Hedge sizing connects a risk objective to the amount of an offsetting instrument. Matching the dollar value of a portfolio with the same dollar value of a short position is one possible rule, but it assumes the two exposures move sufficiently alike. An altcoin basket and a hedge referencing a different asset may not satisfy that assumption.
This article uses simplified, linear examples to explain the calculation. It does not identify a suitable contract or a recommended hedge ratio for any investor. Real implementations require contract specifications, reliable price data, and an assessment of whether the instrument is available and appropriate in the relevant jurisdiction. Begin with the hedging fundamentals guide before turning an estimate into a position.
1. Choose the variable being hedged
Start with the portfolio's reporting currency and the horizon of concern. A dollar-based calculation can obscure exposure when collateral, settlement, or liabilities are denominated in a token. A position that appears neutral in token units may still fluctuate significantly in dollars. Record both the economic exposure and the unit used to measure it.
Define the return series for the portfolio and the intended hedging reference. Use consistent timestamps and intervals. Comparing one market's daily close with another market's price several hours later can create a misleading estimate of their relationship. Include delisted holdings or changing weights where they belong in the portfolio history.
There is also a conceptual decision: are you reducing sensitivity to the reference asset, overall variation, or a particular adverse scenario? Those are different objectives. A single regression coefficient cannot tell you which objective is suitable. The portfolio strategies overview connects this measurement choice to portfolio construction.
2. Understand what beta estimates
For a simple linear model, beta is the covariance of portfolio and reference returns divided by the variance of reference returns. In notation, beta = Cov(portfolio, reference) / Var(reference). It estimates an average relationship in the selected observations. It is not a statement that the portfolio will move by that multiple during the next large decline.
CME Group's educational discussion of hedging with equity-index futures describes using portfolio value, contract value, and beta when sizing an equity hedge. That is an equity-market example, not evidence that a particular crypto basket has a stable beta. Here it serves only as context for the general sizing logic.
Estimate uncertainty matters. A coefficient based on a short, calm sample may be poorly suited to a stressed market. Compare multiple reasonable windows and inspect how much of the portfolio's variation the reference explains. A precise-looking decimal does not repair a weak economic relationship.
3. Work through an illustrative calculation
Assume a fictional portfolio is worth $50,000. Its estimated sensitivity to a hedging reference is 1.2. The chosen objective is to offset half of that estimated reference exposure, not half of every possible loss. The illustrative short notional is therefore $50,000 × 1.2 × 0.5 = $30,000.
Suppose one linear contract represents $2,000 of exposure at the entry price. Dividing $30,000 by $2,000 produces 15 contracts. If a contract instead represented $2,400, the result would be 12.5 contracts, which may not be tradable. Rounding down or up leaves different residual exposures; neither choice should disappear from the record.
Under an especially restrictive scenario where the reference falls 10% and the portfolio falls exactly 12%, the portfolio loses $6,000. A $30,000 linear short gains $3,000 before costs. The modeled combined loss is $3,000. The calculation depends on the assumed relationship and ignores changes in contract value, funding, collateral, and execution.
4. Distinguish notional from posted margin
The $30,000 in the example is exposure, not necessarily the amount deposited with a venue. Margin is collateral supporting the position. A small deposit does not make the short economically small. Treating the deposit as the hedge's size can dramatically understate both exposure and the resources needed to maintain it.
Imagine the reference rises 15% before later falling. The same simplified short would show a $4,500 loss during the initial move. The portfolio might simultaneously gain, but those gains could be unrealized or held somewhere else. The ability to meet a cash demand depends on access and timing, not merely on the eventual combined profit and loss.
Write separate numbers for notional, initial collateral, additional liquidity, and the maximum loss or funding demand examined in stress tests. Avoid using the same reserve to support multiple independent obligations. A resource that has already been pledged is not a second emergency fund.
5. Identify the sources of basis risk
Basis risk concerns differences between the exposure being held and the instrument used to offset it. Differences can arise from reference assets, settlement methods, contract maturity, currency, and trading venue. Even a contract closely associated with a spot asset can trade at a changing premium or discount before settlement.
Cross-hedging adds another mismatch. A broad-market reference cannot directly capture a token-specific exploit, an unexpected change in supply, or a withdrawal problem at a particular venue. In those scenarios, the portfolio might fall while the reference barely changes. The calculated hedge would then provide less offset than the original scenario suggested.
Test the opposite mismatch too: the reference may rise while the portfolio falls. Both legs can then lose together. This is why a correlation estimate should inform scenarios rather than replace them. The stress-testing article explains how to include joint adverse moves instead of assuming that one leg always pays for the other.
6. Decide when recalculation is justified
A hedge ratio can drift because asset prices change, portfolio weights change, or the estimated relationship changes. Rebalancing every small fluctuation creates turnover. Ignoring all changes can leave the portfolio with an exposure different from the intended one. A review policy makes this trade-off explicit.
For a hypothetical process, specify a regular review date and a separate event-based trigger. Examples of events include a substantial change in holdings, a change to contract terms, or evidence that the reference no longer tracks the relevant exposure. The thresholds must be chosen for the actual portfolio rather than copied from a generic example.
Record the old estimate, new estimate, data window, and reason for any adjustment. Compare the reduction in modeled mismatch with the trading and operating cost of the change. A recalculation that produces a new decimal is not by itself a sufficient reason to trade.
Questions worth asking before implementation
Can a beta greater than one justify a larger short than the portfolio?
The arithmetic can produce that result when attempting to offset the full estimated reference exposure. It does not establish that such a position is appropriate or feasible. A larger notional can create meaningful collateral demands and model risk. Report gross and net exposures separately rather than describing the result simply as neutral.
What happens when there is not enough reliable history?
State that the estimate is weak or unavailable. Do not fill the gap with a coefficient from another token and present it as measured. Compare simpler position reduction and scenario-based limits. Less numerical precision can be more honest than a formula built on an unsuitable sample.
Conclusion: the calculation is only one control
Hedge size starts with an objective, a measurement unit, a reference, and assumptions about their relationship. The formula translates those inputs into notional; it does not validate them. Contract rounding, collateral access, execution costs, and adverse path scenarios belong alongside the calculation.
A defensible record shows both the modeled offset and the situations in which that offset disappears. Treat beta as an estimate to challenge, not as a protection guarantee. The most important output may be discovering that the proposed instrument is a poor match for the risk in the first place.
