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Derivatives in Portfolio Management

In institutional books, derivatives are not a substitute for trading stocks; they are the fast language of risk adjustment. Index futures move beta in one trade, TRS imports a market without delivery, and options reshape the distribution. The secondary costs — margin and basis — belong in the allocation math.

نویسنده: FinScope Derivatives Editorial Team · آخرین به‌روزرسانی: ۱۶ آبان ۱۴۰۵

اهداف یادگیری

  • Size index futures to move portfolio beta
  • Execute currency overlays with forwards
  • Budget margin consumption and basis risk in the allocation

پیش‌نیازها

Futures and Forwards: Fair Value, Basis and Margin · Risk Management and Hedging with Derivatives

Beta management with index futures

Portfolio beta changes without selling stocks: contracts = (β_target − β_current) × portfolio value ÷ notional per contract. Target below current → short futures; above → long. The advantages: single-trade execution, low transaction costs, no realization of gains in the equity book. The costs: margin, basis and roll risk. For structural changes futures are a bridge — move beta first, migrate to physical equities gradually (the standard transition pattern).

N* = (β_target − β_current) × V_portfolio / (F × multiplier)
Currency overlay: N_fwd = V_foreign / forward size
Residual risk = basis + tracking error vs the index
A 50% currency hedge accepts half the FX risk; 'full hedging' in a diversified book is usually neither desirable nor cheap.

Return reconstruction and liquidity discipline

TRS delivers an index's total return without delivery — the standard tool for fast access to hard markets or long/short implementation. Options reshape the distribution: index puts cap the downside (portfolio insurance); covered calls improve sideways markets at the cost of capped upside. The governance rule: every hedge must have a margin, liquidity and rebalancing plan, and its effect must appear in the portfolio's stress tests — a hedge that triggers margin calls without a budget is itself a liquidity risk.

Worked example: cutting beta from 1.2 to 0.8

  1. Portfolio 50m at beta 1.2; index futures notional 250,000.
  2. N* = (0.8 − 1.2) × 50M ÷ 250K = −80 → short 80 contracts.
  3. Market falls 10%: book loses ≈ −6M; futures gain ≈ 80 × 250K × 10% = +2M → net −4M = beta 0.8 ✓.
  4. Initial margin at 5%: 1M cash locked; a further 2% adverse move ≈ 400K call.

نتیجه: Beta hedging works — and consumes capital: margin budget and basis risk are part of the cost of risk reduction, not an implementation detail.

پرسش‌های متداول

Why use futures instead of selling stocks to cut beta?

Speed (one trade vs hundreds of lines), lower costs, and no tax realization in the equity book. Limits: futures deliver index exposure only — book-specific tilts still need physical trades.

Should the currency hedge be full?

Usually not: full hedging pays roll and basis costs for a risk that is partly a return source. Institutions pick a policy ratio between 0 and 100% and execute with forwards.

When does a hedge itself become the risk?

When margin and liquidity are ignored: a large hedge in a crisis demands cash exactly when the spot side is losing; without a budget the hedge is force-closed at the worst point. Size hedges with margin budgets and adverse-path scenarios.

منابع

  1. Fabozzi, F., & Focardi, S. (2021). Institutional Investment Management. Wiley.
  2. Hull, J. C. (2022). Ch. 3, 22. Pearson.
  3. CFA Institute curriculum (conceptual reference).

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