Decoding Funding Impacts: How Banks Navigate Derivative Valuation
"Uncover the hidden binary forces in derivative pricing that could be costing you more than you think."
In the complex world of finance, accurately valuing derivatives is crucial for managing risk and maximizing profits. Since the financial crisis of 2007-2008, banks have increasingly focused on funding spreads—the difference between lending and borrowing rates—to fine-tune their pricing models. This shift acknowledges that a bank's funding costs can significantly impact the fair value of derivatives. But what if the conventional wisdom about these adjustments is not entirely accurate? What if the key to better derivative valuation lies in understanding when funding matters and when it doesn't?
Traditionally, banks make adjustments such as credit value adjustment (CVA) and debt value adjustment (DVA) to account for credit risk and funding costs. However, these adjustments have led to debates and complexities, particularly around whether DVA double-counts funding benefits. Including both DVA and funding benefits might distort a bank's financial picture, potentially inflating profits and deflating the prices charged to counterparties. Adding to this complexity, the Modigliani-Miller theorem suggests that funding choices should not influence pricing, a view that clashes with the practical experience of traders who see funding costs as observable elements in derivative transactions.
Challenging conventional wisdom, recent research reveals a binary nature of funding impacts: funding is either a cost or a benefit, but not both simultaneously. This binary approach simplifies pricing models and offers new insights into derivative valuation. By understanding the conditions under which funding impacts shift from cost to benefit, financial institutions can refine their pricing strategies, avoid double-counting, and potentially unlock analytical solutions that were previously obscured by complex numerical models. Let’s dive into how this binary nature works and what it means for your financial strategies.
The Growing Weight of Funding Costs
Funding costs have become a central consideration in how banks value derivatives, but the scale of their impact is difficult to pin down precisely. Banks report funding adjustments differently, and valuation practices vary across institutions, instruments, and jurisdictions, so aggregate figures must be treated cautiously. What is widely acknowledged is that funding, collateral, and credit risk no longer sit at the margins of derivative pricing; they sit at its core.
Standard Methods and the Funding Blind Spot
At its core, derivative valuation sets the fair price of contracts whose value derives from the performance of an underlying asset, index, or reference point. Certain structures introduce contingent payoffs, multiple asset classes, or credit support annexes, so sound valuation depends on understanding path dependencies, correlation between asset classes, payoff structure, and complex pricing models. Funding impacts complicate the picture: under some conditions, funding is either a cost or a benefit, so one of the lending/borrowing rates drops out of the pricing equation. When derivatives are priced with different lending and borrowing rates, the result is semi-linear BSDEs and PDEs that must generally be solved numerically. Accurate valuation is nonetheless essential for financial reporting, collateral management, hedge accounting, regulatory compliance, and decisions around early termination or restructuring.
From Hammurabi to Hedging
Derivatives trace back to ancient Mesopotamia, where a law in the Code of Hammurabi resembled an option contract allowing farmers to avoid debt payments in the event of a crop failure. Ancient Greeks such as Thales engaged in early forms of options trading, and the first derivatives were developed to secure the supply of commodities in time and geographical distance as well as to protect against risk. Early instruments were also used to realize quick profits, with the attendant risk of default, and records of market abuse appeared relatively early in derivatives transactions. Governments eventually had to step in to protect consumers and investors and to mitigate systemic risk. In the modern era, corporate use of derivatives started to appear in the late 1970s, when firms began using them to manage insurable and uninsurable risk.
The Binary Nature of Funding Impacts: Cost or Benefit?
In many financial models, funding costs are treated uniformly, as either a cost or a benefit, regardless of the specific conditions of the derivative transaction. However, new research suggests that this view is too simplistic. The impact of funding on derivative valuation is binary; it functions either as a cost or a benefit, but not as a blend of both. This distinction is critical because it dramatically simplifies the pricing process under certain conditions.
- Simplified Equations: Linear equations replace complex semi-linear equations.
- Analytical Solutions: Enables the derivation of direct formulas for pricing.
- Reduced Computational Load: Eliminates the need for intensive numerical computations, saving time and resources.
Refinements in Funding-Aware Valuations
Recent research continues to refine how funding enters derivative valuation, increasingly treating funding, collateral, and credit risk in a single consistent framework rather than as separate afterthoughts. Authors draw attention to how results depend on whether a bank can lend and borrow at different rates and on how collateral agreements are modelled, which can change a valuation materially. Because much of this work is still maturing, its conclusions should be read as evolving rather than settled.
The FVA Controversy
Funding value adjustments have generated sustained disagreement among traders, accountants, and theoreticians. Traders argue that an FVA is needed to account for funding costs, while accountants contend that valuation should not depend on entity-specific costs, and theoreticians maintain that valuation should depend on risk rather than funding costs. A study examining whether a bank should make an FVA when valuing derivatives concludes that an FVA is justifiable only for the part of a company's credit spread that does not reflect default risk. In other words, even supporters limit the adjustment to the funding component that is distinct from default risk.
Contrasting Funding Philosophies
Comparisons across funding approaches highlight real differences in philosophy: some practitioners price in the full cost of funding, while academic treatments argue that only a portion of funding costs should affect fair value. The 'right' approach tends to depend on the specific instrument, the collateral agreement, and the bank's own funding and capital structure. Judgments reached under one set of assumptions, therefore, do not necessarily carry over to other contexts, making comparative conclusions context-dependent by nature.
Moving Forward: Integrating Binary Funding Insights
The discovery of the binary nature of funding impacts opens new avenues for derivative valuation and risk management. By understanding when funding operates as a cost versus a benefit, financial professionals can develop more accurate and efficient pricing models. This nuanced approach avoids common pitfalls like double-counting and allows for the use of analytical solutions in scenarios previously requiring complex numerical methods. Embracing this binary perspective enables firms to fine-tune their strategies, optimize financial outcomes, and maintain a competitive edge in the ever-evolving world of finance.
What an FVA Is - and Isn't
An FVA is an adjustment to the value of a derivative or a derivatives portfolio designed to ensure that a dealer recovers its average funding costs when it trades and hedges derivatives. Theoretical arguments indicate that the dealer's valuation should not recover the whole of its funding costs, so the appropriate adjustment is narrower than a full pass-through of funding expense. Practically, this means banks must distinguish between funding costs that are legitimately priced into a trade and those that should be excluded from fair value.
Trends Reshaping the Market
Industry research sponsored by FIA and authored by Coalition Greenwich examines how participants in the global listed and cleared derivatives markets view current issues and the key trends shaping the industry's future. In crypto, derivatives products come with distinctive features and valuation methods that underscore the complexity and innovative nature of the market, implying a future rich with potential for both risk and reward. One market research source projects the financial derivatives market to grow at around a 7.5% compound annual growth rate, though such forward-looking estimates should be treated cautiously. Another analysis reports that derivatives make up a large share of crypto trading volume but can collapse during macro shocks, with positioning driven by rates, oil prices, and geopolitical events.
The Binary Nature of Funding
Research on binary funding impacts shows that, under some conditions, funding is either a cost or a benefit, meaning one of the lending/borrowing rates does not play a role in pricing derivatives. When derivatives are priced with different lending and borrowing rates, pricing equations take the form of semi-linear BSDEs and PDEs, and it becomes necessary to solve the equations numerically. The work, appearing in a Wiley finance journal as well as in preprint form, illustrates the conceptual and computational complexity that funding adds to a bank's valuation toolkit.
Collateral, Credit, and Funding in One Framework
Following an approach first proposed by Pallavicini and co-authors in 2011, researchers have developed an arbitrage-free framework for the consistent valuation of derivative trades with collateralization, counterparty credit gap risk, and funding costs. Based on the risk-neutral pricing principle, the framework produces a general pricing equation in which Credit, Debit, Liquidity, and Funding Valuation Adjustments are handled together. The framework reflects the real-world reality that a bank pricing a single trade must simultaneously manage collateralization, counterparty default, and the cost of funding rather than treating each in isolation.