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==Fiscal stability==
==Fiscal stability==
====Overview====
====Overview====
The ultimate  limit upon the size of the national debt is reached when more money is required for its repayment than the government can raise from taxation - at which point,  the only alternative to a default amounting to national [[insolvency]] is by [[Banking/Tutorials#The arithmetic of money creation|creating money]] for the purpose of repayment. Money creation aside, national [[insolvency]] is, in fact, an inevitable long-term outcome if  national debt persistently grows faster than gdp.  That  is known as the [[debt trap]], and its avoidance is the economic policy objective known as "fiscal sustainability". Under stable conditions, fiscal sustainability normally<ref> Assuming that the interest paid on government bonds is greater than the gdp growth rate.</ref>  requires the maintenance of a surplus of tax revenue over public expenditure, when expressed as fraction of the national debt, has to average a percentage of gdp least equal to the difference between the interest rate payable and the gdp growth rate.
The concept of [[fiscal sustainability]] is often used in discussing [[fiscal policy]] but it is absence is not directly observable. [[Fiscal instability]], on the other hand, can be observed from the conduct of the [[CDS]] and [[bond]] markets. It is possible, moreover, that a fiscal stance which might otherwise be considered to be sustainable, may develop fiscal instability because of the development of [[debt intolerance]] toward the government in question that had arisen from [[herding (banking)|herding]] behaviour in the bond market. Thus the avoidance of fiscal instability would appear to be the more pressing - and possibly more demanding - policy objective.
 
Although that identity-based criterion would ensure fiscal sustainability in a stable, risk-free environment, it is generally accepted that a more stringent criterion is needed in order to guard against operating risks.
 
 


===Sustainability and stability===
===Sustainability and stability===
====Sustainability====
====Sustainability====
It is a necessary  condition for sustainability that [[budget deficit]]s do not continue indefinitely, because that would  lead  eventually to the logically impossible outcome of  an interest payment greater than the national income. The [[Fiscal policy/Tutorials#The debt trap identity|debt trap identity]] establishes that, for a government that has a [[budget deficit]],  the fiscal correction needed to avoid that outcome  increases with the level of debt as a fraction of GDP at the time that the action is taken, and with the difference between the interest payable on the debt and the growth rate of GDP at the time (both of which are taken to remain constant). It is thus an entirely abstract requirement that depends upon unmeasurable factors and does not establish at what stage the corrective action must be taken.  The further requirement that is necessary to determine the timing of the correction is a stipulation of the maximum feasible size of the correction (in terms of the changes in [[taxation]] or [[public expenditure]] that would be involved). Since that requirement cannot be  objectively stipulated,  sustainably is not an observable condition.
If the annual interest payable on a government's debt rise faster than the national income, the point will eventually be reached at which they could would exceed the revenue that could be raised by taxation. The [[Fiscal policy/Tutorials#The debt trap identity|debt trap identity]] establishes that the budget surplus (or reduced deficit) needed to avoid an increase in the ratio of debt to  GDP depends upon the level of that ratio and the difference between the interest rate  payable on the debt and the growth rate of nominal GDP.
 
===="Structural" deficits====
In  discussions of  the sustainability of the budget deficit during  a [[recession]], an arbitrary distinction is often drawn between what are termed its "cyclical" and "structural" components. The cyclical component is defined for  that purpose as that part of the  budget deficit that is attributable to a temporary departure of national output from its trend, and which ceases when trend output  growth resumes - and the structural component is defined as the remainder.  The distinction has the merit of isolating that part of the budget deficit that is relevant to the question of sustainability. However, a reliable estimate of the size of a structural deficit is not possible until some time after the recession in question is over. It usually differs from the country's pre-crisis deficit  as a result of loss of tax revenues from companies that fail during the crisis.  Its isolation during a recession depends upon  forecasts of unknowns, including the future trends of output and prices. Determination of the future trend of output  depends, in turn  upon estimates of the success of the investments corresponding to  that part the deficit that complies with the [[Golden Rule (finance)|Golden Rule]].


====Fiscal instability====
====Fiscal instability====
An increase in the [[risk premium]] that the bond market applies to a government's borrowing may increase the cost of its borrowing to an extent that increases the market's perception of its riskiness, as a result of which the bond market may apply a further increase in its risk premium. Repetition of that sequence could eventually force the government to default by placing the cost of a roll-over of maturing debt beyond its capacity to raise the necessary funds. The market's awareness of that possibilty may add to the destabilising effect of its actions. Unlike sustainability, fiscal instability is an observable phenomenon.
An increase in the [[risk premium]] that the bond market applies to a government's borrowing may increase the cost of its borrowing to an extent that increases the market's perception of its riskiness, in response to which the bond market may apply a further increase in its risk premium. (An expectation of a reduction in economic growth could also  trigger such a response).  Repetition of that sequence could eventually force the government to default by placing the cost of a roll-over of maturing debt beyond its capacity to raise the necessary funds. The market's awareness of that possibility may add to the destabilising effect of its actions. Unlike sustainability, fiscal instability is an observable phenomenon.


==The fiscal dilemma==
==The fiscal dilemma==
Fiscal policy often poses a choice between the growth objective and the need to avoid [[fiscal instability]],  but a more pressing dilemma can arise concerning the conduct of fiscal policy during a [[recession]]. The operation of [[automatic stabilisers]] during a recession necessarily increases a country's budget  deficit - sometimes to the extent of raising fears of possible [[sovereign default]]. The dilemma is posed by the choice whether to increase that deficit in order to mitigate the depression, or to reduce it in order to avert the danger of an investor panic. That choice is complicated by the fact that in the absence of effective action to counter the recession, its increasing severity might in any case raise the national debt to an unsustainable level. The consensus choice before 2008 had been to refrain from fiscal expansion and to counter the recession solely by an expansionary [[monetary policy]]. But in face of the threat posed by the international [[crash of 2008]], most of the [[Group of Twenty|G20 governments]] considered it necessary to use discretionary fiscal policy to augment the diminishing effects of monetary expansion. The recession came to to an end in 2009, but in view of the perceived fragility of the recovery, the dilemma remained: whether to implement immediate tax increases or public expenditure cuts, or to postpone such action pending signs of a sufficiently robust recovery.
Fiscal policy usually involves a choice between the objective of achieving economic growth and the need to avoid [[fiscal instability]]. That  choice  arises, in particular,  concerning the conduct of fiscal policy during a [[recession]]. The operation of [[automatic stabilisers]] during a [[recession]] necessarily increases a country's budget  deficit - sometimes to the extent of raising fears of fiscal instability. The choice has to be made between increasing the deficit further in order to mitigate the severity of the  recession, and reducing  it in order to maintain investor confidence. That choice is complicated by the fact that, in the absence of effective action to counter the recession, its increasing severity might in any case raise the budget deficit to an extent that would cause a loss of confidence. The consensus policy choice before 2008 had been to refrain from fiscal expansion and to counter the recession solely by an expansionary [[monetary policy]]. But in face of the threat posed by the international [[crash of 2008]], most of the [[Group of Twenty|G20 governments]] considered it necessary to use discretionary fiscal policy to augment the diminishing effects of monetary expansion. The recession came to an end in 2009, but in view of the perceived fragility of the recovery, the dilemma remained: whether to implement immediate tax increases or public expenditure cuts, or to postpone such action pending signs of a sufficiently robust recovery (without which the economy's [[automatic stabilisers]] could ensure a continuing increase in the [[budget deficit]].  


Previous post-war experience of that dilemma had been confined to the developing countries. Panics among investors and anticipations of default by speculators had been such a frequent  cause of [[sovereign default]] among them that the International Monetary Fund had  made its assistance conditional upon the avoidance of deficits, even during recessions<ref>[http://www.econ.utah.edu/activities/papers/2004_09.pdf Alcino  Câmara and Neto Vernengo: ''Fiscal Policy and the Washington Consensus: A Post Keynesian Perspective'', Working Paper No: 2004-09, University of Utah Department of Economics, 2004]</ref>).
A fiscal dilemma also arises at times of economic stability. A [[structural deficit]] that is devoted entirely to [[self-financing government investment]] is, by definition, sustainable. The use for that purpose of voluntary borrowing rather than compulsory taxation must be presumed to increase growth in view of the [[Taxation#Aggregate effects|growth-reducing effects of taxation]]. The dilemma is whether - and how far - to sacrifice some growth prospects by limiting deficit-financed investment in order to maintain sufficient unused capacity to borrow in order to mitigate the effects of a [[recession]] or other emergencies. Perceptions of the prospects and severity of such emergencies may be expected to influence the judgement that is made, and an upward revision of those perceptions may be expected to follow a severe recession.


<!--
Until the [[Great Recession]] developing countries the . [[Debt intolerance]]<ref>[http://mpra.ub.uni-muenchen.de/13398/1/MPRA_paper_13398.pdf, Carmen Reinhart: ''Debt intolerance: Executive summary'', Munich Personal RePEc Archive, 2004]</ref> among investors  and anticipations of default by speculators had been such a frequent  cause of [[sovereign default]] among them that  the [[International Monetary Fund]] had  made its assistance conditional upon  the avoidance of deficits, even during recessions<ref>[http://www.econ.utah.edu/activities/papers/2004_09.pdf Alcino  Câmara and Neto Vernengo: ''Fiscal Policy and the Washington Consensus: A Post Keynesian Perspective'', Working Paper No: 2004-09, University of Utah Department of Economics, 2004]</ref>).
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==The cyclical and structural components of public debt==
==The cyclical and structural components of public debt==
The debt trap identity demonstrates that the fiscal surplus needed to restore sustainability increases with  any increase in the opening level of debt or the interest rate on that debt, and with any decrease in the growth rate of GDP. Cyclical influences  produce fluctuations in those factor that can sometimes lead to a precipitous loss of sustainability.
The concept of a "[[structural deficit]]" is sometimes introduced to distinguish the discretionary component of a country's deficit from the larger component which arises during a recession from the operation of its [[automatic stabilisers]].  
 
During periods of economic stability, and  when [[liquidity]] is plentiful and domestic interest rates are low, investors tend to seek profit opportunities abroad, as a result of which debtor governments find it easy to borrow at modest rates of interest. However, an international  [[Downturn (economic)|economic downturn]], or a [[credit crunch]], or [[discount rate]] increase in their creditors' countries, can threaten the fiscal sustainability of debtor countries, even of those with relatively modest levels of [[national debt]]. The economic downturn may be transmitted to their economies and raise their [[budget deficit]]s through the operation of their [[automatic stabilisers]]. A credit crunch or discount rate increase may make investors reluctant to [[roll-over]] their short-term debt, and the resulting fall in demand may raise the interest rate necessary for debtor governments to continue borrowing.


To avoid the complications of cyclical influences, the concept of a "[[structural deficit]]" is sometimes  introduced to the consideration of sustainability. In fact that term  can simply  be defined as a deficit that is unsustainable. To avoid that circularity, however, an unsustainable deficit can more usefully be defined as that part of a [[cyclically-adjusted budget deficit]] that is not self-financing (by definition, a self-financing investment does not increase long-run public expenditure). In principal, however,  the concept of  self-financing publicly financed  investment should extend,  beyond investments that produce short-term accounting returns, to include those government-financed investments that  yield  increases in [[human capital]] or [[social capital]] that are self-financing in the longer term. Since there is always some uncertainty about the gains from such investments, the estimation of the size of the structural deficit (or surplus) involve the use of judgement.
That term  can simply  be defined as a deficit that is unsustainable. To avoid that circularity, however, an unsustainable deficit can more usefully be defined as that part of a [[cyclically-adjusted budget deficit]] that is not self-financing (by definition, a self-financing investment does not increase long-run public expenditure). In principal, however,  the concept of  self-financing publicly financed  investment should extend,  beyond investments that produce short-term accounting returns, to include those government-financed investments that  yield  increases in [[human capital]] or [[social capital]] that are self-financing in the longer term. Since there is always some uncertainty about the gains from such investments, the estimation of the size of the structural deficit (or surplus) necessarily involves the use of subjective judgement.
-->


==The debt trap identity==
==The debt trap identity==


According to the debt trap identity (proved in the appendix below), the  increase, Δd, in [[national debt]] in any given year, as a percentage of [[Gross Domestic Product|GDP]] is given by:
According to the debt trap identity (proved below), the  increase, Δd, in [[national debt]] in any given year, as a percentage of [[Gross Domestic Product|GDP]] is given by:


:::::: Δd  =  f + d(r - g)
:::::: Δd  =  f + d(r - g)


where d is the amount of the accumulated debt as a percentage of GDP at the beginning of the year, <br> and f is the [[primary budget balance]] for the year (shown with a negative negative sign if a surplus)  as a percentage of GDP,<br> r is the interest rate payable on the debt, <br> and g is the then current GDP growth rate.
where d is the amount of the accumulated debt as a percentage of GDP at the beginning of the year, <br> and f is the [[primary budget balance|primary budget deficit (or surplus)]] for the year (shown with a negative negative sign if a surplus)  as a percentage of GDP,<br> r is the interest rate payable on the debt, <br> and g is the then current nominal GDP growth rate.


So that if Δd = 0
So that if Δd = 0
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::::::: f = -d(r - g)
::::::: f = -d(r - g)


- which is to say that to avoid an increase in public debt in the course of any year, the budget balance during that year must not be greater than the opening level of debt  multiplied by the difference between the interest rate on the debt and the GDP growth rate in that year (and that means a budget surplus if the interest rate is greater than the growth rate).
- which is to say that to avoid an increase in public debt in the course of any year, the budget deficit during that year must not be greater than the opening level of debt  multiplied by the difference between the interest rate on the debt and the GDP growth rate in that year (and that means a budget surplus if the interest rate is greater than the growth rate).


If, for example, r were 5% and g were 2% then  a debt of 50% of gdp would require a surplus of 1.5% of GDP, a debt of 100% of GDP would require a surplus of 3% of gdp,  and so forth.
If, for example, r were 5% and g were 2% then  a debt of 50% of gdp would require a surplus of 1.5% of GDP, a debt of 100% of GDP would require a surplus of 3% of gdp,  and so forth.
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==Notes and references==
==Notes and references==
<references/>
{{reflist}}

Latest revision as of 02:17, 27 October 2013

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Tutorials relating to the topic of Fiscal policy.

Fiscal stability

Overview

The concept of fiscal sustainability is often used in discussing fiscal policy but it is absence is not directly observable. Fiscal instability, on the other hand, can be observed from the conduct of the CDS and bond markets. It is possible, moreover, that a fiscal stance which might otherwise be considered to be sustainable, may develop fiscal instability because of the development of debt intolerance toward the government in question that had arisen from herding behaviour in the bond market. Thus the avoidance of fiscal instability would appear to be the more pressing - and possibly more demanding - policy objective.

Sustainability and stability

Sustainability

If the annual interest payable on a government's debt rise faster than the national income, the point will eventually be reached at which they could would exceed the revenue that could be raised by taxation. The debt trap identity establishes that the budget surplus (or reduced deficit) needed to avoid an increase in the ratio of debt to GDP depends upon the level of that ratio and the difference between the interest rate payable on the debt and the growth rate of nominal GDP.

"Structural" deficits

In discussions of the sustainability of the budget deficit during a recession, an arbitrary distinction is often drawn between what are termed its "cyclical" and "structural" components. The cyclical component is defined for that purpose as that part of the budget deficit that is attributable to a temporary departure of national output from its trend, and which ceases when trend output growth resumes - and the structural component is defined as the remainder. The distinction has the merit of isolating that part of the budget deficit that is relevant to the question of sustainability. However, a reliable estimate of the size of a structural deficit is not possible until some time after the recession in question is over. It usually differs from the country's pre-crisis deficit as a result of loss of tax revenues from companies that fail during the crisis. Its isolation during a recession depends upon forecasts of unknowns, including the future trends of output and prices. Determination of the future trend of output depends, in turn upon estimates of the success of the investments corresponding to that part the deficit that complies with the Golden Rule.

Fiscal instability

An increase in the risk premium that the bond market applies to a government's borrowing may increase the cost of its borrowing to an extent that increases the market's perception of its riskiness, in response to which the bond market may apply a further increase in its risk premium. (An expectation of a reduction in economic growth could also trigger such a response). Repetition of that sequence could eventually force the government to default by placing the cost of a roll-over of maturing debt beyond its capacity to raise the necessary funds. The market's awareness of that possibility may add to the destabilising effect of its actions. Unlike sustainability, fiscal instability is an observable phenomenon.

The fiscal dilemma

Fiscal policy usually involves a choice between the objective of achieving economic growth and the need to avoid fiscal instability. That choice arises, in particular, concerning the conduct of fiscal policy during a recession. The operation of automatic stabilisers during a recession necessarily increases a country's budget deficit - sometimes to the extent of raising fears of fiscal instability. The choice has to be made between increasing the deficit further in order to mitigate the severity of the recession, and reducing it in order to maintain investor confidence. That choice is complicated by the fact that, in the absence of effective action to counter the recession, its increasing severity might in any case raise the budget deficit to an extent that would cause a loss of confidence. The consensus policy choice before 2008 had been to refrain from fiscal expansion and to counter the recession solely by an expansionary monetary policy. But in face of the threat posed by the international crash of 2008, most of the G20 governments considered it necessary to use discretionary fiscal policy to augment the diminishing effects of monetary expansion. The recession came to an end in 2009, but in view of the perceived fragility of the recovery, the dilemma remained: whether to implement immediate tax increases or public expenditure cuts, or to postpone such action pending signs of a sufficiently robust recovery (without which the economy's automatic stabilisers could ensure a continuing increase in the budget deficit.

A fiscal dilemma also arises at times of economic stability. A structural deficit that is devoted entirely to self-financing government investment is, by definition, sustainable. The use for that purpose of voluntary borrowing rather than compulsory taxation must be presumed to increase growth in view of the growth-reducing effects of taxation. The dilemma is whether - and how far - to sacrifice some growth prospects by limiting deficit-financed investment in order to maintain sufficient unused capacity to borrow in order to mitigate the effects of a recession or other emergencies. Perceptions of the prospects and severity of such emergencies may be expected to influence the judgement that is made, and an upward revision of those perceptions may be expected to follow a severe recession.


The debt trap identity

According to the debt trap identity (proved below), the increase, Δd, in national debt in any given year, as a percentage of GDP is given by:

Δd = f + d(r - g)

where d is the amount of the accumulated debt as a percentage of GDP at the beginning of the year,
and f is the primary budget deficit (or surplus) for the year (shown with a negative negative sign if a surplus) as a percentage of GDP,
r is the interest rate payable on the debt,
and g is the then current nominal GDP growth rate.

So that if Δd = 0

f = -d(r - g)

- which is to say that to avoid an increase in public debt in the course of any year, the budget deficit during that year must not be greater than the opening level of debt multiplied by the difference between the interest rate on the debt and the GDP growth rate in that year (and that means a budget surplus if the interest rate is greater than the growth rate).

If, for example, r were 5% and g were 2% then a debt of 50% of gdp would require a surplus of 1.5% of GDP, a debt of 100% of GDP would require a surplus of 3% of gdp, and so forth.

(Proof:- Let D and Y be the levels of public debt and GDP at the beginning of a year; and,
let F be the primary, or discretionary budget deficit (the total deficit excluding interest payments) and,
let r be the annual rate of interest payable on the public debt;
and assume that  F, r, and g are all mutually independent.

- then the public debt at the end of the year is  D1 = D + F +Dr; the GDP at the end of the year is   Y1 = Y(1 + g);
and the ratio of public debt to GDP has risen from  D/Y to  (D + F + Dr)/{Y(1 + g);

- thus the increase in the ratio of public debt to GDP in the course of a year is:

Δ(D/Y) = (D + F + Dr)/{Y(1 + g)} - D/Y

Let 1/{Y(1;+ g)} = A  andso that AY = 1/(1 + g) ,and  1/AY = 1 + g  
- then:

Δ(D/Y) = A(D + F + Dr) - D/Y
=  A( D + F + Dr  - D/AY)

- and substituting 1 + g for 1/AY:

=  A( D + F + Dr - D - Dg)

substituting for A:

Δ(D/Y) = {F + D(r - g)}/{Y(1 + g)}

or, approximately:-

Δ(D/Y) = {F + D(r - g)}/Y
= F/Y + (r - g)D/Y

Let  f = F/Y ,and d = D/Y

- then                 Δd  =  f + d(r - g)

where f is the primary budget deficit as a percentage of GDP, and d is public debt as a percentage of GDP)

Notes and references