Pricing range notes within Wishart affine models

被引:9
作者
Chiarella, Carl [1 ]
Da Fonseca, Jose [2 ]
Grasselli, Martino [3 ,4 ,5 ]
机构
[1] Univ Technol Sydney, Finance Discipline Grp, UTS Business Sch, Broadway, NSW 2007, Australia
[2] Auckland Univ Technol, Dept Finance, Auckland 1142, New Zealand
[3] Univ Padua, Dipartimento Matemat, Padua, Italy
[4] Pole Univ Leonard de Vinci, Devinci Finance Lab, F-92916 Paris, France
[5] Quanta Finanza Srl, Venice, Italy
关键词
Term structure models; Wishart models; Range accrual notes; VOLATILITY; VALUATION; RISK;
D O I
10.1016/j.insmatheco.2014.07.008
中图分类号
F [经济];
学科分类号
02 ;
摘要
We provide analytic pricing formulas for Fixed and Floating Range Accrual Notes within the multifactor Wishart affine framework which extends significantly the standard affine model. Using estimates for three short rate models, two of which are based on the Wishart process whilst the third one belongs to the standard affine framework, we price these structured products using the FFT methodology. Thanks to the Wishart tractability the hedge ratios are also easily computed. As the models are estimated on the same dataset, our results illustrate how the fa discrepancies (meaning differences in the likelihood functions) between models translate in terms of derivatives pricing errors, and we show that the models can produce different price evolutions for the Range Accrual Notes. The differences can be substantial and underline the importance of model risk both from a static and a dynamic perspective. These results are confirmed by an analysis performed at the hedge ratios level. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:193 / 203
页数:11
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