Make the currency quote and hedge direction explicit

Learning goals

• Decompose domestic return and select a currency hedge ratio.
• Compare passive, discretionary and option-based currency overlays.

Draft · approximately 60 minutes, excluding further revision.

Decision case · fictional facts

A fictional USD-based investor owns EUR 10 million of assets. Spot is 1.10 USD per EUR; one-year forward 1.08 USD per EUR. Ignore interest on interim cash, fees and asset income in the hedge illustration. At expiry spot is 1.00. For a separate unhedged return example, the euro asset gains 5% while EUR/USD falls from 1.10 to 1.00.

Quote conventions determine signs

When FX is quoted domestic currency per foreign unit, domestic return=(1+foreign-asset return)×(1+FX return)−1. Foreign-currency appreciation helps the domestic investor; depreciation hurts. Always identify numerator, denominator and base currency before applying a hedge rule, especially when market conventions invert a familiar quote.

A long foreign asset is hedged against foreign-currency depreciation by selling that currency forward for domestic currency. The hedge ratio balances risk reduction, cost, asset/FX covariance, horizon and liquidity. A static 100% ratio on initial exposure can drift when asset value changes; transaction costs and margin funding affect whether frequent rebalancing is useful.

Choose an overlay consistent with governance

Passive hedging follows a benchmark ratio; discretionary overlay allows bounded views; a separate currency alpha mandate has distinct risk and evaluation. Carry, valuation and trend strategies can fail in abrupt risk-off moves; historical profits are not risk-free arbitrage. Forward points reflect interest differentials and market conditions, not an assured currency forecast.

Options preserve favorable currency participation at premium cost; collars and put spreads reshape protection and caps. Cross-hedges use correlated currencies but create basis risk, especially in stress and less liquid markets. Confirm settlement, counterparty, convertibility and legal restrictions for the actual exposure, and evaluate overlay return separately from underlying asset skill.

Design a currency program from the investor’s policy

Specify base currency, foreign assets and liabilities, horizon, risk tolerance, permitted instruments, hedge range, collateral and governance. A spending liability in a foreign currency can justify holding that currency rather than hedging every foreign asset back to home currency. Performance evaluation should separate asset-manager and currency-manager authority.

A pension with fixed home-currency benefits and a wealthy family with foreign tuition can rationally choose different hedge policies despite holding the same international fund. Update policy when liabilities change rather than mechanically copy another institution’s ratio.

Active currency strategies use different return mechanisms

Fundamental strategies examine inflation, valuation, policy and external balances. Technical strategies use price or momentum patterns. Carry strategies earn interest differentials while accepting adverse currency and funding risks. Volatility strategies trade option-implied versus expected realized behavior. These are hypotheses requiring costs, position limits and validation, not guaranteed exchange-rate laws.

A high-yield currency can depreciate enough to exceed its interest advantage; trend models can whipsaw in range-bound markets. Diversify failure mechanisms rather than simply add strategy names.

Reassess a currency signal when its drivers change

A carry trade depends on the interest differential, expected currency change, volatility and funding conditions. If the high-yield country cuts rates while external risk worsens, the original thesis changes even before a stop price is hit. A momentum strategy can fail after policy reversal; an option strategy can lose when implied volatility falls despite unchanged spot.

Use predefined review rules and scenario evidence instead of increasing leverage to recover a loss. Identify whether a price change invalidates the economic mechanism or is within its expected noise.

Forwards set hedge notional; FX swaps roll funding dates

A 2 mforeign-currency asset exposure has a current 50% short-forward hedge. Target 75% requires total short 1.5 m, so add.5 mforeign notional at the relevant maturity. Revalue exposure and existing contracts before adjusting; the forward’s market value is not the same as its foreign notional.

An FX swap exchanges currencies near-date and reverses them forward at agreed terms. It can roll a hedge or manage currency funding but creates settlement, counterparty and rollover risks. It is distinct from simply adding an unhedged foreign investment.

Lower hedge cost can change protection

A forward has financing-based pricing and opportunity effects even if no upfront premium is paid. A collar can reduce premium by selling upside participation; an out-of-the-money protective put lowers cost but leaves an initial loss band. Cross-currency basis, transaction costs, tenor and collateral alter all-in hedging economics.

Evaluate a strategy against the client’s minimum protection need before selecting the lowest visible premium. Shortening maturities can reduce one cost but create more frequent rolls and funding risk.

Minimum-variance hedges depend on covariance and units

Let Y be the unhedged base-currency asset return and X the return on the hedge currency exposure sold short, using compatible notional units. Minimizing Var(Y−h X)gives h* = Cov(Y, X)/Var(X). With covariance.006 andvariance.01, h*=.6. A full hedge need not minimize variance when asset and currency returns interact.

A cross-hedge uses another correlated currency; correlation can break. A macro hedge aggregates net exposures but may hide local offsets and restrictions. Estimate ratios under stress and check basis, currency weights and liability needs rather than applying a regression coefficient blindly.

Emerging currency hedges face convertibility and basis limits

Capital controls, limited deliverability, market depth, counterparty access and settlement can constrain emerging-market hedges. Nondeliverable forwards settle a currency difference under a specified fixing rather than deliver the restricted currency; fixing, basis and legal risks remain. Onshore and offshore prices can diverge.

A hedge that offsets market depreciation may not release trapped cash needed for spending. Stress convertibility, collateral and repayment access alongside the exchange-rate scenario, and obtain applicable legal guidance before implementation.

Formula and assumptions

Rdom=(1+Rforeign)(Send/Sbegin)−1; short-foreign forward payoff=foreign notional×(F−Send)

Errors to catch

• Selling domestic currency to hedge a long foreign asset under this quote.
• Ignoring quote denominators or asset-value drift.

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Sources and coverage status

These original lessons are drafts. Public outlines are used to check scope; the official learning-outcome text and proprietary question banks are not reproduced here. Follow the source for exam-year requirements and updates.

• Reference · www.cfainstitute.org
• Reference · www.cmegroup.com