Pricing and hedging bond options and sinking-fund bonds under the CIR model

This article derives simple closed-form solutions for computing Greeks of zero-coupon and coupon-bearing bond options under the CIR interest rate model, which are shown to be accurate, easy to implement, and computationally highly efficient. These novel analytical solutions allow us to extend the li...

ver descrição completa

Detalhes bibliográficos
Autor principal: Larguinho, M. (author)
Outros Autores: Dias, J. C. (author), Braumann, C. A. (author)
Formato: article
Idioma:eng
Publicado em: 2022
Assuntos:
Texto completo:http://hdl.handle.net/10071/24701
País:Portugal
Oai:oai:repositorio.iscte-iul.pt:10071/24701
Descrição
Resumo:This article derives simple closed-form solutions for computing Greeks of zero-coupon and coupon-bearing bond options under the CIR interest rate model, which are shown to be accurate, easy to implement, and computationally highly efficient. These novel analytical solutions allow us to extend the literature in two other directions. First, the static hedging portfolio approach is used for pricing and hedging American-style plain-vanilla zero-coupon bond options under the CIR model. Second, we derive analytically the comparative static properties of sinking-fund bonds under the same interest rate modeling setup.