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| 文件名: Affine_LIBOR_models_driven_by_real-valued_affine_processes.pdf | |
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英文标题:
《Affine LIBOR models driven by real-valued affine processes》 --- 作者: Stefan Waldenberger and Wolfgang M\\\"uller --- 最新提交年份: 2015 --- 英文摘要: The class of affine LIBOR models is appealing since it satisfies three central requirements of interest rate modeling. It is arbitrage-free, interest rates are nonnegative and caplet and swaption prices can be calculated analytically. In order to guarantee nonnegative interest rates affine LIBOR models are driven by nonnegative affine processes, a restriction, which makes it hard to produce volatility smiles. We modify the affine LIBOR models in such a way that real-valued affine processes can be used without destroying the nonnegativity of interest rates. Numerical examples show that in this class of models pronounced volatility smiles are possible. --- 中文摘要: 仿射伦敦银行同业拆借利率模型满足利率建模的三个核心要求,因此极具吸引力。它是无套利的,利率是非负的,caplet和swaption价格可以通过分析计算得出。为了保证非负利率,仿射LIBOR模型由非负仿射过程驱动,这是一个限制,使得很难产生波动。我们对仿射LIBOR模型进行了修改,使得在不破坏利率非负性的情况下,可以使用实值仿射过程。数值例子表明,在这类模型中,显著的波动微笑是可能的。 --- 分类信息: 一级分类:Quantitative Finance 数量金融学 二级分类:Pricing of Securities 证券定价 分类描述:Valuation and hedging of financial securities, their derivatives, and structured products 金融证券及其衍生产品和结构化产品的估值和套期保值 -- --- PDF下载: --> |
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