Reducing Equity Beta with Index Futures
Kestrel Pension Fund has a £100m UK equity portfolio with a beta of 1.10 against the FTSE 100. The investment committee wants to reduce beta to 0.70 for the next three months because of a short-term market view, without selling shares and triggering transaction costs. The fund can use FTSE 100 index futures at 7,500, with a £10 multiplier and initial margin of £8,000 per contract. The futures contract expires in three months and the fund would roll if needed. Alternatively, a bank offers a three-month total return swap on the FTSE 100 with a 15bp annual fee and no initial margin, but with a £20m counterparty exposure limit. The fund's broker says the futures market is liquid but the front-month contract has open interest concentrated in the March expiry. The committee asks how many futures to sell, what margin is needed, and whether the futures or swap is better.
1. Calculate the number of futures contracts needed to reduce beta from 1.10 to 0.70 and the initial margin required. If the index rises 8%, what is the futures loss and the net portfolio outcome?
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Required beta reduction = 1.10 − 0.70 = 0.40. Equity exposure to remove = 0.40 × £100m = £40m. Value of one futures contract = 7,500 × £10 = £75,000. Contracts = £40m ÷ £75,000 = 533.33, so sell 533 contracts (534 would slightly overhedge). Initial margin = 533 × £8,000 = £4.264m. If the index rises 8%, the futures price rises by 7,500 × 8% = 600 points. Futures loss = 600 × £10 × 533 = £3.198m. The portfolio's equity gain at beta 1.10 would be 1.10 × 8% × £100m = £8.8m. Net gain = £8.8m − £3.198m = £5.602m, or 5.6% of £100m, which matches the target beta of 0.70 × 8% = 5.6%. The hedge works economically, but the fund must fund the £3.198m variation margin call.
2. Assess the margin and liquidity implications, including the three-month roll. What risks should the committee monitor?
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The initial margin is £4.264m, or about 4.3% of the portfolio. A rising market produces daily variation margin calls: an 8% rise costs £3.198m, and a larger rise costs proportionally more. The fund needs a cash buffer or a collateral management arrangement; it should not assume the initial margin is the maximum cash requirement. If the market falls, the short futures position gains and the fund receives variation margin, which helps offset equity losses. At expiry, the fund must roll 533 contracts into the next expiry. Roll risk includes a price gap between the expiring and next contract, transaction costs, and the possibility that the March expiry's concentrated open interest makes the roll more expensive or harder to execute. The committee should monitor basis risk (futures versus the fund's actual portfolio, including dividends and index composition), margin calls, roll timing, and the residual beta after rounding. A 533-contract short is large but manageable in a liquid index future if executed carefully, possibly using a block trade or algorithmic execution.
3. Compare the futures hedge with the total return swap, considering market structure, counterparty risk and cost. Which should the fund use?
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Futures are exchange-traded, centrally cleared and transparent. The fund bears daily variation margin and roll risk, but counterparty exposure is to the CCP and clearing member, not to a single bank. The swap is OTC: it avoids initial margin and roll execution, but creates bilateral counterparty exposure to the bank and a £20m exposure limit. The 15bp annual fee on £40m notional is £60,000 per year, or about £15,000 for three months, before any hedging and collateral costs. That looks cheap, but the fund must monitor mark-to-market exposure, collateral terms, termination provisions and the bank's creditworthiness. The swap may also embed a spread or early-termination cost. Given a three-month tactical hedge, a liquid futures contract is usually the cleaner tool: central clearing, price transparency and easy unwind. The futures market's March concentration is a roll-execution issue, not a reason to prefer an opaque OTC alternative. Recommendation: use the futures hedge if the fund can hold a £4–5m margin buffer and manage the roll; use the swap only if margin funding is constrained and the bank exposure can be properly collateralised and monitored.