Research Article

Mathematical Modeling of Concentration Risk under the Default Risk Charge Using Probability and Statistics Theory

Table 1

Probability of default (PD) by rating.

Rating (S&P)Corporate (1981–2016) (%)Sovereign (1975–2016) (%)

AAA0.030.03
AA+0.030.03
AA0.030.03
AA−0.030.03
A+0.050.03
A0.060.03
A−0.070.03
BBB+0.120.03
BBB0.170.03
BBB−0.260.03
BB+0.360.20
BB0.580.10
BB−1.051.20
B+2.150.40
B3.892.30
B−7.497.20
CCC/C26.7823.40