RDP 2012-07: Estimates of Uncertainty around the RBA's Forecasts Appendix C: Percentiles of Forecast Errors

The following tables show select percentiles of absolute forecast errors at different horizons for forecasts from 1993 to 2011. The estimates for the 70th and 90th percentiles are those shown in Figure 3; other columns are constructed in the same manner. Being a 19-year average, these estimates are unlikely to change quickly over time. So readers can easily construct confidence intervals about future forecasts.

Table C1: Underlying Inflation – Quantiles of Absolute Error Distribution
4-quarter change; 1993:Q1–2011:Q4
Horizon Percentile
10% 30% 50% 70% 90%
0 0.03 0.09 0.15 0.21 0.33
1 0.02 0.10 0.22 0.34 0.54
2 0.04 0.14 0.27 0.42 0.70
3 0.08 0.14 0.30 0.50 0.83
4 0.05 0.16 0.29 0.58 1.14
5 0.05 0.14 0.34 0.61 1.27
6 0.09 0.19 0.36 0.65 1.32
7 0.07 0.24 0.48 0.79 1.43
8 0.11 0.29 0.47 0.77 1.19
Table C2: CPI Inflation – Quantiles of Absolute Error Distribution
4-quarter change; 1993:Q1–2011:Q4
Horizon Percentile
10% 30% 50% 70% 90%
0 0.02 0.09 0.15 0.23 0.44
1 0.06 0.17 0.30 0.48 0.88
2 0.06 0.27 0.49 0.77 1.17
3 0.09 0.31 0.62 1.00 1.40
4 0.23 0.49 0.79 1.08 1.87
5 0.19 0.51 0.80 1.13 2.03
6 0.16 0.43 0.84 1.13 2.13
7 0.13 0.43 0.91 1.18 2.02
8 0.11 0.46 0.73 1.22 2.16
Table C3: GDP Growth – Quantiles of Absolute Error Distribution
4-quarter change; 1993:Q1–2011:Q4
Horizon Percentile
10% 30% 50% 70% 90%
0 0.11 0.31 0.55 0.76 1.19
1 0.14 0.46 0.80 1.26 1.91
2 0.25 0.58 0.95 1.38 2.02
3 0.27 0.77 1.05 1.56 2.36
4 0.36 0.72 1.19 1.50 2.25
5 0.38 0.65 0.95 1.50 2.06
6 0.15 0.54 0.93 1.45 2.32
7 0.22 0.59 0.93 1.45 2.40
8 0.15 0.68 0.95 1.50 2.46
Table C4: Unemployment Rate – Quantiles of Absolute Error Distribution
1993:Q1–2011:Q4
Horizon Percentile
10% 30% 50% 70% 90%
0 0.00 0.04 0.10 0.20 0.30
1 0.01 0.1 0.20 0.31 0.60
2 0.08 0.17 0.30 0.47 0.82
3 0.07 0.24 0.35 0.61 1.00
4 0.09 0.29 0.50 0.70 1.20
5 0.15 0.39 0.58 0.86 1.35
6 0.09 0.33 0.67 0.87 1.43
7 0.03 0.27 0.70 0.90 1.46
8 0.13 0.35 0.75 1.10 2.07