Vasicek Short Rate Model

Overview


The Vasicek short rate model is specified by the equation
{% dr_t = (b - a r_t) dt + \sigma dW %}
where {% r_t %} is the short rate at time {% t %} and {% a %} and {% b %} are constants.

Sometimes the terms are re-arranged and it is written as
{% dr_t = a(b - r_t) dt + \sigma dW %}

Topics


  • Bond Pricing
  • Simulating
  • Bond Option Pricing
  • Calibration - calibration is done against 3 selected zero coupon bonds, but will not fit the entire curve