Funding Valuation Adjustment (FVA) Explained

Funding Valuation Adjustment (FVA) is an adjustment banks make to the valuation of uncollateralised or partially collateralised derivatives to account for the cost (or benefit) of funding the position over its life. It is one of a family of valuation adjustments — collectively known as "XVA" — that banks apply on top of a derivative's theoretical risk-neutral price to reflect real-world costs that a textbook pricing model ignores.

Why FVA exists

Classical derivatives pricing theory, built on risk-neutral valuation, assumes a bank can borrow and lend freely at the risk-free rate to hedge a position. In practice, banks fund their trading books at rates above risk-free — reflecting their own credit spread and the market's cost of unsecured funding — and this funding cost is real and must be recovered. FVA captures the present value of that expected funding cost (or, where a position generates excess collateral, funding benefit) over the life of a derivative. It emerged as a distinct, widely-discussed valuation adjustment following the 2008 financial crisis, when the gap between risk-free rates and banks' actual funding costs widened dramatically and could no longer be ignored in pricing.

How FVA relates to CVA and other XVAs

FVA sits alongside Credit Valuation Adjustment (CVA), which separately accounts for the expected cost of counterparty default risk. Where CVA adjusts for the risk that a counterparty fails to pay, FVA adjusts for the cost of funding the bank's own side of the trade and any associated hedges or collateral postings. The two are related but distinct: a perfectly collateralised trade with daily variation margin has minimal counterparty credit risk (low CVA) but can still carry meaningful funding costs if the collateral terms are asymmetric (nonzero FVA). Other XVAs in the same family include Debit Valuation Adjustment (DVA, the mirror of CVA from the bank's own default risk), Margin Valuation Adjustment (MVA, the cost of posting initial margin), and Capital Valuation Adjustment (KVA, the cost of the regulatory capital a trade consumes).

Why FVA remains debated

Unlike CVA, which is now required under accounting standards and capital rules, FVA has never achieved the same universal acceptance. Some academics and practitioners have argued FVA double-counts costs already captured elsewhere, or that including a bank's own funding spread in derivative valuation is economically inconsistent with risk-neutral pricing theory. In practice, most major dealing banks do incorporate FVA into internal pricing and P&L, because ignoring real funding costs would mean systematically mispricing uncollateralised and partially-collateralised business, but the debate over its precise theoretical justification has never fully settled, and FVA methodologies vary more across institutions than CVA methodologies do.

Practical impact on derivatives pricing

For a bank's trading desk, FVA affects the all-in price quoted to a client for an uncollateralised derivative, such as a swap with a corporate counterparty that does not post collateral under a Credit Support Annex. The less favourable the funding terms, and the longer the trade's maturity, the larger the FVA charge tends to be, which is one reason banks increasingly push clients toward collateralised trading relationships where practical. Understanding how FVA interacts with counterparty counterparty risk assessment is central to pricing derivatives correctly in a post-crisis market structure.

FAQ

Is FVA the same as CVA?

No. CVA prices counterparty default risk; FVA prices the cost of funding the trade and its hedges. They are calculated separately and can move independently.

Do all banks calculate FVA the same way?

No — FVA methodology varies more across institutions than CVA, partly because of the ongoing theoretical debate over how it should be modelled.

Does full collateralisation eliminate FVA?

It substantially reduces FVA but doesn't always eliminate it entirely, depending on collateral terms such as rehypothecation rights and the currency of posted collateral.

Finance professionals studying derivatives valuation and risk management can deepen this knowledge through Learnsignal's CPD courses, which cover XVA concepts as part of broader risk and treasury training.

How FVA is calculated in practice

At a conceptual level, FVA is calculated as the present value of expected future funding costs across the life of a trade, derived by projecting the expected exposure profile of the derivative (similar to the exposure profile used in CVA calculations) and multiplying it by the bank's funding spread over the relevant tenor at each point in time. This requires modelling both the expected positive exposure, where the bank would need to fund a position, and the expected negative exposure, where the trade generates a funding benefit. Banks typically use their own internal funding curve, derived from the spread at which their treasury desk can raise unsecured term funding, rather than a market-wide benchmark, which is part of why FVA figures are not directly comparable across institutions even for economically similar trades.

Wrong-way risk and FVA interaction

FVA calculations can become considerably more complex when a trade exhibits wrong-way risk — where exposure to a counterparty tends to increase precisely when that counterparty's own credit quality (and by extension, correlated funding conditions) is deteriorating. In these cases, a simple expected-exposure-times-funding-spread calculation can understate the true cost, since the scenarios where funding is most needed are correlated with the scenarios where it is hardest and most expensive to obtain. Sophisticated XVA desks build this correlation explicitly into their FVA models rather than treating exposure and funding cost as independent.