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Fiscal Multipliers and the Home
Bias of Public Debt
Comments by Martin Weale
August 2016
• Does the impact of a budget deficit depend on
whether it is financed at home or abroad?
• Home bias to holding is strongest in Japan.
• More than half of public French and German
debt is held abroad.
• Home bias is perhaps less pronounced in the
euro area than in other countries.
• Currency bias and home bias.
• Growth depends on lagged growth and
change in the cyclically adjusted primary
balance or narrative fiscal shock.
Model
• An endowment is received period 0 which can
be invested in capital (what else can be done
with it?).
• The capital can be pledged (to foreigners?)
• In period 0 the endowment plus the capital
pledged to foreigners can be used to buy fixed
capital or public debt with a fixed home bias.
• In period 1 c=rk+w+lb-x-t
• In period 0 k+lb=w+x
• In period 1 c=rk+w+lb-x-t
• Consumption is factor income plus domestic
holdings of government debt less capital pledged
abroad and taxes
• Or c=rk+w-t+w-k
• Consumption is factor income less taxes plus
endowment less capital stock.
• Is the capital saved up for a period 2 which is not
described?
• The government invests in period 0 by issuing
debt.
• In period 1 it collects the taxes to pay the debt.
• Government debt is assumed to be at zero real
interest rate. Would a negative rate be more
realistic? The marginal product of capital is
positive and it is simplest to assume that this
equals the interest rate on government debt.
• In a closed economy an increase in g means less k
so the impact on output is the output delivered
by extra g less the marginal product of capital.
• In an open economy which is not fully borrowed
an increase in g is financed from abroad with no
reduction in k and so no loss of output
• If the capital stock is fully pledged, then there is
some loss, increasing in the home bias of
financing and in the share of capital which can be
pledged to foreigners
• Below the point where constraints start to bite
borrowing from abroad seems costless.
• But this may represent what happened in the
euro area before the crisis- Greece
• The same would of course be true of private
borrowing- e.g. the Irish Republic
• If only
• The model does not in fact assume that debt is never
repaid so why does this result arise.
• As though the focus is on output rather than income.
• With a fixed labour supply foreign finance raises output
but the marginal product owned by foreigners accrues
to foreigners.
• The impact on income is g-f’(k) just like the effect of
domestic finance in this model
• The model tries to arbitrage the difference between
GDP and GNP. With fixed labour GNP is more relevant
and the theoretical result then disappears.
• What would happen with country fixed effects
as well as with year dummies?
• When does borrowing from abroad make you
rich?
• Some explanation is needed of why not all of the
marginal product of capital accrues to the
investors.
• In the Mundell-Fleming model a budget deficit
would lead to higher demand and a higher real
exchange rate raising supply. So GDP/GNP would
increase.
• In the euro area cost imbalances built up despite
the single market.

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Martin Weale's discussion of "Fiscal Multipliers and the Home Bias of Public Debt"

  • 1. Fiscal Multipliers and the Home Bias of Public Debt Comments by Martin Weale August 2016
  • 2. • Does the impact of a budget deficit depend on whether it is financed at home or abroad? • Home bias to holding is strongest in Japan. • More than half of public French and German debt is held abroad. • Home bias is perhaps less pronounced in the euro area than in other countries. • Currency bias and home bias.
  • 3. • Growth depends on lagged growth and change in the cyclically adjusted primary balance or narrative fiscal shock.
  • 4. Model • An endowment is received period 0 which can be invested in capital (what else can be done with it?). • The capital can be pledged (to foreigners?) • In period 0 the endowment plus the capital pledged to foreigners can be used to buy fixed capital or public debt with a fixed home bias. • In period 1 c=rk+w+lb-x-t
  • 5. • In period 0 k+lb=w+x • In period 1 c=rk+w+lb-x-t • Consumption is factor income plus domestic holdings of government debt less capital pledged abroad and taxes • Or c=rk+w-t+w-k • Consumption is factor income less taxes plus endowment less capital stock. • Is the capital saved up for a period 2 which is not described?
  • 6. • The government invests in period 0 by issuing debt. • In period 1 it collects the taxes to pay the debt. • Government debt is assumed to be at zero real interest rate. Would a negative rate be more realistic? The marginal product of capital is positive and it is simplest to assume that this equals the interest rate on government debt.
  • 7. • In a closed economy an increase in g means less k so the impact on output is the output delivered by extra g less the marginal product of capital. • In an open economy which is not fully borrowed an increase in g is financed from abroad with no reduction in k and so no loss of output • If the capital stock is fully pledged, then there is some loss, increasing in the home bias of financing and in the share of capital which can be pledged to foreigners
  • 8. • Below the point where constraints start to bite borrowing from abroad seems costless. • But this may represent what happened in the euro area before the crisis- Greece • The same would of course be true of private borrowing- e.g. the Irish Republic • If only
  • 9. • The model does not in fact assume that debt is never repaid so why does this result arise. • As though the focus is on output rather than income. • With a fixed labour supply foreign finance raises output but the marginal product owned by foreigners accrues to foreigners. • The impact on income is g-f’(k) just like the effect of domestic finance in this model • The model tries to arbitrage the difference between GDP and GNP. With fixed labour GNP is more relevant and the theoretical result then disappears.
  • 10. • What would happen with country fixed effects as well as with year dummies?
  • 11. • When does borrowing from abroad make you rich? • Some explanation is needed of why not all of the marginal product of capital accrues to the investors. • In the Mundell-Fleming model a budget deficit would lead to higher demand and a higher real exchange rate raising supply. So GDP/GNP would increase. • In the euro area cost imbalances built up despite the single market.