CMS spread options in quadratic Gaussian model
Tóm tắt
In this paper we present a closed-form approximation for analytic pricing of CMS spread options in multifactor Quadratic Gaussian model. We benchmark prices calculated using closed-form approximation to the one calculated via numerical integration and demonstrate that approximation errors are very small. We also demonstrate that resulting pricing formulae are easy to implement, therefore should be particularly useful in calibration of multifactor Quadratic Gaussian model to CMS spread option prices.
Tài liệu tham khảo
Andersen, L. B., & Piterbarg, V. (2010). Interest rate modeling. UK: Atlantic Financial Press.
Hanton, P., & Henrard, M. (2012). CMS, CMS spreads and similar options in the multi-factor HJM framework. International Journal of Theoretical and Applied Finance, 15(7), 1250048.
Piterbarg, V. (2009). Rates squared. Risk, 22(1), 100–105.
Rakhmonov, F. & Rakhmonov, P (2020) Analytic representation for discount bonds and state variable distribution in Quadratic Gaussian model, “Journal of Computational Finance”.
Tezier, C (2005) Short rate models. Linear and Quadratic Gaussian models.