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3-2231

RISK-WEIGHTED ASSETS FOR GENERAL CREDIT RISK

SECTION 217.131—Mechanics for Calculating Total Wholesale and Retail Risk-Weighted Assets
(a) Overview. A Board-regulated institution must calculate its total wholesale and retail risk-weighted asset amount in four distinct phases:
(1) Phase 1—categorization of exposures;
(2) Phase 2—assignment of wholesale obligors and exposures to rating grades and segmentation of retail exposures;
(3) Phase 3—assignment of risk parameters to wholesale exposures and segments of retail exposures; and
(4) Phase 4—calculation of risk-weighted asset amounts.
(b) Phase 1—Categorization. The Board-regulated institution must determine which of its exposures are wholesale exposures, retail exposures, securitization exposures, or equity exposures. The Board-regulated institution must categorize each retail exposure as a residential mortgage exposure, a QRE, or another retail exposure. The Board-regulated institution must identify which wholesale exposures are HVCRE exposures, sovereign exposures, OTC derivative contracts, repo-style transactions, eligible margin loans, eligible purchased wholesale exposures, cleared transactions, default fund contributions, and unsettled transactions to which section 217.136 applies, and eligible guarantees or eligible credit derivatives that are used as credit risk mitigants. The Board-regulated institution must identify any on-balance sheet asset that does not meet the definition of a wholesale, retail, equity, or securitization exposure, any non-material portfolio of exposures described in paragraph (e)(4) of this section, and for bank holding companies and savings and loan holding companies, any on-balance sheet asset that is held in a non-guaranteed separate account.
(c) Phase 2—Assignment of wholesale obligors and exposures to rating grades and retail exposures to segments.
(1) Assignment of wholesale obligors and exposures to rating grades.
(i) The Board-regulated institution must assign each obligor of a wholesale exposure to a single obligor rating grade and must assign each wholesale exposure to which it does not directly assign an LGD estimate to a loss severity rating grade.
(ii) The Board-regulated institution must identify which of its wholesale obligors are in default.
(2) Segmentation of retail exposures.
(i) The Board-regulated institution must group the retail exposures in each retail subcategory into segments that have homogeneous risk characteristics.
(ii) The Board-regulated institution must identify which of its retail exposures are in default. The Board-regulated institution must segment defaulted retail exposures separately from non-defaulted retail exposures.
(iii) If the Board-regulated institution determines the EAD for eligible margin loans using the approach in section 217.132(b), the Board-regulated institution must identify which of its retail exposures are eligible margin loans for which the Board-regulated institution uses this EAD approach and must segment such eligible margin loans separately from other retail exposures.
(3) Eligible purchased wholesale exposures. A Board-regulated institution may group its eligible purchased wholesale exposures into segments that have homogeneous risk characteristics. A Board-regulated institution must use the wholesale exposure formula in Table 1 of this section to determine the risk-based capital requirement for each segment of eligible purchased wholesale exposures.
(d) Phase 3—Assignment of risk parameters to wholesale exposures and segments of retail exposures.
(1) Quantification process. Subject to the limitations in this paragraph (d), the Board-regulated institution must:
(i) Associate a PD with each wholesale obligor rating grade;
(ii) Associate an LGD with each wholesale loss severity rating grade or assign an LGD to each wholesale exposure;
(iii) Assign an EAD and M to each wholesale exposure; and
(iv) Assign a PD, LGD, and EAD to each segment of retail exposures.
(2) Floor on PD assignment. The PD for each wholesale obligor or retail segment may not be less than 0.03 percent, except for exposures to or directly and unconditionally guaranteed by a sovereign entity, the Bank for International Settlements, the International Monetary Fund, the European Commission, the European Central Bank, the European Stability Mechanism, the European Financial Stability Facility, or a multilateral development bank, to which the Board-regulated institution assigns a rating grade associated with a PD of less than 0.03 percent.
(3) Floor on LGD estimation. The LGD for each segment of residential mortgage exposures may not be less than 10 percent, except for segments of residential mortgage exposures for which all or substantially all of the principal of each exposure is either:
(i) Directly and unconditionally guaranteed by the full faith and credit of a sovereign entity; or
(ii) Guaranteed by a contingent obligation of the U.S. government or its agencies, the enforceability of which is dependent upon some affirmative action on the part of the beneficiary of the guarantee or a third party (for example, meeting servicing requirements).
(4) Eligible purchased wholesale exposures. A Board-regulated institution must assign a PD, LGD, EAD, and M to each segment of eligible purchased wholesale exposures. If the Board-regulated institution can estimate ECL (but not PD or LGD) for a segment of eligible purchased wholesale exposures, the Board-regulated institution must assume that the LGD of the segment equals 100 percent and that the PD of the segment equals ECL divided by EAD. The estimated ECL must be calculated for the exposures without regard to any assumption of recourse or guarantees from the seller or other parties.
(5) Credit risk mitigation: credit derivatives, guarantees, and collateral.
(i) A Board-regulated institution may take into account the risk reducing effects of eligible guarantees and eligible credit derivatives in support of a wholesale exposure by applying the PD substitution or LGD adjustment treatment to the exposure as provided in section 217.134 or, if applicable, applying double default treatment to the exposure as provided in section 217.135. A Board-regulated institution may decide separately for each wholesale exposure that qualifies for the double default treatment under section 217.135 whether to apply the double default treatment or to use the PD substitution or LGD adjustment treatment without recognizing double default effects.
(ii) A Board-regulated institution may take into account the risk reducing effects of guarantees and credit derivatives in support of retail exposures in a segment when quantifying the PD and LGD of the segment. In doing so, a Board-regulated institution must consider all relevant available information.
(iii) Except as provided in paragraph (d)(6) of this section, a Board-regulated institution may take into account the risk reducing effects of collateral in support of a wholesale exposure when quantifying the LGD of the exposure, and may take into account the risk reducing effects of collateral in support of retail exposures when quantifying the PD and LGD of the segment. In order to do so, a Board-regulated institution must have established internal requirements for collateral management, legal certainty, and risk management processes.
(6) EAD for OTC derivative contracts, repo-style transactions, and eligible margin loans. A Board-regulated institution must calculate its EAD for an OTC derivative contract as provided in section 217.132 (c) and (d). A Board-regulated institution may take into account the risk-reducing effects of financial collateral in support of a repo-style transaction or eligible margin loan and of any collateral in support of a repo-style transaction that is included in the Board-regulated institution’s VaR-based measure under subpart F of this part through an adjustment to EAD as provided in section 217.132(b) and (d). A Board-regulated institution that takes collateral into account through such an adjustment to EAD under section 217.132 may not reflect such collateral in LGD.
(7) Effective maturity. An exposure’s M must be no greater than five years and no less than one year, except that an exposure’s M must be no less than one day if the exposure is a trade related letter of credit, or if the exposure has an original maturity of less than one year and is not part of a Board-regulated institution’s ongoing financing of the obligor. An exposure is not part of a Board-regulated institution’s ongoing financing of the obligor if the Board-regulated institution:
(i) Has a legal and practical ability not to renew or roll over the exposure in the event of credit deterioration of the obligor;
(ii) Makes an independent credit decision at the inception of the exposure and at every renewal or roll over; and
(iii) Has no substantial commercial incentive to continue its credit relationship with the obligor in the event of credit deterioration of the obligor.
(8) EAD for exposures to certain central counterparties. A Board-regulated institution may attribute an EAD of zero to exposures that arise from the settlement of cash transactions (such as equities, fixed income, spot foreign exchange, and spot commodities) with a central counterparty where there is no assumption of ongoing counterparty credit risk by the central counterparty after settlement of the trade and associated default fund contributions.
(e) Phase 4—Calculation of risk-weighted assets.
(1) Non-defaulted exposures.
(i) A Board-regulated institution must calculate the dollar risk-based capital requirement for each of its wholesale exposures to a non-defaulted obligor (except for eligible guarantees and eligible credit derivatives that hedge another wholesale exposure, IMM exposures, cleared transactions, default fund contributions, unsettled transactions, and exposures to which the Board-regulated institution applies the double default treatment in section 217.135) and segments of non-defaulted retail exposures by inserting the assigned risk parameters for the wholesale obligor and exposure or retail segment into the appropriate risk-based capital formula specified in Table 1 and multiplying the output of the formula (K) by the EAD of the exposure or segment. Alternatively, a Board-regulated institution may apply a 300 percent risk weight to the EAD of an eligible margin loan if the Board-regulated institution is not able to meet the Board’s requirements for estimation of PD and LGD for the margin loan.
Figure 1. DISPLAY EQUATION DISPLAY EQUATION
$$ \begin{align*} \tiny &\qquad\textbf{Retail} \\ &\textbf{Capital} & &\qquad\qquad K = \Bigg[ \small{LGD} \times N \Bigg\lgroup \frac{N^{-1}(PD) + \sqrt{R} \times N^{-1} (0.999)}{\sqrt{1-R}} \Bigg\rgroup - (\small{LGD} \times \small{PD}) \Bigg]\\ & \textbf{requirement} \\ & \textbf{(K)} \\ & \textbf{non-defaulted} \\ & \textbf{exposures} \\ \\ \\ &\textbf{Correlation} & &\text{For residential mortgage exposures: R= 0.15}\\ &\textbf{factor (R)} & &\text{For qualifying revolving exposures: R= 0.04}\\ & & &\text{For other retail exposures: }R= 0.03 + 0.13\times e^{-35xPD}\\ &\textbf{Capital} & & \small{K} = \Bigg[ \small{LGD} \times N \Bigg\lgroup \frac{N^{-1}(PD) + \sqrt{R} \times N^{-1} (0.999)}{\sqrt{1-R}} \Bigg\rgroup - (\small{LGD} \times \small{PD}) \Bigg] \times \Bigg\lgroup \frac{1+ (M - 2.5) \times b}{1-1.5 \times b} \Bigg\rgroup\\ & \textbf{requirement} \\ & \textbf{(K)} \\ & \textbf{non-defaulted} \\ & \textbf{exposures} \\ \\ \\ \\&\qquad\textbf{Wholesale} \\ \\&\textbf{Correlation} & &\text{For HVCRE exposures:}\\ \\&\textbf{factor (R)} & & \qquad\qquad\qquad\qquad R = 0.12 + 0.18 \times e^{-50 \times PD}\\ \\& & &\text{For wholesale exposures to unregulated financial institutions:}\\ \\& & & \qquad\qquad\qquad\qquad R = 1.25 \times \bigg( 0.12 + 0.12 \times e^{-50 \times PD} \bigg)\\ \\& & &\text{For wholesale exposures to regulated financial institutions with total}\\ \\& & &\text{assets greater than or equal to \$100 billion:}\\ \\& & &\qquad\qquad\qquad\qquad R = 1.25 \times \bigg( 0.12 + 0.12 \times e^{-50 \times PD} \bigg)\\ \\& & &\text{For wholesale exposures other than HVCRE exposures, unregulated financial}\\ \\& & &\text{institutions, and regulated financial institutions with total assets greater}\\ \\& & &\text{than or equal to \$100 billion:}\\ \\& & & \qquad\qquad\qquad\qquad R = 0.12 + 0.12 \times e^{-50 \times PD}\\ \\ &\textbf{Maturity} & & \qquad\qquad\qquad b = \big(0.11852 - 0.05478 \times 1\mathrm{n}(PD)\big)^2\\ &\textbf{adjustment (b)} \\ \end{align*} $$
(ii) The sum of all the dollar risk-based capital requirements for each wholesale exposure to a non-defaulted obligor and segment of non-defaulted retail exposures calculated in paragraph (e)(1)(i) of this section and in section 217.135(e) equals the total dollar risk-based capital requirement for those exposures and segments.
(iii) The aggregate risk-weighted asset amount for wholesale exposures to non-defaulted obligors and segments of non-defaulted retail exposures equals the total dollar risk-based capital requirement in paragraph (e)(1)(ii) of this section multiplied by 12.5.
(2) Wholesale exposures to defaulted obligors and segments of defaulted retail exposures.
(i) Not covered by an eligible U.S. government guarantee: The dollar risk-based capital requirement for each wholesale exposure not covered by an eligible guarantee from the U.S. government to a defaulted obligor and each segment of defaulted retail exposures not covered by an eligible guarantee from the U.S. government equals 0.08 multiplied by the EAD of the exposure or segment.
(ii) Covered by an eligible U.S. government guarantee: The dollar risk-based capital requirement for each wholesale exposure to a defaulted obligor covered by an eligible guarantee from the U.S. government and each segment of defaulted retail exposures covered by an eligible guarantee from the U.S. government equals the sum of:
(A) The sum of the EAD of the portion of each wholesale exposure to a defaulted obligor covered by an eligible guarantee from the U.S. government plus the EAD of the portion of each segment of defaulted retail exposures that is covered by an eligible guarantee from the U.S. government and the resulting sum is multiplied by 0.016, and
(B) The sum of the EAD of the portion of each wholesale exposure to a defaulted obligor not covered by an eligible guarantee from the U.S. government plus the EAD of the portion of each segment of defaulted retail exposures that is not covered by an eligible guarantee from the U.S. government and the resulting sum is multiplied by 0.08.
(iii) The sum of all the dollar risk-based capital requirements for each wholesale exposure to a defaulted obligor and each segment of defaulted retail exposures calculated in paragraph (e)(2)(i) of this section plus the dollar risk-based capital requirements each wholesale exposure to a defaulted obligor and for each segment of defaulted retail exposures calculated in paragraph (e)(2)(ii) of this section equals the total dollar risk-based capital requirement for those exposures and segments.
(iv) The aggregate risk-weighted asset amount for wholesale exposures to defaulted obligors and segments of defaulted retail exposures equals the total dollar risk-based capital requirement calculated in paragraph (e)(2)(iii) of this section multiplied by 12.5.
(3) Assets not included in a defined exposure category.
(i) A bank holding company or savings and loan holding company may assign a risk-weighted asset amount of zero to cash owned and held in all offices of subsidiary depository institutions or in transit; and for gold bullion held in a subsidiary depository institution’s own vaults, or held in another depository institution’s vaults on an allocated basis, to the extent the gold bullion assets are offset by gold bullion liabilities.
(ii) A state member bank may assign a risk-weighted asset amount to cash owned and held in all offices of the state member bank or in transit and for gold bullion held in the state member bank’s own vaults, or held in another depository institution’s vaults on an allocated basis, to the extent the gold bullion assets are offset by gold bullion liabilities.
(iii) A Board-regulated institution must assign a risk-weighted asset amount equal to 50 percent of the carrying value to a pre-sold construction loan unless the purchase contract is cancelled, in which case a Board-regulated institution must assign a risk-weighted asset amount equal to a 100 percent of the carrying value of the pre-sold construction loan.
(iv) The risk-weighted asset amount for the residual value of a retail lease exposure equals such residual value.
(v) The risk-weighted asset amount for DTAs arising from temporary differences that the Board-regulated institution could realize through net operating loss carrybacks equals the carrying value, netted in accordance with section 217.22.
(vi) The risk-weighted asset amount for MSAs, DTAs arising from temporary timing differences that the Board-regulated institution could not realize through net operating loss carrybacks, and significant investments in the capital of unconsolidated financial institutions in the form of common stock that are not deducted pursuant to section 217.22(a)(7) equals the amount not subject to deduction multiplied by 250 percent.
(vii) The risk-weighted asset amount for any other on-balance-sheet asset that does not meet the definition of a wholesale, retail, securitization, IMM, or equity exposure, cleared transaction, or default fund contribution and is not subject to deduction under section 217.22(a), (c), or (d) equals the carrying value of the asset.
(viii) The risk-weighted asset amount for a Paycheck Protection Program covered loan as defined in section 7(a)(36) of the Small Business Act (15 U.S.C. 636(a)(36)) equals zero.
(4) Non-material portfolios of exposures. The risk-weighted asset amount of a portfolio of exposures for which the Board-regulated institution has demonstrated to the Board’s satisfaction that the portfolio (when combined with all other portfolios of exposures that the Board-regulated institution seeks to treat under this paragraph (e)) is not material to the Board-regulated institution is the sum of the carrying values of on-balance sheet exposures plus the notional amounts of off-balance sheet exposures in the portfolio. For purposes of this paragraph (e)(4), the notional amount of an OTC derivative contract that is not a credit derivative is the EAD of the derivative as calculated in section 217.132.
(5) Assets held in non-guaranteed separate accounts. The risk-weighted asset amount for an on-balance sheet asset that is held in a non-guaranteed separate account is zero percent of the carrying value of the asset.

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