The Treasury

Global Navigation

Personal tools

Treasury
Publication

Population Ageing and Government Health Expenditures in New Zealand, 1951-2051 - WP 04/14

Appendix 2 – Further details on the model

Notation used in the model

Note – the absence of a time index implies that a variable is constant over time.

Symbol Definition
The growth rate of output per employee
Rate of decline for age-sex-specific mortality rates
Cost per person-year lived for people in age group i and sex j
Cost per person-year lived for decedents in age group i and sex j
Cost per person-year lived for survivors in age group i and sex j
Cost per person-year lived for disabled people in age group i and sex j
Cost per person-year lived for non-disabled people in age group i and sex j
Cost per person-year lived for disabled decedents in age group i and sex j
Cost per person-year lived for non-disabled decedents in age group i and sex j
Cost per person-year lived for disabled survivors in age group i and sex j
Cost per person-year lived for non-disabled survivors in age group i and sex j
The health costs per person-year lived of people in group k
Total expenditures
The growth rate for the cost per person-year lived
The mortality rate for people in age group  and sex  (used when it is clear from the context whether the actual or model rates are meant)
The actual historical mortality rate for people in age group  and sex
The mortality rate for people in age group  and sex  predicted by the model
Net transfers
Person-years lived by people in age group i and sex j
Person-years lived by decedents in age group i and sex j
Person-years lived by decedents in age group i and sex j
Person-years lived by non-disabled people in age group i and sex j
Person-years lived by disabled people in age group i and sex j
Person-years lived by disabled decedents in age group i and sex j
Person-years lived by non-disabled decedents in age group i and sex j
Person-years lived by disabled survivors in age group i and sex j
Person-years lived by non-disabled survivors in age group i and sex j
Person-years lived by people in group k
The launch year for the projections
Prevalence of disability in age group i and sex j
GDP per employee
Actual Vote Health expenditure
Expenditure on the basket of services funded under Vote Health in 1992/93
Expenditure on the basket of services funded under Vote Health in 2001/02
The proportion of people sex  and age group  who are employed
GDP
The proportion of deaths in age group i and sex j that the 2001 cause-of-death statistics attribute to “injury”. 
Page top