What Is a Forward Contract?
A forward contract is a bilateral agreement to buy or sell an underlying asset at a specified future date for a price agreed today. The party agreeing to buy is long the forward; the party agreeing to sell is short. Most forwards are negotiated over the counter, which means their notional amount, maturity and settlement terms can be customized.
At inception, a standard forward is normally structured so that its market value is approximately zero. No large premium changes hands. The economic value develops later as the market price of the underlying moves relative to the agreed delivery price.
Long and Short Forward Payoffs
At maturity, the payoff of a forward contract depends on the difference between the market price of the underlying asset and the delivery price agreed when the contract was initiated. In the formulas below, \(S_T\) represents the spot price of the underlying asset at maturity, while \(K\) represents the delivery price specified in the forward contract.
The long position benefits when \(S_T\) is greater than \(K\). In other words, the buyer benefits when the asset can be purchased through the forward contract for less than its current market value.
For the long side, the payoff is:
\[
\text{Payoff}_{\text{Long Forward}} = S_T – K
\]
For the short side, the payoff is:
\[
\text{Payoff}_{\text{Short Forward}} = K – S_T
\]
The short position benefits when \(S_T\) is lower than \(K\), because the seller can deliver the asset at a price higher than its current market value.
The two payoffs are equal in magnitude and opposite in sign, so they sum to zero before transaction costs and counterparty effects. A forward contract therefore transfers price risk from one party to another.
Forward Pricing
For an asset with no income and assuming simple discrete compounding, the no-arbitrage forward price can be represented as:
\[
F_0 = S_0(1+r)^T
\]
where \(F_0\) is the forward price today, \(S_0\) is the spot price, \(r\) is the financing rate per period, and \(T\) is the number of periods. With continuous compounding, the equivalent expression is:
\[
F_0 = S_0 e^{rT}
\]
The intuition is straightforward: buying the asset today requires capital, so the forward price incorporates the financing cost of carrying the asset until delivery.
Income and Carry
If the underlying pays known income, that income reduces the fair forward price because the spot owner receives cash flows that the forward holder does not receive before maturity. Storage costs, convenience yield and foreign interest rates can also matter. This broader relationship is often described through the cost-of-carry framework.
Currency Forwards
Currency forwards are widely used by companies and investors to hedge future foreign-currency cash flows. The forward exchange rate reflects the spot exchange rate and the interest-rate differential between the two currencies. A European investor expecting a future USD receipt can sell USD forward against EUR to reduce uncertainty about the euro value of that receipt.
A Simple Hedging Example
Assume an investor expects to receive USD 100,000 in three months and is concerned that the dollar may weaken against the euro. By entering a forward contract to sell USD 100,000 for euros at a predetermined rate, the investor locks in the conversion rate. If the dollar later weakens, the forward offsets the adverse currency move. If the dollar strengthens, the hedge also removes part or all of that favorable movement.
Main Risks
A forward can create counterparty credit risk because settlement occurs directly between the parties. It can also create liquidity risk if the contract is highly customized. A hedge may be imperfect when the maturity or underlying exposure does not match the risk being hedged; this is basis risk.
Key Takeaways
Forward contracts are flexible tools for locking in future transaction prices. Their payoff is linear, their fair price follows no-arbitrage and cost-of-carry logic, and their customization makes them especially useful for corporate and institutional hedging.
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