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Debt-to-GDP ratio

From Wikipedia, the free encyclopedia
Economic assessment of a country's debt
Government debt-to-GDP ratio as % in 2024 by IMF
  >100%
  >75–100%
  >50–75%
  >25–50%
  0–25%
  no data

Ineconomics, thedebt-to-GDP ratio is theratio of a country's accumulation ofgovernment debt (measured in units of currency) to itsgross domestic product (GDP) (measured in units of currency per year). A low debt-to-GDP ratio indicates that an economy produces goods and services sufficient to pay back debts without incurring further debt.[1] Geopolitical and economic considerations – includinginterest rates,war,recessions, and other variables – influence the borrowing practices of a nation and the choice to incur furtherdebt.[2] Economists and international institutions caution that there is no universally agreed "safe" or "dangerous" debt-to-GDP threshold; the sustainability of public debt depends on factors such as growth prospects, interest rates, and fiscal institutions.[3]

It should not be confused with adeficit-to-GDP ratio, which, for countries running budget deficits, measures a country's annual net fiscal loss in a given year (government budget balance, or the net change in debt per annum) as a percentage share of that country's GDP; for countries running budget surpluses, asurplus-to-GDP ratio measures a country's annual net fiscalgain as a share of that country's GDP.

Particularly inmacroeconomics, various debt-to-GDP ratios can be calculated. The most commonly used ratio is thegovernment debt divided by the gross domestic product (GDP), which reflects the government's finances, while another common ratio is the total debt to GDP, which reflects the finances of the nation as a whole.

The debt-to-GDP ratio is technically not adimensionless quantity, but a unit oftime, being equal to the amount of years over which the accumulated economic product equals the debt.

Statistics

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Main article:List of countries by government debt
Heatmap of the development of debt-to-GDP ratio for some European countries, in percent of GDP from 1995 to 2017
European debt to GDP ratios

According to the IMF World Economic Outlook Database (April 2021),[4] the level of Gross Government debt-to-GDP ratio in Canada was 116.3%, in China 66.8%, in India 89.6%, in Germany 70.3%, in France 115.2% and in the United States 132.8%.

Debt to GDP for theUnited States
  State andlocal debt to GDP
  Federal debt to GDP

At the end of the 1st quarter of 2021, theUnited States public debt-to-GDP ratio was 127.5%.[5]Two-thirds of US public debt is owned by US citizens, banks, corporations, and theFederal Reserve Bank;[6] approximately one-third of US public debt is held by foreign countries – particularly China and Japan. In comparison, less than 5% of Italian and Japanese public debt is held by foreign countries.

Applications

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Debt-to-GDP measures thefinancial leverage of an economy.[citation needed]

One of theEuro convergence criteria was that government debt-to-GDP should be below 60%.[7]

According to these two institutions[which?], external debt sustainability can be obtained by a country "by bringing the net present value (NPV) of external public debt down to about 150 percent of a country's exports or 250 percent of a country's revenues".[8] High external debt is believed to have harmful effects on an economy.[9] The United NationsSustainable Development Goal 17, an integral part of the2030 Agenda has a target to address the external debt of highly indebted poor countries to reduce debt distress.[10]

In 2013Herndon, Ash, andPollin reviewed an influential, widely cited research paper entitled, "Growth in a Time of Debt",[11] by two Harvard economistsCarmen Reinhart andKenneth Rogoff. Herndon, Ash and Pollin argued that "coding errors, selective exclusion of available data, and unconventional weighting of summary statistics lead to serious errors that inaccurately represent the relationship between public debt and GDP growth among 20 advanced economies in the post-war period".[12][13] Correcting these basic computational errors undermined the central claim of the book that too much debt causes recession.[14][15] Rogoff and Reinhardt claimed that their fundamental conclusions were accurate, despite the errors.[16][17]

There is a difference between external debt denominated in domestic currency, and external debt denominated in foreign currency. A nation can service external debt denominated in domestic currency by tax revenues, but to service foreign currency debt it has to convert tax revenues in theforeign exchange market to foreign currency, which puts downward pressure on the value of its currency.

Changes

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Further information:Government budget balance

The change of debt-to-GDP ratio can be represented as:

BtYtBt1Yt1=(rg)(Bt1Yt1)+(GtTtYt){\displaystyle {\frac {B_{t}}{Y_{t}}}-{\frac {B_{t-1}}{Y_{t-1}}}=(r-g)\left({\frac {B_{t-1}}{Y_{t-1}}}\right)+\left({\frac {G_{t}-T_{t}}{Y_{t}}}\right)}, whereBtYt{\textstyle {\frac {B_{t}}{Y_{t}}}} is the debt-to-GDP at the end of the periodt, andBt1Yt1{\textstyle {\frac {B_{t-1}}{Y_{t-1}}}} is the debt-to-GDP ratio at the end of the previous period (t−1). The left side of the equation shows thechange in the debt-to-GDP ratio. The right hand side of the equation separates the effect ofreal interest rater{\textstyle r} andeconomic growthg{\textstyle g} on previous debt-to-GDP, and the new debt or government budget balance-to-GDP ratioGtTtYt{\textstyle {\frac {G_{t}-T_{t}}{Y_{t}}}}.[citation needed]

If the government has the ability ofmoney creation, and thereforemonetizing debt the change in debt-to-GDP ratio becomes:

(BtYtBt1Yt1)=(rg)(Bt1Yt1)+(GtTtYt)(MtYtMt1Yt1){\displaystyle \left({\frac {B_{t}}{Y_{t}}}-{\frac {B_{t-1}}{Y_{t-1}}}\right)=(r-g)\left({\frac {B_{t-1}}{Y_{t-1}}}\right)+\left({\frac {G_{t}-T_{t}}{Y_{t}}}\right)-\left({\frac {M_{t}}{Y_{t}}}-{\frac {M_{t-1}}{Y_{t-1}}}\right)}[citation needed]

The termMtYtMt1Yt1{\textstyle {\frac {M_{t}}{Y_{t}}}-{\frac {M_{t-1}}{Y_{t-1}}}} is the change inmoney supply-to-GDP ratio. The effect that an increase in nominal money balances has onseigniorage is ambiguous, as while it increases the amount of money within the economy, the real value of each unit of money decreases due to inflationary effects. This inflationary effect from money printing is called aninflation tax.[18]

See also

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References

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Wikimedia Commons has media related toDebt-to-GDP ratio.
  1. ^Kenton, Will."What the Debt-to-GDP Ratio Tells Us".Investopedia.Archived from the original on 2020-09-22. Retrieved2020-09-22.
  2. ^"Budget Deficits and Interest Rates: What is the Link?". Federal Bank of St. Louis. Archived fromthe original on 2014-02-01. Retrieved2013-10-09.
  3. ^Jonathan D. Ostry, Atish R. Ghosh and Raphael A. Espinoza, "When Should Public Debt Be Reduced?", IMF Staff Discussion Note 15/10 (2015), pp. 4–6,doi:10.5089/9781498379205.006.
  4. ^International Monetary Fund:World Economic Outlook DatabaseGeneral government gross debt(Percent of GDP)Archived 2021-04-07 at theWayback Machine
  5. ^Federal Debt: Total Public Debt as Percent of Gross Domestic ProductArchived 2017-02-20 at theWayback Machine Federal Bank of St. Louis.
  6. ^"America's Foreign Creditors".The New York Times. 19 July 2011.
  7. ^"Convergence criteria".European Central Bank. 2020-07-10. Retrieved2022-11-26.
  8. ^"The Challenge of Maintaining Long-Term External Debt Sustainability"(PDF).World Bank andInternational Monetary Fund.Archived(PDF) from the original on 2008-04-08.
  9. ^Bivens, L. Josh (December 14, 2004)."Debt and the dollar"(PDF).EPI Issue Brief (203). Economic Policy Institute. p. 2, "US external debt obligations". Archived fromthe original(PDF) on December 17, 2004. RetrievedJuly 8, 2007.
  10. ^"Goal 17 | Department of Economic and Social Affairs".sdgs.un.org.Archived from the original on 2020-09-22. Retrieved2020-09-26.
  11. ^Krudy, Edward (18 April 2013)."How a student took on eminent economists on debt issue - and won".Reuters.Archived from the original on 26 January 2021. Retrieved5 July 2021.
  12. ^Herndon, Thomas; Ash, Michael; Pollin, Robert (15 April 2013)."Does High Public Debt Consistently Stifle Economic Growth? A Critique of Reinhart and Rogoff"(PDF).PERI Working Paper Series (322).Political Economy Research Institute,University of Massachusetts Amherst. Archived fromthe original(PDF) on 18 April 2013. Retrieved18 April 2013.
  13. ^Goldstein, Steve (April 16, 2013)."The spreadsheet error in Reinhart and Rogoff's famous paper on debt sustainability".MarketWatch. Archived fromthe original on November 29, 2014. RetrievedApril 18, 2013.
  14. ^Alexander, Ruth (19 April 2013)."Reinhart, Rogoff... and Herndon: The student who caught out the profs".BBC News.Archived from the original on 20 April 2013. Retrieved20 April 2013.
  15. ^"How Much Unemployment Was Caused by Reinhart and Rogoff's Arithmetic Mistake?".Center for Economic and Policy Research. April 16, 2013.Archived from the original on April 19, 2013. RetrievedApril 18, 2013.
  16. ^Harding, Robin (16 April 2013)."Reinhart-Rogoff Initial Response".Financial Times.Archived from the original on 21 April 2013. Retrieved25 April 2013.
  17. ^Inman, Phillip (April 17, 2013)."Rogoff and Reinhart defend their numbers".The Guardian.Archived from the original on October 18, 2013. RetrievedApril 18, 2013.
  18. ^Snowdon, Brian; Vane, Howard R. (11 April 2018).An Encyclopedia of Macroeconomics. Edward Elgar. p. 274.ISBN 9781840643879. Retrieved11 April 2018 – via Google Books.
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