Comparing Hedged and Unhedged Returns
A currency hedge changes the portfolio's payoff by adding a contract; it does not simply delete a line called currency return. Forward pricing, notional choice, asset-value changes, and settlement can all affect the result. A fair comparison specifies those mechanics before examining performance.
Hold the foreign investment constant, define the hedge contract and quote direction, and combine the converted asset value with the hedge payoff. Show forward points, residual exposure, and costs separately. A starting-value hedge need not cover later asset gains, and a hedged return need not equal the foreign asset's local return.
Define the hedge as an additional position
For an investor owning a foreign asset, a forward sale of foreign currency can offset part of the change in its reporting value. Define the foreign notional, maturity, forward rate, settlement currency, and any collateral arrangement. A comparison labeled fully hedged is incomplete unless it states what is fully hedged: the opening asset value, a known future payment, or a periodically reset estimate of exposure.
CFA Institute's Currency Management: An Introduction distinguishes strategic currency choices and the instruments used to implement them. In research, keep the underlying asset identical across hedged and unhedged cases so the overlay's effect can be isolated. Comparing two funds with different holdings, fees, and dealing times does not cleanly measure the benefit or cost of the hedge alone.
Explain forward points before calling them a cost
Under a frictionless one-period covered-interest-parity example, a quote in home currency per foreign unit has forward rate equal to spot multiplied by one plus the home rate, divided by one plus the foreign rate. Maturity and compounding must match. This is a no-arbitrage relationship under assumptions about funding and comparable instruments, not a prediction that the future spot rate must equal the forward rate.
BIS researchers' Covered interest parity lost: understanding the cross-currency basis examines deviations associated with hedging demand and balance-sheet constraints. Actual forward points can therefore reflect more than a simple policy-rate difference. Distinguish the forward discount or premium from bid-offer charges, custody expenses, and collateral funding. A negative forward contribution in one direction can be positive in the reverse direction; the word cost requires a clearly specified investor and transaction.
Set up a synthetic matched-horizon comparison
Assume a EUR-reporting investor holds a synthetic USD 1 million asset at an initial rate of EUR 0.90 per USD, so initial value is EUR 900,000. Use illustrative annual home and foreign cash rates of 2% and 4%. Ignoring basis and all costs, the one-year forward rate is 0.90 multiplied by 1.02 divided by 1.04, approximately EUR 0.882692 per USD.
Suppose the risky asset gains 6% in dollars and the ending spot rate is EUR 0.81 per USD. Without a hedge, USD 1.06 million converts to EUR 858,600, a negative 4.6% return. These are invented scenario inputs, not current rates or forecasts. The comparison holds the asset return and ending exchange rate constant so the effect of adding the defined forward can be examined directly.
Add the forward payoff and identify residual exposure
Sell the opening USD 1 million forward at the synthetic rate above. At maturity, the EUR payoff relative to spot conversion is the notional multiplied by forward minus ending spot, approximately EUR 72,692. Adding this to EUR 858,600 gives EUR 931,292, a return of about 3.48% on EUR 900,000. The result is positive but not equal to the asset's 6% local return.
The hedge covers the initial dollars, not the USD 60,000 gain. That gain remains exposed to the ending exchange rate. Forward points also affect the combined result. If the terminal foreign amount were known in advance, a matching notional could hedge it, but a risky asset's future value is not normally known. Calling the opening-value hedge complete should not conceal this residual exposure or assume perfect future resizing.
Understand rolling and dynamic notional rules
Monthly resetting and a single annual forward are different strategies, even if both are described as 100% hedged. Intermediate asset returns change notional amounts, and successive forward rates reflect the conditions at each reset. Dividends, subscriptions, withdrawals, and fees can create additional mismatches. A back calculation must use the declared rule and information available on each reset date rather than the final realized foreign value.
Define rounding, tolerance bands, and how uncertain private valuations affect notional updates. Overhedging can create an outright currency position when the underlying asset value falls or a distribution reduces exposure. Underhedging leaves part of the asset unprotected from translation. These are mechanical consequences of the chosen rule, not necessarily implementation errors. The research should report them before comparing headline returns across hedge ratios.
Separate economic offset from cash readiness
An overlay can lose cash value while the underlying asset gains translated value. The overall economic position may partly offset, yet the investor may still need settlement cash or collateral before selling the asset. This distinction matters when assets trade infrequently or have withdrawal restrictions. A positive combined modeled return does not prove that the investor could fund every intermediate demand without additional resources.
Include the actual settlement and collateral assumptions, counterparty arrangements, and source of funding for cash demands. Avoid automatically deducting a collateral posting as a permanent investment loss; it may be a restricted asset rather than an expense. Funding interest and transaction charges are different items. BIS research on hedging demand highlights the importance of intermediation capacity, which should discourage treating every theoretical forward as available at unlimited size without friction.
Compare results on consistent reporting terms
A useful comparison shows the foreign local return, unhedged translation, forward payoff, residual exposure, and identified costs. State whether hedge returns are scaled by opening portfolio value or another denominator. Use matching valuation times and a benchmark implementing the same hedge frequency. A local-currency index is not automatically a realizable hedged benchmark because it may omit forward points and execution effects entirely.
Conclude with the conditional payoff differences and their sources, not a universal verdict that hedging improves returns or removes all currency-related risk. Asset-currency covariance and funding constraints can change the risk comparison. The illustrative exercise explains why two return series differ under defined contracts; it does not identify the correct hedge ratio for a present investor or predict which currency strategy will outperform next.
What to retain
- A hedge adds a contract whose forward price and notional must be specified.
- Opening-value hedges leave changing asset values and cash flows partly exposed.
- Combined returns, collateral needs, and implementation costs are different measurements.
Source notes
Related research
Currency Translation and Cross-Border Returns
Calculate base-currency returns with explicit quote direction, cash-flow timing, and distinctions between translation and economic exposure.
The Dollar's Trade, Valuation, and Financial Channels
Analyze dollar movements through debt denomination, investor balance sheets, trade, and commodity translation without assuming one universal asset response.
Return definitions that make cross-asset comparisons meaningful
Calculate price, income, currency, real, and futures returns using compatible denominators and compounding conventions.
Version 1, 15 October 2026. First publication. Illustrative calculations are identified in context; source observations retain their stated dates.