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首页> 外文期刊>The North American journal of economics and finance >Valuation of callable accreting interest rate swaps: Least squares Monte-Carlo method under Hull-White interest rate model
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Valuation of callable accreting interest rate swaps: Least squares Monte-Carlo method under Hull-White interest rate model

机译:可抵押的增值利率递回:船体 - 白利率模型下最小二乘蒙特卡罗方法

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摘要

Using the Hull-White interest rate model, this paper proposes a valuation method of callable accreting interest rate swap (CAIRS) and how it can be used for managing the risk of zero callable bonds (ZCBs). Firstly, CAIRS can be decomposed into accreting payer interest rate swaps and Bermudan options. Considering the financial valuation of both components, the former can be valued directly while the latter has no close-form due to its early exercise characteristics. Using the Least Squares Monte-Carlo method (LSM) proposed by Longstaff and Schwartz (2001), we find that the two options embedded in ZCB and CAIRS have the same exercise strategy since the terms of the swaps will include the bonds in practice. However, the cash flow of risk management in swaps and bonds can differ when considering the time value. Hence, CAIRS is not the best financial instrument for managing risks of ZCB under the current design.
机译:使用Hull White兴趣模型,本文提出了可调用的增值利率交换(CAIR)的估值方法以及它如何用于管理零可转键(ZCBS)的风险。 首先,可以将Cairs分解成Chcreting Payer利率互换和百慕大选项。 考虑到两种组成部分的财务估值,前者可以直接重视,而后者由于其早期运动特征而没有闭合。 使用Longstaff和Schwartz(2001)提出的最小二乘蒙特卡罗方法(LSM),我们发现ZCB和CEAIR中嵌入的两个选项具有相同的运动策略,因为互换的条款将包括在实践中的债券。 但是,在考虑时间值时,互换和债券中的风险管理的现金流量可能会有所不同。 因此,Cair不是用于在当前设计下管理ZCB风险的最佳金融仪器。

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