Foreign exchange

In this article we’re going to be looking at Foreign Exchange. Around the world people use different currencies, so when we visit different countries it’s important to know how much our currency is worth in terms of that countries’ currency. In most examples of this article we shall assume that the local currency is British Pound Sterling (GBP)(£) which will be compared with a foreign currency

What is the exchange rate?

In finance, an exchange rate between two currencies is the rate at which one currency will be exchanged for another. Exchange rate is also usually reffered to as a foreign-exchange rate, forex rate, or FX rate.
Exchange rate is also regarded as the value of one country’s currency in terms of another currency. or example, an interbank exchange rate of 91 Japanese yen (JPY, ¥) to the United States dollar (US$) means that ¥91 will be exchanged for each US$1 or that US$1 will be exchanged for each ¥91.

Exchange rates are determined in the foreign exchange market, hich is open to a wide range of different types of buyers and sellers where currency trading is continuous: 24 hours a day except weekends. The spot exchange rate refers to the current exchange rate. The forward exchange rate refers to an exchange rate that is quoted and traded today but for delivery and payment on a specific future date.

The exchange rate will be given to you and tells you how much foreign currency you get for one pound. For example the exchange rate for Pounds Sterling is 1.28 Euros, this means that £1 = 1.28 Euros.

How do we use the exchange rate?

We use it to work out how much money we would have in a different currency:

Foreign Exchange Rate x Amount of British Currency = Amount of Foreign Currency

Exchange rate

Example: A woman is told that the exchange rate for Pounds Sterling is 1.28 Euros. If she has £400 which she would like to take to Europe how many Euros will she have?

Answer:

€1.28 = £1
1.28 × 400 = 512
£400 = € 512

Thus the woman has €512 for Europe.

Explanation:

We want to know how many Euros she can get for £400

£400 = € ?

To work this value out we use the formula:

Foreign Exchange Rate x Amount of British Currency = Amount of Foreign Currency

From the question we know that:

Exchange Rate = 1.28
Amount of British Currency = 400

Thus we sub into the formula:

1.28 × 400 = Amount of Foreign Currency

As 1.28 x 400 = 512 we know that the amount of foreign currency (in this case Euros) that the woman has is 512.

Example: Here is a table of exchange rates:

Place Exchange rate for Pounds Sterling
Europe 1.28 Euros
Japan 177.54 Japanese Yen
Russia 63.61 Russian Ruble
USA 1.62 US Dollars

Using this table of exchange rates work out how many dollars a man will get if he saves up £123 for his trip to the United States of America.

Answer:

$1.62 = £1
1.62 x 123 = 199.26
£123 = $199.26

Thus the man has $199.26 to take to the USA.

Explanation:

We want to know how many dollars he can get for £123

£123= $ ?

To work this value out we use the formula:

Exchange Rate × Amount of British Currency
= Amount of Foreign Currency

From the question we know that:

Exchange Rate = 1.62
Amount of British Currency = 123

Thus we sub into the formula:

1.62 x 123 = Amount of Foreign Currency

As 1.62 x 123 = 199.26 we know that the amount of foreign currency (in this case dollars) that the man has is 199.26.

Example: A man and a woman are going to Japan. The woman has saved £187.96 and the man has saved £133.40. If they put their money together, how much money will they be able to take to Japan? (You may use the table from the above Example.)

Answer:

¥177.54 = £1
177.54 x (187.96 + 133.40) = 57,054.2544

As we are dealing with currency we must write this to 2 d.p.
= ¥57,054.25

Thus the woman and the man have ¥57,054.25 to take to Japan.

Explanation:

We want to know how much yen they can get for £187.96 and £133.40

£(187.96 + 133.40) = ¥ ?

To work this value out we use the formula:

Exchange Rate x Amount of British Currency = Amount of Foreign Currency

From the question we know that:

Exchange Rate = 177.54
Amount of British Currency = (187.96 + 133.40)

Thus we sub into the formula:

177.54 × (187.96 + 133.40) = Amount of Foreign Currency

As 177.54 x (187.96 + 133.40) = 57,054.25 (2 d.p.) we know that the amount of foreign currency (in this case yen) that the man and the woman have is 57,054.25.

How else can we use the exchange rate?

We can also use it to work out how much British money we have if we change our foreign currency back:

Amount of Foreign Currency/Exchange Rate = Amount of British Currency
Example: A woman is told that the exchange rate for Pounds Sterling is 1.28 Euros, if she has €512 which she would like to take to back to the UK how many pounds will she have?

Answer:

€1.28 = £1
512/1.28 = 400
£400 = € 512

Thus the woman has £400 in the UK.

Explanation:

We want to know how many pounds she can get for €512

€ 512 = £ ?

To work this value out we use the formula:

Amount of Foreign Currency / Exchange Rate = Amount of British Currency

From the question we know that:

Exchange Rate = 1.28
Amount of foreign Currency = 512

Thus we sub into the formula:

512/1.28 = Amount of British Currency

As 512 / 1.28 = 400 we know that the amount of British currency that the woman has is 400.

Example: A man returns from the USA with 100 dollars – how many pounds will he have? (The exchange rate for Pounds Sterling is 1.62 dollars.)

Answer:

$1.62 = £1
100 / 1.62 = 61.73 (2 dp)
£61.73 = $100

Thus the man has £61.73 back in the UK.

Explanation:

We want to know how many pounds he can get for $100

$100 = £ ?

To work this value out we use the above formula:

Amount of Foreign Currency / Exchange Rate = Amount of British Currency

From the question we know that:

Exchange Rate = 1.62
Amount of foreign Currency = 100

Thus we sub into the formula:

100/1.62 = Amount of British Currency

As 100 / 1.62 = 61.73 we know that the amount of British currency that the man has is 61.73.

Example: A man and a woman want to go to Russia, the man has $100 saved and the woman has €512, if they pool their money together how much do they have for Russia? (Give your answer in Russian Ruble, where the exchange rate for Pounds is 63.61)

Answer:

From the above two questions we know that:

$100 = £61.73

…we also know that;

£400 = € 512

Thus they have

£61.73 + £400 = £461.73
63.61 = £1
63.61 x 461.73 = 29,370.65 (2dp)

Thus they have £29,370.65 to spend in Russia.

Explanation:
Explanation

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