FUNDAMENTAL THEOREM OF ASSET PRICING: A STRENGTHENED VERSION AND A MARTINGALE MEASURE SEARCH AREA

被引:0
|
作者
Lebedev, Andrei, V [1 ]
Romashchenko, Galina S. [1 ]
Zabreiko, Petr P. [1 ]
机构
[1] Belarusian State Univ, Minsk, BELARUS
来源
DOKLADY NATSIONALNOI AKADEMII NAUK BELARUSI | 2022年 / 66卷 / 02期
关键词
arbitrage; martingale measure; plastered cone; total cone; non-annulment cone;
D O I
10.29235/1561-8323-2022-66-2-135-140
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In the article a strengthened version of the 'Fundamental Theorem of Asset Pricing' for a one-period market model is proven. The principal role in this result is played by total and nonanihilating cones.
引用
收藏
页码:135 / 140
页数:6
相关论文
共 23 条
  • [1] Quantitative Fundamental Theorem of Asset Pricing
    Acciaio, Beatrice
    Backhoff-Veraguas, Julio
    Pammer, Gudmund
    MATHEMATICAL FINANCE, 2025,
  • [2] A MODEL-FREE VERSION OF THE FUNDAMENTAL THEOREM OF ASSET PRICING AND THE SUPER-REPLICATION THEOREM
    Acciaio, B.
    Beiglboeck, M.
    Penkner, F.
    Schachermayer, W.
    MATHEMATICAL FINANCE, 2016, 26 (02) : 233 - 251
  • [3] Infinitely many securities and the fundamental theorem of asset pricing
    Balbas, Alejandro
    Downarowicz, Anna
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2007, 4 (03) : 321 - 341
  • [4] Infinitely Many Securities and the Fundamental Theorem of Asset Pricing
    Alejandro Balbás
    Anna Downarowicz
    Mediterranean Journal of Mathematics, 2007, 4 : 321 - 341
  • [5] Two versions of the fundamental theorem of asset pricing
    Berti, Patrizia
    Pratelli, Luca
    Rigo, Pietro
    ELECTRONIC JOURNAL OF PROBABILITY, 2015, 20 : 1 - 21
  • [6] Finitely Additive Probabilities and the Fundamental Theorem of Asset Pricing
    Kardaras, Constantinos
    CONTEMPORARY QUANTITATIVE FINANCE: ESSAYS IN HONOUR OF ECKHARD PLATEN, 2010, : 19 - 34
  • [7] The fundamental theorem of asset pricing under transaction costs
    Guasoni, Paolo
    Lepinette, Emmanuel
    Rasonyi, Miklos
    FINANCE AND STOCHASTICS, 2012, 16 (04) : 741 - 777
  • [8] Fundamental Theorem of Asset Pricing under fixed and proportional transaction costs
    Martin Brown
    Tomasz Zastawniak
    Annals of Finance, 2020, 16 : 423 - 433
  • [9] Fundamental Theorem of Asset Pricing under fixed and proportional transaction costs
    Brown, Martin
    Zastawniak, Tomasz
    ANNALS OF FINANCE, 2020, 16 (03) : 423 - 433
  • [10] The fundamental theorem of asset pricing under transaction costs
    Paolo Guasoni
    Emmanuel Lépinette
    Miklós Rásonyi
    Finance and Stochastics, 2012, 16 : 741 - 777