A bivariate Hawkes process for interest rate modeling
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文摘

The interest rate is ruled by Hawkes processes modeling the bid and demand for bonds.

Hawkes processes introduce feedback, contagion and memory effects.

A set of equivalent measures preserving the dynamics of the process, is defined.

Bonds and derivatives are priced under risk neutral and forward measures.

The model is fitted to swap rates from 2004 to 2014.

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