
Concept
The Net-to-Gross Ratio (NGR) functions as a critical modulator within the Basel framework’s calculation of Potential Future Exposure (PFE). Its primary role is to quantify the degree of risk reduction achieved through legally enforceable bilateral netting agreements. A firm’s PFE represents a calculated estimate of the potential increase in exposure to a counterparty over a future time horizon, should that counterparty default. The NGR provides a precise, data-driven scalar that adjusts this PFE calculation, directly linking a portfolio’s netted current market value to its gross, unnetted value.
This mechanism ensures that capital requirements are more accurately aligned with the true economic risk of a derivatives portfolio. A lower NGR signifies a more effectively hedged or balanced portfolio, where positive and negative mark-to-market values substantially offset one another. This directly translates into a lower PFE add-on, and consequently, a reduced Exposure at Default (EAD) figure, which is the final number used in regulatory capital calculations. The ratio acts as a system-level governor, preventing the over-allocation of capital to portfolios where internal risk mitigation through netting is already robust.
The Net-to-Gross Ratio acts as a crucial discount factor on potential future exposure, directly reflecting the risk mitigation benefits of a netted derivatives portfolio.
Understanding this ratio’s function requires seeing it as an architectural component of risk measurement. The “gross” value represents the sum of all positive fair values of derivative contracts within a netting set, a raw measure of exposure. The “net” value is the sum of all positive and negative fair values, floored at zero. The NGR, being the ratio of net current credit exposure to gross current credit exposure, thus provides an immediate, quantitative snapshot of netting efficiency.
An NGR of 1 indicates no netting benefit, as the portfolio consists entirely of in-the-money positions. Conversely, an NGR approaching 0 suggests a highly balanced portfolio where out-of-the-money positions almost entirely offset the in-the-money ones. The Basel framework incorporates this ratio to acknowledge that the simultaneous close-out of all contracts under a master netting agreement would result in a single net payment, a reality the PFE calculation must reflect for accuracy and capital efficiency.

Strategy
The strategic application of the Net-to-Gross Ratio within the Basel framework centers on capital optimization. Financial institutions architect their trading and hedging strategies with a clear objective of minimizing their regulatory capital charges. A lower NGR is a direct pathway to a lower Potential Future Exposure and, by extension, a reduced capital requirement.
This creates a powerful incentive for firms to construct and manage their derivative portfolios in a way that maximizes the effectiveness of netting agreements. The choice of regulatory framework, primarily between the older Current Exposure Method (CEM) and the more recent Standardized Approach for Counterparty Credit Risk (SA-CCR), dictates the precise strategic considerations for managing the NGR.

Comparing Capital Frameworks
The CEM and SA-CCR frameworks utilize the NGR in fundamentally different ways, leading to distinct strategic priorities for financial institutions. CEM employs a relatively simple formula where the NGR directly scales a portion of the gross PFE add-on. SA-CCR, a more risk-sensitive methodology, integrates the concept of netting benefits in a more complex calculation that also considers asset class, hedging sets, and collateralization more granularly.
The strategic goal remains the same ▴ to structure portfolios to demonstrate effective risk mitigation. The tactical execution to achieve that goal shifts depending on the governing calculation architecture.
The following table outlines the key differences in how these two frameworks approach PFE and the role of netting.
| Feature | Current Exposure Method (CEM) | Standardized Approach for Counterparty Credit Risk (SA-CCR) |
|---|---|---|
| PFE Calculation | A simple calculation based on notional amounts multiplied by supervisory add-on factors. | A more complex calculation involving hedging sets, asset class volatility, and maturity factors. |
| NGR Application | The NGR is applied as a direct scalar to 60% of the gross PFE add-on. A lower NGR directly reduces the PFE. | Netting benefits are recognized through the aggregation formula within hedging sets. The NGR’s direct influence is superseded by a more integrated system. |
| Risk Sensitivity | Considered less risk-sensitive. Its simplistic approach may not fully capture the economic realities of a well-hedged portfolio. | Designed to be more risk-sensitive, better recognizing the risk-reducing effects of collateral and portfolio diversification. |
| Collateral Recognition | Limited recognition of collateral. | Enhanced recognition for both margined and unmargined trades, with a multiplier that can reduce PFE based on over-collateralization. |

What Is the Strategic Advantage of a Lower NGR?
A lower NGR provides a distinct competitive advantage by enhancing capital efficiency. Institutions that can structure their portfolios to achieve a lower NGR can operate with a smaller capital buffer for the same volume of derivative transactions. This freed-up capital can be deployed for other revenue-generating activities.
The strategy involves more than just entering into offsetting trades. It requires a sophisticated approach to portfolio management, including:
- Portfolio Compression ▴ Actively terminating economically redundant trades within a portfolio to reduce gross notional amounts without altering the net risk profile.
- Hedging Optimization ▴ Structuring hedges that are not only effective from a market risk perspective but also recognized under the relevant Basel framework to maximize netting benefits.
- Counterparty Selection ▴ Concentrating trades with a single counterparty under a master netting agreement to ensure the maximum number of positions contribute to the netting calculation.
These actions are part of a broader capital management strategy designed to align the regulatory measure of risk with the institution’s internal, economic measure of risk.

Execution
The execution of the Potential Future Exposure calculation, particularly under the Current Exposure Method (CEM), provides a clear, procedural illustration of the Net-to-Gross Ratio’s impact. The process involves a series of defined steps that translate a portfolio of derivative contracts into a single capital requirement figure. Mastering this process is essential for any institution seeking to manage its counterparty credit risk and regulatory capital with precision.
The NGR’s application within the PFE formula is a mechanical process that transforms netting efficiency into a direct reduction in required regulatory capital.

Step-By-Step PFE Calculation under CEM
The calculation of the Exposure at Default (EAD) for a netting set under CEM follows a distinct sequence. The NGR is a pivotal input in this sequence. The final EAD is the sum of the Replacement Cost (RC) and the PFE. The NGR directly modifies the PFE component.
- Calculate Replacement Cost (RC) ▴ First, determine the net market value of all contracts under the qualifying master netting agreement. The RC is this net sum, if it is positive. If the net sum is negative, the RC is zero. This is also the ‘net’ portion of the NGR calculation.
- Calculate Gross Current Exposure ▴ Sum the positive fair values of all individual contracts. This figure represents the ‘gross’ portion of the NGR calculation.
-
Determine the Net-to-Gross Ratio (NGR) ▴ Divide the RC (Net Exposure) by the Gross Current Exposure.
NGR = Net Current Exposure / Gross Current Exposure. - Calculate Gross PFE ▴ For each individual trade, multiply its notional principal amount by a supervisory add-on factor determined by its asset class and maturity. The Gross PFE is the sum of these individual PFE amounts.
-
Calculate Net PFE (Adjusted PFE) ▴ Apply the NGR to the Gross PFE using the specific formula prescribed by the Basel framework ▴
Net PFE = (0.4 Gross PFE) + (0.6 NGR Gross PFE). This formula explicitly shows that 60% of the PFE add-on is subject to a discount based on the NGR. -
Calculate Exposure at Default (EAD) ▴ The final exposure amount is the sum of the Replacement Cost and the Net PFE.
EAD = RC + Net PFE.

How Does NGR Influence the Final Capital Number?
The influence of the NGR is best demonstrated through a practical example. Consider a simple portfolio of three derivative contracts with a single counterparty under a master netting agreement.
| Contract | Notional Amount | Fair Value (Market Value) | PFE Add-On (Example) |
|---|---|---|---|
| Interest Rate Swap A | $100,000,000 | +$1,500,000 | $500,000 |
| Interest Rate Swap B | $50,000,000 | -$700,000 | $250,000 |
| FX Forward C | $20,000,000 | +$200,000 | $200,000 |
Based on this portfolio, the calculation would proceed as follows:
- Replacement Cost (RC) ▴ $1,500,000 – $700,000 + $200,000 = $1,000,000
- Gross Current Exposure ▴ $1,500,000 + $200,000 = $1,700,000
- Net-to-Gross Ratio (NGR) ▴ $1,000,000 / $1,700,000 = 0.588
- Gross PFE ▴ $500,000 + $250,000 + $200,000 = $950,000
- Net PFE ▴ (0.4 $950,000) + (0.6 0.588 $950,000) = $380,000 + $335,160 = $715,160
- Exposure at Default (EAD) ▴ $1,000,000 + $715,160 = $1,715,160
This example demonstrates the direct, mechanical impact of the NGR. Without the netting benefit captured by the ratio, the PFE component would have been the full $950,000. The NGR provides a tangible capital reduction by acknowledging the offsetting nature of the positions within the netting set.

References
- Basel Committee on Banking Supervision. “The non-internal model method for capitalising counterparty credit risk exposures.” Bank for International Settlements, June 2013.
- Federal Deposit Insurance Corporation. “Standardized Approach for Calculating the Exposure Amount of Derivative Contracts.” Federal Register, vol. 85, no. 16, 24 Jan. 2020, pp. 4364 ▴ 4387.
- Office of the Comptroller of the Currency, Treasury; Board of Governors of the Federal Reserve System; Federal Deposit Insurance Corporation. “Standardized Approach for Counterparty Credit Risk.” Federal Register, vol. 84, no. 227, 26 Nov. 2019, pp. 64660-64690.
- Sullivan & Cromwell LLP. “Bank Capital Requirements ▴ Federal Bank Regulatory Agencies Finalize Rule to Update Calculation of Counterparty Credit Risk for Derivative Contracts.” Sullivan & Cromwell LLP, 30 Oct. 2018.
- Federal Register. “Standardized Approach for Calculating the Exposure Amount of Derivative Contracts.” Federal Register, vol. 83, no. 242, 17 Dec. 2018, pp. 64660-64733.

Reflection
The analysis of the Net-to-Gross Ratio’s function within the Basel framework moves beyond a mere regulatory compliance exercise. It prompts a deeper examination of a firm’s internal risk management architecture. How effectively does your portfolio construction and hedging strategy translate into measurable capital efficiency under these regulatory frameworks? The NGR is a data point, but it reflects a much larger system of trading decisions, counterparty risk management, and legal agreements.
Viewing this ratio as an output metric of your operational framework allows for a more profound level of strategic control. The ultimate goal is the creation of a capital management system so precisely calibrated to your risk appetite and trading activity that regulatory calculations become a confirmation of your internal efficiency, not a constraint upon it. The knowledge of these mechanics provides the blueprint for building that system.

Glossary

Potential Future Exposure

Net-To-Gross Ratio

Exposure at Default

Regulatory Capital

Derivative Contracts

Gross Current

Master Netting Agreement

Basel Framework

Counterparty Credit Risk

Current Exposure Method

Pfe Add-On

Sa-Ccr

Portfolio Compression

Netting Agreement

Counterparty Credit

Current Exposure

Replacement Cost

Netting Set

Gross Current Exposure



