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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:

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54-593: Unholy Trinity may refer to: Impossible trinity or unholy trinity, a concept in international economics The unholy trinity in John Milton's Paradise Lost consisting of Beelzebub, Lucifer, and Astaroth The unholy trinity of the dragon and the first and second beasts of the Book of Revelation . Popular culture [ edit ] Unholy Trinity (film) , an upcoming film starring Samuel L. Jackson Unholy Trinity ,

108-497: A de facto dollar peg (fixed exchange rate), promoting the free movement of capital (free capital flow) 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

162-467: A 1995 album by Blitzkrieg "Unholy Trinity", a song by Aggressor from Of Long Duration Anguish "Unholy Trinity", a song by Epica from The Score – An Epic Journey "Unholy Trinity", a song by The Who from Endless Wire Unholy Trinity , a book by Mark Aarons and John Loftus Unholy Trinity , a book by Robert Bloch Unholy Trinity: Labor, Capital, and Land in the New Economy ,

216-453: A book by Duncan K. Foley Unholy Trinity: The IMF, World Bank, and WTO , a book by Richard Peet "Unholy Trinity", a term used to label atheist authors Richard Dawkins, Christopher Hitchens, and Sam Harris; see The God Delusion "Unholy Trinity", a term used to label atheist speakers Matt Dillahunty , Seth Andrews , and Aron Ra "Unholy Trinity", a nickname for three albums by Norwegian black metal band Darkthrone: A Blaze in

270-558: A central bank has three policy combination options. In terms of the diagram above (Oxelheim, 1990), the options are: 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

324-527: 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. 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

378-450: A model wherein the central bank's monetary policy responds to exogenous shocks, that the central bank's smoothing of interest rates can explain empirical failures of UIRP. A study of central bank interventions on the US dollar and Deutsche mark found only limited evidence of any substantial effect on deviations from UIRP. UIRP has been found to hold over very small spans of time (covering only

432-743: A movement among economists, policy makers and the International Monetary Fund back in favour of limited use. 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: 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

486-518: 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

540-649: A number of hours) with a high frequency of bilateral exchange rate data. Tests of UIRP for economies experiencing institutional regime changes , using monthly exchange rate data for the US dollar versus the Deutsche mark and the Spanish peseta versus the British pound , have found some evidence that UIRP held when US and German regime changes were volatile, and held between Spain and the United Kingdom particularly after Spain joined

594-413: 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

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648-494: A time of relatively calm markets, led to renewed debate about the extent and origin of deviations from CIRP. Explanations include intermediary constraints that can lead to limits to arbitrage , such as balance sheet costs of arbitrage, raised by a team of researchers at the Bank for International Settlements . Other explanations question common assumptions underlying the CIRP condition, such as

702-416: Is an unbiased predictor of the future spot rate. This relationship can be employed to test whether uncovered interest rate parity holds, for which economists have found mixed results. When uncovered interest rate parity and purchasing power parity hold together, they illuminate a relationship named real interest rate parity , which suggests that expected real interest rates represent expected adjustments in

756-528: Is different from Wikidata All article disambiguation pages All disambiguation pages Impossible trinity 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. Historically in advanced economies,

810-446: Is indifferent between dollar versus euro deposits, then any excess return on euro deposits must be offset by some expected loss from depreciation of the euro against the dollar. Conversely, some shortfall in return on euro deposits must be offset by some expected gain from appreciation of the euro against the dollar. The following equation represents the uncovered interest rate parity approximation. where A more universal way of stating

864-535: 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) 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. The East Asian countries were taking

918-423: 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,

972-943: Is related to the international Fisher effect . The following equations demonstrate how to derive the RIRP equation. where If the above conditions hold, then they can be combined and rearranged as the following: RIRP rests on several assumptions, including efficient markets , no country risk premia, and zero change in the expected real exchange rate. The parity condition suggests that real interest rates will equalize between countries and that capital mobility will result in capital flows that eliminate opportunities for arbitrage. There exists strong evidence that RIRP holds tightly among emerging markets in Asia and also Japan. The half-life period of deviations from RIRP have been examined by researchers and found to be roughly six or seven months, but between two and three months for certain countries. Such variation in

1026-411: Is said to be uncovered . Risk-neutral investors will be indifferent among the available interest rates in two countries because the exchange rate between those countries is expected to adjust such that the dollar return on dollar deposits is equal to the dollar return on euro deposits, thereby eliminating the potential for uncovered interest arbitrage profits. Uncovered interest rate parity helps explain

1080-418: Is shown to be equal to the dollar return on euro deposits, F t S t ( 1 + i c ) {\displaystyle {\frac {F_{t}}{S_{t}}}(1+i_{c})} . Traditionally, covered interest rate parity (CIRP) was found to hold when there is open capital mobility and limited capital controls , and this finding is confirmed for all currencies freely traded in

1134-483: The European Union in 1986 and began liberalizing capital mobility. When both UIRP (particularly in its approximation form) and purchasing power parity (PPP) hold, the two parity conditions together reveal a relationship among expected real interest rates, wherein changes in expected real interest rates reflect expected changes in the real exchange rate. This condition is known as real interest rate parity (RIRP) and

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1188-600: The determination of the spot exchange rate . The following equation represents uncovered interest rate parity. where The dollar return on dollar deposits, 1 + i $ {\displaystyle 1+i_{\$ }} , is shown to be equal to the dollar return on euro deposits, E t ( S t + k ) S t ( 1 + i c ) {\displaystyle {\frac {E_{t}(S_{t+k})}{S_{t}}}(1+i_{c})} . Uncovered interest rate parity asserts that an investor with dollar deposits will earn

1242-399: The forward exchange rate and the future spot exchange rate . Economists have found empirical evidence that covered interest rate parity generally holds, though not with precision due to the effects of various risks, costs, taxation, and ultimate differences in liquidity. When both covered and uncovered interest rate parity hold, they expose a relationship suggesting that the forward rate

1296-713: The real exchange rate . This relationship generally holds strongly over longer terms and among emerging market countries. Interest rate parity rests on certain assumptions, the first being that capital is mobile - investors can readily exchange domestic assets for foreign assets. The second assumption is that assets have perfect substitutability, following from their similarities in riskiness and liquidity . Given capital mobility and perfect substitutability, investors would be expected to hold those assets offering greater returns, be they domestic or foreign assets. However, both domestic and foreign assets are held by investors. Therefore, it must be true that no difference can exist between

1350-418: The unbiasedness hypothesis , which states that the forward exchange rate is an unbiased predictor of the future spot exchange rate. Given strong evidence that CIRP holds, the forward rate unbiasedness hypothesis can serve as a test to determine whether UIRP holds (in order for the forward rate and expected spot rate to be equal, both CIRP and UIRP conditions must hold). Evidence for the validity and accuracy of

1404-542: 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

1458-506: The Northern Sky , Under a Funeral Moon and Transilvanian Hunger "Unholy Trinity", nickname of the trio of Quinn Fabray , Santana Lopez , and Brittany Pierce from the TV show Glee "Unholy Trinity of British Hard Rock and Heavy Metal", an honorific nickname for the three original heavy metal bands Black Sabbath , Deep Purple and Led Zeppelin "Unholy Trinity", a nickname for

1512-628: The US in the foreign exchange swap market. The European Central Bank 's efforts to provide US dollar liquidity in the foreign exchange swap market, along with similar efforts by the Federal Reserve , had a moderating impact on CIRP deviations between the dollar and the euro. Such a scenario was found to be reminiscent of deviations from CIRP during the 1990s driven by struggling Japanese banks which looked toward foreign exchange swap markets to try and acquire dollars to bolster their creditworthiness . A second period of deviations from CIRP after 2012, at

1566-415: The approximation is "the home interest rate equals the foreign interest rate plus the expected rate of depreciation of the home currency." When the no-arbitrage condition is satisfied with the use of a forward contract to hedge against exposure to exchange rate risk, interest rate parity is said to be covered . Investors will still be indifferent among the available interest rates in two countries because

1620-584: The capital account was opened. Uncovered interest rate parity Interest rate parity is a no- arbitrage condition representing an equilibrium state under which investors compare interest rates available on bank deposits in two countries. The fact that this condition does not always hold allows for potential opportunities to earn riskless profits from covered interest arbitrage . Two assumptions central to interest rate parity are capital mobility and perfect substitutability of domestic and foreign assets . Given foreign exchange market equilibrium,

1674-441: The choice of discount factors. Deviations from CIRP remain subject to ongoing debate. When both covered and uncovered interest rate parity (UIRP) hold, such a condition sheds light on a noteworthy relationship between the forward and expected future spot exchange rates, as demonstrated below. Dividing the equation for UIRP by the equation for CIRP yields the following equation: which can be rewritten as: This equation represents

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1728-454: The currency examined, and deviations from UIRP have been found to be less substantial when examining longer time horizons. Some studies of monetary policy have offered explanations for why UIRP fails empirically. Researchers demonstrated that if a central bank manages interest rate spreads in strong response to the previous period's spreads, that interest rate spreads had negative coefficients in regression tests of UIRP. Another study which set up

1782-405: 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, or for that matter most of Europe). The combination of the three policies – fixed exchange rate, free capital flow, and independent monetary policy –

1836-489: 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." The formal model underlying

1890-672: The expense of the government that tried to break the impossible trinity. 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. 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

1944-524: The forward exchange rate sustains equilibrium such that the dollar return on dollar deposits is equal to the dollar return on foreign deposit, thereby eliminating the potential for covered interest arbitrage profits. Furthermore, covered interest rate parity helps explain the determination of the forward exchange rate . The following equation represents covered interest rate parity. where The dollar return on dollar deposits, 1 + i $ {\displaystyle 1+i_{\$ }} ,

1998-413: 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

2052-447: 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

2106-469: The interest rate available on dollar deposits, while an investor holding euro deposits will earn the interest rate available in the eurozone, but also a potential gain or loss on euros depending on the rate of appreciation or depreciation of the euro against the dollar. Economists have extrapolated a useful approximation of uncovered interest rate parity that follows intuitively from these assumptions. If uncovered interest rate parity holds, such that an investor

2160-551: The interest rate parity condition implies that the expected return on domestic assets will equal the exchange rate -adjusted expected return on foreign currency assets. Investors then cannot earn arbitrage profits by borrowing in a country with a lower interest rate, exchanging for foreign currency, and investing in a foreign country with a higher interest rate, due to gains or losses from exchanging back to their domestic currency at maturity . Interest rate parity takes on two distinctive forms: uncovered interest rate parity refers to

2214-415: 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,

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2268-418: The parity condition in which exposure to foreign exchange risk (unanticipated changes in exchange rates) is uninhibited, whereas covered interest rate parity refers to the condition in which a forward contract has been used to cover (eliminate exposure to) exchange rate risk. Each form of the parity condition demonstrates a unique relationship with implications for the forecasting of future exchange rates:

2322-516: The periods pre-1914 and 1970–2020 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. 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

2376-479: The presence of transaction costs, political risks , tax implications for interest earnings versus gains from foreign exchange, and differences in the liquidity of domestic versus foreign assets. Researchers found evidence that significant deviations from CIRP during the onset of the 2007–2008 financial crisis were driven by concerns over risk posed by counter parties to banks and financial institutions in Europe and

2430-485: The present day. One such example is when the United Kingdom and Germany abolished capital controls between 1979 and 1981. Maurice Obstfeld and Alan Taylor calculated hypothetical profits as implied by the expression of a potential inequality in the CIRP equation (meaning a difference in returns on domestic versus foreign assets) during the 1960s and 1970s, which would have constituted arbitrage opportunities if not for

2484-547: The prevalence of capital controls. However, given financial liberalization and resulting capital mobility, arbitrage temporarily became possible until equilibrium was restored. Since the abolition of capital controls in the United Kingdom and Germany, potential arbitrage profits have been near zero. Factoring in transaction costs arising from fees and other regulations , arbitrage opportunities are fleeting or nonexistent when such costs exceed deviations from parity. While CIRP generally holds, it does not hold with precision due to

2538-437: The returns on domestic assets and the returns on foreign assets. That is not to say that domestic investors and foreign investors will earn equivalent returns, but that a single investor on any given side would expect to earn equivalent returns from either investment decision. When the no-arbitrage condition is satisfied without the use of a forward contract to hedge against exposure to exchange rate risk, interest rate parity

2592-425: The same term [REDACTED] This disambiguation page lists articles associated with the title Unholy Trinity . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Unholy_Trinity&oldid=1236624853 " Category : Disambiguation pages Hidden categories: Short description

2646-457: 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

2700-445: 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, thereby causing the currency to devalue, thus breaking one of the three goals and also enriching market players at

2754-402: The term "trilemma" into widespread use within economics. In work with Jay Shambaugh , they developed the first methods to empirically validate this central, yet hitherto untested, hypothesis in international macroeconomics. 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

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2808-405: The three personas of professional wrestling legend The Undertaker ; "The Deadman", "The American Badass" and Mark Calaway "Unholy Trinity", a concept and the main antagonists in the game "FAITH:the unholy trinity" made by "airdorf games" and published by "new blood interactive" See also [ edit ] Trinity (disambiguation) Holy Trinity (disambiguation) Topics referred to by

2862-420: The two countries' nominal interest rates will be equalized. An example of which was the consequential devaluation of the peso , that was pegged to the US dollar at 0.08, eventually depreciating by 46%. 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

2916-470: The unbiasedness hypothesis, particularly evidence for cointegration between the forward rate and future spot rate, is mixed as researchers have published numerous papers demonstrating both empirical support and empirical failure of the hypothesis. UIRP is found to have some empirical support in tests for correlation between expected rates of currency depreciation and the forward premium or discount . Evidence suggests that whether UIRP holds depends on

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