Question

Difficulty: MediumForeign Exchange Market, Systems, and Exchange Rate Determination

A Nigerian importer requires British Pounds (GBP\text{GBP}) to settle an international trade transaction. In the foreign exchange market, the exchange rate between the US Dollar (USD\text{USD}) and the Nigerian Naira (NGN\text{NGN}) is $1.00=NGN 750\$1.00 = \text{NGN } 750, while the exchange rate between the British Pound (GBP\text{GBP}) and the US Dollar (USD\text{USD}) is £1.00=$1.40£1.00 = \$1.40. What is the cross exchange rate of one British Pound (£1.00£1.00) in terms of Nigerian Naira (NGN\text{NGN})?

Answer: 1050 NGN

Answer

1050 NGN
The cross exchange rate determines the exchange rate between two currencies via a third currency. By multiplying the exchange value of 1 GBP in USD (1.401.40) by the exchange value of 1 USD in NGN (750750), we obtain £1.00=1.40×750=NGN 1050£1.00 = 1.40 \times 750 = \text{NGN } 1050.

Step-by-Step Solution

1
Identify the exchange rate relations against the common intermediate currency (US Dollar).
1.00 USD=NGN 7501.00 \text{ USD} = \text{NGN } 750 and £1.00 GBP=$1.40£1.00 \text{ GBP} = \$1.40
Both currency pairs are quoted relative to the US Dollar.
2
Multiply the GBP/USD rate by the USD/NGN rate to determine the cross rate.
£1.00 \text{ GBP} = 1.40 \times 750 = \text{NGN } 1050
Since each Pound is worth 1.40USDandeachUSDisworth750NGN,1GBPequals1.40 USD and each USD is worth 750 NGN, 1 GBP equals 1.40 \times 750$ NGN.

Key Concept

Cross Exchange Rate Determination
Estimated Time:1m 30s
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