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Impossible trinity

The impossible trinity (also known as the impossible trilemma, the monetary trilemma or the Unholy Trinity) is a concept in international economics and international political economy which states that it is impossible to have all three of the following at the same time:

The Impossible Trinity or "The Trilemma", in which two policy positions are possible. If a nation were to adopt position a, for example, then it would maintain a fixed exchange rate and allow free capital flows, the consequence of which would be loss of monetary sovereignty.

It is both a hypothesis based on the uncovered interest rate parity condition, and a finding from empirical studies where governments that have tried to simultaneously pursue all three goals have failed. The concept was developed independently by both John Marcus Fleming in 1962 and Robert Alexander Mundell in different articles between 1960 and 1963.[1]

Historically in advanced economies, the periods pre-1914 and 1970–2014 were characterized by stable foreign exchange rates and free capital movement, whereas monetary autonomy was limited. The periods 1914–1924 and 1950–1969 had restrictions on capital movement (e.g. capital controls), but exchange rate stability and monetary autonomy were present.[2][3]

Policy choices edit

According to the impossible trinity, a central bank can only pursue two of the above-mentioned three policies simultaneously. To see why, consider this example (which abstracts from risk but this is not essential to the basic point):

Assume that world interest rate is at 5%. If the home central bank tries to set domestic interest rate at a rate lower than 5%, for example at 2%, there will be a depreciation pressure on the home currency, because investors would want to sell their low yielding domestic currency and buy higher yielding foreign currency. If the central bank also wants to have free capital flows, the only way the central bank could prevent depreciation of the home currency is to sell its foreign currency reserves. Since foreign currency reserves of a central bank are limited, once the reserves are depleted, the domestic currency will depreciate.

Hence, all three of the policy objectives mentioned above cannot be pursued simultaneously. A central bank has to forgo one of the three objectives. Therefore, a central bank has three policy combination options.

Options edit

In terms of the diagram above (Oxelheim, 1990), the options are:

  • Option (a): A stable exchange rate and free capital flows (but not an independent monetary policy because setting a domestic interest rate that is different from the world interest rate would undermine a stable exchange rate due to appreciation or depreciation pressure on the domestic currency).
  • Option (b): An independent monetary policy and free capital flows (but not a stable exchange rate).
  • Option (c): A stable exchange rate and independent monetary policy (but no free capital flows, which would require the use of capital controls).

Currently, Eurozone members have chosen the first option (a) after the introduction of the euro. By contrast, Harvard economist Dani Rodrik advocates the use of the third option (c) in his book The Globalization Paradox, emphasising that world GDP grew fastest during the Bretton Woods era when capital controls were accepted in mainstream economics. Rodrik also argues that the expansion of financial globalization and the free movement of capital flows are the reason why economic crises have become more frequent in both developing and advanced economies alike. Rodrik has also developed the political trilemma of the world economy where "democracy, national sovereignty and global economic integration are mutually incompatible: we can combine any two of the three, but never have all three simultaneously and in full."[4]

Theoretical derivation edit

The formal model underlying the hypothesis is the uncovered Interest Rate Parity condition which states that in absence of a risk premium, arbitrage will ensure that the depreciation or appreciation of a country's currency vis-à-vis another will be equal to the nominal interest rate differential between them. Since under a peg, i.e. a fixed exchange rate, short of devaluation or abandonment of the fixed rate, the model implies that the two countries' nominal interest rates will be equalized. An example of which was the consequential devaluation of the peso,[which?] that was pegged to the US dollar at 0.08, eventually depreciating by 46%.[citation needed] This in turn implies that the country implementing the peg has no ability to set its nominal interest rate independently, and hence no independent monetary policy. The only way then that the country could have both a fixed exchange rate and an independent monetary policy is if it can prevent arbitrage in the foreign exchange rate market from taking place – by instituting capital controls on international transactions.

Trilemma in practice edit

The idea of the impossible trinity went from theoretical curiosity to becoming the foundation of open economy macroeconomics in the 1980s, by which time capital controls had broken down in many countries, and conflicts were visible between pegged exchange rates and monetary policy autonomy. While one version of the impossible trinity is focused on the extreme case – with a perfectly fixed exchange rate and a perfectly open capital account, a country has absolutely no autonomous monetary policy – the real world has thrown up repeated examples where the capital controls are loosened, resulting in greater exchange rate rigidity and less monetary-policy autonomy.

In 1997, Maurice Obstfeld and Alan M. Taylor brought the term "trilemma" into widespread use within economics.[5] In work with Jay Shambaugh, they developed the first methods to empirically validate this central, yet hitherto untested, hypothesis in international macroeconomics.[6]

Economists Michael C. Burda and Charles Wyplosz provide an illustration of what can happen if a nation tries to pursue all three goals at once. To start with they posit a nation with a fixed exchange rate at equilibrium with respect to capital flows as its monetary policy is aligned with the international market. However, the nation then adopts an expansionary monetary policy in order to try to stimulate its domestic economy.

This involves an increase of the monetary supply, and a fall of the domestically available interest rate. Because the internationally available interest rate adjusted for foreign exchange differences has not changed, market participants are able to make a profit by borrowing in the country's currency and then lending abroad – a form of carry trade.

With no capital control, market players will do this en masse. The trade will involve selling the borrowed currency on the foreign exchange market in order to acquire foreign currency to invest abroad – and this tends to cause the price of the nation's currency to drop due to the sudden extra supply. Because the nation has a fixed exchange rate, it must defend its currency and will sell its reserves in order to buy its currency back. However, unless the monetary policy is changed back, the international markets will invariably continue until the government's foreign exchange reserves are exhausted,[note 1] thereby causing the currency to devalue, thus breaking one of the three goals and also enriching market players at the expense of the government that tried to break the impossible trinity.[7]

A 2022 study of the Classical Gold Standard period found that the behavior of advanced economies to international shocks was consistent with the impossible trilemma.[8]

Possibility of a dilemma edit

In the modern world, given the growth of trade in goods and services and the fast pace of financial innovation, it is possible that capital controls can often be evaded. In addition, capital controls introduce numerous distortions. Hence, there are few important countries with an effective system of capital controls, though by early 2010, there has been a movement among economists, policy makers and the International Monetary Fund back in favour of limited use.[9][10][11] Lacking effective control on the free movement of capital, the impossible trinity asserts that a country has to choose between reducing currency volatility and running a stabilising monetary policy: it cannot do both. As stated by Paul Krugman in 1999:[12]

The point is that you can't have it all: A country must pick two out of three. It can fix its exchange rate without emasculating its central bank, but only by maintaining controls on capital flows (like China today); it can leave capital movement free but retain monetary autonomy, but only by letting the exchange rate fluctuate (like Britain – or Canada); or it can choose to leave capital free and stabilize the currency, but only by abandoning any ability to adjust interest rates to fight inflation or recession (like Argentina today,[note 2] or for that matter most of Europe).

Historical events edit

The combination of the three policies – fixed exchange rate, free capital flow, and independent monetary policy – is known to cause financial crisis. The Mexican peso crisis (1994–1995), the 1997 Asian financial crisis (1997–1998), and the Argentinean financial collapse (2001–2002)[13] are often cited as examples.

In particular, the East Asian crisis (1997–1998) is widely known as a large-scale financial crisis caused by the combination of the three policies which violate the impossible trinity.[14] The East Asian countries were taking a de facto dollar peg (fixed exchange rate),[15] promoting the free movement of capital (free capital flow)[14] and making independent monetary policy at the same time. First, because of the de facto dollar peg, foreign investors could invest in Asian countries without the risk of exchange rate fluctuation. Second, the free flow of capital kept foreign investment uninhibited. Third, the short-term interest rates of Asian countries were higher than the short-term interest rate of the United States from 1990 to 1999. For these reasons, many foreign investors invested enormous amounts of money in Asian countries and reaped huge profits. While the Asian countries' trade balance was favorable, the investment was pro-cyclical for the countries. But when the Asian countries' trade balance shifted, investors quickly retrieved their money, triggering the Asian crisis. Eventually countries such as Thailand ran out of dollar reserves and were forced to let their currencies float and devalue. Since many short-term debt obligations were denoted in US dollars, debts grew substantially and many businesses had to shut down and declare bankruptcy. The disorderly collapse of fixed exchange rate regimes in Asia was anticipated in Obstfeld and Rogoff, who showed that empirically almost no fixed exchange rate regime had survived five years once the capital account was opened.[16]

See also edit

Notes edit

  1. ^ In real-life examples, as the market players reach the point where they suspect the government is running out of the reserves to defend its currency, they will pile in with direct speculative attacks where they borrow and sell the nation's currency without bothering with carry trades, leading to a quick profit once the inevitable devaluation occurs.
  2. ^ Note that this was written in 1999, when Argentina had a Fixed exchange rate. Argentina abandoned this in January 2002. See Argentine economic crisis (1999–2002)

References edit

  1. ^ Boughton, James M. (2003). "On the Origins of the Fleming-Mundell Model" (PDF). IMF Staff Papers. 50 (1): 1–3. doi:10.5089/9781451852998.001. Retrieved 17 April 2019.
  2. ^ Eichengreen, Barry; Esteves, Rui Pedro (2021), Fukao, Kyoji; Broadberry, Stephen (eds.), "International Finance", The Cambridge Economic History of the Modern World: Volume 2: 1870 to the Present, Cambridge University Press, vol. 2, pp. 501–525, ISBN 978-1-107-15948-8
  3. ^ Broz, J. Lawrence; Frieden, Jeffry A. (2001). "The Political Economy of International Monetary Relations"". Annual Review of Political Science. 4 (1): 317–343. doi:10.1146/annurev.polisci.4.1.317. ISSN 1094-2939.
  4. ^ Rodrik, Dani (2007-06-27), "The inescapable trilemma of the world economy", rodrik.typepad.com, Typepad (Endurance International Group)[self-published source]
  5. ^ Obstfeld, Maurice; Taylor, Alan M. (1998). "The Great Depression as a Watershed: International Capital Mobility in the Long Run". In Bordo, Michael D.; Goldin, Claudia; White, Eugene N. (eds.). The Defining Moment: The Great Depression and the American Economy in the Twentieth Century. Chicago: University of Chicago Press. pp. 353–402. doi:10.3386/w5960. ISBN 978-0-226-06589-2. S2CID 152881930.
  6. ^ Obstfeld, Maurice; Shambaugh, Jay C.; Taylor, Alan M. (2005). "The Trilemma in History: Tradeoffs Among Exchange Rates, Monetary Policies, and Capital Mobility" (PDF). Review of Economics and Statistics. 87 (3): 423–438. doi:10.1162/0034653054638300. S2CID 6786669.
  7. ^ Burda, Michael C.; Wyplosz, Charles (2005). Macroeconomics: A European Text, 4th edition. Oxford University Press. pp. 246–248, 515, 516. ISBN 978-0-19-926496-4.
  8. ^ Bazot, Guillaume; Monnet, Eric; Morys, Matthias (2022). "Taming the Global Financial Cycle: Central Banks as Shock Absorbers in the First Era of Globalization". The Journal of Economic History. 82 (3): 801–839. doi:10.1017/S0022050722000274. ISSN 0022-0507. S2CID 251268787.
  9. ^ Dani Rodrik (2010-03-11). "The End of an Era in Finance". Project Syndicate. Retrieved 2010-05-24.
  10. ^ Kevin Gallagher (2010-03-01). "Capital controls back in IMF toolkit". The Guardian. Retrieved 2010-05-24.
  11. ^ Subramanian, Arvind (2009-11-18). "Time For Coordinated Capital Account Controls?". The Baseline Scenario. Retrieved 2009-12-15.
  12. ^ Paul Krugman (1999-10-10). "O Canada – a neglected nation gets its Nobel". Slate. Retrieved 2010-06-01.
  13. ^ Aizenman, Joshua (2010), The Impossible Trinity (aka The Policy Trilemma), University of California, Santa Cruz: Department of Economics, p. 11
  14. ^ a b Patnaik, Ila; Shah, Ajay (2010), (PDF), Working Paper 2010-64, New Delhi: National Institute of Public Finance and Policy, archived from the original (PDF) on 2017-09-22, retrieved 2014-08-06
  15. ^ Garnaut, R. (1999). Southeast Asia's Economic Crisis: Origins, Lessons, and the Way Forward. Heinz Wolfgang Arndt and Hal Hill, Institute of Southeast Asian Studies. ISBN 9789813055896.
  16. ^ Obstfeld, Maurice; Rogoff, Kenneth (December 1995). "The Mirage of Fixed Exchange Rates". Journal of Economic Perspectives. 9 (4): 73–96. doi:10.1257/jep.9.4.73. ISSN 0895-3309.

Further reading edit

  • Oxelheim, L. (1990), International Financial Integration, Heidelberg: Springer Verlag. ISBN 3-540-52629-3

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Not to be confused with Impossible triangle The impossible trinity also known as the impossible trilemma the monetary trilemma or the Unholy Trinity is a concept in international economics and international political economy which states that it is impossible to have all three of the following at the same time a fixed foreign exchange rate free capital movement absence of capital controls an independent monetary policyThe Impossible Trinity or The Trilemma in which two policy positions are possible If a nation were to adopt position a for example then it would maintain a fixed exchange rate and allow free capital flows the consequence of which would be loss of monetary sovereignty It is both a hypothesis based on the uncovered interest rate parity condition and a finding from empirical studies where governments that have tried to simultaneously pursue all three goals have failed The concept was developed independently by both John Marcus Fleming in 1962 and Robert Alexander Mundell in different articles between 1960 and 1963 1 Historically in advanced economies the periods pre 1914 and 1970 2014 were characterized by stable foreign exchange rates and free capital movement whereas monetary autonomy was limited The periods 1914 1924 and 1950 1969 had restrictions on capital movement e g capital controls but exchange rate stability and monetary autonomy were present 2 3 Contents 1 Policy choices 1 1 Options 2 Theoretical derivation 3 Trilemma in practice 4 Possibility of a dilemma 5 Historical events 6 See also 7 Notes 8 References 9 Further readingPolicy choices editAccording to the impossible trinity a central bank can only pursue two of the above mentioned three policies simultaneously To see why consider this example which abstracts from risk but this is not essential to the basic point Assume that world interest rate is at 5 If the home central bank tries to set domestic interest rate at a rate lower than 5 for example at 2 there will be a depreciation pressure on the home currency because investors would want to sell their low yielding domestic currency and buy higher yielding foreign currency If the central bank also wants to have free capital flows the only way the central bank could prevent depreciation of the home currency is to sell its foreign currency reserves Since foreign currency reserves of a central bank are limited once the reserves are depleted the domestic currency will depreciate Hence all three of the policy objectives mentioned above cannot be pursued simultaneously A central bank has to forgo one of the three objectives Therefore a central bank has three policy combination options Options edit In terms of the diagram above Oxelheim 1990 the options are Option a A stable exchange rate and free capital flows but not an independent monetary policy because setting a domestic interest rate that is different from the world interest rate would undermine a stable exchange rate due to appreciation or depreciation pressure on the domestic currency Option b An independent monetary policy and free capital flows but not a stable exchange rate Option c A stable exchange rate and independent monetary policy but no free capital flows which would require the use of capital controls Currently Eurozone members have chosen the first option a after the introduction of the euro By contrast Harvard economist Dani Rodrik advocates the use of the third option c in his book The Globalization Paradox emphasising that world GDP grew fastest during the Bretton Woods era when capital controls were accepted in mainstream economics Rodrik also argues that the expansion of financial globalization and the free movement of capital flows are the reason why economic crises have become more frequent in both developing and advanced economies alike Rodrik has also developed the political trilemma of the world economy where democracy national sovereignty and global economic integration are mutually incompatible we can combine any two of the three but never have all three simultaneously and in full 4 Theoretical derivation editThe formal model underlying the hypothesis is the uncovered Interest Rate Parity condition which states that in absence of a risk premium arbitrage will ensure that the depreciation or appreciation of a country s currency vis a vis another will be equal to the nominal interest rate differential between them Since under a peg i e a fixed exchange rate short of devaluation or abandonment of the fixed rate the model implies that the two countries nominal interest rates will be equalized An example of which was the consequential devaluation of the peso which that was pegged to the US dollar at 0 08 eventually depreciating by 46 citation needed This in turn implies that the country implementing the peg has no ability to set its nominal interest rate independently and hence no independent monetary policy The only way then that the country could have both a fixed exchange rate and an independent monetary policy is if it can prevent arbitrage in the foreign exchange rate market from taking place by instituting capital controls on international transactions Trilemma in practice editThe idea of the impossible trinity went from theoretical curiosity to becoming the foundation of open economy macroeconomics in the 1980s by which time capital controls had broken down in many countries and conflicts were visible between pegged exchange rates and monetary policy autonomy While one version of the impossible trinity is focused on the extreme case with a perfectly fixed exchange rate and a perfectly open capital account a country has absolutely no autonomous monetary policy the real world has thrown up repeated examples where the capital controls are loosened resulting in greater exchange rate rigidity and less monetary policy autonomy In 1997 Maurice Obstfeld and Alan M Taylor brought the term trilemma into widespread use within economics 5 In work with Jay Shambaugh they developed the first methods to empirically validate this central yet hitherto untested hypothesis in international macroeconomics 6 Economists Michael C Burda and Charles Wyplosz provide an illustration of what can happen if a nation tries to pursue all three goals at once To start with they posit a nation with a fixed exchange rate at equilibrium with respect to capital flows as its monetary policy is aligned with the international market However the nation then adopts an expansionary monetary policy in order to try to stimulate its domestic economy This involves an increase of the monetary supply and a fall of the domestically available interest rate Because the internationally available interest rate adjusted for foreign exchange differences has not changed market participants are able to make a profit by borrowing in the country s currency and then lending abroad a form of carry trade With no capital control market players will do this en masse The trade will involve selling the borrowed currency on the foreign exchange market in order to acquire foreign currency to invest abroad and this tends to cause the price of the nation s currency to drop due to the sudden extra supply Because the nation has a fixed exchange rate it must defend its currency and will sell its reserves in order to buy its currency back However unless the monetary policy is changed back the international markets will invariably continue until the government s foreign exchange reserves are exhausted note 1 thereby causing the currency to devalue thus breaking one of the three goals and also enriching market players at the expense of the government that tried to break the impossible trinity 7 A 2022 study of the Classical Gold Standard period found that the behavior of advanced economies to international shocks was consistent with the impossible trilemma 8 Possibility of a dilemma editIn the modern world given the growth of trade in goods and services and the fast pace of financial innovation it is possible that capital controls can often be evaded In addition capital controls introduce numerous distortions Hence there are few important countries with an effective system of capital controls though by early 2010 there has been a movement among economists policy makers and the International Monetary Fund back in favour of limited use 9 10 11 Lacking effective control on the free movement of capital the impossible trinity asserts that a country has to choose between reducing currency volatility and running a stabilising monetary policy it cannot do both As stated by Paul Krugman in 1999 12 The point is that you can t have it all A country must pick two out of three It can fix its exchange rate without emasculating its central bank but only by maintaining controls on capital flows like China today it can leave capital movement free but retain monetary autonomy but only by letting the exchange rate fluctuate like Britain or Canada or it can choose to leave capital free and stabilize the currency but only by abandoning any ability to adjust interest rates to fight inflation or recession like Argentina today note 2 or for that matter most of Europe Historical events editThe combination of the three policies fixed exchange rate free capital flow and independent monetary policy is known to cause financial crisis The Mexican peso crisis 1994 1995 the 1997 Asian financial crisis 1997 1998 and the Argentinean financial collapse 2001 2002 13 are often cited as examples In particular the East Asian crisis 1997 1998 is widely known as a large scale financial crisis caused by the combination of the three policies which violate the impossible trinity 14 The East Asian countries were taking a de facto dollar peg fixed exchange rate 15 promoting the free movement of capital free capital flow 14 and making independent monetary policy at the same time First because of the de facto dollar peg foreign investors could invest in Asian countries without the risk of exchange rate fluctuation Second the free flow of capital kept foreign investment uninhibited Third the short term interest rates of Asian countries were higher than the short term interest rate of the United States from 1990 to 1999 For these reasons many foreign investors invested enormous amounts of money in Asian countries and reaped huge profits While the Asian countries trade balance was favorable the investment was pro cyclical for the countries But when the Asian countries trade balance shifted investors quickly retrieved their money triggering the Asian crisis Eventually countries such as Thailand ran out of dollar reserves and were forced to let their currencies float and devalue Since many short term debt obligations were denoted in US dollars debts grew substantially and many businesses had to shut down and declare bankruptcy The disorderly collapse of fixed exchange rate regimes in Asia was anticipated in Obstfeld and Rogoff who showed that empirically almost no fixed exchange rate regime had survived five years once the capital account was opened 16 See also editCapital controls Fixed exchange rate Floating exchange rate Liberal paradox Mundell Fleming model Triffin dilemmaNotes edit In real life examples as the market players reach the point where they suspect the government is running out of the reserves to defend its currency they will pile in with direct speculative attacks where they borrow and sell the nation s currency without bothering with carry trades leading to a quick profit once the inevitable devaluation occurs Note that this was written in 1999 when Argentina had a Fixed exchange rate Argentina abandoned this in January 2002 See Argentine economic crisis 1999 2002 References edit Boughton James M 2003 On the Origins of the Fleming Mundell Model PDF IMF Staff Papers 50 1 1 3 doi 10 5089 9781451852998 001 Retrieved 17 April 2019 Eichengreen Barry Esteves Rui Pedro 2021 Fukao Kyoji Broadberry Stephen eds International Finance The Cambridge Economic History of the Modern World Volume 2 1870 to the Present Cambridge University Press vol 2 pp 501 525 ISBN 978 1 107 15948 8 Broz J Lawrence Frieden Jeffry A 2001 The Political Economy of International Monetary Relations Annual Review of Political Science 4 1 317 343 doi 10 1146 annurev polisci 4 1 317 ISSN 1094 2939 Rodrik Dani 2007 06 27 The inescapable trilemma of the world economy rodrik typepad com Typepad Endurance International Group self published source Obstfeld Maurice Taylor Alan M 1998 The Great Depression as a Watershed International Capital Mobility in the Long Run In Bordo Michael D Goldin Claudia White Eugene N eds The Defining Moment The Great Depression and the American Economy in the Twentieth Century Chicago University of Chicago Press pp 353 402 doi 10 3386 w5960 ISBN 978 0 226 06589 2 S2CID 152881930 Obstfeld Maurice Shambaugh Jay C Taylor Alan M 2005 The Trilemma in History Tradeoffs Among Exchange Rates Monetary Policies and Capital Mobility PDF Review of Economics and Statistics 87 3 423 438 doi 10 1162 0034653054638300 S2CID 6786669 Burda Michael C Wyplosz Charles 2005 Macroeconomics A European Text 4th edition Oxford University Press pp 246 248 515 516 ISBN 978 0 19 926496 4 Bazot Guillaume Monnet Eric Morys Matthias 2022 Taming the Global Financial Cycle Central Banks as Shock Absorbers in the First Era of Globalization The Journal of Economic History 82 3 801 839 doi 10 1017 S0022050722000274 ISSN 0022 0507 S2CID 251268787 Dani Rodrik 2010 03 11 The End of an Era in Finance Project Syndicate Retrieved 2010 05 24 Kevin Gallagher 2010 03 01 Capital controls back in IMF toolkit The Guardian Retrieved 2010 05 24 Subramanian Arvind 2009 11 18 Time For Coordinated Capital Account Controls The Baseline Scenario Retrieved 2009 12 15 Paul Krugman 1999 10 10 O Canada a neglected nation gets its Nobel Slate Retrieved 2010 06 01 Aizenman Joshua 2010 The Impossible Trinity aka The Policy Trilemma University of California Santa Cruz Department of Economics p 11 a b Patnaik Ila Shah Ajay 2010 Asia confronts the impossible trinity PDF Working Paper 2010 64 New Delhi National Institute of Public Finance and Policy archived from the original PDF on 2017 09 22 retrieved 2014 08 06 Garnaut R 1999 Southeast Asia s Economic Crisis Origins Lessons and the Way Forward Heinz Wolfgang Arndt and Hal Hill Institute of Southeast Asian Studies ISBN 9789813055896 Obstfeld Maurice Rogoff Kenneth December 1995 The Mirage of Fixed Exchange Rates Journal of Economic Perspectives 9 4 73 96 doi 10 1257 jep 9 4 73 ISSN 0895 3309 Further reading editOxelheim L 1990 International Financial Integration Heidelberg Springer Verlag ISBN 3 540 52629 3 Retrieved from https en wikipedia org w index php title Impossible trinity amp oldid 1196318555, wikipedia, wiki, book, books, library,

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