Quadratic Term Structure Models

Quadratic Term Structure Models
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二次期限结构模型

DOI:
10.2139/ssrn.206329
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发表时间:
2000
期刊:
Capital Markets eJournal
影响因子:
--
通讯作者:
Liuren Wu
Liuren Wu
中科院分区:
--
文献类型:
--
作者:
Markus Leippold;Liuren Wu

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我们识别并描述了一类期限结构模型,其中债券收益率是马尔可夫过程的二次函数。我们将该类称为“二次类”,旨在为其未来的实证应用奠定坚实的理论基础。我们在三个方面对文献做出了贡献:(i)我们根据马尔可夫过程,瞬时利率和定价核确定了二次类的充分必要条件。(ii)我们根据它们的时刻条件和特征函数来描述债券收益率和远期利率的性质。(iii)我们为各种固定收益衍生品提供封闭式解决方案。
We identify and characterize a class of term structure models where bond yields are quadratic functions of the Markov process. We label this class as the 'quadratic class' and aim to lay a solid theoretical foundation for its future empirical application. We contribute to the literature in three aspects: (i) We identify the necessary and sufficient conditions for the quadratic class in terms of the Markov process, the instantaneous interest rate, and the pricing kernel. (ii) We characterize the properties of the bond yields and forward rates in terms of their moment conditions and characteristic functions. (iii) We provide closed-form solutions to a wide variety of fixed income derivatives.
DOI: 10.2307/1913601
发表时间: 1987-05-01
期刊: ECONOMETRICA
影响因子: 6.1
作者:
HANSEN, LP;RICHARD, SF
通讯作者: RICHARD, SF