Lesson Summary: Exchange rates (article) | Khan Academy (2024)

In this lesson summary review and remind yourself of the key terms and calculations related to exchange rates.

Lesson summary

If someone from Hamsterville came up to you and tried to buy an old book from you, and tried to pay you in their currency — the Hamsterville snark (SN) — you’d tell them “no thanks!”

Why? Because the Hamsterville snark is worthless to you since you can’t buy anything with it in your country. Instead, you want to be paid in your own currency. That means that someone from Hamsterville would need to exchange their currency for the currency used in your country.

The exchange rate of a currency is how much of one currency can be bought for each unit of another currency. A currency appreciates if it takes more of another currency to buy it, and depreciates if it takes less of another currency to buy it.

Key terms

Key termDefinition
exchange ratethe price of one currency in terms of another currency; for example, if the exchange rate for the euro (€) is 132 yen (¥), that means that each Euro that is purchased will cost 132 yen.
appreciatewhen a currency becomes more valuable relative to another currency; a currency appreciates when you need more of another currency to buy a single unit of a currency.
depreciatewhen the value of a currency decreases relative to another currency; a currency depreciates when you need less of another currency to buy a single unit of a currency.
floating exchange rateswhen the exchange rates of currencies are determined in free markets by the interaction of supply and demand

Key takeaways

The exchange rate is the price of one currency in terms of the other

Currencies are traded in the foreign exchange market. Like any other market, when something is exchanged there is a price. In the foreign exchange market, a currency is being bought and sold, and the price of that currency is given in some other currency. That price is expressed as an exchange rate.

For example, in the market for the Hamsterville snark, the exchange rate of the snark to the U.S. dollar (US$) is US$5 per snark. That means in order to buy a single snark, someone from the United States would need to pay for it with US$5.

On the other hand, someone from Hamsterville who wants dollars would buy those dollars with snarks. So, the exchange rate of the dollar is the inverse of the exchange rate of the snark:

Exchange rate for snark=$5per1SNExchange rate for dollar=1SNper$5

Sophie is a reporter for the Hamsterville Courier News and is preparing an article on the exchange rates for three of Hamsterville’s primary trading partners. Unfortunately, she spilled her lime smoothie on her notes and some of the entries in the table she created are missing. Help her out by completing the missing entries in the table below:

Hamsterville snark (SN)Galactic credits (GC)Canadian dollar (CAD$)
1 Hamsterville snark (SN) is exchanged for1102
1 Galactic credit (GC) is exchanged for1.2
1 Canadian dollar (CAD$) is exchanged for1

Solution:Remember that the exchange rates of any two currencies are inverses of each other. So, if the exchange rate for the Hamsterville snark (SN) is:

Exchange rate of1SN=10GD1SNThen the inverse of that exchange rate is the exchange rate for the galactic credit (GC):

Exchange rate of theGC=1SN10GC

Hamsterville snark (SN)Galactic credits (GC)Canadian dollar (CAD$)
1 Hamsterville snark (SN) is exchanged for1102
1 Galactic credit (GC) is exchanged for.11.2
1 Canadian dollar (CAD$) is exchanged for0.551

If a currency appreciates it is more valuable; if a currency depreciates it is less valuable

When an exchange rate changes, the value of one currency will go up while the value of the other currency will go down. When the value of a currency increases, it is said to have appreciated. On the other hand, when the value of a currency decreases, it is said to have depreciated.

For example, if it now takes USD$10 to buy a single Hamsterville snark instead of $5, the snark has appreciated and its value has increased. If prices in the United States haven’t changed, this is great news for Hamstervillians! Now the snark can buy more goods and services from the United States.

But, this is bad news for Americans who want to buy Hamsterville’s goods and services. Each U.S. dollar now buys only 0.1SN instead of 0.2SN as it did before. The dollar has depreciated against the snark and everything from Hamsterville just got a lot more expensive.

Key equations

Exchange rates

The exchange rate of a currency is expressed as the units of another currency needed to buy a single unit of the currency. For example, the exchange rate for currency A is given below:

Exchange rateA=#of units of currencyBunit of currencyA

Calculating the cost of something with exchange rates

To find the cost of something in the value of another currency, divide that cost by the exchange rate. For example, it takes 300 galactic credits (GC) to buy a smoothie on Tatooine. If the exchange rate means that CAD$1 buys 5GC, then the cost of a Tatooine smoothie to a Canadian tourist is:

cost of a good in CAD$=cost of good in GCcost of a galactic credit in CAD$=300CAD$5=$60

Therefore a Tatooine smoothie costs CAD$60 to a Canadian.

Common misperceptions

  • We are used to thinking about buying things with a currency, so many new learners are confused about what the price should be in the market for a currency. But the price of an orange is never given in oranges; it’s given in some other currency. Just like an orange, a dollar can’t be bought with itself, but instead, it needs to be bought with some other currency.

  • A common misperception is that a strong currency is always what is best for a country. On the one hand, if a currency appreciates, all of its imported goods get a lot cheaper. If a country tends to import a lot more goods than they export, then an appreciated currency might be desirable. But on the other hand, if a country relies heavily on exports, an appreciating currency isn’t such a great thing. When a currency appreciates, the exports from a country that use that currency will decrease because all of those goods are more expensive to countries other currencies.

Questions for review

The Ghanaian cedi currently trades for 20 Icelandic kroné.

  1. What is the exchange rate of the kroné? What is the exchange rate for the cedi? SHOW YOUR WORK.
  2. If the trading price changes to 25 kroné per cedi, what has happened to:

(a) the kroné? Explain.

(b) the cedi? Explain.

  1. If the cost of a fermented shark sandwich in Iceland is 1500 kroné, what is its cost in cedi to a tourist from Ghana based on a trading price of 1 cedi for 20 kroné? Show your work.

You bet!

  1. éééExchange rate of the kroné=1cedi20kroné=0.05cedi per kroné

Remember that exchange rates are always expressed as the amount needed to buy a single unit of the currency described.

  1. a.

éExchange rate of the cedi=20kroné per cedi

If the trading price changes to 1 cedi for 25 kroneThe kroné has depreciated. A single cedi can now buy more kroné, so the kroné is cheaper.

b. The cedi has appreciated. A single cedi can buy more of the other currency (the kroné), so the cedi is more valuable.

  1. é1500kroné20cedi=75cedi

You need 75 cedi to buy a shark sandwich.

Lesson Summary: Exchange rates (article) | Khan Academy (2024)

FAQs

What is the summary of exchange rate? ›

What is an Exchange Rate? An exchange rate is the rate at which one currency can be exchanged for another between nations or economic zones. It is used to determine the value of various currencies in relation to each other and is important in determining trade and capital flow dynamics.

How do you solve exchange rate questions? ›

In order to convert currencies using exchange rates:
  1. Write down the exchange rate and the other information given. ...
  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 lesson of exchange rate? ›

The exchange rate of a currency is how much of one currency can be bought for each unit of another currency. A currency appreciates if it takes more of another currency to buy it, and depreciates if it takes less of another currency to buy it.

How do foreign exchange rates work? ›

Key Takeaways

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

What is an exchange rate your answer? ›

An exchange rate is a relative price of one currency expressed in terms of another currency (or group of currencies). For economies like Australia that actively engage in international trade, the exchange rate is an important economic variable.

What does the exchange rate tell us about the economy? ›

Aside from factors such as interest rates and inflation, the currency exchange rate is one of the most important determinants of a country's relative level of economic health. A higher-valued currency makes a country's imports less expensive and its exports more expensive in foreign markets.

How do you solve exchange rates? ›

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 math behind 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.

What is a simple formula to understand exchange rate? ›

Calculate an FX rate using this simple formula: Your starting figure (in your local currency) divided by the final number (in the new foreign currency) = the exchange rate.

How do you understand real exchange rates? ›

The real exchange rate (RER) between two currencies is the product of the nominal exchange rate (the dollar cost of a euro, for example) and the ratio of prices between the two countries.

What does exchange teach you? ›

An exchange programme will broaden your world perspective

You will be living in a different country, with a different language, different customs, and a whole new environment. This huge change will help you understand the very diverse lives that people live, and that there is huge potential to learn from the contrasts.

Do exchange rates change daily? ›

Foreign exchange rates are constantly changing. We update our rates at least once every business day, based on current market conditions.

Which currency has the highest value? ›

RankCurrencyValue in USD
1Kuwaiti Dinar3.24
2Bahraini Dinar2.64
3Omani Rial2.59
4Jordanian Dinar1.41
6 more rows
2 days ago

How is the exchange rate determined? ›

The foreign exchange rate is determined by floating and pegged (fixed) rates. The floating rate is the one that is determined by the demand and supply. The fixed foreign exchange rate is determined by the central government of the country.

What is the best way for exchange rate? ›

Travel agents often offer more competitive rates. And the Post Office is worth checking. But you are almost certain to get a better deal if you shop around online through companies such as Travelex and Moneycorp, and pick up the foreign currency at an airport or ferry port.

What is the effective exchange rate in simple words? ›

The effective exchange rate is an index that describes the strength of a currency relative to a basket of other currencies. Typically it is calculated using geometric weighting. It can be computed using the USD as a numeraire.

What is the exchange rate short for? ›

The real exchange rate (RER) between two currencies is the product of the nominal exchange rate (the dollar cost of a euro, for example) and the ratio of prices between the two countries.

What is the significance of the exchange rate? ›

Movements in the exchange rate influence the decisions of individuals, businesses and the government. Collectively, this affects economic activity, inflation and the balance of payments. There are different ways in which exchange rates are measured.

How do you interpret real exchange rates? ›

The real exchange rate is the current price businesses and consumers will pay to buy a foreign product using their home currencies. For example, if the current U.S. exchange rate between the U.S. and Britain was $138 U.S. dollars for one pound, an American consumer would need $1.38 to buy one pound worth of goods.

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