How to Calculate an Exchange Rate (2024)

An exchange rate is how much it costs to exchange one currency for another. Exchange rates fluctuate constantly throughout the week as currencies are actively traded. Thispushes the price up and down, similar to other assets such as gold or stocks.

The market price of a currency—how many U.S. dollars it takes to buy a Canadian dollar for example—is different than the rate you will 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 market price as compensation for its currency exchange service.
  • You can shop around for the most attractive exchange rate available.
  • Currency exchange rates change throughout the day.

Finding Market 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. To buyBritish Pounds (GBP), another currency must be used to buy it. Whatever currency is 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 (foreign exchange) markets can be found through any of the major forex brokers.

Reading an Exchange Rate

If the USD/CAD currency pair is 1.33, that means it costs 1.33 Canadian dollars to get 1 U.S. dollar. In USD/CAD, the first currency listed (USD) always stands for one unit of that currency; the exchange rate shows how much of the second currency (CAD) is needed to purchase that one unit of the first (USD).

This rate tells you how much it costs to buy one U.S. dollar using Canadian dollars. 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. In this instance, the position of the currencies has switched.

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 Swiss Franc (USD/CHF), the Australian Dollar (USD/AUD), the New Zealand Dollar (USD/NZD), and the Canadian dollar (USD/CAD).

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

Conversion Spreads

When you go to the bank to convert currencies, you most likely won't get the market price that traders get. The bank or currency exchange house will markup the price so they make a profit. Credit cards and payment service providers such as PayPal will 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 they charge is the bank's profit. To calculate the percentage discrepancy, take the difference between the two exchange rates, and divide it by the market exchange rate:

((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 the section 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

Banks and currency exchangescompensatethemselves for this service. The bank gives you cash,whereas traders in the market do not deal in cash. In order to get cash, wire fees and processing orwithdrawalfees would be applied to aforexaccount in case the investor needs the money physically.

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.

If you are converting one currency to another, shop around for an exchange rate that is closer to the market exchange rate; it can save you money.Some banks have ATM network alliances worldwide, offering customers a more favorable exchange rate when they withdraw funds from allied banks.

Calculate Your Requirements

Need a foreign currency? Use exchange rates to determine how much foreign currency you want, and how much of your local currency you'll need to buy it.

If 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 an exchange might chargeyou 1.146 or more.

Assume you have $1,000 USD to buy Euros with. Divide $1,000 by 1.146 (what a bank may charge) to get 872.60 euros. That is how many Euros you get for your $1,000. Since Euros are more expensive, we know we have to divide, so that we end up with fewer units of EUR than units of USD.

Now assume you want 1,500 euros, and want to know what it costs in USD. Multiply 1,500 by 1.146 to get 1,719 USD. Since we know Euros are more expensive, one euro will cost more than one US dollar, that is why we multiply in this case.

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 they are being traded, 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 how they expect the values to go up or down, forex traders exchange large amounts of one currency for another based on which they think will have the highest value due to global conditions.

The Bottom Line

Exchange rates always apply to the cost of one currency relative to another. The order in which the pair are listed matters. Remember the first currency is always equal to one unit and the second currency is how much of that second currency it takes to buy one unit of the first currency. From there you can calculate your conversion requirements.

Banks will markup the price of currencies to compensate themselves for the service. Shopping around may save you some 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 do you calculate exchange rate easily? ›

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.

What is the formula for calculating exchange? ›

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.

How do you calculate specific exchange rate? ›

Know the country's exchange rate before you travel – these are usually posted online and at banks, airports and currency exchange shops. If you don't know the exchange rate, you can use this formula: starting amount (base currency) / ending amount (foreign currency) = exchange rate.

How do you calculate effective exchange rate? ›

REER is determined by taking the average of the bilateral exchange rates between one nation and its trading partners and then weighting it to take into account the trade allocation of each partner.

How do you solve exchange rate questions? ›

How to work out exchange rates
  1. Write down the exchange rate and the other information given. Keep the same currencies in line.
  2. Highlight the rate.
  3. Decide whether to multiply or divide by the rate. ...
  4. Multiply or divide the given currency by the exchange rate.
  5. State your final answer with the correct currency symbol.

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.

What is the equation of exchange formula? ›

Fisher's equation of exchange is MV=PT, where M = money supply, V = velocity of money, P = price level, and T = transactions. When T cannot be obtained, it is often substituted with Y, which is national income (nominal GDP).

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 one pound will buy two U.S. dollars. The U.S. dollar is the most commonly used reference currency, which means other currencies are usually quoted against the U.S. dollar.

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.

What is the exchange rate method? ›

An exchange rate is the rate at which one currency can be exchanged for another currency. Most exchange rates are defined as floating. They'll rise or fall based on supply and demand in the market. Some exchange rates are pegged or fixed to the value of a specific country's currency.

How to write exchange rate? ›

There are two ways to express an exchange rate between two currencies (e.g., between the U.S. dollar [$] and the British pound [£]). One can either write $/£ or £/$. These are reciprocals of each other. Thus if E is the $/£ exchange rate and V is the £/$ exchange rate, then E = 1/V.

Do you multiply or divide to convert currency? ›

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 do you find a good exchange rate? ›

Our top foreign exchange rate tips
  1. Compare before you buy. We all know it's sensible to shop around for things such as car, home and travel insurance to get the best deal. ...
  2. It's not always better to exchange before you fly. ...
  3. You may not need to take cash. ...
  4. Look for a buy-back guarantee. ...
  5. Don't leave it until the last minute.
Jun 11, 2024

What is the formula for return on the exchange rate? ›

let say exchange rate as ER. the take natural log, as ln(ER)for the time period t. then return is defined as rt= ln(Er)t-ln(ER)t-1.

How do you calculate exchange rate appreciation? ›

Appreciation formula example
  1. Find the dollar amount. Final value - Initial value = Change in value in dollars$135,000 - $115,000 = $20,000.
  2. Find the percentage. (Change in value / Initial investment) 100 = appreciation percentage($20,000 / $135,000) 100 =(0.15) 100 =15%
  3. Evaluate the information.
Mar 10, 2023

Do you multiply or divide when converting currency? ›

To convert from the base currency, we multiply by the exchange rate. Just like multiplying to apply a commodity price. Indeed, our base currency can be viewed as the commodity in the quote. Say we need to convert €8m into dollars, by applying the exchange rate EUR/USD 1.25.

What is the formula for the 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 do you convert dollars to pounds manually? ›

If you have dollars and want to convert to pounds, you can multiply the dollars by the USD → GBP conversion rate, OR divide it by the GBP → USD conversion rate.

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