Consistent Re-Calibration in Yield Curve Modeling: An Example

Popular yield curve models include affine term structure models. These models are usually based on a fixed set of parameters which is calibrated to the actual financial market conditions. Under changing market conditions also parametrization changes. We discuss how parameters need to be updated with changing market conditions such that the re-calibration meets the premise of being free of arbitrage. We demonstrate this (consistent) re-calibration with the Hull-White extended discrete time Vasicek model at hand, but this concept applies to a wide range of related term structure models.