Applications of Gram-Charlier expansion and bond moments for pricing of interest rates and credit risk

Applications of Gram-Charlier expansion and bond moments for pricing of interest rates and credit risk
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DOI:
10.1080/14697680903193371
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发表时间:
2010-01-01
影响因子:
1.3
通讯作者:
Watanabe, Toshiaki
Watanabe, Toshiaki
中科院分区:
经济学3区
文献类型:
--
作者:
Tanaka, Keiichi;Yamada, Takeshi;Watanabe, Toshiaki

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本文的目的是证明强大的和灵活的适用性的Gram-Charlier扩展到各种各样的利率相关产品的定价,涉及利率风险和信用风险。在本文中,我们开发了几种衍生品的价格容易实现的近似值;互换,CMS,CMS期权和脆弱的选择。与违约风险相关联,生存条件远期措施的建设。
The purpose of this paper is to demonstrate the powerful and flexible applicability of the Gram-Charlier expansion to pricing of a wide variety of interest rate related products involving interest rate risk and credit risk. In this paper, we develop easily implemented approximations of the prices of several derivatives; swaptions, CMS, CMS options, and vulnerable options. Associated with the default risk, a survival contingent forward measure is constructed.