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Macroeconomics For Social Negotiators
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Public Deficit and Debt Gustavo Rinaldi Ph.D.
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Government Surplus or Deficit
Government Surplus or Deficit General Government Net Lending (+) or Net Borrowing (-) Deficitt = i Bt Gt – Tt
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Budget Deficit . i = interest rate
Bt-1 = debt on december 31st of the ______previous year
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General government net lending/borrowing
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General government net lending/borrowing
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1 + i = 1 + r 1 + p Real interest rate p Is the inflation rate
i Is the nominal interest rate
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Inflation Adjusted Budget Deficit
. r = real interest rate Bt-1 = debt inherited from the previous year
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Inflation Adjusted Budget Deficit
Deficit = r Bt Gt – Tt Deficitt = interests primary deficit
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interests on the debt r Bt-1 real interest payments
i Bt nominal expenditure
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i Bt-1 /GDP
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Primary Budget Deficit
Gt – Tt Gt it does not include monetary transfers (pensions, benefits, subsidies to firms, etc.). T includes taxes and transfers (T = net taxes)
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General government primary net lending/borrowing
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General government primary net lending/borrowing
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Sources of government funding
Taxes Sales of public assets Dividends from state owned firms Borrowing Printing money
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Sources of government funding
Taxes Sales of public assets Dividends from state owned firms Borrowing Printing money
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Government sells bonds
To the CB : Monetary Finance To private: Debt Creation We assume that only creates debt.
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Deficits create and increase Debts
Bt - Bt-1 = r Bt Gt – Tt
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Deficit creates and increases Debt
Bt - Bt-1 = r Bt Gt – Tt Bt = r Bt-1 + Bt Gt – Tt Bt = (1+r) Bt Gt – Tt
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In general B1 = (1+r) B0 + G1 – T1 If B1 = B0 B0 = (1+r) B0 + G1 – T1
Stabilization In general B1 = (1+r) B G1 – T1 If B1 = B0 B0 = (1+r) B G1 – T1
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interests = primary surplus
Stabilization in this case B0 = B0+B0r G1 – T1 0 = B0r G1 – T1 B0r = T1 – G1 interests = primary surplus
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Which resources we use to serve the il debt?
GDP mainly
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B t = (1+r) Bt-1 + Gt – Tt_ Yt Yt Yt
Debt / GDP B t = (1+r) Bt Gt – Tt_ Yt Yt Yt
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(gross) Debt / GDP
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B t = (1+r) Bt-1 + Gt – Tt_ Yt Yt Yt
Debt / GDP B t = (1+r) Bt Gt – Tt_ Yt Yt Yt Multiply by Yt-1/ Yt-1 = 1
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B t = Yt-1(1+r) Bt-1 + Gt – Tt_ Yt Yt Yt-1 Yt
Debt / GDP B t = Yt-1(1+r) Bt Gt – Tt_ Yt Yt Yt Yt
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Debt / GDP Yt-1 = Yt gy gy = GDP growt rate
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B t = (1+r) Bt-1 + Gt – Tt_ Yt (1+gy) Yt-1 Yt
Debt / GDP B t = (1+r) Bt Gt – Tt_ Yt (1+gy) Yt Yt
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B t = (1+i) Bt-1 + Gt – Tt_ Yt (1+) (1+gy)Yt-1 Yt
Debt / GDP B t = (1+i) Bt Gt – Tt_ Yt (1+) (1+gy)Yt Yt
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B t = (1+r-gy) Bt-1 + Gt – Tt_ Yt Yt-1 Yt
Debt / GDP B t = (1+r-gy) Bt Gt – Tt_ Yt Yt Yt approximation
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B t - Bt-1 = (r-gy) Bt-1 + Gt – Tt_ Yt Yt-1 Yt-1 Yt
Debt / GDP = B t - Bt = (r-gy) Bt Gt – Tt_ Yt Yt Yt Yt
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Growth adjusted real interests on debt
(r-gy) Bt-1 = Growth adjusted real interests Yt on debt r and g have opposite effects on Bt/Yt
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Debt / GDP If g > r with G=T Debt/GDP decrease
Se g < r with G=T Debt/GDP increases GDP growth is a way to reduce Debt/GDP
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Debt/GDP in Italy
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Debt/GDP in Italy 46-14
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Primary Surplus
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Public Finance Strategies
Balanced Budget. Balanced Budget over the Business Cycle. Surplus in growth years, deficit in recessions. Balance in growth years, deficit in recessions. EU Fiscal Compact Sales of Public Assets (privatizations) Monetary Finance. Financial Repression (capital controls and portfolio constraints) Nominal GDP growth > Debt Growth (national money).
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Fiscal Compact Maximum deficit 0,5% of GDP Every year:
Bt/Yt – Bt-1/Yt-1 = ( Bt-1/Yt-1 – 60 ) / 20
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