How to Calculate an Exchange Rate (2024)

Exchange Rates: An Overview

An exchange rate defines how much it costs to exchange one currency for another. Exchange rates fluctuate constantly throughout the week as currencies are actively traded. Thistrading pushes the price up and down, similar to the way that prices of other assets such as gold or stocks move up and down.

The official exchange rate of a currency on the foreign exchange market (forex) is also known as the market price (the current price at which a currency can be bought or sold). That exchange rate or price (e.g., for how many U.S. dollars it takes to buy a Canadian dollar) is different from the exchange rate you may receive from your bank when you exchange currency. It is often a key element of financial trilemmas.

Here’s how exchange rates work, and how to figure out if you are getting a good deal.

Key Takeaways

  • An exchange rate determines the cost to buy one currency with another.
  • The forex market price is different from the rate you receive when buying a foreign currency at your bank.
  • Your bank marks up the forex price as compensation for its currency exchange service.
  • You can shop around for the most attractive exchange rate available.
  • Currency exchange rates fluctuate throughout the day.

Understanding Exchange Rates

Traders and institutions buy and sell currencies 24 hours a day during the week. For a trade to occur, one currency must be exchanged for another. For example, to buyBritish pounds (GBP), a different currency must be used for the transaction.

The two currencies used will create a currency pair. If U.S. dollars (USD) are used to buy GBP, the exchange rate is for the GBP/USD pair.

Access to these forex markets can be found through any of the major forex brokers.

How to Read a Currency Pair

It’s important to understand how to read a currency pair. In the ordering of a currency pair, the currency listed on the left is the currency being purchased. It always represents one unit of the currency. The currency on the right is the currency used to make the purchase.

Take the USD/CAD currency pair. USD is the currency being bought, CAD (Canadian dollars) is the currency used to make the purchase. The exchange rate represents how much of the second currency, CAD, is needed to purchase one unit of the first (USD).

How to Calculate an Exchange Rate

If the USD/CAD currency pair is 1.33, that means it costs 1.33 Canadian dollars to obtain 1 U.S. dollar.

Conversely, to find out how much it costs to buy one Canadian dollar using U.S. dollars, use the following formula:

1 / exchange rate
1 / 1.33 = 0.7518

It costs 0.7518 U.S. dollars to buy one Canadian dollar. This price would be reflected by the CAD/USD pair. Note that the position of the currencies has switched: Canadian dollars are being bought with U.S. dollars.

Some of the most popular currencies that trade against the U.S. dollar are the euro (EUR/USD), the Japanese yen (USD/JPY), the British pound (GBP/USD), the Chinese yuan (USD/CNY), the Swiss franc (USD/CHF), the Australian dollar (USD/AUD), and the Canadian dollar (USD/CAD).

The ordering in each set of parentheses above for these exchange pairs reflects the customary direct quote scheme for each pairing.

Conversion Spreads

When you go to the bank to convert your money to another currency, you most likely won’t get the market price that traders get on the forex. The bank or currency exchange house will markup the price so they make a profit. Credit cards and payment service providers such as PayPal also do this when converting currencies.

If the USD/CAD price is 1.33, the market is saying it costs 1.33 Canadian dollars to buy 1 U.S. dollar. At the bank, though, it may cost 1.37Canadian dollars. The difference between the market exchange rate and the exchange rate it charges is the bank’s profit. It is compensating itself for providing the immediate currency exchange service.

To calculate how much more a bank might charge you vs. the market exchange rate, take the difference between the two exchange rates, and divide it by the market exchange rate (then multiply by 100 to convert the decimal to a percentage):

((1.37 - 1.33)/1.33) × 100 = 3% markup

A markup will also be present if converting U.S. dollars to Canadian dollars. If the CAD/USD exchange rate is 0.75 (see above), then the bank may charge 0.7725. They are charging you more U.S. dollars than the market rate:

((0.7725 - 0.75)/0.75) × 100 = 3% markup

The bank gives you cash,whereas traders in the market do not deal in cash. Wire fees and processing or withdrawal fees would be applied to a forexaccount if an investor needed the money in physical form.

In most cases, someone converting currencies wants to get the cash instantly and with as few fees as possible. Paying a markup to a bank or credit card company is a worthwhile compromise.

However, if you are converting one currency to another, to save money, shop around for an exchange rate that is closest to the market exchange rate.

Some banks have ATM network alliances worldwide. Customers can obtain a more favorable exchange rate when they withdraw funds from allied banks.

Currency Calculation Example

Need a foreign currency? Exchange rates can help you to determine how much foreign currency you can get for a specific amount of your local currency, or how much of your local currency you’ll need to spend for a certain amount of the foreign currency.

For example, if you’re heading to Europe, you’ll need euros (EUR) and will need to check the EUR/USD exchange rate at your bank. The market rate may be 1.113, but a bank might chargeyou 1.146 or more.That means it may take $1.146 U.S. dollars to buy 1 euro.

What You Get for $1,000

Assume you have $1,000 with which to buy euros. How many will that $1,000 get you? Divide $1,000 by 1.146 (what a bank may charge) and the result is 872.60 euros. That is how many euros you get for your $1,000.

How Much You Pay for 1,500 Euros

Now assume you already know that you want 1,500 euros for your trip. How much will they cost you in U.S. dollars? Multiply 1,500 by 1.146 (the same bank exchange rate) and the result is $1,719. That is how much you need to pay to get your 1,500 euros.

Do You Multiply or Divide to Convert Currency?

To convert from a base currency, you would multiply by the exchange rate. If the exchange rate is greater than 1, you will get a larger number—that is, you will get more of the second currency in exchange for the first. If the exchange rate is smaller than one, you will get a smaller number, which means you get less of the second currency in exchange for the first.

Do Exchange Rates Stay the Same?

Currency exchange rates change multiple times a day based on how much in demand they are, which is in turn impacted by the global economy. If there is a high demand for a certain currency, its value will increase.

What Is Forex?

Forex stands for foreign exchange. It is the market for trading international currencies. Similar to how stock traders buy and sell stocks based on their expectations for the future action of stock prices, forex traders exchange large amounts of one currency for another based on where they feel currency values are headed.

The Bottom Line

Exchange rates are the cost of one currency relative to another. The order in which a currency pair is listed matters. Remember, the currency on the left is always equal to one unit, and the exchange rate is how much of the currency on the right it takes to buy one unit of that first currency.

With the exchange rate, you can calculate both the amount of foreign currency you’d get for a certain amount of dollars and what you’d have to pay for a certain amount of foreign currency.

Banks will markup the exchange rates of currencies to compensate themselves for the service they provide. Shopping around may save you money as some companies will have a smaller markup, relative to the market exchange rate, than others.

How to Calculate an Exchange Rate (2024)

FAQs

How to Calculate an Exchange Rate? ›

If "a" is the money you have in one currency and "b" is the exchange rate, then "c" is how much money you'll have after the exchange. So a * b = c, and a = c/b. For instance, say you want to convert Euros to US dollars.

What is the formula for calculating exchange rates? ›

If "a" is the money you have in one currency and "b" is the exchange rate, then "c" is how much money you'll have after the exchange. So a * b = c, and a = c/b. For instance, say you want to convert Euros to US dollars.

Do you multiply or divide to convert currency? ›

Easy mistakes to make

It is easy to confuse whether you need to multiply or divide by the exchange rate. One way to remember is with the rule: If you are going from the “1” to the other currency then multiply. If you are going to the “1” from the other currency then divide.

How to calculate average exchange rate? ›

This method calculates the average exchange rate for these transactions as a result of dividing total amount of all earlier transactions in the foreign currency by total amount of all earlier transactions in the accounting currency. The resulting exchange rate is then assigned to outgoing transaction.

How to calculate real exchange rate? ›

WHAT IS THE REAL EXCHANGE RATE? The real exchange rate (RER) between two currencies is the nominal exchange rate (e) multiplied by the ratio of prices between the two countries, P/P*.

How do you find the exchange rate? ›

If you don't know the exchange rate, you can use this formula: starting amount (base currency) / ending amount (foreign currency) = exchange rate. Use the currency conversion formulas mentioned earlier to calculate how much you'd get for your currency if you were trading in the forex market.

How do you manually calculate exchange? ›

If you don't know the exchange rate, you can use the following simple currency conversion calculation to find it: take your starting amount (original currency) and divide it by ending amount (new currency) = exchange rate.

How do exchange rates work for dummies? ›

The exchange rate gives the relative value of one currency against another currency. An exchange rate GBP/USD of two, for example, indicates that two dollars will buy one pound. The U.S. dollar is the most commonly used reference currency, which means other currencies are usually quoted against the U.S. dollar.

What is the formula for conversions? ›

Conversion Rate = Total number of conversions / Total number of unique visitors * 100. Conversion Rate = Total number of conversions / Total number of leads * 100.

How do you convert dollars to another currency? ›

Contact a bank or credit union to make sure it has the currency or will accept foreign currency, and check what the fees are. Find exchange rates through your bank, credit union or websites such as xe.com. Check the bank's exchange rate to make sure it's fair. Arrange for pickup or delivery.

How is the exchange rate determined? ›

Exchange rates are ultimately determined in global foreign exchange markets by the supply and demand of currencies. Economic factors like inflation, interest rates, and geopolitical events influence these market forces. This article explains the key factors that influence exchange rates.

What is the formula for the effective exchange rate? ›

REER = (NEER * CPI Domestic) / (CPI Foreign)

NEER signifies Nominal Effective Exchange Rate. CPI Domestic refers to the Consumer Price Index of the domestic nation. CPI Foreign represents the Consumer Price Index of the foreign country/countries in the currency basket.

How to write exchange rate? ›

An exchange rate is commonly quoted using an acronym for the national currency it represents. USD represents the U.S. dollar. EUR represents the euro. It would be EUR/USD if you were quoting the currency pair for the dollar and the euro.

How do you calculate exchange rate in math? ›

So, let's say you want to know the pound to euro exchange rate; the exchange rate for turning British Pounds (GBP) into Euros (EUR). The formula becomes: The exchange rate (GBP to EUR) = the amount in GBP ÷ the amount in EUR.

What are the methods of calculating exchange rate? ›

  • 1 Multiplier Method. The multiplier method (Y) multiplies the foreign amount by the exchange rate to calculate the domestic amount. ...
  • 2 Divisor Method. The divisor method (Z) divides the foreign amount by the exchange rate to calculate the domestic amount. ...
  • 3 No Inverse Method.

What is the normal exchange rate formula? ›

Nominal Effective Exchange Rate (NEER) is determined by the formula: NEER = e * Pd / Pf, where 'e' is bilateral nominal exchange rate, 'Pd' is the price level in the domestic country, and 'Pf' is the price level in the foreign country.

How do you calculate currency exchange rate in math? ›

So, let's say you want to know the pound to euro exchange rate; the exchange rate for turning British Pounds (GBP) into Euros (EUR). The formula becomes: The exchange rate (GBP to EUR) = the amount in GBP ÷ the amount in EUR.

What is the formula for exchange rate in spreadsheet? ›

To find the current rate, simply use the formula: =GOOGLEFINANCE(“CURRENCY:SourceCurrencyTargetCurrency”), replacing SourceCurrency and TargetCurrency with the relevant currency codes. For example, if you want to convert 100 USD to EUR, you'd enter =100 * GOOGLEFINANCE(“CURRENCY:USDEUR”) in a cell.

How do I convert CAD to USD manually? ›

The other option is to do the calculation manually using a simple mathematical formula. However, in order to do this, you need to know the current exchange rate. At the time of writing, $1 CAD is worth $0.76 USD. Once you know that information, multiply the amount you have in CAD by the current exchange rate.

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