Modelling foreign exchange gains and losses | F1F9 blog (2024)

If any financial modelling topic requires clear thinking then it is foreign exchange (“forex”). That’s because it calls upon domain knowledge from at least three different areas. You need to have a working understanding of accounting (noting that accounting standards in in respect of forex are far from simple), a passing knowledge of treasury and a dash of economics. Good financial modelling techniques are taken as read.

I teach how to model foreign exchange transactions frequently and it’s often a tough call. That’s because there’s a lot of detailed background information to go through. A few years ago, I came up with “six steps to foreign exchange happiness” – my best attempt to build up the knowledge in layers. And that’s what I’d like to share with you now.

1. Decide on a foreign exchange quotation convention – and be clear in the units that you display.

There isan ambiguity instatingan exchange rate as “GBP/USD” (for example). Does that mean a variable number of USD for every one GBP? Or is it the other wayround: variable GBP for one USD?

In F1F9, we use the base / variable convention: the base currency is on the left; the variablecurrencyisontheright.That iswhatyou’llfindifyousearchforGBP/USD”: avariablenumber ofUSDfor everyGBP.

Modelling foreign exchange gains and losses | F1F9 blog (1)

Which means that the units in your model should be “USD” or even “USD per GBP”.

The 3-letter currency codes that I am using are themselves the subject of an international standard (ISO 4217). Given the work that must have been done to get global agreement, it seems sensible to take advantage of it.


2. Agree on the types of currency that you are working with.

There are three types of currency that a financial modeller needs to find:

Transactional currencies: there can be numerous transactional currencies. For example, currencies in which revenue is received (GBP, USD, AED and EUR for F1F9). And other transactions may happen on the cost side: INR for F1F9. That is 5 separate transactional currencies that would need to be modelled in any forecasts relating to F1F9.

Functional currency: there is only one functional currency – and it is up to you what that currency should be. All transactional currencies need to be converted into that single functional currency – so choose wisely. Most financial modellers work with the most used transactional currency and adopt that as their functional currency. Why? Because that results in the least work.

Presentational currencies: organisations may choose to present their forecasts in different currencies – so there can be many presentational currencies. A financial modeller wishing to minimise work can choose a presentational currency that matches the functional currency. That is often sufficient when the primary concern is, for example, testing a project’s ability to service debt against worsening exchange rates.

Important note: there are differences in how accounting standards recommend you convert from:

– transactional currencies to functional currencies; and
– functional currencies to presentational currencies

My advice to financial modellers: don’t try to bypass the functional currency, however tempting it might appear.


3. Agree on the timing of flows.

When converting from transactional currencies to a single functional currency, accounting standards start with the balance sheet. Put simply, the guidance is to convert monetary balances (debt, working capital) using a closing rate (the current – or spot – rate applicable at the date of the balance sheet).

When choosing rates to convert flows, accounting standards offer other options – including an average rate (calculated over the period of the income statement, for example). While this in some cases gives a more exact answer, that accuracy is not always significant. It can also generate plenty of modelling work when it comes to calculating gains and losses arising.

If you can make the simplifying assumption that both flows and balances will be converted at a closing rate (matching the date of the balance sheet), then that will simplify the modelling.


4. Convert the balances.

Take the forecast balances expressed in their transactional currencies and convert them to equivalent balances expressed in the functional currency. That will require a forecast of future spot exchange rates.

The four way equivalence model is a good place to start if you would like to better understand the relationship between interest rates, inflation rates and foreign exchange rates. Check out the purchasing power parity theory and the international Fisher effect.

Modelling foreign exchange gains and losses | F1F9 blog (2)


5. Convert the flows.

Using the same set of forecast closing rates, calculate the flows (expressed in their equivalent functional currency). Remember: your assumption is that flows and balances are converted using the same closing rate (assuming flows happen on the same date that balance sheets are prepared).

That is something that’s quite realistic for, say, senior debt (when debt service is paid according to a fixed schedule and the next period’s interest is calculated from the date of the last debt service). It is less realistic for working capital balances – but then again working capital tends to be far less sensitive when running “what if?” analysis. There is a balance to be struck between accuracy and minimising unnecessary modelling work.

Modelling foreign exchange gains and losses | F1F9 blog (3)


6. Calculate the gain / loss arising from foreign exchange.

Gains or losses that have yet to have an impact on cash flows (known as “unrealised gains or losses”) arise when putting balance sheets together. That’s because exchange rates will have changed between balance sheet dates. A year ago you may have owed 10m; now, because of worsening exchange rates, you owe 15m. That’s an unrealised loss of 5m that needs to be recognised in the income statement.

Note that the loss has arisen on a closing balance. Closing balances are made up of three things:

A beginning balance; plus

An upward flow; less

A downward flow

If you assume that the timing of flows is end of period (and many financial models make this simplifying assumption), then it is justifiable for you to apply a closing rate to both balances and flows. In turn, this leads to exchange rate movements on the flow becoming irrelevant when converting the closing balance.

And we can conclude that if closing rates are used, only changes in the beginning balance from one period to the next arising from movements in exchange rates will give rise to foreign exchange gains or losses in your financial model. Gains or losses may be calculated by converting the beginning balance at the closing rate and deducting the same beginning balance converted at the prior period’s closing rate.

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Forex is just one of many topics we’ve incorporated into custom courses for in-house clients. If you would like to learn more about how we can tailor training for your team you can watch our short video and book a call with me to talk through your requirements.

Modelling foreign exchange gains and losses | F1F9 blog (2024)

FAQs

How to calculate foreign exchange gains and losses? ›

The actual calculation of profit and loss in a position is quite straightforward. To calculate the P&L of a position, what you need is the position size and the number of pips the price has moved. The actual profit or loss will be equal to the position size multiplied by the pip movement.

How to book foreign exchange gain or loss? ›

When you sell products or services to customers in a foreign currency, the value of that currency changes based on the exchange rate. If the value of the currency goes up or down after you invoice a customer but before you collect payment, then you have made a foreign currency gain or loss on that invoice.

How are foreign exchange gains and losses reported? ›

The seller calculates the gain or loss that would have been sustained if the customer paid the invoice at the end of the accounting period. For example, if a seller sends an invoice worth €1,000, the invoice will be valued at $1,100 as at the invoice date.

Is FX gain loss included in Ebitda? ›

If FX is a part of the main business, the company deals in, then such is to be included in EBITDA whereas if it is a mere exchange gain/loss occurring but not forming the part of main business then such is not to be considered while calculating EBITDA.

How to treat FX in cash flow statement? ›

Specific requirements for the presentation of foreign currency activities on the statement of cash flows are as follows: Foreign currency transaction gains and losses reported on the income statement should be reflected as a reconciling item from net income to cash flows from operating activities.

What is the accounting entry for foreign exchange loss? ›

To record the foreign exchange transaction loss, the company would debit cash for $95, debit foreign exchange loss for $5 (expense), and then credit accounts receivable for $100. If you are studying for the CPA exam, then sign up for a free trial to have full access to the Universal CPA platform for 7 days here.

Are foreign exchange gains and losses taxable? ›

All profits and losses, whether realised or unrealised and whether of a capital or revenue nature, relating to any foreign exchange transactions entered into by the taxpayer in the course of his trade over the period of the transaction are taxed.

How to test foreign exchange gain or loss audit? ›

The common audit procedure for foreign exchange gains & losses includes the reviewing of the foreign transaction records, verifying the rate of exchanges used, assessment of compliance with the related regulation, testing of the internal controls and impact of the financial statements.

Are forex losses tax deductible? ›

Foreign exchange gains and losses are taxable and deductible respectively if the gains and losses are: arising from revenue transactions; realised; arising from a trade.

What is the difference between realized and unrealized foreign exchange gain loss? ›

Realized gains and losses are profits or losses arising from completed transactions. Unrealized revaluation gains and losses refer to profits or losses that have occurred more commonly known as 'on paper', but the relevant closing out transactions have not been completed.

Are foreign currency gains and losses taxable as ordinary or capital? ›

Except as provided in regulations, a taxpayer may elect to treat any foreign currency gain or loss attributable to a forward contract, a futures contract, or option described in subsection (c)(1)(B)(iii) which is a capital asset in the hands of the taxpayer and which is not a part of a straddle (within the meaning of ...

How is foreign exchange calculated? ›

In a floating regime, exchange rates are generally determined by the market forces of supply and demand for foreign exchange. For many years, floating exchange rates have been the regime used by the world's major currencies – that is, the US dollar, the euro area's euro, the Japanese yen and the UK pound sterling.

How are foreign exchange gains and losses treated in income tax? ›

Foreign exchange gains and losses are taxable and deductible respectively if the gains and losses are: arising from revenue transactions; realised; arising from a trade.

Where do I report foreign exchange gain or loss on my tax return? ›

Reporting on Form 1040

They get reported on Schedule D, "Capital Gains and Losses," as well as Form 8949, "Sales and Other Dispositions of Capital Assets." To complete these forms, record the sale price as the total amount of dollars you received. Your cost basis is the amount in dollars you originally paid.

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