In this paper we present Libor-OIS interest rate spread model. For the purpose of understanding the model, we give main definitions of major reference rates such as Libor, Euribor, EONIA, FFR and OIS. They help us to understand the reference rates and the interbank market. We take a closer look at the movement of the Libor-OIS interest rate spread, which has very clearly differed in the pre-crisis and post-crisis years beginning in 2007-2008. We present the main factors for the movement of the spread such as credit and liquidity risks. The consequence of such a movement is that new financial models were required in order to evaluate derivatives. We present the key difference that distinguishes pre-crisis and post-crisis models in general. Furthermore, the model of Libor-OIS spread is presented in detail, along with the emphasis on the differences between the pre-crisis and post-crisis models.
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