applications to American options approximations
    • MULINACCI, S. and M. PRATELLI (1996): Functional Convergence of Snell Envelopes; Applications to American Options Approximations, Finance Stoch. 2, 311-327.
    • (1996) Finance Stoch. , vol.2 , pp. 311-327
    • Mulinacci, S.1    Pratelli, M.2
  • 36
    • 0000854067 scopus 로고
    • Simple binomial processes as diffusion approximations in financial models
    • NELSON, D. B. and K. RAMASWAMY (1990): Simple Binomial Processes as Diffusion Approximations in Financial Models, Rev. Financial Stud. 3, 393-430.
    • (1990) Rev. Financial Stud. , vol.3 , pp. 393-430
    • Nelson, D.B.1    Ramaswamy, K.2
  • 41
    • 0004704217 scopus 로고
    • Convergence of option values under incompleteness
    • RUNGGALDIER, W. J. and M. SCHWEIZER (1995): Convergence of Option Values under Incompleteness, Progr. in Probab. 36, 365-384.
    • (1995) Progr. in Probab. , vol.36 , pp. 365-384
    • Runggaldier, W.J.1    Schweizer, M.2
  • 42
    • 0030516623 scopus 로고    scopus 로고
    • Approximation pricing and the variance-optimal martingale measure
    • SCHWEIZER, M. (1996): Approximation Pricing and the Variance-Optimal Martingale Measure, Ann. Probab. 24, 206-236.
    • (1996) Ann. Probab. , vol.24 , pp. 206-236
    • Schweizer, M.1
  • 44
    • 0041058952 scopus 로고
    • Toward the theory of pricing of options of both European and American types. I. Discrete time
    • SHIRYAEV, A. N., Y. M. KABANOV, D. O. KRAMKOV, and A. V. MEL'NIKOV (1994): Toward the Theory of Pricing of Options of Both European and American Types. I. Discrete Time, Theory Prob. Appl. 39(1), 14-60.
    • (1994) Theory Prob. Appl. , vol.39 , Issue.1 , pp. 14-60
    • Shiryaev, A.N.1    Kabanov, Y.M.2    Kramkov, D.O.3    Mel'nikov, A.V.4
  • 46
    • 0013530573 scopus 로고
    • Loi de semimartingales et critères de compacité
    • LNM 1123
    • STRICKER, C. (1984/85): Loi de semimartingales et critères de compacité, Sem. Prob. XIX, 209-217, LNM 1123.
    • (1984) Sem. Prob. , vol.19 , pp. 209-217
    • Stricker, C.1
  • 47
    • 84986841140 scopus 로고
    • Toward a convergence theory for continuous stochastic securities market models
    • WILLINGER, W. and M. S. TAQQU (1991): Toward a Convergence Theory for Continuous Stochastic Securities Market Models, Math. Finance 1, 55-99.
    • (1991) Math. Finance , vol.1 , pp. 55-99
    • Willinger, W.1    Taqqu, M.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.