Cross Exchange Rate Calculator

| Added in Personal Finance

What is Cross Exchange Rate and Why Should You Care?

Have you ever wondered how you can determine the exchange rate between two currencies without directly trading them? Well, let me introduce you to the concept of the Cross Exchange Rate! It's like having a middleman who helps you figure out how two currencies relate to each other using a third currency.

Why is this important?

Knowing the Cross Exchange Rate is essential for anyone who deals in multiple currencies, such as investors, travelers, and businesses. Imagine you want to know how many Euros you can get for your Yen, but no one directly trades Yen for Euros. By knowing the rates of these currencies against the US Dollar, you can determine their own exchange rate.

How to Calculate Cross Exchange Rate

Calculating the Cross Exchange Rate can be as easy as pie. Here's the formula you need to use:

[\text{Cross Exchange Rate (Currency A to Currency B)} = \frac{\text{Exchange Rate (Currency A to Currency C)}}{\text{Exchange Rate (Currency B to Currency C)}}]

Where:

  • Cross Exchange Rate (Currency A to Currency B) is what you're trying to find
  • Exchange Rate (Currency A to Currency C) is the rate of Currency A against Currency C
  • Exchange Rate (Currency B to Currency C) is the rate of Currency B against Currency C

Step-by-Step Guide

  1. Determine the Exchange Rate between Currency A and Currency C: Use any reliable source or tool to get this rate
  2. Determine the Exchange Rate between Currency B and Currency C: Use the same source or tool as in step 1
  3. Calculate the Cross Exchange Rate (A:B): Plug the values into the formula above

Calculation Example

Let's put this into action. Imagine you want to find out the exchange rate between the Australian Dollar (AUD) and the British Pound (GBP) using the exchange rate against the Canadian Dollar (CAD).

Here are the rates you have:

  • AUD to CAD is 0.95
  • GBP to CAD is 1.70

To find how many AUD you can get for one GBP:

[\text{AUD to GBP} = \frac{\text{AUD to CAD}}{\text{GBP to CAD}}]

[\text{AUD to GBP} = \frac{0.95}{1.70}]

[\text{AUD to GBP} \approx 0.559]

So, 1 GBP is approximately 0.559 AUD.

Currency Pair Exchange Rate
AUD to CAD 0.95
GBP to CAD 1.70
AUD to GBP 0.559

Why Cross Exchange Rates Matter

Cross exchange rates are not just limited to currencies. They're also used for various goods and services, aiding in finding fair market values. This method helps in getting an accurate value when direct comparisons are tricky.

This method is like adding a secret weapon to your financial toolkit. Whether you're a globetrotter, a savvy investor, or someone dealing with international clients, knowing how to calculate and use cross exchange rates can save you time and money.

Frequently Asked Questions

A cross exchange rate is the comparison of two currencies using a third common currency. It allows you to determine the exchange rate between two currencies that may not be directly traded against each other.

Cross exchange rates are useful for investors, travelers, and businesses dealing in multiple currencies. They help find fair exchange values when direct trading between two currencies is not available or practical.

The US Dollar (USD) is commonly used as the intermediary currency since most currency pairs are quoted against it. However, you can use any currency that both target currencies are quoted against.