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Working Paper 99-1
Figures, Equations, and Tables

Rigorous Speculation:
The Collapse and Revival of the North Korean Economy


Return to Working Paper 99-1

 

Price Equations

 

1. Import prices

2. Export prices

3. Composite good prices net of cons. taxes

4. Average producer prices

5. Value added prices net of indirect taxes

6. Consumption prices of composite good

7. Numeraire consumer price index Quantity Equations

8. Cobb-Douglas Production function

9. equationDemand function for primary factors (First order condition for profit maximization)

10. Total intermediate uses

11. Exports transformation frontier

12. Export supply

13. Imports substitution frontier

14. Import demand Income and Expenditure Equations

15. Factor income

16. Expenditure aggregates as a function of factor income

17. Private consumption by sector

18. Government consumption by sector

19. Investment demand by sector of origin Market Clearing Conditions

20. Goods markets equilibrium

21. Factor markets equilibrium

22. External balance

 

NOTATION

Endogenous variables

PMi = domestic price of imports

PEi = domestic price of exports

PCi = composite good price to consumers

PQi = composite good price net of consumption taxes

PDi = price of domestically produced good for domestic market

PXi = average producer price

PVi = value added (net of indirect taxes) price

EXR = foreign exchange rate

Xi = gross domestic output

FDSCif = factor demand by sector

WFf = nominal average factor wages

Mi = imports

Ei = exports

Qi = demand for composite good

Di = domestic demand for domestically produced good

YFCTRf = factor income

CONSUM = total private consumption

INVEST = total investment demand

GDTOT = total government current expenditure excluding military spending

INTi = intermediate demand

CDi = private consumption by sector

GDnarmy = government consumption by nonmilitary sector

IDi = investment demand by sector of origin

Exogenous variables

PINDEX = numeraire consumer price index

REMIT = foreign remittances to households

FBOR = net foreign borrowing

FSAV = current account balance (or foreign savings)

FSf = aggregate factor supply

Parameters

pwmi = world prices of imports

pwei = world prices of exports

pwcsi = weights in composite price index

ai,f = production function share parameters

aji = input-output coefficients

ratexi = export rationing ratios by sector

ratmi = import rationing ratios by sector

wfdisti,f = factor price proportionality constant

tmi = import tariff rates

tei = export tax rates

txi = indirect tax rates

tci = consumption tax rates

clesi = household expenditure shares

glesnarmy = government expenditure shares

Functions

CobbD = Cobb-Douglas production function

CET = Constant elasticity of transformation function

CET* = Relation derived from revenue maximization in a CET

CES = Constant elasticity of substitution function

CES* = Relation derived from cost minimization in a CES

F = Mapping from factor income to expenditure aggregates

gi = Derivation of investment demand by sector of origin

Indexes

I, j = production sectors (rice; maize; other agricultural goods, forestry, and fisheries; mining; light manufacturing; intermediate products; capital goods; construction; public administration; military; services)

narmy = production sectors excluding military sector

f = factors (three types of land; rural labor, urban high-skill labor, urban low- skilled labor, capital)

 

Table 1: Composition of Output, 1992-96 (millions of US dollars at US$1 = won 2.15)


  1992 1993 1994 1995 1996





TOTAL 20,875 20,935 15,421 12,802 10,588
Agriculture 7,807 8,227 6,431 5,223 4,775
Industry 4,551 4,689 3,223 2,228 1,556
Construction 1,315 1,256 910 819 508
Other 7,160 6,762 4,858 4,532 6,748

Source: North Korean submission to the IMF.

Table 2 Government budget balance, 1994-96 (billions of won)


  1994 1995 1996



Revenues 41.6 24.3 20.3
Expenditures 41.4 24.2 20.6
 Economic Development na na 12.4
 Social and Cultural na na 5.0
 Defense na na 3.0
 General Administration na na 0.2
Balance 0.2 0.1 -0.3
Memorandum item:      
GDP 33.2 27.4 22.7

Source: North Korean submission to the IMF.

 

Table 3: General Government Revenues, 1996 (millions of won)


Direct Taxes  
 Profits from state enterprises 6,290
 User fees for working capital 2,250
 Profits from cooperative farms 180
Indirect Taxes  
 Turnover taxes 8,080
Social Insurance Revenues 90
Other Revenues 3,430
TOTAL REVENUES 20,320

Source: North Korean submission to the IMF.

 

Table 4: Actual and "Natural" North Korean Trade Shares


  Actual trade share "Natural" trade share


China 23 South Korea 35
Japan 21 Japan 30
South Korea 10 China 13
Russia 4 United States 7
Rest of world 42 Rest of world 15
Memorandum:      
Share of total trade in GDP 12   71

Note: Intra-Korean trade counted as international trade; GDP in current dollars from Bank of Korea.