# Activity: Currency Conversion

In this activity, you will learn how to convert money between different currencies using an exchange rate table and a calculator.

You will need

• a calculator (or use this calculator)
• A current list of exchange rates (look up on the internet)

## Vacation!

The Brown family are going to visit many different countries on their vacation.

From their home in New York they travel to Toronto (Canada), London (England), Rome (Italy), New Delhi (India), Tokyo (Japan) and Sydney (Australia), before returning home across the Pacific.

The route is shown on the following map:

Mr. Brown uses his credit card to change money from USD (\$US) to the local currency in each of the locations they visit.

Because currencies change all the time, the amount of money Mr. Brown receives in each local currency will change from day to day. But the following table (old data) will give you an idea of how currencies are converted:

 Currency Code USD/1 unit Units/ 1 USD Australian Dollar AUD 0.9612 1.0405 Canadian Dollar CAD 0.9788 1.0219 Euro EUR 1.3065 0.7655 British Pound GBP 1.5553 0.6431 Indian Rupee INR 0.02174 46.1225 Japanese Yen JPY 0.011916 83.9337

You will notice that there are two sets of figures for each country – the USD/ 1 unit and the Units/ 1 USD. This is because you get one rate for changing from \$US to the foreign currency and a different rate for changing back from the foreign currency to the \$US. This is how the banks make their money.

Note The banks also make a commission on every transaction, so they make even more money out of us! But to keep things simple we will ignore that.

So which figure should you use?

The USD/ 1 unit figure tells us how to convert one unit of the foreign currency to the US currency. The Units/ 1 USD figure tells us how to convert one unit of the US currency to the foreign currency.

Find today's current exchange rates! Use the internet to find them and fill them in:

 Currency Code USD/1 unit Units/ 1 USD Australian Dollar AUD Canadian Dollar CAD Euro EUR British Pound GBP Indian Rupee INR Japanese Yen JPY

## Let's look at an example

Mr. Brown converts USD500 to Canadian dollars. How much does he receive?

We are converting to Canadian dollars, so we use the second row of the table We are converting from the US currency to the Canadian currency, so we should use the Units/ 1 USD column:

 Currency Code USD/1 unit Units/ 1 USD Australian Dollar AUD 0.9612 1.0405 Canadian Dollar CAD 0.9788 1.0219 Euro EUR 1.3065 0.7655 British Pound GBP 1.5553 0.6431 Indian Rupee INR 0.02174 46.1225 Japanese Yen JPY 0.011916 83.9337

So he receives USD500 × 1.0219 = CAD510.95

How much will Mr. Brown receive if he changes

• USD1000 to British pounds?
• USD650 to Euro?
• USD400 to Indian Rupees?

## Another example

When the Brown family arrives back in the US from Australia, Mr. Brown finds that he has AUD220 left over and wants to change it back into USD. How much does he receive?

We are converting from Australian dollars, so we use the first row of the table We are converting from the Australian currency to the US currency, so we should use the USD/ 1 unit column:

 Currency Code USD/1 unit Units/ 1 USD Australian Dollar AUD 0.9612 1.0405 Canadian Dollar CAD 0.9788 1.0219 Euro EUR 1.3065 0.7655 British Pound GBP 1.5553 0.6431 Indian Rupee INR 0.02174 46.1225 Japanese Yen JPY 0.011916 83.9337

So he receives AUD220 × 0.9612 = USD211.46