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來源文獻資料
外文摘要
引文資料
題名:
Pricing and Hedging Strategy for Options with Default and Liquidity Risk
書刊名:
Asia Pacific Management Review
作者:
Jiang, I-ming
/
Liu, Yu-hong
/
Feng, Zhi-yuan
/
Lai, Meng-kun
出版日期:
2012
卷期:
17:2
頁次:
頁127-144
主題關鍵詞:
Fuzzy measure theory
;
Vulnerable option
;
Liquidity risk
;
Credit risk
;
Non-identical rationality
原始連結:
連回原系統網址
相關次數:
被引用次數:期刊(
1
) 博士論文(0) 專書(0) 專書論文(0)
排除自我引用:
1
共同引用:0
點閱:26
This study applies fuzzy set theory to the vulnerable Black-Scholes (1973) or Merton (1973) formula. Expectations of heterogeneity mean option prices are expected to be imprecise, thus making it natural to consider fuzziness to handle this. This article presents a fuzzy approach to value Black-Scholes options subject to non-identical rationality and correlated credit risk. Although no analytical solution is available, this study employs a fuzzy approach to derive an approximate analytical expression for the upper and lower bounds of the European fuzzy vulnerable option price. Furthermore, the Greeks and hedging strategy of the proposed model are also provided in this article.
以文找文
期刊論文
1.
Barber, Brad M.、Odean, Terrance(2002)。Online Investors: Do the Slow Die First?。Review of Financial Studies,15(2),455-487。
2.
Klein, P.、Inglis, M.(1999)。Valuation of European options subject to financial distress and interest rate risk。Journal of Derivatives,6(3),44-56。
3.
Liao, S. L.、Huang, H. H.(2005)。Pricing Black-Scholes Options with Correlated Interest Rate Risk and Credit Risk: An Extension。Quantitative Finance,5(5),443-457。
4.
Johnson, Herb、Stulz, Rene(1987)。The Pricing of Options with Default Risk。Journal of Finance,42(2),267-280。
5.
Kwakernaak, H.(1978)。Fuzzy Random Variables--I. Definitions and Theorems。Information Sciences,15,1-29。
6.
Black, F.、Scholes, M.(1973)。The Valuation of Options and Corporate Liabilities。Journal of Political Economy,81(3),637-659。
7.
Klein, P. C.、Inglis, M.(2001)。Pricing vulnerable European options when the option's payoff can increase the risk of financial distress。Journal of Banking and Finance,25(5),993-1012。
8.
Klein, Peter(1996)。Pricing Black-Scholes Options with Correlated Credit Risk。Journal of Banking and Finance,20(7),1211-1229。
9.
Puri, M. L.、Ralescu, D. A.(1986)。Fuzzy random variables。Journal of Mathematical Analysis and Applications,114,409-422。
10.
Hirshleifer, D.(2001)。Investor psychology and asset pricing。Journal of Finance,56(4),1533-1597。
11.
Zadeh, L. A.(1973)。Outline of a new approach to the analysis of complex systems and decision processes。IEEE Transactions on Systems, Man, and Cybernetics,3(1),28-44。
12.
Choquet, Gustave(1953)。Theory of capacities。Journal of Annales de l’Institut Fourier,5,131-295。
13.
Jarrow, Robert A.、Turnbull, Stuart M.(1995)。Pricing Derivatives on Financial Securities Subject to Credit Risk。Journal of Finance,50(1),53-85。
14.
Merton, Robert C.(1973)。Theory of Rational Option Pricing。Bell Journal of Economics and Management Science,4(1),141-183。
15.
Odean, Terrance(1998)。Volume, Volatility, Price, and Profit When All Traders Are Above Average。Journal of Finance,53(6),1887-1934。
16.
Bellman, R. E.、Zadeh, L. A.(1970)。Decision-making in a fuzzy environment。Management Science,17(4),B141-B164。
17.
Zadeh, Lotfi Asker(1965)。Fuzzy sets。Information and Control,8(3),338-353。
18.
Daniel, Kent D.、Hirshleifer, David A.、Subrahmanyam, Avanidhar(1998)。Investor Psychology and Security Market under- and Overreactions。The Journal of Finance,53(6),1839-1885。
19.
Carr, P.、Geman, H.、Madan, D. B.(2001)。Pricing and hedging in incomplete markets。Journal of Financial Economics,62(1),131-167。
20.
Brenner, L.A.、Koehler, D.J.、Liberman, V.、Tversky, A.(1996)。Overconfidence in probability and frequency judgments。Organizational Behavior and Human Decision Processes,65(3),212-219。
21.
Hui C.H.、Lo, C.F.、Lee, H.C.(2003)。Pricing vulnerable black-scholes options with dynamic default barriers。Journal of Derivatives,10(4),62-69。
22.
Cherubini, U.(1997)。Fuzzy measures and asset prices: Accounting for information ambiguity。Applied Mathematical Finance,4(3),135-149。
23.
Han, L.Y.、Zheng, C.L.(2005)。Fuzzy options with application of default risk analysis for municipal bonds in China。Nonlinear Analysis,63(5-7),2353-2365。
24.
Cherbini, U.、Della Lunga G.(2001)。Liquidity and credit risk。Applied Mathematical Finance,8(2),79-95。
25.
Dempster, A.P.(1967)。Upper and lower probabilities induced by a multivalued mapping。The Annals of Mathematical Statistics,38(2),325-339。
26.
Hui, C.H.、Lo, C.F.、Lee, H.C.(2007)。Pricing vulnerable European options with stochastic default barriers。IMA Journal of Management Mathematics,18(4),315-329。
27.
Hull, J.C.、White, A.(1995)。The impact of default risk on the prices of options and other derivative securities。Journal of Banking and Finance,19(2),299-322。
會議論文
1.
Cherubini, U.、Della Lunga G.(1997)。Distribution risk and credit spread27-30。
2.
Ye, H.、Zhang, Q.(1997)。On the applied basis of λ-addictive fuzzy measure。Beijing, China。(1),325-328。
圖書
1.
Shafer, G.(1976)。A Mathematical Theory of Evidence。Princeton, NJ:Princeton University Press。
2.
Elliott, R. J.、Kopp, P. E.(1999)。Mathematics of Financial Markets。Springer。
3.
Dubois D.、Prade H.、Sandri, S.(1993)。On possibility/probability transformations。Paper presented at Fuzzy Logic: State of the Art.。
4.
Alpert, M.、Raiffa, H.(1982)。A progress report on the training of probability assessors。Judgement under Uncertainty: Heuristics and Biases。UK。
圖書論文
1.
Camerer, C.(1995)。Individual decision making。Handbook of Experimental Economics。Princeton, New Jersey:Princeton University Press。
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