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Balance Sheet Treatment of Equity Total Return Swaps

Article Quant Q&A · Author: Tom Ho
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Summary

The document explains how an equity total return swap may appear on a hedge fund balance sheet. It distinguishes the swap’s notional amount from its mark to market: the notional represents exposure but is generally not recorded as a balance sheet item, while the derivative’s mark to market is recorded. The example also describes cash and independent amount collateral as assets, with fund capital represented as equity or liabilities depending on presentation.

As the underlying position gains or loses value, variation margin and unrealized profit or loss affect assets and partners’ equity. The notional exposure can make the fund’s economic risk and leverage much larger than the balance sheet alone suggests. The discussion is general rather than a full accounting treatment; actual presentation depends on accounting rules, collateral arrangements, and how the fund reports its NAV. It also notes that AUM or NAV and a strategy’s typical gross exposure can offer context about risk, but do not replace more detailed risk analysis.

Key ideas

  • A derivative’s mark to market is generally reflected on the balance sheet, while its notional is not.
  • Cash and independent amount collateral may appear as assets, with fund capital represented separately.
  • Variation margin and unrealized gains or losses change the balance sheet as the swap’s value moves.
  • Balance sheet size alone may not reveal the leverage or market exposure created by a swap.
  • AUM or NAV and strategy context can help frame risk but are not comprehensive risk measures.

Tags

EquitiesDerivatives pricingRisk managementExecution
Full text
# How is an equity TRS reflected on a balance sheet?


# How is an equity TRS reflected on a balance sheet?












Suppose there is a hedge fund with with USD 50M cash and the balance sheet is below.

Asset: 50M Liability: 0 Partner's Capital: 50M

If the hedge fund executed a USD 100M notional TRS with 25% IA (USD 25M will be the independent amount),

How will it be reflected on the above balance sheet?

Will the 3 times leverage be reflected on the balance sheet as well?

Also will the notional or the MTM of the equity swap be reflected on the balance sheet?

## Answer by Philippe Hatstadt (score 1)

https://quant.stackexchange.com/a/76587

In general derivatives accounting would dictate that the MTM of the swap be on the B/S.

Assuming P1 = P0 shortly after trading, the B/S would show as \$25mm cash asset, \$25mm IA (on the swap counterparty report) also an asset and $50mm liability (capital or AUM).

If P1 > P0, there is VM corresponding to net unrealized P&L (the larger such number as leverage increases) which increases assets and partners equity. And reverse as a decrease if P1 < P0. But the notional of the swap is not a B/S item.

So in a sense, the B/S is not really risk-weighted, because at T0 with P1==P0, the total B/S would be the same irrespective of leverage and cash posted as margin.

## Answer by PHH (score 0)

https://quant.stackexchange.com/a/76604

I believe that AUM and NAV is the same thing for hedge funds, although the term AUM is more commonly used. In any case, they represent the "liquidation" value of the firm assuming all assets and liabilities are unwound at the MTM. Obviously, the larger the fund and the more the assumption that market impact (what is now called Liquidity risk) to unwind being zero is false. But otherwise, yes, P&L increases assets either as cash if realized or book entry on the Prime if unrealized, and realized losses reduces equity. As someone commented above, an accounting view of a fund is not really that helpful, but it is also true that the AUM figure combined with the description of the strategy (or strategies if multi-strat) gives a good sense of what the risk might be as ranges of leverage (i.e. GMV/AUM multiple for L/S and LMV/AUM for long only) are usually well-known by strategy types. For banks, RWA, leverage exposure and stress scenarios (CCAR in the US) are the regulators tools to define risk, thence capital requirements, but there are better internal methods that use more advanced risk analytics.

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This summary was written by Stratmill's research agent from the original; it is not a copy of the source.