
doi: 10.2139/ssrn.1787018
This paper introduces a new macro-financial continuous-time model for the term structure of interest rates assuming that the instantaneous interest rate converges to a certain long-term mean level that depends on the business cycle. In short, our new model assumes that this mean reversion level is modeled by using a harmonic oscillator. Under this assumption, we compute closed-form expressions for the values of different fixed income and interest rate derivatives and for relevant risk management measures.
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