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美式期权的效用最大化问题 被引量:5

UTILITY MAXlMlZATION PROBLEM ON AMERICAN OPTIONS
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摘要 本文考虑有限离散和连续的金融市场模型 ,且市场是有效的 ,研究不同效用函数 U(x)所产生的报酬序列 { U(Sn)(1 +r) n} ,报酬函数 U(St)ert 的最优停止问题即何时达到美式效用最大化问题 .其中 U(x)是由股票价格产生的效用 . In this article,we consider the Optimal stopping problem related to U(S n)(1+r) n and U(S t)e rt i.e when to maximize the utility of American Options in the market which is discrete.continuous and efficient.on the other hand U(x) is utility function based on stock price.
出处 《经济数学》 2004年第1期24-30,共7页 Journal of Quantitative Economics
基金 国家自然科学基金资助项目 No(6 0 0 0 30 1 3)
关键词 最优停时 美式期权 最佳实施期 凸效用 Optimal stopping rule,American option,martingale,optimal exercise moment,convex utility
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参考文献6

  • 1[4]Hull,J. C. ,Options,Future and other Derivatives,Prentice-Hall, 1997.
  • 2[5]Shepp, L. A. and Shiryaev, A. N. , A new look at pricing of the"Russian option", Theory Apple, 399(1994),103-119.
  • 3[6]Bunch D. S. and Johnson H. ,The American put option and its critical stock price,Journal of Finance ,55(2000), 2333-2356
  • 4[7]Huang J,Subrahmanyam M. and Yu. G. ,Pricing and hedging American options:a recusive integration method,Review of financial studies, 9 (1996), 272-300
  • 5[8]Philip Protter, A partial introduction to financial asset pricing theory, Stochastic Processes their Application, 91 ( 2001 ), 169-203
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同被引文献12

  • 1郑承利,韩立岩.基于偏最小二乘回归的美式期权仿真定价方法[J].应用概率统计,2004,20(3):295-300. 被引量:17
  • 2Harrison J. M,Kreps D. M,Martingales and Arbitrage in Multiperiod Seeuritie Markets[J]. Journal of Economic Theory, 1979,20 (3) ,381-408.
  • 3Bunch D. S,Jonnson H, the American put option and its critical stock price[J]. Journal of Finaee, 2000,55 : 2333-2356.
  • 4Huang J, Subrahm anyam M and Yu. G, Pricing and hedging American options:a reeusive intergration method[J]. Review of fi nacial studies, 1996,9 : 272-300.
  • 5Philip Protter. A partial introduction to financial asset pricing theory[J]. Stochastic Processes and there Applications. 2001,91:169-203.
  • 6Harrison J. M, Kreps D. M. Martingales and Arbitrage in Multipefiod Seeuritie Markets[ J ]. Journal of Economic Theory, 1979,20(3):381-408.
  • 7Bunch D. S, Jonnson H. The American put option and its critical stock price[J]. Journal of Finace, 2000,55:2333- 2356.
  • 8Huang J, Subrahm anyam M and Yu. G. Pricing and hedging American options: a recusive intergration method[ J]. Review of finactial studies, 1996,9:272 - 300.
  • 9Philip Protter. A partial introduction to financial asset pricing theory[J]. Stochastic Processes and there Applications. 2001,91 : 169 - 203.
  • 10HARRISON J M, KREPS D M. Martingales and arbitrage in multiperiod securitie markets [J]. Journal of Economic Theory, 1979, 20 (3): 381-408.

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