Fixed exchange rates peg a currency’s value to another currency or a commodity, while floating rates let market supply and demand set the value daily. The choice directly affects how predictable import/export prices are, how central banks can use monetary policy, and how much currency risk businesses and travelers face.
Formula
The calculator estimates how much the purchasing power of a currency changes over time due to two forces: the inflation differential and exchange-rate volatility. The formula is:
Price impact (%) ≈ (inflation differential × years) + (volatility × √years)
- Inflation differential – the annual percentage point difference in inflation between the fixed-rate country and the floating-rate country. Positive means the fixed-rate currency loses purchasing power faster.
- Volatility – the annual standard deviation of the exchange rate, expressed as a percentage. For a truly fixed rate, this is near zero.
- Years – the holding or planning period.
The first term captures the steady erosion from inflation; the second captures the compounding effect of exchange-rate swings. Both are additive in this simplified model.
Worked Example
Using the defaults: 1 year, 2% inflation differential, 5% volatility.
- Inflation effect: 2% × 1 = 2%
- Volatility effect: 5% × √1 = 5%
- Total: 2% + 5% = 7%
So over one year, the combined effect on prices is roughly 7%. The calculator shows 7.00%.
Background: How Exchange Rate Systems Evolved
For most of history, currencies were tied to gold or silver. The gold standard (broadly used from the 1870s to 1914) fixed the value of each currency to a specific weight of gold, making exchange rates between gold-backed currencies automatically fixed. After World War II, the Bretton Woods system pegged most major currencies to the US dollar, which was itself convertible to gold at $35 per ounce. That system collapsed in 1971 when the US ended gold convertibility, and since then most major economies have used floating rates.
Today, the world is a mix: the US dollar, euro, Japanese yen, and British pound float. Many smaller economies peg to the dollar or euro, while some use a “managed float� where the central bank intervenes to smooth extreme movements without committing to a specific rate.
How Fixed Rates Work
Under a fixed (or pegged) regime, the central bank announces a target exchange rate and stands ready to buy or sell its currency to defend it. If the currency weakens, the bank sells foreign reserves (usually dollars) and buys its own currency. If it strengthens, it does the opposite.
Key features:
- Predictability – importers and exporters know tomorrow’s rate, reducing hedging costs.
- Discipline – the peg forces the central bank to keep inflation close to the anchor country’s inflation, or the peg becomes unsustainable.
- Reserve requirements – the central bank must hold large foreign reserves to defend the peg.
- Loss of independent monetary policy – interest rates must follow the anchor country, not local conditions.
A classic example is the Hong Kong dollar, pegged to the US dollar since 1983 within a narrow band. Saudi Arabia pegs its riyal to the dollar, and Denmark pegs the krone to the euro.
How Floating Rates Work
In a floating system, the exchange rate is determined by supply and demand in the foreign exchange market. If more people want to buy a country’s goods, its currency appreciates. If investors sell off assets, it depreciates.
Features:
- Automatic adjustment – trade deficits tend to weaken a currency, making exports cheaper and imports more expensive, which can correct the imbalance.
- Monetary freedom – the central bank can set interest rates for domestic goals like employment or inflation control.
- Volatility – rates can swing widely due to speculation, news, or capital flows.
- No reserve requirement – the central bank does not need to hold large foreign reserves to defend a rate.
Most developed economies float. For example, the US dollar, euro, and yen fluctuate daily against each other based on interest rate differentials, trade flows, and geopolitical events.
How the Choice Affects Prices
The most direct effect is on import and export prices. Under a fixed rate, a company that imports parts can quote prices in local currency with confidence. Under a floating rate, a sudden 10% depreciation makes imports 10% more expensive in local currency, feeding into consumer prices.
For consumers, a floating rate means the price of imported goods (electronics, oil, food) can change even if the foreign price stays the same. For a country with a fixed rate, the domestic price of imports is stable, but the central bank must maintain the peg, often by adjusting interest rates or using reserves.
Inflation is also linked. A fixed rate can “import� low inflation from the anchor country. If the anchor country has low inflation, the pegging country tends to have low inflation too, because its money supply is constrained by the peg. A floating rate allows a country to have its own inflation rate, but a depreciating currency can itself cause inflation by raising import costs.
Common Problems and Misconceptions
Misconception: Fixed rates are always stable. They are stable only as long as the central bank can defend them. If reserves run out or the peg is set at an unrealistic level, the eventual devaluation is often sudden and severe. Examples include the 1997 Asian financial crisis, where Thailand’s baht peg collapsed, and Argentina’s 2001 crisis after its dollar peg failed.
Misconception: Floating rates always cause chaos. In practice, most developed economies have managed fine with floating rates for decades. The volatility is usually modest, and businesses hedge using forward contracts and options.
Problem: Impossible trinity. A country cannot simultaneously have all three: a fixed exchange rate, free capital movement, and independent monetary policy. It must choose two. For example, Hong Kong has a fixed rate and free capital flows, but no independent interest rate policy – it follows the US Federal Reserve.
Problem: Currency wars. Some countries may try to weaken their currency to boost exports, leading to retaliatory devaluations. This is harder under a fixed regime unless the peg is deliberately reset.
How to Choose: Fixed or Floating?
There is no universally better system; it depends on the country’s economic structure.
- Small, open economies with heavy trade in one currency (e.g., oil exporters) often peg to that currency to reduce price volatility.
- Countries with high inflation sometimes peg to a stable currency to “borrow� credibility and break inflationary expectations.
- Large, diversified economies (US, eurozone, Japan) prefer floating because they need independent monetary policy and can tolerate exchange-rate swings.
- Countries with weak institutions may find a fixed rate too hard to maintain and opt for floating to avoid sudden crises.
In practice, many countries use intermediate regimes: a managed float, a crawling peg (adjusting the rate periodically), or a band (allowing movement within a range). These try to combine the predictability of fixed rates with the flexibility of floating.
Frequently Asked Questions
Does a fixed exchange rate mean prices never change? No. It means the exchange rate is stable, but domestic prices can still change due to inflation, wages, and supply shocks. The peg only stabilizes the foreign price of imports and exports, not the overall price level.
Why do some countries abandon fixed rates? Usually because maintaining the peg becomes too costly. If the market believes the peg is overvalued, speculators may attack it, and defending it requires huge reserves and high interest rates that damage the economy. Abandoning the peg often leads to a sharp devaluation but allows the economy to adjust.
Can a floating rate cause hyperinflation? A floating rate alone does not cause hyperinflation, but a rapid depreciation can feed inflation by raising import prices. Hyperinflation is usually caused by excessive money printing, not by the exchange rate regime itself. Many hyperinflation cases occurred under fixed or managed regimes.
What is a “dirty float�? It is a floating rate where the central bank occasionally intervenes to influence the rate, without committing to a fixed level. Most countries that say they float actually operate a dirty float, intervening during extreme volatility.
How do businesses hedge against floating rates? They use financial instruments like forward contracts (agreeing to exchange currency at a future date at a fixed rate), options, or currency swaps. The cost of hedging is a real expense that fixed-rate countries avoid.
Is the US dollar fixed or floating? The US dollar is floating. Its value against other currencies changes every day. However, many other countries peg their currencies to the dollar, making it an anchor currency.
Related
Formula used
in t | Time horizon (years) | years | 1 | 0.1 | 50 in v | Annual inflation difference (fixed – floating, %) | % | 2 | -20 | 20 in s | Currency volatility (annual standard deviation, %) | % | 5 | 0 | 50 out impact | Approx. price impact over horizon (%) | % | (v * t) + (s * sqrt(t)) | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.
More cards in this drawer
- Is G-Sync Worth It? Benefits, Costs, and Alternatives
- AI Coding Tools: Do Developers Lose Their Skills?
- Exercise and Muscle Aging: What Flies and Mice Reveal
- How to Fix a Steam Service Error on Windows
- Decision Scoring Models vs Language Models: Which to Use?
- Paper Mario: The Thousand-Year Door Beyond the Remake