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  • 學位論文

離散回顧式多資產極值選擇權之評價

Valuation of Discrete Lookback-Style Maximum or Minimum Option of Multiple Assets

指導教授 : 陳思寬 王之彥

摘要


並列摘要


There are two contributions in this article. The first is to offer a general version of martingale pricing method to value the class of options whose payoffs depend on historical prices of multiple assets. The second is to derive a Black-Scholes-type closed form formula of options on the maximum or minimum of multiple assets’ discrete lookback prices. In addition, the formula is able to degenerate to the one for options on the maximum or minimum of multiple assets in Johnson (1987) and the one for discrete lookback option for one asset in Heynen and Kat (1995).

參考文獻


[2] Black, F. and M. Scholes, 1973, The Pricing of Options and Corporate Liabilities, Journal of Political Economics 81, 637-659.
[3] Cheng, W. Y. and S. Zhang, 2000, The Analytics of Reset Options, Journal of Derivatives 8, 59-71.
[4] Conze, A. and Viswanathan, 1991, Path Dependent Options: The Case of Lookback Options. The Journal of Finance 46, 1893-1907.
[5] Goldman, B. M., H. B. Sosin, and L. A. Shepp, 1979, On Contingent Claim That Insure Ex-post Optimal Stock Market Timing, Journal of Finance 34, 401-414.
[6] Goldman, B. M., H. B. Sosin, and M. A. Gatto, 1979, Path Dependent Options: "Buy at the Low, Sell at the High", Journal of Finance 34, 1111-1127.

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