Government Equations

Government

open_cge.government

open_cge.government.eqSg(mu, Td, Tz, Tm, XXg, Trf, pq)[source]

Total government savings.

\[Sg = Td + \sum_{i}Tz_{i} + \sum_{i}Tm_{i} - (Trf + \sum_{i}Xg_{i})\]
Parameters

  • mu (1D numpy array) – Government expenditure share parameters for each good i

  • Td (float) – Total direct tax revenue

  • Tz (1D numpy array) – Production tax revenue for each good i

  • Tm (1D numpy array) – Tariff revenue for each good i

  • XXg (float) – Total government spending on goods/services

  • Trf (float) – Total transfers to households

  • pq (1D numpy array) – price of the Armington good (domestic + imports) for each good i

Returns

Total government savings

Return type

Sg (float)

open_cge.government.eqTd(taud, pf, Ff)[source]

Direct tax revenue.

\[Td = au d \sum_{h}pf_{h}FF_{h}\]
Parameters

  • taud (float) – Direct tax rate

  • pf (1D numpy array) – The price of factor h

  • Ff (1D numpy array) – Endowment of factor h

Returns

Total direct tax revenue.

Return type

Td (float)

open_cge.government.eqTm(taum, pm, M)[source]

Tariff revenue from each good i.

\[Tm_{i} = au^{m}_{i} pm_{i}M_{i}\]
Parameters

  • taum (1D numpy array) – Tariff rate on good i

  • pm (1D numpy array) – price of import good i

  • M (1D numpy array) – Imports of good i

Returns

Tariff revenue for each good i

Return type

Tm (1D numpy array)

open_cge.government.eqTrf(tautr, pf, Ff)[source]

Total transfers to households.

\[Trf = au^{tr} \sum_{h}pf_{h}FF_{h}\]
Parameters

  • tautr (float) – Tranfer rate (??)

  • pf (1D numpy array) – The price of factor h

  • Ff (1D numpy array) – Endowment of factor h

Returns

Total transfers to households

Return type

Trf (float)

open_cge.government.eqTz(tauz, pz, Z)[source]

Production tax revenue from each good.

\[Tz_{i} = au^{z}_{i} pz_{i}Z_{i}\]
Parameters

  • tauz (1D numpy array) – Ad valorem tax rate on good i

  • pz (1D numpy array) – Price of output good i

  • Z (1D numpy array) – Total output of good i

Returns

Production tax revenue for each good i

Return type

Tz (1D numpy array)

open_cge.government.eqXg(mu, XXg)[source]

Government expenditures on good i

\[X^{g}_{i} = \mu_{i}XX_{g}\]
Parameters

  • mu (1D numpy array) – Government expenditure share parameters for each good i

  • XXg (float) – Total government spending on goods/services

Returns

Government expenditures on good i

Return type

Xg (1D numpy array)