Equity Swap

Also known as: Price return swap

Trade the return of a stock or index against an interest rate — exposure without ownership.

3 min read · 541 words · Updated

1 · SnapshotThe one idea to remember
Key intuition: an equity swap is buying stock with borrowed money, rebuilt as a contract — the interest leg is the loan, the equity leg is the stock.
2 · BeginnerWhat is it, really?

An equity swap is an agreement to exchange two streams of payments: one side pays the return of a stock or index, the other pays an interest rate (usually a floating money-market rate plus a spread) on the same notional amount.

Receive the equity leg and you profit when the stock rises and pay when it falls — exactly as if you owned it, though you never touch a share. The other side, typically a bank, holds the actual shares as its hedge and effectively lends you the exposure.

Why bother? Ownership can be expensive or impossible: foreign-investor restrictions, tax frictions, disclosure thresholds, or simply not wanting to tie up cash. A swap converts all of that into a clean financing arrangement.

Renting an index's return for a period
Equity receiverwants the exposureEquity payerthe dealer1The index return over theperiod2A floating rate plus aspread3The fall, in cash4Nothing further, and noshares

a paymentonly if a condition is metnot a payment

The same two-leg structure as any swap, with a share or an index on one side and a money-market rate on the other.

At each reset

  1. Equity payer → Equity receiver Calculated on the notional from the agreed opening level to the new one. Whether dividends are included is a term of the contract, not a convention.
  2. Equity receiver → Equity payer The financing leg, on the same notional. The spread is where the dealer's margin sits, and it is negotiable.

netted: only the difference is paid

If the index fell

  1. Equity receiver → Equity payer A negative return reverses the first arrow: the receiver pays. There is no floor unless one was written in.

At maturity

  1. Equity receiver → Equity payer The last reset settles and the contract ends. Nobody ever held the index.
Asset class
Equity derivatives
Instrument type
Swap (linear)
Traded
OTC, bilateral
Typical users
Hedge funds, banks, asset managers

Which risks decide the outcome

Not how risky this is, and not a rating — there is deliberately no total. It says which of five failure modes drives what happens here, in the same order on all 129 products so they can be compared. This publication's own reading; see the notice below.

  • Marketdecides it
  • Creditmatters
  • Liquiditybarely applies
  • Fundingdecides it
  • Operationalmatters

What decides it here. Market risk on the index, funding risk on the collateral, and a single dealer on the other side of both.

What the five mean, and which one decides where →

3 · IntermediateHow it works in practice

Anatomy of a trade

  • Notional: e.g. €10M of an index. Often "resetting" — the notional is marked to the index each period.
  • Equity leg: price return (capital gains only) or total return (including dividends — see Total Return Swap).
  • Financing leg: floating rate (€STR, SOFR) ± spread. The spread is the bank's charge for balance sheet, hedging costs and stock borrow.
  • Resets: at each period-end, the equity performance is cash-settled and the clock restarts.

Who pays whom

If the index returned +3% this quarter and financing is 1% for the period, the equity receiver nets +2% × notional. If the index fell 4%, they pay 5% × notional (4% loss plus 1% financing).

Common motivations

  • Synthetic prime brokerage: hedge funds run long/short books largely via swaps ("delta one").
  • Market access: exposure to markets where direct custody is impractical.
  • Dividend and tax positioning — heavily regulated; the era of cross-border dividend-tax swaps has driven major rule changes.
Worked example: €10M notional, quarterly resets. Index +5.0%, €STR+0.35% financing ≈ 0.85% for the quarter. Equity receiver gets €500k − €85k = €415k.
4 · AdvancedPricing & valuation

Valuation

A resetting equity swap is worth zero at each reset with a fair financing spread; between resets, its value is the accrued equity performance minus accrued financing, discounted:

$$ V_t \;=\; N\left(\frac{S_t}{S_{t_0}} - 1\right) - N\,(r+s)\,\tau \quad\text{(current period, undiscounted approximation)} $$
What the symbols mean
  • Va value
  • ta point in time
  • Nthe normal distribution, or a count
  • Sthe price of the underlying today
  • rthe interest rate, per year
  • tautime remaining, in years

The full swap is a strip of forward-starting periods, each valued off the equity forward curve \(F(T)\) and the discount curve. Because each period's exposure resets, duration is short and the trade is dominated by the spread \(s\).

What sets the spread

$$ s \;\approx\; \underbrace{c_{\text{balance sheet}}}_{\text{capital, leverage ratio}} \;+\; \underbrace{b_{\text{borrow}}}_{\text{for shorts: stock loan fee}} \;+\; \underbrace{\delta_{\text{div risk}}}_{\text{dividend uncertainty}} \;-\; \underbrace{\pi_{\text{netting}}}_{\text{portfolio offsets}} $$
What the symbols mean
  • cthe coupon rate
  • deltaa small change in whatever follows
  • pia probability, or a profit, depending on the line above

Long exposure a bank can hedge with easily-funded index futures commands tight spreads; hard-to-borrow single names on the short side can cost hundreds of basis points.

Risk management view

Delta is ~1 by construction; residual risks are dividends (if price-return), rate resets, correlation between client default and equity level (wrong-way risk), and gap risk on resets. Since 2021's family-office blowups, swap desks stress concentrated single-name books far harder.

The formulas above are standard textbook formulations, simplified for teaching. They explain the mechanism — they are not a valuation tool, and they will not reproduce a dealer’s price.

5 · Desk notesHow practitioners think about it
Practitioner note: quote = funding + borrow + capital. When a swap looks "cheap", one of those three is being given away — find out which and why.

Now say it back

Close the page and give Equity Swap in four sentences. It takes a minute and it is the only way to find out whether reading it was enough.

  1. Who wants what — two parties wanted opposite things badly enough to write it down.
  2. What the contract obliges, and when — not the payoff; the obligation.
  3. Where the money comes from — name the source, or you have described a hope.
  4. What makes it lose — the ordinary way, not the dramatic one.

Do it with a clock → · why these four

Put Equity Swap beside any other instrument →

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Hard. Eq. DerivativesTRS · TRORS

Total Return Swap

One leg pays everything an asset earns — price moves and income — the other pays funding. Ownership economics without ownership.

Where this instrument shows up elsewhere

  • MediumHedgingConceptsA hedge does not remove risk
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