Financial Management · Hedging techniques for foreign currency risk

Exchange Rate Quotes and Forward Rate Calculations

Updated 11 October 2026 · Fact-checked

A currency quote gives two rates: the bank buys the base currency at the lower rate and sells it at the higher rate. A forward rate is the spot rate adjusted by a premium or discount. Add a premium, subtract a discount, and apply it to each side of the spread.

Understand Exchange Rate Quotes and Forward Rate Calculations

An exchange rate tells you how many units of one currency buy one unit of another. In a quote such as $/€ 1.1000 - 1.1200, the base currency is the one that is the 1 (here the euro) and the other is the quoted currency (the dollar).

Banks quote two rates, a bid and an offer. The difference is the spread, and it is the bank's profit. The key rule: the bank always gives you the worse deal. It buys the base currency from you at the lower rate and sells the base currency to you at the higher rate. Always think from the bank's side, then flip it to your side.

A forward rate is a rate fixed today for exchange on a set future date. The bank quotes it as the spot rate plus or minus a premium or discount, shown in the same units as the quoted currency, often in cents. If the base currency is at a premium, it is worth more in the future, so the forward rate is higher in terms of the quoted currency. You add a premium to the spot rate. If the base currency is at a discount, it is worth less in the future, so you subtract the discount. The rule is: add a premium, subtract a discount. It applies to a quote written as units of quoted currency per 1 unit of base currency. Check the quote convention in the question before you apply it.

In exam questions, a premium is usually quoted low-high (for example 0.40 - 0.50) and a discount high-low (for example 0.80 - 0.60). This is the usual exam convention, not a law of nature. Quoted this way, adding or subtracting normally keeps the forward spread in the right order. Always check that your final forward spread is still low-high, with the lower rate first.

Why does a company use a forward contract? It has a known foreign currency receipt or payment due later. The forward contract locks in the rate, so the home-currency amount is certain. The cost is that you cannot benefit if the rate moves in your favour, and the contract must be completed.

In the exam, the questions test two things: choosing the correct side of the spread, and applying the premium or discount in the right direction on both sides.

Key rules to remember

Bank buys base currency: Bank buys base at the lower rate (bid) of the quote; Use this when your company sells (receives) the base currency, for example an export receipt in the base currency.
Bank sells base currency: Bank sells base at the higher rate (offer) of the quote; Use this when your company buys (pays) the base currency, for example an import payment in the base currency.
Forward rate with a premium: Forward rate = Spot + premium (applied to each side of the spread); Premium means the base currency is worth more in the future, so the forward rate rises. In exams a premium is usually quoted low-high, for example '1.1000 - 1.1200 spot, 0.40 - 0.50 cents premium'. Add 0.0040 to the lower rate and 0.0050 to the higher rate. Then check the forward spread is still low-high.
Forward rate with a discount: Forward rate = Spot − discount (applied to each side of the spread); Discount means the base currency is worth less in the future, so the forward rate falls. In exams a discount is usually quoted high-low, for example 0.80 - 0.60 cents. Subtract 0.0080 from the lower rate and 0.0060 from the higher rate. Then check the forward spread is still low-high.
Converting amounts: Quoted currency amount = Base amount × rate; Base amount = Quoted amount ÷ rate; Multiply to go from base to quoted. Divide to go from quoted to base.

How to solve Exchange Rate Quotes and Forward Rate Calculations questions

Use this method for any question that asks for a spot or forward rate to settle a foreign currency transaction.

1Identify the base currency (the '1') and the quoted currency in the quote.
2Decide who is dealing: your company and the bank. Work out whether the bank is buying or selling the base currency.
3Pick the rate: the bank buys base at the lower rate and sells base at the higher rate.
4If a forward rate is needed, check the sign convention: 'prem' or 'pm' means add, 'dis' means subtract. Apply it to both sides of the spread.
5Check that the forward spread still has the lower number first and the higher number second. If not, you applied the adjustment the wrong way.
6Convert the amount: multiply base by rate or divide quoted by rate.
7State the result in the correct currency with a clear label, and say which rate you used.

Quickest way: Bank's side shortcut

When to use it: Use in Section A and Section B objective questions where time is short and you only need the single correct rate.

Underline the currency your company holds or needs, and say whether it is the base.
Ask: is the bank buying or selling that currency from me?
Bank buys base: lower rate. Bank sells base: higher rate.
If the currency you are exchanging is the quoted currency, the choice flips: you will divide, and the bank rate that is worse for you is the one that gives you fewer units.
Check by common sense: you should always receive less or pay more than the mid-rate.

Common mistakes in Exchange Rate Quotes and Forward Rate Calculations

Using the offer rate when the company receives base currency
Students think from their own side and choose the higher, apparently better, rate.
Fix: Always think from the bank's side first. If the company receives base currency from a customer, the bank buys it, so the lower rate applies.
Subtracting a premium instead of adding it
Students rely on a half-remembered mnemonic or mix the rule up with discounting, so the sign is applied from instinct.
Fix: Remember that a premium on the base currency means it is worth more in the future, so the forward rate rises. Add premiums, subtract discounts.
Applying the adjustment to only one side of the spread
Students adjust the rate they need and forget the other side, or they use a single figure for both.
Fix: Adjust both sides, then pick the one you need. This also lets you check that the spread is still in the right order.
Multiplying when you should divide
The direction of the quote is not checked, so the amount is converted the wrong way.
Fix: Base to quoted: multiply. Quoted to base: divide. Write the quote as '1 base = x quoted' before you calculate.
Mixing up cents and units in the premium
A premium of '0.50 cents' is entered as 0.50 instead of 0.0050.
Fix: Convert the premium into the same units as the spot quote before you adjust the spot rate. Cents are one hundredth of a unit.

Worked examples

Example 1

A US-based company receives €400,000 from a customer in three months. The bank quotes spot $/€ 1.1000 - 1.1200. The three-month forward premium is 0.40 - 0.50 cents ($0.0040 - $0.0050 per €1). Calculate the dollars received under a forward contract.

Show the solution

Base currency is the euro. The company receives euros, so the bank buys euros.
The bank buys the base at the lower side of the spread.
The euro is at a premium, so add it to both sides: 1.1000 + 0.0040 = 1.1040 and 1.1200 + 0.0050 = 1.1250.
The forward quote is 1.1040 - 1.1250. The lower rate is 1.1040.
Convert: €400,000 × 1.1040 = $441,600.

Answer: The company receives $441,600 under the forward contract.

Example 2

A company must pay €250,000 in three months. The bank quotes spot $/€ 1.2000 - 1.2100 and the three-month forward discount is 0.80 - 0.60 cents ($0.0080 - $0.0060 per €1). Calculate the dollar cost of a forward contract.

Show the solution

The company pays euros, so the bank sells euros. The bank sells base at the higher rate.
The euro is at a discount, so subtract it from both sides: 1.2000 − 0.0080 = 1.1920 and 1.2100 − 0.0060 = 1.2040.
The forward quote is 1.1920 - 1.2040. The higher rate is 1.2040.
Convert: €250,000 × 1.2040 = $301,000.

Answer: The dollar cost is $301,000.

Exam tips

In objective questions, the wrong rate is usually one of the answer options. Decide buy or sell from the bank's side before you look at the options.
Always apply a premium or discount to both sides of the spread and check the lower number still comes first.
In Section C, write down the rate you chose and the reason in one line. Method marks are available even if the arithmetic slips.
Check the units of the premium. Cents must be converted before you adjust the spot rate.
Keep four decimal places in the rate and round only the final money answer.

Practice questions from Hedging techniques for foreign currency risk

Exchange Rate Quotes and Forward Rate Calculations in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Exchange Rate Quotes and Forward Rate Calculations: frequently asked questions

Which spot rate do I use, bid or offer?

Think from the bank's side. The bank buys the base currency at the lower rate and sells it at the higher rate. So if your company receives the base currency, use the lower rate. If it pays the base currency, use the higher rate.

How do I calculate a forward rate with a premium or discount?

Apply the adjustment to both sides of the spot spread. Add a premium and subtract a discount, for a quote of quoted currency per 1 unit of base. Then choose the side you need using the bank-buys-low, bank-sells-high rule.

How can I tell if my forward rate is wrong?

The forward quote should still show the lower number first and the higher number second. If the order is reversed, you probably added when you should have subtracted, or the other way round.

Do I always multiply by the rate?

No. You multiply when converting from the base currency into the quoted currency. You divide when converting from the quoted currency back into the base. Write '1 base = x quoted' before calculating.