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有交易费市场中套利问题的注记 被引量:9

NOTES ABOUT ARBITRAGE OF MARKET UNDER TRANSACTION COSTS
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摘要 对有交易费的资产模型,本文引入了市场有套利机会的一般定义,并利用辅助鞅和资产折算函数方法,讨论了无套利市场的基本性质,即在可允许投资策略下市场不存在套利机会. In this paper, we introduce the general definition of arbitrage opportunity for the given market model under transaction costs, also discuss the basic properties of no-arbitrage market by using the methods of auxiliary martingales and the discount asset function, that is, under the admissible trading strategy there is not arbitrage opportunity in the market.
出处 《系统科学与数学》 CSCD 北大核心 2001年第3期330-334,共5页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(No.19871049) 山东省中青年科学家奖励基金 山东省自然科学基金(Q98A06114)资助课题
关键词 交易费 套利机会 资产折算 未定权益 资产模型 债券 资产折算函数 Transaction costs, arbitrage opportunity, discount asset, contingent claims.
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参考文献2

  • 1许世蒙.带交易费的未定权益套期保值定价和资产优化(博士学位论文)[M].北京:中国科学院应用数学所,1997..
  • 2许世蒙,博士学位论文,1997年

同被引文献50

  • 1许世蒙,张玉忠,林均昌.带交易费的未定权益有偏好套期保值定价[J].高校应用数学学报(A辑),1998,13(4):414-420. 被引量:6
  • 2[1]KARATZAS I. Lectures on Mathematics of Finance[M]. Providence: American Mathematics Society, 1997. 112-114.
  • 3[2]CHEN Shun. Option pricing theory and applications[M]. Beijing: China Finance Press, 1998. 1-33.
  • 4[3]YONG Jiong-min, RAMA C. Mathematical Finance-Theory and practice[M]. Beijing: Higher Education Press, 2000. 19-137
  • 5[4]CVITANIC J, HUI W. On optimal terminal wealth under transaction costa[J]. Journal of Mathematical Economics, 2001, 35(3):223-231.
  • 6[5]CVITANIC J, KARATZAS I. Hedging and portfolio optimization under transaction costs: A martingale approach[J].Mathematics Finace, 1996, 2: 133-165.
  • 7[6]SJUR D F. Looking for Arbitrage[J]. International Review of Economics and Finance, 2000, 9(1): 1-9.
  • 8[7]XU Shi-meng, ZHANG Yu-zhong. The pricing of the preferred hedging contingent claims under transaction costs[J]. Applied Mathematics A Journal of Chinese University, 1998, 13(4): 414-420.
  • 9[10]XU Shi-meng. Hedging price contingent claims and optimization of asset under transaction costs[D]. Beijing: Institute of Applied Mathematics, Academia Sinica, 1997.
  • 10KARATZAS I. Lectures on Mathematics of Finance[M]. Providence: American Mathematics Society, 1997. 112-114.

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