The profound financial crisis generated by the collapse of Lehman Brothers and the European sovereign debt crisis in 2011 have caused negative values of government bond yields both in the U.S.A. and in the EURO area. This paper investigates whether the use of models which allow for negative...

This paper deals with a variation of the Heston hybrid model with stochastic interest rate illustrated in Grzelak and Oosterlee 2011. This variation has the advantage of being analytically tractable while preserving the good features of the Heston hybrid model in in Grzelak and Oosterlee 2011....

We present a hybrid Heston model with a local stochastic volatility to describe government bond yield dynamics. The model is analytically tractable and, therefore, can be efficiently estimated using the maximum likelihood approach. Twofold is the model contribution. First, it captures changes in...