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An Analysis of Benefit Flows in New Zealand Using a Social Accounting Framework WP 13/01

Appendix C. Forward Coefficients Matrices

This appendix presents the forward coefficients matrices for quarterly movements among benefit categories. Two sets of tables are reported, covering pre-GFC and post-GFC periods. An entry of 0.000 indicates that the proportion moving between the relevant categories was zero to 3 decimal places. Where the values were zero to 4 decimal places, there is a blank entry in the table: in most of these cases there were in fact no recorded flows.

Table 4 - Transition Rates from DPB Part 1: Pre GFC
  DPB 18_0_e DPB 18_0_f DPB 18_0_no DPB 18_5+_no DPB 18_5+_wrk DPB 18_nc_no DPB 18_nc_wrk DPB 30_0_e DPB 30_0_f DPB 30_0_no
DPB18_0_e 0.670 0.392 0.035 0.000 0.005 0.001
DPB18_0_f 0.007 0.127 0.001
DPB18_0_no 0.140 0.177 0.824 0.022 0.003 0.004 0.001
DPB18_5+_no 0.006 0.007 0.021 0.775 0.118 0.002 0.001
DPB18_5+_wrk 0.027 0.012 0.001 0.046 0.687 0.001
DPB18_nc_no 0.001 0.005 0.008 0.001 0.947 0.169
DPB18_nc_wrk 0.001 0.001 0.000 0.000 0.002 0.024 0.796
DPB30_0_e 0.013 0.004 0.001 0.000 0.000 0.680 0.330 0.038
DPB30_0_f 0.000 0.009 0.007 0.174 0.001
DPB30_0_no 0.003 0.003 0.013 0.001 0.107 0.174 0.792
DPB30_14_e 0.000 0.001
DPB30_14_f 0.002
DPB30_14_no 0.001 0.000 0.002
DPB30_5_e 0.001 0.001 0.002 0.040 0.064 0.025 0.003
DPB30_5_f 0.000 0.001 0.001 0.013
DPB30_5_no 0.000 0.001 0.044 0.007 0.009 0.011 0.051
DPB30_nc_e 0.000 0.001 0.023 0.001 0.002 0.000
DPB30_nc_f 0.000
DPB30_nc_no 0.000 0.020 0.005 0.001 0.002 0.003
DPB60_no 0.000
DPB60_wrk
IB18_e
IB18_f
IB18_no 0.000 0.001
IB30_e
IB30_f
IB30_no 0.000 0.002
IB60_no
IB60_wrk
SB18_e 0.000
SB18_f
SB18_no 0.001 0.001 0.003 0.003 0.000 0.001
SB30_e 0.000
SB30_f
SB30_no 0.000 0.000 0.000 0.001 0.003
SB60_no
SB60_wrk
u18
UB18_e 0.001 0.000 0.000 0.000
UB18_f
UB18_no 0.001 0.001 0.004 0.004 0.001 0.001 0.000
UB30_e 0.001 0.000
UB30_f
UB30_no 0.000 0.000 0.001 0.002 0.004
UB60_no
UB60_wrk
Misc 0.000 0.001 0.001 0.000 0.001 0.002

Table 5 - Transition Rates from DPB Part 2: Pre GFC
  DPB 30_14_e DPB 30_14_f DPB 30_14_no DPB 30_5_e DPB 30_5_f DPB 30_5_no DPB 30_nc_e DPB 30_nc_f DPB 30_nc_no DPB 60_no DPB 60_wrk
DPB18_0S_e
DPB18_0_f
DPB18_0_no
DPB18_5+_no
DPB18_5+_wrk
DPB18_nc_no
DPB18_nc_wrk
DPB30_0_e 0.001 0.001 0.000 0.000
DPB30_0_f
DPB30_0_no 0.000 0.001 0.003 0.001 0.001 0.006 0.001
DPB30_14_e 0.784 0.380 0.042 0.030 0.016 0.002 0.003 0.004 0.000
DPB30_14_f 0.008 0.247 0.001 0.000 0.009 0.003
DPB30_14_no 0.081 0.132 0.844 0.004 0.003 0.035 0.001 0.005
DPB30_5_e 0.002 0.000 0.746 0.384 0.054 0.001 0.001
DPB30_5_f 0.008 0.209 0.002
DPB30_5_no 0.000 0.004 0.094 0.137 0.803 0.000 0.002
DPB30_nc_e 0.014 0.013 0.001 0.001 0.000 0.000 0.853 0.460 0.038
DPB30_nc_f 0.000 0.002 0.001 0.008 0.235 0.001
DPB30_nc_no 0.004 0.002 0.023 0.000 0.002 0.004 0.092 0.182 0.925
DPB60_no 0.001 0.000 0.001 0.004 0.010 0.879 0.058
DPB60_wrk 0.001 0.000 0.015 0.021 0.000 0.025 0.847
IB18_e
IB18_f
IB18_no
IB30_e 0.001 0.000 0.000 0.000 0.000 0.000 0.000
IB30_f
IB30_no 0.001 0.004 0.000 0.000 0.003 0.001 0.003 0.002
IB60_no 0.006 0.001
IB60_wrk 0.000 0.001
SB18_e
SB18_f
SB18_no
SB30_e 0.002 0.002 0.000 0.000 0.000
SB30_f 0.000
SB30_no 0.002 0.002 0.008 0.001 0.001 0.003 0.000 0.001
SB60_no 0.000 0.000
SB60_wrk 0.000
u18
UB18_e
UB18_f
UB18_no
UB30_e 0.003 0.001 0.001 0.000 0.000 0.000
UB30_f 0.000
UB30_no 0.003 0.002 0.009 0.001 0.000 0.003 0.001
UB60_no 0.001 0.000
UB60_wrk 0.000
Misc 0.002 0.001 0.003 0.001 0.001 0.002 0.000 0.001 0.001 0.001

Table 6 - Transition Rates from IB: Pre GFC
  IB18_e IB18_f IB18_no IB30_e IB30_f IB30_no IB60_no IB60_wrk
DPB18_0_e
DPB18_0_f 0.004
DPB18_0_no 0.000
DPB18_5+_no 0.000
DPB18_5+_wrk
DPB18_nc_no 0.000 0.000
DPB18_nc_wrk
DPB30_0_e
DPB30_0_f
DPB30_0_no
DPB30_14_e 0.001
DPB30_14_f 0.001
DPB30_14_no
DPB30_5_e
DPB30_5_f
DPB30_5_no
DPB30_nc_e
DPB30_nc_f
DPB30_nc_no
DPB60_no
DPB60_wrk
IB18_e 0.819 0.422 0.022
IB18_f 0.006 0.168 0.001
IB18_no 0.101 0.194 0.928
IB30_e 0.021 0.009 0.001 0.861 0.425 0.015
IB30_f 0.000 0.009 0.004 0.189 0.000
IB30_no 0.002 0.004 0.022 0.093 0.188 0.954
IB60_no 0.001 0.001 0.012 0.932 0.082
IB60_wrk 0.010 0.004 0.008 0.861
SB18_e 0.001
SB18_f 0.000 0.004
SB18_no 0.000 0.001
SB30_e 0.001
SB30_f 0.000 0.001
SB30_no 0.001 0.001 0.001
SB60_no 0.000 0.000
SB60_wrk 0.000
u18
UB18_e 0.000
UB18_f
UB18_no 0.000 0.000
UB30_e
UB30_f 0.001
UB30_no 0.000 0.000
UB60_no
UB60_wrk
Misc

Table 7 - Transition Rates from SB: Pre GFC
  SB18_e SB18_f SB18_no SB30_e SB30_f SB30_no SB60_no SB60_wrk
DPB18_0_e 0.002 0.001
DPB18_0_f
DPB18_0_no 0.017 0.015 0.039
DPB18_5+_no 0.000 0.001
DPB18_5+_wrk 0.000 0.003
DPB18_nc_no 0.008 0.008 0.021
DPB18_nc_wrk 0.001 0.000
DPB30_0_e 0.000 0.001
DPB30_0_f
DPB30_0_no 0.000 0.001 0.001 0.002
DPB30_14_e 0.001
DPB30_14_f
DPB30_14_no 0.001 0.001 0.001
DPB30_5_e 0.001 0.000
DPB30_5_f
DPB30_5_no 0.001 0.001 0.002
DPB30_nc_e 0.000 0.001 0.001
DPB30_nc_f
DPB30_nc_no 0.000 0.000 0.001 0.002
DPB60_no 0.001 0.000
DPB60_wrk 0.000 0.002
IB18_e 0.006 0.003 0.000
IB18_f
IB18_no 0.007 0.003 0.013
IB30_e 0.000 0.017 0.007 0.001
IB30_f 0.000 0.002
IB30_no 0.000 0.000 0.012 0.008 0.029
IB60_no 0.000 0.000 0.054 0.016
IB60_wrk 0.000 0.001 0.028
SB18_e 0.524 0.271 0.013
SB18_f 0.013 0.124 0.001
SB18_no 0.148 0.243 0.671
SB30_e 0.014 0.003 0.000 0.710 0.335 0.016
SB30_f 0.000 0.010 0.015 0.203 0.002
SB30_no 0.002 0.014 0.112 0.221 0.816
SB60_no 0.001 0.003 0.007 0.814 0.078
SB60_wrk 0.011 0.004 0.000 0.015 0.765
u18
UB18_e 0.004 0.010 0.001
UB18_f 0.001 0.000
UB18_no 0.013 0.005 0.025
UB30_e 0.000 0.002 0.001 0.001
UB30_f 0.000 0.000 0.002
UB30_no 0.000 0.000 0.007 0.004 0.015
UB60_no 0.009 0.004
UB60_wrk 0.000 0.003
Misc 0.003 0.003 0.005 0.002 0.001 0.003 0.001 0.000

Table 8 - Transition Rates from UB: Pre GFC
  u18 UB18_e UB18_f UB18_no UB30_e UB30_f UB30_no UB60_no UB60_wrk misc
DPB18_0_e 0.001 0.000 0.001 0.000
DPB18_0_f
DPB18_0_no 0.026 0.002 0.003 0.005 0.002
DPB18_5+_no 0.000 0.001 0.000
DPB18_5+_wrk 0.000
DPB18_nc_no 0.016 0.001 0.001 0.002 0.001
DPB18_nc_wrk 0.001 0.000
DPB30_0_e 0.001 0.000
DPB30_0_f
DPB30_0_no 0.001 0.002 0.001
DPB30_14_e 0.001 0.001 0.000 0.000
DPB30_14_f
DPB30_14_no 0.001 0.000 0.001 0.001
DPB30_5_e 0.002 0.001 0.000 0.000
DPB30_5_f 0.000
DPB30_5_no 0.002 0.001 0.003 0.002
DPB30_nc_e 0.001 0.000
DPB30_nc_f 0.000
DPB30_nc_no 0.001 0.002 0.002
DPB60_no 0.002 0.001 0.001
DPB60_wrk 0.000 0.002 0.000
IB18_e 0.004 0.000
IB18_f
IB18_no 0.039 0.000 0.001 0.000
IB30_e 0.001 0.001 0.000
IB30_f
IB30_no 0.001 0.001 0.003 0.001
IB60_no 0.006 0.001 0.000
IB60_wrk 0.000 0.001
SB18_e 0.000 0.000 0.001 0.000
SB18_f
SB18_no 0.009 0.004 0.004 0.034 0.010
SB30_e 0.000 0.000 0.003 0.001
SB30_f 0.000
SB30_no 0.000 0.003 0.002 0.037 0.010
SB60_no 0.000 0.019 0.000 0.001
SB60_wrk 0.003 0.000
u18 0.695
UB18_e 0.003 0.307 0.177 0.017 0.002
UB18_f 0.000 0.011 0.071 0.002 0.000
UB18_no 0.031 0.092 0.144 0.464 0.036
UB30_e 0.006 0.003 0.000 0.522 0.246 0.019 0.002
UB30_f 0.000 0.002 0.021 0.139 0.003 0.000
UB30_no 0.002 0.002 0.008 0.092 0.163 0.630 0.025
UB60_no 0.001 0.001 0.005 0.835 0.080 0.001
UB60_wrk 0.007 0.004 0.000 0.014 0.761
Misc 0.012 0.003 0.001 0.042 0.004 0.003 0.024 0.003 0.001 0.745

Table 9 - Transition Rates from DPB Part 1: Post GFC
  DPB 18_0_e DPB 18_0_f DPB 18_0_no DPB 18 _5+_no DPB 18 _5+_wrk DPB 18_nc_no DPB 18 _nc_wrk DPB 30_0_e DPB 30_0_f DPB 30_0_no
DPB18_0_e 0.617 0.235 0.024 0.000 0.005 0.001
DPB18_0_f 0.007 0.140 0.001
DPB18_0_no 0.132 0.203 0.772 0.018 0.005 0.003 0.000
DPB18_5+_no 0.005 0.010 0.018 0.728 0.119 0.002 0.000
DPB18_5+_wrk 0.024 0.028 0.001 0.030 0.629 0.001
DPB18_nc_no 0.004 0.005 0.020 0.041 0.005 0.955 0.192
DPB18_nc_wrk 0.004 0.005 0.001 0.001 0.011 0.018 0.774
DPB30_0_e 0.011 0.005 0.000 0.000 0.626 0.299 0.028
DPB30_0_f 0.008 0.144 0.002
DPB30_0_no 0.002 0.003 0.012 0.001 0.000 0.100 0.179 0.735
DPB30_14_e 0.001 0.001
DPB30_14_f
DPB30_14_no 0.001 0.000 0.001 0.004
DPB30_5_e 0.001 0.002 0.042 0.060 0.021 0.002
DPB30_5_f 0.000 0.001 0.000 0.007 0.000
DPB30_5_no 0.000 0.001 0.040 0.005 0.009 0.003 0.046
DPB30_nc_e 0.000 0.000 0.001 0.001 0.025 0.007 0.010 0.000
DPB30_nc_f 0.000
DPB30_nc_no 0.000 0.003 0.000 0.020 0.005 0.003 0.014 0.017
DPB60_no 0.000
DPB60_wrk
IB18_e
IB18_f
IB18_no 0.001 0.001
IB30_e
IB30_f
IB30_no 0.000 0.002
IB60_no
IB60_wrk
SB18_e 0.000 0.000 0.000 0.000
SB18_f
SB18_no 0.002 0.006 0.005 0.001 0.001
SB30_e
SB30_f
SB30_no 0.000 0.000 0.006
SB60_no
SB60_wrk
u18
UB18_e 0.001 0.000 0.000 0.001
UB18_f
UB18_no 0.002 0.005 0.009 0.008 0.002 0.000
UB30_e 0.000 0.001 0.003 0.000
UB30_f
UB30_no 0.000 0.000 0.000 0.000 0.001 0.009
UB60_no
UB60_wrk
misc 0.001 0.002 0.003 0.001 0.002 0.005

Table 10 - Transition Rates from DPB Part 2: Post GFC
  DPB 30_14_e DPB 30_14_f DPB 30_14_no DPB 30_5_e DPB 30_5_f DPB 30_5_no DPB 30_nc_e DPB 30_nc_f DPB 30_nc_no DPB 60_no DPB 60_wrk
DPB18_0_e
DPB18_0_f
DPB18_0_no
DPB18_5+_no
DPB18_5+_wrk
DPB18_nc_no
DPB18_nc_wrk
DPB30_0_e 0.001 0.001 0.000 0.000
DPB30_0_f
DPB30_0_no 0.000 0.002 0.001 0.006 0.000 0.001
DPB30_14_e 0.725 0.354 0.029 0.026 0.018 0.001 0.002 0.001 0.000
DPB30_14_f 0.010 0.218 0.001 0.001 0.007 0.000 0.001
DPB30_14_no 0.085 0.143 0.789 0.004 0.007 0.030 0.001 0.001 0.004
DPB30_5_e 0.001 0.000 0.683 0.302 0.040 0.001
DPB30_5_f 0.011 0.199 0.002
DPB30_5_no 0.000 0.003 0.089 0.149 0.744 0.000 0.001
DPB30_nc_e 0.048 0.030 0.002 0.008 0.005 0.001 0.841 0.498 0.028
DPB30_nc_f 0.000 0.011 0.000 0.003 0.009 0.299 0.001
DPB30_nc_no 0.014 0.014 0.080 0.003 0.009 0.021 0.129 0.158 0.953
DPB60_no 0.000 0.001 0.000 0.001 0.001 0.004 0.890 0.075
DPB60_wrk 0.001 0.000 0.006 0.008 0.000 0.023 0.837
IB18_e
IB18_f
IB18_no
IB30_e 0.000 0.000 0.000
IB30_f
IB30_no 0.001 0.003 0.000 0.003 0.000 0.001 0.000
IB60_no 0.005 0.000
IB60_wrk 0.000 0.001
SB18_e
SB18_f
SB18_no
SB30_e 0.003 0.001 0.000 0.001 0.000
SB30_f
SB30_no 0.004 0.003 0.013 0.001 0.006 0.000 0.001
SB60_no 0.001 0.001
SB60_wrk
u18
UB18_e
UB18_f
UB18_no
UB30_e 0.005 0.004 0.001 0.001 0.000
UB30_f 0.000 0.001
UB30_no 0.006 0.003 0.015 0.002 0.008 0.000 0.001
UB60_no 0.001 0.000
UB60_wrk 0.000
misc 0.002 0.003 0.004 0.002 0.005 0.000 0.000 0.001 0.001

Table 11 - Transition Rates from IB: Post GFC
  IB18_e IB18_f IB18_no IB30_e IB30_f IB30_no IB60_no IB60_wrk
DPB18_0_e
DPB18_0_f
DPB18_0_no 0.000
DPB18_5+_no
DPB18_5+_wrk
DPB18_nc_no 0.000 0.006 0.000
DPB18_nc_wrk
DPB30_0_e
DPB30_0_f
DPB30_0_no
DPB30_14_e
DPB30_14_f 0.003
DPB30_14_no
DPB30_5_e
DPB30_5_f
DPB30_5_no
DPB30_nc_e 0.000
DPB30_nc_f
DPB30_nc_no 0.000 0.000
DPB60_no
DPB60_wrk
IB18_e 0.808 0.370 0.013
IB18_f 0.005 0.173 0.000
IB18_no 0.113 0.161 0.942
IB30_e 0.019 0.012 0.000 0.846 0.409 0.009
IB30_f 0.006 0.004 0.202 0.000
IB30_no 0.002 0.020 0.113 0.165 0.959
IB60_no 0.001 0.013 0.939 0.094
IB60_wrk 0.009 0.006 0.005 0.840
SB18_e 0.002
SB18_f 0.006
SB18_no 0.001 0.002
SB30_e 0.002 0.006
SB30_f 0.004
SB30_no 0.001 0.001 0.002
SB60_no 0.001 0.001
SB60_wrk 0.001
u18
UB18_e
UB18_f
UB18_no 0.001 0.000
UB30_e 0.001
UB30_f
UB30_no 0.000 0.000
UB60_no 0.000
UB60_wrk
misc

Table 12 - Transition Rates from SB: Post GFC
  SB18_e SB18_f SB18_no SB30_e SB30_f SB30_no SB60_no SB60_wrk
DPB18_0_e 0.002 0.000
DPB18_0_f 0.000
DPB18_0_no 0.010 0.003 0.017
DPB18_5+_no 0.000 0.001
DPB18_5+_wrk 0.000
DPB18_nc_no 0.018 0.011 0.036
DPB18_nc_wrk 0.002 0.003 0.000
DPB30_0_e 0.000
DPB30_0_f
DPB30_0_no 0.000 0.000 0.001 0.001
DPB30_14_e 0.001 0.001
DPB30_14_f 0.001
DPB30_14_no 0.000 0.001
DPB30_5_e 0.000 0.000
DPB30_5_f 0.001
DPB30_5_no 0.000 0.001
DPB30_nc_e 0.001 0.001 0.000
DPB30_nc_f
DPB30_nc_no 0.000 0.000 0.002 0.004
DPB60_no 0.001 0.000
DPB60_wrk 0.001
IB18_e 0.003 0.000
IB18_f
IB18_no 0.007 0.003 0.009
IB30_e 0.000 0.009 0.006 0.000
IB30_f 0.000
IB30_no 0.000 0.000 0.009 0.006 0.020
IB60_no 0.000 0.000 0.040 0.016
IB60_wrk 0.000 0.001 0.017
SB18_e 0.520 0.261 0.009
SB18_f 0.014 0.125 0.001
SB18_no 0.171 0.207 0.712
SB30_e 0.014 0.011 0.000 0.698 0.304 0.012
SB30_f 0.000 0.006 0.016 0.193 0.001
SB30_no 0.003 0.011 0.013 0.135 0.244 0.840
SB60_no 0.001 0.001 0.007 0.834 0.105
SB60_wrk 0.009 0.005 0.000 0.013 0.745
u18
UB18_e 0.003 0.006 0.001
UB18_f 0.000 0.000
UB18_no 0.021 0.023 0.035
UB30_e 0.003 0.002 0.001
UB30_f 0.000 0.002 0.000
UB30_no 0.000 0.000 0.010 0.008 0.019
UB60_no 0.009 0.007
UB60_wrk 0.000 0.003
misc 0.002 0.014 0.005 0.002 0.002 0.003 0.001 0.001

Table 13 - Transition Rates from UB: Post GFC
  u18 UB18_e UB18_f UB18_no UB30_e UB30_f UB30_no UB60_no UB60_wrk misc
DPB18_0_e 0.001 0.000
DPB18_0_f 0.001
DPB18_0_no 0.015 0.001 0.003 0.001
DPB18_5+_no 0.000 0.000 0.000
DPB18_5+_wrk
DPB18_nc_no 0.034 0.002 0.001 0.004 0.002
DPB18_nc_wrk 0.001 0.001 0.001
DPB30_0_e 0.000
DPB30_0_f
DPB30_0_no 0.001 0.001 0.001 0.001
DPB30_14_e 0.001 0.000 0.000
DPB30_14_f
DPB30_14_no 0.001 0.000 0.001 0.001
DPB30_5_e 0.000 0.001 0.000 0.000 0.000
DPB30_5_f
DPB30_5_no 0.001 0.001 0.002 0.001
DPB30_nc_e 0.001 0.001 0.000 0.000
DPB30_nc_f 0.000
DPB30_nc_no 0.002 0.001 0.004 0.003
DPB60_no 0.003 0.002 0.001
DPB60_wrk 0.000 0.002 0.000
IB18_e 0.002 0.000
IB18_f
IB18_no 0.044 0.001 0.000
IB30_e 0.000
IB30_f
IB30_no 0.000 0.000 0.002 0.001
IB60_no 0.006 0.001 0.000
IB60_wrk 0.000 0.000
SB18_e 0.000 0.001 0.001 0.000
SB18_f 0.000
SB18_no 0.009 0.003 0.003 0.027 0.009
SB30_e 0.001 0.001 0.001 0.000
SB30_f
SB30_no 0.000 0.000 0.002 0.001 0.027 0.008
SB60_no 0.000 0.024 0.002 0.001
SB60_wrk 0.003 0.000
u18 0.711
UB18_e 0.002 0.370 0.212 0.015 0.002
UB18_f 0.009 0.058 0.002 0.000
UB18_no 0.035 0.111 0.201 0.557 0.054
UB30_e 0.006 0.003 0.000 0.562 0.226 0.018 0.001
UB30_f 0.000 0.001 0.021 0.117 0.003 0.000
UB30_no 0.002 0.007 0.008 0.125 0.242 0.700 0.028
UB60_no 0.001 0.001 0.004 0.775 0.110 0.001
UB60_wrk 0.005 0.003 0.000 0.019 0.682 0.000
Misc 0.016 0.003 0.001 0.037 0.003 0.003 0.017 0.005 0.000 0.754
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