3.6 Currency, Stock Index, and Municipal Cross-Hedges

3.6 Currency, Stock Index, and Municipal Cross-Hedges

Financial futures hedge exposures that do not involve bushels, barrels, or warehouse receipts. The core logic remains the same: determine what the business will own, receive, sell, or buy in the cash market; identify the adverse price move; then choose the futures position that gains during that move.

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Currency Futures

Many U.S.-listed currency futures are quoted in U.S. dollars per unit of foreign currency. When the foreign currency strengthens, the dollar price of that futures contract rises. When it weakens, the price falls.

Importer and Exporter Logic

• A U.S. importer that will pay euros in three months must acquire euros later. The importer is economically short the future euro need and is hurt if the euro strengthens. The hedge is to buy euro futures now and sell them when the cash euros are purchased.
• A U.S. exporter expecting to receive euros is long the future euro receipt and is hurt if the euro weakens. The hedge is to sell euro futures and buy them back when the receipt arrives.
• A U.S. investor who owns foreign securities can have both asset-price risk and currency risk. Selling a currency future addresses the dollar value of the foreign currency exposure, not the local-market value of the security itself.

Suppose an importer will owe €625,000 and each euro futures contract covers €125,000. Ignoring a hedge-ratio adjustment, the importer buys:

$N = \frac{625{,}000\ \text{EUR}}{125{,}000\ \text{EUR}} = 5 \text{ contracts}$

If the futures price rises from $1.0800 to $1.1200 per euro, the five-contract gain is:

$5 \times 125{,}000\ \text{ EUR} \times $0.0400 = $25{,}000$

The cash euros also cost $25,000 more than they would have at $1.0800, so the futures gain offsets the adverse currency move before basis and transaction costs. If the euro weakens, the importer buys cash euros more cheaply but loses on the long futures.

Contract dates rarely match the cash payment exactly. The importer normally uses the nearby liquid contract expiring after the exposure date and offsets before delivery. Differences between spot and futures changes, timing, and contract size create residual risk.

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Stock Index Futures

A stock index is not a deliverable share certificate. Index futures therefore use cash settlement. Contract value is:

$\text{Contract Value} = \text{Futures Index Level} \times \text{Multiplier}$

If an index future is 5,000 and the multiplier is $50, one contract represents $250,000 of index exposure. A 20-point move changes value by $1,000 per contract: 20 × $50.

Hedging an Existing Equity Portfolio

A manager holding a diversified equity portfolio fears a market decline. The portfolio is long market exposure, so the manager sells index futures. A beta-adjusted hedge uses:

$N = \frac{V_P \times \beta_P}{F \times M}$

where $V_P$ is portfolio value, $\beta_P$ is portfolio beta, $F$ is the futures level, and $M$ is the multiplier.

Example: A $12.5 million portfolio has beta 1.20. The index future is 5,000 with a $50 multiplier, so one contract represents $250,000.

$N = \frac{\$12{,}500{,}000 \times 1.20}{\$250{,}000} = 60$

Selling 60 contracts targets the portfolio's modeled market exposure. If the portfolio beta changes or the holdings do not track the index, the hedge outcome differs from the model.

Hedging an Anticipated Purchase

A pension plan expecting a large contribution next month fears that stock prices will rise before it can invest. It is short an anticipated equity purchase and can buy index futures. A futures gain during a market rally offsets the higher cash purchase cost. If the market falls, the futures lose but the plan buys shares more cheaply.

Index futures can also alter portfolio beta without selling every security. To reduce beta, sell contracts; to increase beta, buy contracts. The calculation uses the desired beta change rather than automatically hedging to zero.

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Municipal and Other Financial Cross-Hedges

A dealer holding municipal bonds may sell Treasury futures when no sufficiently liquid municipal futures contract matches the exposure. Both instruments can decline when interest rates rise, but their prices may respond differently because of tax treatment, credit spreads, call features, maturity, and duration. This is a cross-hedge, not a perfect lock.

The same warning applies to a jet-fuel exposure hedged with a related petroleum contract or a small-stock portfolio hedged with a broad index. Correlation can weaken exactly when stress rises. Contract count is only the starting point; the hedger must monitor basis, beta, maturity, settlement method, liquidity, and rolling costs.

Cross-Market Hedge Recognition

The job title is less important than the price exposure. The following examples integrate the physical and financial markets named in the Series 3 outline:

Contract size, delivery month, grade, location, duration, beta, and correlation determine how many contracts to use and how much basis risk remains. A related contract may be liquid, but it is never an automatic perfect hedge.

A strong Series 3 answer follows four steps:

1. State whether the cash exposure is economically long or short.
2. State the adverse price move.
3. Choose the futures position that profits during that move.
4. Calculate the contract count using the supplied size, multiplier, beta, or hedge ratio.

This method prevents the common mistake of choosing a hedge from the participant's job title rather than from the actual exposure.