Fixing a price does not remove every risk
A forward exchange contract agrees today on the rate for exchanging currencies at a future date. An importer with a known foreign-currency bill can therefore make its domestic-currency payment more predictable. An investor can reduce uncertainty in translating a foreign asset’s proceeds. The economic purpose depends on the exposure being matched, not simply on whether the derivative subsequently shows a gain or loss.
The forward price is not automatically the market’s best forecast of the future spot exchange rate. Covered interest parity links the spot rate, forward rate and the two currencies’ interest rates through a comparison of fully hedged funding routes. BIS research explains both that benchmark and the persistent deviations from it observed after the global financial crisis. [1]
The no-arbitrage calculation
Use a hypothetical one-year example with the exchange rate quoted consistently as U.S. dollars per euro. Spot is $1.10 per euro, the dollar interest rate is 5% and the euro rate is 3%, both using simple one-year accumulation. Ignore credit differences, transaction costs, collateral costs and the basis. Covered interest parity gives forward dollars per euro as 1.10 × 1.05 ÷ 1.03, or approximately 1.121359. [1]
The replication explains the formula. Starting with $1.10, a dollar deposit ends with $1.155. Exchanging the same amount for one euro and investing at 3% produces €1.03. Selling that known future €1.03 at the parity forward rate produces $1.155 as well. Otherwise, under the frictionless assumptions, borrowing on one route and lending on the other would create an arbitrage opportunity.
The quote direction matters. Dollars per euro and euros per dollar are reciprocals; reversing the quote also reverses the way the interest-rate ratio is written. Forward points are the difference between forward and spot quotations, not necessarily a commission charged by the dealer. In this example, the positive points reflect the higher dollar interest rate even before any dealer spread or market friction.
A matched importer hedge in two exchange-rate outcomes
Assume a U.S. importer must pay exactly €1 million in one year and buys those euros forward at the hypothetical parity rate. Its contractual dollar outlay is approximately $1,121,359. If the maturity-date spot rate is $1.20, an unhedged purchase would cost $1,200,000, so the forward avoids about $78,641 of additional cost. If spot is $1.00, the unhedged cost would be $1,000,000, and the forward costs about $121,359 more.
The hedge was not designed to win against whichever spot rate later occurred. It fixed the currency cost of a specified bill. The comparison is meaningful only because the payment amount, currencies and date match. If the supplier cancels the order, reduces the invoice or changes its due date, the original contract remains an obligation until it is settled or otherwise closed out. The mismatch can turn part of a hedge into an uncovered position.
Actual contracts may have different settlement conventions, business-day rules, fees and credit terms. The arithmetic assumes a deliverable one-year forward held to maturity and excludes those differences. It is not a current exchange-rate quote or a recommendation to hedge.
Scroll horizontally to see all columns.
| Hypothetical maturity spot | Unhedged cost of €1m | Contracted forward cost | Forward cost relative to unhedged |
|---|---|---|---|
| $1.20 per euro | $1,200,000 | $1,121,359 | $78,641 lower |
| $1.00 per euro | $1,000,000 | $1,121,359 | $121,359 higher |
The cross-currency basis is a financing wedge
In actual markets, the swap-implied cost of obtaining a currency can differ from borrowing it directly. This gap is described through the cross-currency basis. BIS’s 2016 analysis attributes persistent deviations to imbalanced hedging demand combined with limits on arbitrage, including the cost and availability of bank balance-sheet capacity. The paper’s historical findings are not evidence of the size or sign of today’s basis. [1]
The distinction from ordinary forward points is crucial. A forward can differ substantially from spot even when covered interest parity holds exactly. A nonzero basis is the additional deviation from the matched interest-rate comparison. Its quoted sign depends on the currency leg, instrument and convention; “a negative basis” without those details is incomplete.
For an invented pricing comparison, suppose the otherwise identical forward is quoted at $1.13 rather than the frictionless $1.121359. Buying €1 million then requires about $8,641 more dollars. That is the observable cost difference for this example. It should not automatically be labeled a universal number of : extracting a standardized basis requires the relevant discount curves, conventions and treatment of credit and collateral.
A high foreign yield is not the same as a high hedged return
The replication above can also be read as an investment example. A dollar investor converts $1.10 million into €1 million, earns 3%, and sells the known €1.03 million maturity amount forward at $1.121359. The dollar proceeds are $1.155 million, a 5% return under the idealized assumptions. The low euro deposit yield and the forward adjustment combine to match the dollar deposit yield. Hedging only the original principal would leave the euro interest unhedged.
This example uses known deposit proceeds. A bond, equity investment or fund has a less certain terminal value, and a hedge fixed to today’s principal need not cover tomorrow’s entire exposure. Rolling a short hedge over a longer investment also leaves future hedge prices unknown.
RBA research distinguishes the return on a foreign asset from the currency translation of that return. It also shows why reducing currency exposure need not always reduce total portfolio volatility: exchange-rate changes can amplify or offset the underlying asset’s fluctuations. The analysis depends on correlations, horizon and costs rather than a universal rule that full hedging is always safer. Its September 2009 results are historical research, not forecasts of future correlations. [3]
Cash-flow timing survives an economic hedge
An FX swap pairs an exchange of currencies with a reverse exchange later; an outright forward establishes the future exchange without the same initial principal exchange. BIS’s 2017 analysis emphasizes that deliverable FX derivatives can create substantial principal payment obligations and that repeatedly rolling short-term hedges against long-term assets can produce and maturity mismatches. A small reported derivative value need not describe the principal that must change hands. [2]
For the importer, a forward’s negative market value can accompany a cheaper prospective euro invoice, leaving the combined economics broadly offset. But if the agreement requires collateral before the invoice is paid, the company may need cash earlier than the offsetting business benefit arrives. Whether margin is due depends on the actual agreement; it is not a universal requirement for every corporate forward.
The same timing problem can become more severe when the underlying asset cannot be sold readily or the dealer cannot renew a hedge. BIS notes that even currency-matched positions can encounter funding strain when principal must be repaid or contracts rolled. [2] Solvency of the overall position and ability to meet tomorrow’s payment are distinct.
The evidence behind a meaningful comparison
A comparison of hedged costs becomes interpretable when it identifies the currency quotation, common maturity, borrowing and investment benchmarks, settlement amount, fees and collateral terms. Otherwise a supposed basis change can actually be a change of tenor, counterparty credit exposure or quotation convention.
The enduring insight is that a hedge exchanges one kind of uncertainty for a more specific set of contractual cash flows. Those flows can stabilize a trade payment or asset translation without guaranteeing a better realized outcome than remaining unhedged. Changes in matched funding costs, hedge demand, dealer capacity and rollover conditions help explain the price; the forward quote alone is not an exchange-rate forecast.
Sources
- Borio, McCauley, McGuire and Sushko, BIS Quarterly Review; Covered interest parity lost: understanding the cross-currency basis; September 2016SourceBack to text: ↑1↑2↑3
- Borio, McCauley and McGuire, BIS Quarterly Review; FX swaps and forwards: missing global debt?; September 2017SourceBack to text: ↑1↑2↑3
- Reserve Bank of Australia; The Impact of Currency Hedging on Investment Returns; September 2009SourceBack to text: ↑