Who sets a currency’s price, the market or the government? The answer decides what the central bank can do, and the impossible trinity is the sharpest statement of what it cannot. This page goes from the menu of regimes, through the history that produced them, to a lab that breaks a peg, the central bank’s balance sheet under sterilisation, and a proof of the trilemma. 22 past-paper questions at the end.
The regimes in use today are the result of three systems that broke. The timeline is short, and each step is the answer to at least one past-paper question.
Each currency is defined as a weight of gold, so every rate between two currencies is fixed through gold. JNU 2013: countries linked the value of their money to a specific weight of gold.
Forty-four countries sign the IMF's Articles of Agreement. The dollar is worth one thirty-fifth of an ounce of gold, and every other currency is pegged to the dollar. The dollar becomes the reserve currency.
The IMF creates the Special Drawing Right, an asset of its own that countries can hold as reserves. At first it was defined as a fraction of gold equal to one US dollar. UOH 2013 calls it paper gold.
In August 1971 the United States stops exchanging officially held dollars for gold. The Smithsonian realignment of December 1971 does not hold, and by early 1973 the major currencies float.
The Jamaica Agreement of January 1976 lets members choose their own regime, and the Second Amendment to the IMF's Articles of 1978 writes that into law. Managed floating, since 1973, is the result (CUET 2020).
Maastricht (in force November 1993) set the road to a single currency. The euro began on 1 January 1999, with notes and coins from 2002.
Two of the questions are on how reserves were held. Under the gold exchange standard, foreign exchange reserves consist of gold plus convertible currencies (UOH 2013), which is what the Bretton Woods system did with the dollar. And between 1944 and 1971 the exchange rate between any two currencies was fixed within narrow boundaries (UOH 2015), unlike the period after, in which managed exchange rates have supported some restriction on fluctuations without fixing them (CUET 2020).
Suppose a currency is overvalued at its peg: at the fixed rate, people want to buy more foreign currency than others want to sell. The central bank has to fill the gap or the peg goes. The order of events is a UGC NET question, and the logic is a chain:
That is B, A, E, C, D in the question, UGC NET Dec 2023. The last step is the weak point. If the pressure is temporary the bank can wait it out. If it persists, the reserves run down and the peg falls. Try it. The market is the one used on the exchange-rates page, where the rate clears at ₹80, and each year the demand for dollars grows by a little more.
The central bank sells dollars every year, and the sales grow because the gap grows. In year 6 the reserves are gone and the rate jumps to the market's ₹84.5. A shock that persists defeats any peg, and the fall comes in one step.
With a shock of 6 a year and reserves of 100, the fixed rate holds until year 6, then jumps to ₹84.5. A float never runs out of anything, because it moves at once: ₹87.5 by year 10. A band is in between. The rate floats until it touches ₹84, and then the bank has to defend that edge, so by year 10 it has sold 80 and holds 20 (try 300 for reserves to see a defence that lasts).
Two lessons. A peg is only as strong as the reserves behind it relative to the pressure, and a shock that keeps growing beats any reserves. And the pain is not avoided by a peg; it is postponed, and arrives all at once. The speed of the fall is why governments dread a peg breaking.
The mirror image of defending a peg is holding one down during a capital inflow. Foreigners want the home currency, so it would rise. To stop it, the central bank buys foreign currency and pays in newly created home money. Look at the bank’s balance sheet. Its assets are net foreign assets (reserves) and domestic assets (bonds and loans); its liability is the monetary base. Buying foreign currency raises the first, and the base rises with it, so the money supply grows and the interest rate falls.
Sterilisation nullifies that effect on the money supply. The bank sells domestic bonds of the same value, which takes the new money back out. In the lab below, try both ends.
Capital is flooding in and the central bank is holding the rate. To stop the home currency rising it buys the foreign currency on offer, and pays for it with newly created home money.
Unsterilised: the base money rises by 60, the same as the foreign currency bought. More money pushes the home interest rate down, which is how a fixed rate with free capital pulls policy toward the world rate.
Unsterilised, buying 60 takes the base from 500 to 560. Fully sterilised, net foreign assets rise to 260, domestic assets fall to 240, and the base stays at 500. CUET 2023 asks for exactly this change: a rise in net foreign assets and a decline in domestic assets. A second CUET question tests the statement form. In an open economy, (A) sterilisation implies nullifying the impact of foreign-exchange transactions on the domestic money supply, and (B) in a sterilised intervention a purchase of foreign assets should be matched by a sale of domestic assets. Both are true. (C) is false, since a fixed rate with perfect capital mobility leaves no independent monetary policy, and (E) is false, since the real rate also moves with prices. So the key is A and B only.
Sterilisation is limited. It lets the bank keep its interest rate away from the world rate for a while, but it needs a supply of bonds to sell, it costs the bank the gap between what the bonds pay and what its foreign assets earn, and by keeping the home rate high it keeps attracting the inflow it is trying to stop.
Three goals look attractive together. A fixed exchange rate gives traders certainty. Free capital movement lets savings find the best use anywhere. An independent monetary policy lets the central bank fight home recessions and inflation. The trilemma says a country can hold any two, never all three. The proof is short, and it rests on the uncovered interest parity of the parity page.
An investor with one rupee can hold a home bond paying , or change it into foreign currency, hold a foreign bond paying , and change back. The second route also earns or loses whatever the exchange rate does. With the expected rise in the price of foreign currency, the two routes give the same return only if
This is uncovered interest parity, from the parity page. If the two sides differ and capital is free, money moves until they match.
If the government fixes the rate and people believe it, nobody expects it to move: . The condition becomes
The home interest rate is the world interest rate. It is no longer a choice.
Say the world rate is 5% and the central bank wants 8%. Every rupee now earns 3 points more at home, so investors bring money in and sell foreign currency. To hold the rate, the central bank has to buy that foreign currency, and the rupees it pays out are new money, which pushes the home rate down toward 5%. It can offset this by selling bonds (sterilising), which mops the money up and keeps 8%, but then the inflow carries on, reserves swell, and the bonds to sell run out. The rate cannot be held at 8%.
Let the rate float, and can be anything, so the home rate can differ from the world rate: at 8% against 5%, investors are content if they expect the rupee to lose 3% a year. Or restrict capital, and the equation does not bind because money cannot move to enforce it. Or accept and give up the independent policy. Each side of the triangle is one of these.
Fixed rate and free capital: the interest rate is not yours (a euro-area member). Fixed rate and independent policy: capital must be controlled (Bretton Woods). Free capital and independent policy: the rate must float (the large floaters).
The trilemma shows up in the effectiveness of policy. With free capital, the result of the Mundell-Fleming model (see the IS-LM-BP page) is a mirror:
| Fixed rate | Floating rate | |
|---|---|---|
| Monetary policy | Completely ineffective (UOH 2021) | Effective, and autonomous (UOH 2018) |
| Fiscal policy | Effective: the central bank accommodates it | Ineffective: the exchange rate crowds out the gain |
Why does a floating rate help with monetary policy? Lower home rates cause a capital outflow, which depreciates the currency, which boosts exports. Under a fixed rate the same outflow forces the central bank to sell reserves and shrink the money supply back, undoing the cut.
Related, and asked twice by JNU, is the conflict of internal and external balance. Under a fixed rate, the goals can conflict: expansionary policy to cut unemployment lifts income, which raises imports and can open a trade deficit and a balance of payments problem (statements A and C of JNU 2019 are true; B is false). Greater flexibility eases that conflict, and means a recession abroad does not have contractionary effects at home, since the exchange rate absorbs it (JNU 2021, A and C). A more stable environment for trade and investment (B) is an argument for fixed rates, not flexible.
What a country gives up by sharing a currency, and when that is worth it, is the subject of the optimum currency area section of the integration page.
India’s own path, from a controlled rate to a market-determined one, is a short list of dates that the RBI records:
The rupee is devalued in two steps, about 18% against the dollar in all, in the balance of payments crisis.
A dual exchange rate system, the Liberalised Exchange Rate Management System, is introduced as a step toward a market-determined rate.
The exchange rate is unified: one rate, determined by demand and supply.
India accepts Article VIII of the IMF's Articles, making the rupee convertible on the current account. Capital account convertibility stays partial.
UOH 2015 asks what the rupee is. The answer, since August 1994, is fully convertible on the current account but not on capital account transactions. Current account convertibility means no restriction on buying foreign currency to pay for imports, services, travel or interest; capital account convertibility would mean the same for buying foreign assets. India has opened its capital account only part of the way. The rate itself is market-determined, with the RBI intervening, which is the managed float of the menu.
The foreign-exchange market of the exchange-rates page: the rate that clears it is ₹80 per dollar before any shock.
Definitions, directions and one-step sums. Most CUET, UGC NET and Hyderabad questions sit here.
Classification traps, multi-step numericals and statement questions, up to the hardest JNU, JAM and GATE items.
The Delhi School entrance asks this topic harder than any other exam. These questions are kept apart from the ordinary sets.
These are questions from the TestStop bank. A free account answers 10 a day, each with its worked solution; All-Access opens every set with no daily limit.
Facts on this page were read against these sources on 6 October 2026. India’s dates: the RBI chronology for 1991 to 2000 (July 1991 devaluation of about 18% against the dollar, LERMS in March 1992, a unified rate in March 1993, and rupee convertibility on the current account with acceptance of Article VIII in August 1994). Bretton Woods: Federal Reserve History (forty-four nations, $35 an ounce, lasted until 1971). The end of the par-value system in early 1973 and the Second Amendment: the IMF’s History 1972 to 1978. The SDR, created in 1969: IMF fact sheet. The euro: EU history, 1990 to 99. The first price of the model, ₹80 per dollar, is a stylised number, not a quotation.
The impossible trinity, or trilemma, says a country cannot have all three of a fixed exchange rate, free movement of capital, and an independent monetary policy. Any two can be had together. The reason is interest parity: with a credible fixed rate and free capital, the home interest rate must equal the world rate, so the central bank has no rate of its own to choose.
Under a fixed rate the government sets the rate and the central bank buys or sells foreign currency in any amount to hold it, using its reserves. Under a floating rate the market sets the rate through demand and supply and the central bank does not intervene. A managed float sits between, with intervention to smooth sharp moves.
Sterilised intervention is a central bank purchase or sale of foreign currency that is offset by an opposite trade in domestic assets, so the money supply does not change. If it buys foreign currency during a capital inflow, it sells domestic bonds of the same value: its net foreign assets rise, its domestic assets fall by the same amount, and the monetary base is unchanged.
A crawling peg is an exchange rate fixed to a currency or basket but revised in small steps, by a rule, usually to follow the inflation gap. It avoids the large, sudden devaluations of an ordinary peg, which UOH 2021 contrasts with a system of long constant periods broken by sharp devaluations.
No. The rupee has been convertible on the current account since August 1994, when India accepted Article VIII of the IMF's Articles of Agreement, but the capital account is only partly open. Anyone can buy foreign currency to pay for imports, travel or interest, but investment flows are still governed by limits.
Under the gold standard each currency was defined as a weight of gold. Bretton Woods, agreed in July 1944, pegged every currency to the dollar and the dollar to gold at $35 an ounce. The United States ended dollar-to-gold convertibility in August 1971, and by early 1973 the major currencies floated. The Jamaica Agreement of 1976 and the Second Amendment of 1978 accepted this.