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Credit risk 1 Default rate 1 Defaultable bond 1 Derivatives pricing 1 Fractional Brownian motion 1 Fractional Vasicek model 1 Hazard rate 1 Interest rate 1 Long range dependence 1 Macroeconomic variables process 1 Option pricing 1 Prediction 1 Short rate 1 Wick product 1
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Biagini, Francesca 1 Fink, Holger 1 Klüppelberg, Claudia 1
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Stochastic Processes and their Applications 1
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A fractional credit model with long range dependent default rate
Biagini, Francesca; Fink, Holger; Klüppelberg, Claudia - In: Stochastic Processes and their Applications 123 (2013) 4, pp. 1319-1347
Motivated by empirical evidence of long range dependence in macroeconomic variables like interest rates we propose a fractional Brownian motion driven model to describe the dynamics of the short and the default rate in a bond market. Aiming at results analogous to those for affine models we...
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