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06 Numbers and Powers

USD vs Euro: How to Choose for Savings

Card No. 06·20374 · Updated · Standard formula, shown below

The calculator on this card is switched off while it is checked. The formula is below, and the worked example shows how to do the sum by hand.

To choose between the US dollar and the euro for international savings, compare the currency’s long-term stability, your own future expenses, and the interest rates you can actually earn in that currency. The best choice is usually the currency you plan to spend in retirement or for major purchases, not the one with the highest current exchange rate.

Formula

The calculator works out how much a lump sum of 100 units (dollars or euros) will grow over a set number of years, after adjusting for inflation. It uses three inputs:

  • t – number of years you plan to save (1–50).
  • r – expected annual return on your savings or investment, in percent (e.g., 3 means 3% per year).
  • e – expected annual inflation rate in that currency, in percent.

The real growth rate is calculated as: ((1 + r/100) / (1 + e/100) - 1) × 100. This is the standard Fisher equation, which converts a nominal return into a real return by dividing by the inflation factor.

The future value (nominal) is: 100 × (1 + r/100)^t. The real future value is: 100 × ((1 + r/100) / (1 + e/100))^t. All outputs are in the same currency units you started with (e.g., dollars or euros).

Worked Example

Using the default values: t = 10 years, r = 3% return, e = 2% inflation.

  1. Real growth rate = ((1 + 0.03) / (1 + 0.02) – 1) × 100 = (1.03 / 1.02 – 1) × 100 = (1.0098039 – 1) × 100 = 0.98039%, which rounds to 0.98%.
  2. Future value = 100 × (1.03)^10 = 100 × 1.343916 = 134.39.
  3. Real future value = 100 × (1.03/1.02)^10 = 100 × (1.0098039)^10 = 100 × 1.10219 = 110.22.

So a 100-unit deposit grows to 134.39 units in nominal terms, but its purchasing power only rises to 110.22 units after accounting for 2% yearly inflation.

Why Currency Choice Matters for Savings

When you save in a foreign currency, you are exposed to two separate risks: the performance of your investment (interest, bonds, stocks) and the exchange rate between that currency and your home currency. Even if the euro pays a higher interest rate than the dollar, a fall in the euro’s value can wipe out those gains when you convert back.

For example, if you save in euros and the euro weakens by 10% against your home currency over a year, you lose 10% in home-currency terms regardless of the interest rate. Conversely, a strengthening currency can boost your returns. This is why currency choice is not just about picking the “stronger� currency – it is about matching the currency to your future spending needs.

Central banks in the US (Federal Reserve) and the Eurozone (European Central Bank) set interest rates that influence the return on cash and bonds. Inflation rates also differ. Over the past two decades, both currencies have experienced periods of strength and weakness, and neither has consistently outperformed the other over the long term.

How to Decide: Matching Currency to Spending

The most reliable rule for international savings is to hold assets in the currency you will spend in the future. If you plan to retire in Portugal, you will pay rent, food, and medical bills in euros. If you plan to retire in Florida, you will pay in dollars. Holding savings in the wrong currency adds exchange-rate risk to every future purchase.

Consider these factors:

  • Future expenses: List your expected major costs (housing, healthcare, travel) and their currency.
  • Income sources: If you already receive a pension in dollars, you might want more euro exposure to diversify, or vice versa.
  • Time horizon: For short-term savings (under 3 years), currency fluctuations can be large; for long-term savings, the impact of compounding returns matters more.
  • Interest rate differential: If one currency consistently offers higher real (inflation-adjusted) interest rates, that can justify some currency risk, but only if you are comfortable with volatility.

A common mistake is to chase the currency that looks “cheap� or “strong� today. Exchange rates are notoriously hard to predict. A currency that is weak today may stay weak for years, or reverse suddenly. Saving in a currency because of a current trend is speculation, not prudent planning.

Common Problems and Misconceptions

Misconception: “The dollar is always safer than the euro.� Both are major reserve currencies with deep financial markets. The dollar has been the world’s primary reserve currency for decades, but the euro is also widely held. Safety depends on your personal circumstances, not on which currency is more “famous.�

Problem: Bank fees and conversion costs. When you open a foreign-currency account, you often pay conversion spreads (the difference between buy and sell rates), wire transfer fees, and account maintenance fees. These can eat into your returns, especially for smaller amounts. Compare the total cost, not just the headline exchange rate.

Problem: Tax complexity. Holding foreign currency may trigger reporting requirements in your home country. Some countries tax currency gains as income or capital gains. You should consult a tax professional, as rules vary widely.

Problem: Inflation differences. Even if you earn a high nominal interest rate, high inflation in that currency erodes your purchasing power. The calculator above shows the real return, which is what actually matters.

Comparing USD and EUR: Key Differences

The US dollar and the euro are both fiat currencies, meaning their value is not backed by gold or other commodities. Their exchange rate fluctuates based on interest rates, trade balances, political stability, and market sentiment.

The US Federal Reserve has a dual mandate: maximum employment and price stability. The European Central Bank’s primary objective is price stability. This difference can lead to different interest rate policies. For example, if the Fed raises rates while the ECB holds steady, the dollar often strengthens relative to the euro.

Both currencies are widely used in international trade and finance. The dollar is used in about 88% of global foreign exchange transactions (per BIS data), while the euro is second at about 32%. The euro is the official currency of 20 EU member states, serving over 340 million people.

For savings, the practical difference is not in the “safety� of the currency but in the interest rates you can get and the inflation you experience. Historically, US inflation has averaged slightly higher than Eurozone inflation, but the gap is small and varies year to year.

Practical Steps for Opening a Foreign-Currency Account

  1. Research banks or online financial institutions that offer multi-currency accounts. Many international banks allow you to hold USD, EUR, and other currencies in one account.
  2. Compare the interest rates offered on savings balances in each currency. Rates can differ significantly between banks.
  3. Check the fees for currency conversion, monthly maintenance, and withdrawals. Some banks waive fees if you maintain a minimum balance.
  4. Understand the deposit insurance scheme. In the US, the FDIC insures deposits up to $250,000 per depositor. In the EU, each country has its own scheme, typically up to €100,000.
  5. Consider using a currency exchange service that offers mid-market rates with low spreads, rather than a traditional bank’s retail rate.
  6. Keep records of your transactions for tax reporting.

Alternatives to Holding Cash in One Currency

If you are unsure which currency to choose, you can diversify. Holding a mix of USD and EUR (or other currencies) reduces the risk of any single currency’s decline. This is a simple form of currency hedging.

Another alternative is to invest in globally diversified index funds or ETFs that are denominated in your home currency but hold assets worldwide. This gives you exposure to foreign economies without directly holding foreign cash.

For short-term savings, a high-yield savings account in your home currency is often the simplest and least costly option. For long-term savings, a diversified portfolio of stocks and bonds may outperform cash in any currency, but it carries more risk.

Finally, consider inflation-protected securities, such as US Treasury Inflation-Protected Securities (TIPS) or Eurozone inflation-linked bonds. These adjust your principal for inflation, preserving purchasing power in that currency.

Frequently Asked Questions

Is the US dollar stronger than the euro? “Stronger� can mean two things: the exchange rate or purchasing power. In 2024, the euro has often been worth more than one dollar, but that does not mean the euro is “stronger� – it just means the exchange rate is above 1. A currency’s strength is better measured by its purchasing power (how much goods it buys) and its stability over time.

Can I lose money if the exchange rate changes? Yes. If you convert your savings back to your home currency at a worse rate than when you converted in, you will get less money. For example, if you buy euros at 1.10 USD/EUR and later sell at 1.00, you lose about 9% of your principal, before any interest.

Which currency has higher interest rates? It varies over time. The Federal Reserve and the European Central Bank set policy rates based on their economic conditions. In recent years, the Fed has often had higher rates than the ECB, but that can change. Check current rates from official sources.

Should I save in the currency of the country where I will retire? Generally yes. If you will spend in that currency, you eliminate exchange-rate risk on your savings. If you have expenses in multiple currencies, consider holding a mix.

What is the safest currency for savings? No currency is completely safe. Both the dollar and the euro are considered stable relative to many others, but they are still subject to inflation and exchange-rate fluctuations. Safety also depends on the bank’s deposit insurance and the political stability of the issuing country.

How do I calculate the real return on my savings? Use the formula: real return = (1 + nominal return) / (1 + inflation rate) – 1. The calculator above does this for you. For example, a 3% interest rate with 2% inflation gives a real return of about 0.98%.

Related

Formula used
in t | Years to save | years | 10 | 1 | 50
in r | Expected annual return (%) | % | 3 | -5 | 15
in e | Expected annual inflation (%) | % | 2 | -5 | 15
out real | Real growth of savings (%) | % | ((1 + r/100) / (1 + e/100) - 1) * 100 | 2
out future | Future value (per 100 saved) | currency units | 100 * (1 + r/100)^t | 2
out realval | Real future value (per 100 saved) | currency units | 100 * ((1 + r/100) / (1 + e/100))^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.

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