There are essentially two ways to compute Credit value-at-Risk. Contrary to the market Value-at-Risk, historic Value-at-Risk obtained by applying to the portfolio a set of scenarios that have occurred in the past is impossible to compute in the case of Credit Value-at-Risk. Indeed, it is worthless to consider a historical scenario of default for the present portfolio since the defaulted obligors are no longer in the loan portfolio ! The two methods to estimate Credit Value-at-Risk are parametric Value-at-Risk and Monte Carlo simulations.