WAEC WAEC Nigeria General Mathematics

Revision Notes

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(Ratio, Proportion and Rates)

Foreign Exchange Rates

Understanding Foreign Exchange Rates

What Are Foreign Exchange Rates?

Foreign exchange rates are the rates at which one currency can be exchanged for another. They are essential for international trade and finance.

For example, if you are traveling from Nigeria to the USA, you need to exchange your Nigerian Naira (₦) for US Dollars ($).

How Are Exchange Rates Expressed?

  • Exchange rates are usually expressed as a pair, showing how much of one currency is needed to buy a unit of another currency.
  • For example, if the exchange rate is 1 USD = 450 NGN, it means 1 US Dollar can be exchanged for 450 Nigerian Naira.

Calculating Currency Exchange

To calculate how much money you will get when exchanging currencies, use the formula:

Amount in New Currency=Amount in Original Currency×Exchange Rate\text{Amount in New Currency} = \text{Amount in Original Currency} \times \text{Exchange Rate}

Worked Example

If you have ₦90,000 and the exchange rate is 1 USD = 450 NGN, how many US Dollars will you get?

Factors Affecting Exchange Rates

  • Inflation Rates: Countries with lower inflation rates see an appreciation in the value of their currency.
  • Interest Rates: Higher interest rates offer lenders a higher return relative to other countries, attracting foreign capital and causing the exchange rate to rise.
  • Economic Stability: Countries with less risk for political and economic instability are more attractive to foreign investors.

Examples

Example 1: Converting USD to NGN

Problem: Convert $300 to Nigerian Naira if the exchange rate is 1 USD = 450 NGN.

Solution:

  • Amount in NGN=300×450=135,000 NGN\text{Amount in NGN} = 300 \times 450 = 135,000 \text{ NGN}

Tuity Tip

Hover me!

Tuity Tip: Always check the latest exchange rates before making any currency conversion, as they can fluctuate frequently.

Example 2: Converting NGN to USD

Problem: Convert ₦225,000 to US Dollars if the exchange rate is 1 USD = 450 NGN.

Solution:

  • Amount in USD=225,000450=500 USD\text{Amount in USD} = \frac{225,000}{450} = 500 \text{ USD}

Tuity Tip

Hover me!

Tuity Tip: Be aware of any transaction fees that might apply when exchanging currencies, as these can affect the total amount you receive.

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