2024-06-26
The Reserve Bank of New Zealand issued BPR140 to mandate the methodology all registered banks must use to calculate their total capital requirement for market risk exposure. This framework applies to both standardised and IRB banks, requiring them to compute aggregate capital charges for interest rate, currency, and equity risks to ensure compliance with minimum regulatory capital ratios. The document details specific calculation steps, including the treatment of derivatives, exclusion of matched positions, and allocation of instruments to time bands, while explicitly excluding internal model options and commodity risk.
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BPR140 Market Risk Purpose of document This document sets out the methodology a bank must use to calculate its total capital requirement for market risk exposure. The market risk capital requirement is a component in the calculation of capital ratios, as defined in BPR100, which a bank must carry out to determine its compliance with minimum regulatory capital requirements. This document applies to both standardised and IRB banks. Banking Prudential Requirements July 2024
BPR140 1 Document version history 1 July 2021 First issue date 1 October 2021 Revised edition with minor edits 1 July 2024 Revised for minor correction Conditions of registration The Banking (Prudential Supervision) Act 1989 (the Act) permits the Reserve Bank to impose conditions of registration (conditions) on registered banks1 . This document BPR140: Market Risk forms part of the requirements for the following conditions:* A New Zealand-incorporated registered bank is normally subject to a condition requiring it to maintain capital ratios above specified minimum levels, and also to a condition imposing restrictions on its dividend payments when its prudential capital buffer ratio falls below specified levels2 . This document sets out the calculation framework for market risk capital requirements that will be needed by such a bank to allow it to calculate its day-to-day values for the capital ratios and the capital buffer ratio, and hence monitor its compliance with these capital adequacy conditions.
1 The conditions can relate to any of the matters referred to in sections 73 – 73B, 78 and 81. The standard conditions are contained in Appendix 1 of document BS1: Statement of Principles.g 2 These conditions of registration relate to the matter referred to in: section 78(1)(c) (capital in relation to the size and nature of the business).
BPR140 2 BPR140: Market Risk Part A: Capital requirement for market risk Part B: Capital requirement for interest rate risk Part C: Capital requirement for currency risk Part D: Capital requirement for equity risk Contents Part A: Capital requirement for market risk A1 Overview, definitions, and general requirements A1.1 Overview A1.2 Scope of market risk capital requirement A1.3 Definitions A2 Calculation of total capital for market risk A2.1 Total capital charge for market risk Part B: Capital requirement for interest rate risk B1 Overview B1.1 Aggregate capital charge for interest rate risk B1.2 Steps in the calculation of interest rate exposure in each currency B1.3 Scope and valuation B1.4 Treatment of derivatives other than options B1.5 Treatment of interest rate risk on options B2 Exclusion of matched positions B2.1 Criteria for exclusion B2.2 Futures B2.3 Swaps and forward rate agreements B2.4 Forwards B3 Allocating instruments to time bands B3.1 Use of interest rate repricing schedules B3.2 Determination of rate-insensitive products (RIPs) B3.3 Time bands for rate-insensitive products B3.4 Interest rate repricing bands for ratesensitive instruments B3.5 Principles for allocating financial instruments to time bands B4 Directional interest rate risk in each currency B4.1 Calculation of net open interest rate exposure (directional interest rate risk) B5 Basis risk in each currency B5.1 Calculation of basis risk exposure B5.2 Calculation of basis risk in each time band B5.3 Basis risk to have same sign as directional interest rate risk B6 Yield curve risk in each currency B6.1 Yield curve risk: horizontal disallowance in single currency B6.2 Calculation of amount of within-zone disallowance B6.3 Order of calculation of across-zone disallowances B6.4 Zone 1/Zone 2 disallowance B6.5 Zone 2/Zone 3 disallowance B6.6 Zone 1/Zone 3 disallowance Part C: Capital requirement for currency risk C1 Aggregate capital charge for currency risk C1.1 Capital requirement for currency risk C1.2 Scope of currency risk calculation
BPR140 3 C1.3 Valuation of financial instruments for currency risk capital requirement Part D: Capital requirement for equity risk D1 Aggregate capital charge for equity risk D1.1 Capital requirement for equity risk D1.2 Scope of equity risk calculation D1.3 Valuation of equity instruments
BPR140 4 Part A: Capital requirement for market risk A1 Overview, definitions, and general requirements A1.1 Overview
BPR140 5 Guidance: The values of fixed assets are influenced by movements in interest rates, exchange rates, and equity prices, but are not included in the framework, because of a desire to reduce complexity, and because fixed assets are generally not an important component of banks’ asset holdings. Similarly, commodity risk (that is, economic losses arising from adverse movements in the price of commodity instruments) is not included in the market risk measurement framework, because registered banks in New Zealand generally do not have significant exposures to commodity risk. Guidance: Equity instruments representing the shareholders’ equity of the banking group are excluded from the market risk framework, since the potential for change in the value of these instruments due to market risk mirrors the potential for losses captured by the market risk capital requirements (because equity represents the difference between assets and liabilities). A bank’s own equity represents its capacity to absorb losses arising from market risk exposures. 3. The framework captures end-of-day exposures only. Guidance: This means that market risk exposures which arise in the course of a business day (intra-day exposures) are not covered. The market risk capital methodology provided in this document is based on the Basel Committee’s standardised approach set out in its January 1996 document Amendment to the Capital Accord to Incorporate Market Risks https://www.bis.org/publ/bcbs24.pdf (“BCBS24”) and in its December 2019 version, https://www.bis.org/basel_framework/chapter/MAR/20.htm?inforce=20191215& published=20191215 (“MAR20”). Key differences between the Basel’s approach and the Reserve Bank’s approach are – The Reserve Bank does not give registered banks the option of becoming approved to use their own internal models for market risk, as provided for in the Basel approach. The Reserve Bank’s approach does not include commodity risk. The Basel approach only covers interest rate risk in a bank’s trading book, whereas the Reserve Bank approach measures interest rate risk across the whole of a bank’s business. A1.3 Definitions In this Part, core rate-insensitive asset means a rate-insensitive asset, or part thereof, the amount of which does not temporarily increase and decrease with a regular seasonal pattern, and core rate-insensitive liability has the corresponding meaning
BPR140 6 core rate-insensitive product means either or both of a core rate-insensitive asset or a core rate-insensitive liability interest rate repricing date, as that term applies to a financial instrument or to a part of a financial instrument, means the earlier of– a. the next interest rate reset date (being the date on which the rate of interest payable in respect of the financial instrument can or will alter); and b. either– i. the date on which the principal sum is due and payable; or ii. if no principal sum is due and payable, the maturity date of the instrument rate-insensitive asset means a financial asset, or part thereof, that the bank determines to be a rate-insensitive asset in accordance with section B3.2(1), and rate-insensitive liability has the corresponding meaning rate-insensitive product means either or both of a rate-insensitive asset or a rateinsensitive liability. seasonal rate-insensitive asset means a rate-insensitive asset the amount of which temporarily increases and decreases with a regular seasonal pattern, and seasonal rateinsensitive liability has the corresponding meaning seasonal rate-insensitive product means either or both of a seasonal rate-insensitive liability or a seasonal rate-insensitive liability. A2 Calculation of total capital for market risk A2.1 Total capital charge for market risk The total capital charge for market risk is the sum of– a. the aggregate capital charge for interest rate risk, calculated in accordance with Part B; and b. the aggregate capital charge for currency risk, calculated in accordance with Part C; and c. the aggregate capital charge for equity risk, calculated in accordance with Part D. Guidance: The methodology for interest rate risk directly produces a figure for the amount of capital at risk from interest rate exposure, and this is the capital charge. The capital charges for currency risk and equity risk are determined by first calculating the gross risk exposure and then multiplying that amount by 8%. This ensures that the measures of exposure to different forms of market risk are placed on a comparable scale: that is, the value at risk.
BPR140 7 Part B: Capital requirement for interest rate risk B1 Overview B1.1 Aggregate capital charge for interest rate risk The aggregate capital charge for interest rate risk is calculated by– a. calculating the total interest rate exposure in each currency, including NZD, in which the bank has interest rate exposure, following the methodology set out in Subparts B2 to B6; then b. summing the interest rate exposure figures across all currencies for which the figure calculated in accordance with subsection (a) is positive; then c. summing the interest rate exposure figures across all currencies for which the figure calculated in accordance with subsection (a) is negative; and d. taking the greater of the sum in subsection (b) and the absolute value of the sum in subsection (c). Guidance: This aggregation rule accounts, at least in part, for correlations in interest rate movements across currencies, and is less conservative than the standard Basel model which requires the aggregation of the absolute positions across currencies. B1.2 Steps in the calculation of interest rate exposure in each currency To calculate the interest rate exposure in each currency a bank must– a. in accordance with subpart B2, determine which matched long and short positions can be excluded from the exposure measurement; and b. in accordance with subpart B3, for each instrument that is not excluded under subsection (a), – i. allocate the value of the instrument to the specified time band in the currency in which the instrument is denominated; or ii. where applicable, allocate portions of the value of the instrument to more than one of the specified time bands, and where also applicable, to more than one currency; and Guidance: For example, a cross-currency interest rate swap is treated as separate asset and liability positions in the respective currencies (see section B1.4). c. using the amounts allocated across time bands and currencies under subsection (b), calculate total interest rate exposure in each currency as the sum of– i. the net open interest rate risk position (directional interest rate risk), calculated as the sum of all asset values (positive) and liability values (negative)
BPR140 8 in the currency, risk-weighted according to where they sit in the repricing schedule, as detailed in subpart B4; and ii. the basis risk exposure within each time band for the currency, using the vertical disallowance methodology specified in subpart B5; and iii. the yield curve risk exposure for the currency, using the methodology of horizontal disallowance across time bands specified in subpart B6. Guidance: The net open position in each currency may be a positive or negative number, and the calculations of exposure to basis risk and yield curve risk includes a step to give each of those measures the same sign as the net open position in the currency. This means that there is no offsetting between directional interest rate risk, basis risk and yield curve risk, and the aggregate for each currency may be positive or negative. B1.3 Scope and valuation
BPR140 9 Appendix 1 contains an example which illustrates the methodology for the interest rate risk capital calculation set out in Part B. B1.4 Treatment of derivatives other than options
BPR140 10 agreements, other forward contracts, bond futures, interest rate and crosscurrency swaps and forward foreign exchange positions). For options and any instruments with optionality (e.g., barrier options), banks should have regard to B1.5 Treatment of interest rate risk on options in this document. The Reserve Bank does not give registered banks the option of becoming approved to use their own internal models for market risk, as provided for in the Basel approach. B1.5 Treatment of interest rate risk on options A bank may either– a. separately determine the interest rate risk in a single currency arising from options using its own methodology and add this risk to the total interest rate risk in that currency; or b. use one of the methods for measuring risk on options contained in the Basel Committee’s January 1996 document Amendment to the Capital Accord to Incorporate Market Risks https://www.bis.org/publ/bcbs24.pdf, and incorporate that measure of risk on interest rate options into its calculation of total interest rate risk in accordance with the chosen methodology. Guidance: Banks that trade significantly in options should use the Basel “deltaplus method” to capture gamma and vega risks. B2 Exclusion of matched positions B2.1 Criteria for exclusion A bank may exclude a matched long and short position from the calculation of the capital charge for interest rate risk in this Part if the matched position– a. relates to financial instruments with the same issuer, coupon, currency, and maturity; or b. is– i. of a kind referred to in section B2.2, B2.3, or B2.4, as the case may be; and ii. meets the conditions specified in whichever of those sections applies. B2.2 Futures A bank may exclude a matched position in futures from the calculation if the underlying financial instruments to which the futures relate– a. are for the same product; and b. have the same value or notional value; and
BPR140 11 c. are denominated in the same currency; and d. mature within seven days of each other. B2.3 Swaps and forward rate agreements A bank may exclude a matched position in swaps (including separate legs of different swaps) or forward rate agreements from the calculation if the underlying financial instruments to which the swaps or forward rate agreements relate– a. are for the same product; and b. have the same value or notional value; and c. are denominated in the same currency; and d. have reference rates (for floating rate positions) that are identical; and e. have coupons that are either– i. identical; or ii. do not differ by more than 15 basis points; and f. have future interest rate repricing dates that differ by no more than the limit specified in column 2 of Table B2.3, in the row corresponding to the shortest time that any of the instruments has until its next repricing date specified in column 1. Table B2.3 Swaps and forward rate agreements Shortest time to next repricing date of any of the instruments Maximum permitted gap between next repricing date of all instruments one month or less on the same day as each other more than one month and less than one year within seven days of each other one year or more within thirty days of each other B2.4 Forwards A bank may exclude a matched position in forwards from the calculation if the underlying financial instruments to which the forwards relate– a. are for the same product; and b. have the same value or notional value; and c. are denominated in the same currency; and d. have maturity dates that differ by no more than the limit specified in column 2 of Table B2.4, in the row corresponding to the shortest residual time to maturity of any of the instruments specified in column 1.
BPR140 12 Table B2.4 Forwards Shortest residual time to maturity of any of the matched instruments Maximum permitted gap between maturity dates of all the matched instruments one month or less on the same day as each other more than one month and less than one year within seven days of each other one year or more within thirty days of each other B3 Allocating instruments to time bands B3.1 Use of interest rate repricing schedules
BPR140 13 more than one year, or expected variations in RIPs arising from future marketing strategies or technological change, are not seasonal variations. 3. Any asset or liability (or part thereof) that the bank has determined to be an RIP but not a seasonal RIP must be treated as a core RIP. B3.3 Time bands for rate-insensitive products
BPR140 14 B3.4 Interest rate repricing bands for rate-sensitive instruments For any financial instrument not excluded from the interest rate risk calculation in accordance with subpart B2, and not a rate-insensitive product, a bank must allocate the value of the instrument, or a proportion of it, to one of the time bands specified in Table B3.4– a. in a manner that reflects the date on which the interest rate applicable to the financial instrument, or part of the financial instrument, can be reset, or the date at which the principal, or a part of the principal, will be paid; and b. following the principles set out in section B3.5. Table B3.4 Interest repricing time bands 1 month or less more than 1 month but not more than 3 months more than 3 months but not more than 6 months more than 6 months but not more than 1 year more than 1 year but not more than 2 years more than 2 years but not more than 3 years more than 3 years but not more than 4 years more than 4 years but not more than 5 years more than 5 years but not more than 7 years more than 7 years but not more than 10 years more than 10 years B3.5 Principles for allocating financial instruments to time bands
BPR140 15 c. subject to subsection (d), the time band for an asset that is not impaired should generally be determined by its contractual repricing date or residual maturity, whichever is the earlier; and d. despite subsection (c), if a bank has an element of discretion in applying interest rate changes to an asset, it can make its own judgement about the effect that any lag in adjusting the interest rate has on the time band for the asset; and e. a bank should not generally take embedded options into account, except that if a bank has hedged an embedded option, it may treat the overall hedged position as the contractual position; and f. a bank should treat term deposits and other term liabilities (other than those that are rate-insensitive) according to their contractual term. 3. If a bank’s systems allocate financial instruments to a different set of time bands than those specified in Table B3.4, it may use its own systems and re-allocate instruments to the time bands in that table on a pro-rata basis. 4. If a bank has a near-hedge arrangement, whereby an asset and liability are in adjacent time bands in Table B3.4 and their repricing dates are at most seven days apart, it may allocate the asset and liability to the same time band by carrying whichever of the two is in the nearer timeband forward to the longer time-band. 5. A bank may allocate financial instruments to the above time bands after adjusting the actual duration of the instrument using the assumed change in interest rates shown in Table 4.1. B4 Directional interest rate risk in each currency B4.1 Calculation of net open interest rate exposure (directional interest rate risk)
BPR140 16 rates. The result of this is that the risk-weighted net open position estimates the change in a bank’s net financial assets for the assumed change in interest rates. As the net asset/liability position in each time band can be positive or negative, the net open interest rate exposure can also be positive or negative. Table B4.1 Risk weights for applicable time bands Time bands Assumed interest rate changes (%) Risk weights (%) 1 month or less 1.0 0 more than 1 month but not more than 3 months 1.0 0.2 more than 3 months but not more than 6 months 1.0 0.4 more than 6 months but not more than 1 year 1.0 0.7 more than 1 year but not more than 2 years 0.9 1.25 more than 2 years but not more than 3 years 0.8 1.75 more than 3 years but not more than 4 years 0.75 2.25 more than 4 years but not more than 5 years 0.75 2.75 more than 5 years but not more than 7 years 0.7 3.25 more than 7 years but not more than 10 years 0.65 3.75 more than 10 years 0.6 4.4 B5 Basis risk in each currency B5.1 Calculation of basis risk exposure
BPR140 17 a. the matched position, defined as the lesser of the sum of the absolute values of the financial assets in the time band, and the sum of the absolute values of the financial liabilities in the time band; and Guidance: This corresponds to the amount that is netted off in calculating the net open position for the time band in subsection B4.1(1). b. the absolute value of the rate-insensitive products, defined as the sum of the absolute values of the rate-insensitive assets in the time band, and the absolute values of the rate-insensitive liabilities in that time band. 3. The vertical disallowance amount for the time band is calculated by multiplying the risk weight for the time band from Table B4.1 by the sum of the following: a. 20% x the absolute value of rate-insensitive products; and b. zero, or 5% x (the matched position less the absolute value of the rate-insensitive products), whichever is greater. Guidance: The measure of directional interest rate risk calculated in subpart B4 matches off assets and liabilities in each time band to leave only the net open interest rate exposure. The calculation in this subpart accounts for the possibility that interest rate movements may not be perfectly matched, even for similar maturities, because of basis risk. Hence the calculation “disallows” a portion of the matching from subpart B4. The disallowance factor is significantly higher for rate-insensitive products, since they are by definition unlikely to change value much when interest rates generally change. B5.3 Basis risk to have same sign as directional interest rate risk If the net open interest rate exposure number calculated in Subpart B4 is negative, the measure of basis risk calculated in sections B5.1 and B5.2 must be given a negative sign. Guidance: The figures calculated in sections B5.1 and B5.2 are always positive, but basis risk should not offset the directional interest rate risk in a given currency. Hence, the basis risk measure in a currency must be given the same sign as the net open interest exposure calculated for that currency. B6 Yield curve risk in each currency B6.1 Yield curve risk: horizontal disallowance in single currency
BPR140 18 Table B6.1 Time zones Time bands (from Table B4.1) Time zone 1 month or less zone 1 more than 1 month but not more than 3 months more than 3 months but not more than 6 months more than 6 months but not more than 1 year more than 1 year but not more than 2 years zone 2 more than 2 years but not more than 3 years more than 3 years but not more than 4 years more than 4 years but not more than 5 years more than 5 years but not more than 7 years zone 3 more than 7 years but not more than 10 years more than 10 years 3. The total horizontal disallowance in a single currency is calculated by– a. summing the within-zone disallowances calculated for each of the three time zones in accordance with section B6.2 and the across-zone disallowances for each of the three pairs of time zones calculated in accordance with sections B6.4 to B6.6; then b. giving the total calculated in subsection (a) the same sign (positive or negative) as the bank's directional interest rate risk in the currency calculated in accordance with section B4.1. Guidance: The measure of interest rate risk in a single currency needs to be adjusted to account for yield curve risk, that is, imperfect correlation in interest rates across different time horizons. The measure of directional interest rate risk calculated in subpart B4 adds the net positive and negative positions across time bands. The implied assumption in fully offsetting these amounts is that interest rate movements in each of the time bands are perfectly correlated with each other: that is, a constant yield curve shift. The treatment in this subpart accounts for yield curve risk by disallowing a portion of those offset amounts. The method calculates standard horizontal disallowances.
BPR140 19 The proportion of the offset which is added back varies according to the proximity of the time bands to one another. The further apart the time bands, the greater the add-on arising from imperfect correlation along the yield curve. A within-zone horizontal disallowance is calculated for each of the three time zones to account for divergent yield curve movements across the time bands within that time zone. An across-zone horizontal disallowance is calculated between Zones 1 and 2, Zones 2 and 3, and Zones 1 and 3, to account for divergent yield curve movements across time zones. The total calculated in this way is given the same sign as the directional interest rate risk position, which can be a net long (positive) or net short (negative) position in a given currency. This is to ensure that yield curve risk always increases the absolute value of the interest rate risk in each currency. B6.2 Calculation of amount of within-zone disallowance
BPR140 20 6. The amount of within-zone disallowance in a time zone is the value of the risk-weighted matched position in that time zone calculated in subsection (4), multiplied by the disallowance factor for that time zone specified in Table B6.2. Table B6.2 Within-zone disallowances Time zone Disallowance factor zone 1 40% zone 2 30% zone 3 30% B6.3 Order of calculation of across-zone disallowances
BPR140 21 and the Zone 1/Zone 2 across-zone horizontal disallowance is the matched position multiplied by the applicable disallowance factor from Table B6.3. 3. The Zone 1 net residual position is calculated by taking the difference between the absolute value of the Zone 1 residual position and the Zone 1/Zone 2 matched position, and giving the answer a minus sign if the Zone 1 residual position is a short position (negative number). 4. The Zone 2 net residual position is calculated by taking the difference between the absolute value of the Zone 2 residual position and the matched position between time zones 1 and 2, and giving the answer a minus sign if the Zone 2 residual position is a short position (negative number). Guidance: The Zone 1 and 2 net residual positions are the amounts left over after matching between Zones 1 and 2, and are carried forward for the Zone 2/3 and Zone 1/3 disallowance calculations. B6.5 Zone 2/Zone 3 disallowance
BPR140 22 Part C: Capital requirement for currency risk C1 Aggregate capital charge for currency risk C1.1 Capital requirement for currency risk
BPR140 23 Guidance: This covers foreign currency transactions not recorded or disclosed under conventional double-entry accounting procedures, but which entail an identifiable foreign currency commitment. Gross amounts of outstanding sale and purchase contracts must be included. The risks subject to BPR140 include foreign exchange risk throughout the bank, regardless of whether it is allocated to its trading book or its banking book, or is on-balance sheet or off-balance sheet. For example, an off-balance sheet contingent liability (e.g., a guarantee or similar instrument) in foreign currency that is certain to be called and is likely to be irrecoverable should be included in the calculation for the exposure to currency risk in a single foreign currency. 4. For the purposes of subsection (3)(b), unrecognised financial instruments include– a. undelivered spot purchases/sales; and Guidance: For the purpose of this methodology, a spot transaction is defined as one contracted for receipt or delivery within two business days from the calculation date. An undelivered spot transaction is an outstanding spot contract written but not delivered. This also includes forwards due to be delivered “within spot”, all undelivered legs of “less than spot” swaps, and the undelivered “spot” legs of spot/forward swaps. b. forward purchases/sales; and Guidance: A forward transaction is defined as one contracted for receipt or delivery beyond two business days from report date. Forward purchases/sales refer to the gross amount of outstanding forwards, other than those to be delivered “within spot”. These instruments also include both legs of forward/forward swaps and outstanding forward legs of spot/forward swaps. c. futures/options contracts. Guidance: This refers to all foreign currency futures and options contracts outstanding at the calculation date. C1.3 Valuation of financial instruments for currency risk capital requirement
BPR140 24 updated in line with the current market valuation of corresponding instruments if applicable, and expressed in NZD. 5. Despite subsections (1) to (4), if a bank has the capacity to value financial instruments on a present value basis, it may do so for the purposes of calculating its exposure to currency risk in a given currency. 6. To obtain the NZD value of a financial instrument for the currency risk calculation, the valuation of the instrument in its currency of denomination must be converted to NZD at the mid-point of market bid and offer rates applying at the close of business on the relevant day.
BPR140 25 Part D: Capital requirement for equity risk D1 Aggregate capital charge for equity risk D1.1 Capital requirement for equity risk
BPR140 26 e. equity futures; and f. equity swaps (treated as two notional positions in the same manner as currency swaps); and g. equity options. D1.3 Valuation of equity instruments
BPR140 27 Appendix 1 Interest rate risk calculation example This appendix illustrates step by step the methodology for the interest rate risk capital calculation set out in Part B.
BPR140 28 ▪ Bond issued by a MDB listed in C2.4 of BPR131, NZD75million market value, residual maturity two months, coupon 7% ▪ Interest rate swap, NZD150millions, the bank receives floating rate interest and pays fixed, next interest fixing after 9 months, residual life of swap 8 years ▪ Long position in interest rate futures, NZD50millions, delivery date after 6 months, life of underlying government security 3.5 years Please refer to the corresponding column numbers, 1) to 21), in this spreadsheet workbook. A workbook with formula behind can be provided upon a request.
Zone 3 Time bands Zones Zone 1 Zone 2
BPR140 29 𝑁𝐸𝑥 𝑡𝑜𝑡𝑎𝑙 = ∑ (𝑁𝐴𝑡 + 𝑁𝐿𝑡 ) 𝑡 In the worked example, the net open interest rate risk exposure is -1.27. Basis risk exposure 4) The matched position in a time band t (𝑀𝑃𝑡 ) is calculated according to B5.2(2)(a). 𝑀𝑃𝑡 = Min (∑|𝐴𝑖,𝑡 | 𝑖 ,∑|𝐿𝑖,𝑡 | 𝑖 ) In the worked example, the matched position in the time-band 7-10 years is 13.3. 5) The absolute value of the rate-insensitive products in a time band t (𝑅𝐼𝑃𝑡 ) is calculated according to B5.2(2)(b). Please note that rate-insensitive products are a subset of asset (or liability). 𝑅𝐼𝑃𝑡 = ∑ |𝑅𝐼𝐴𝑛,𝑡 | 𝑛
BPR140 30 𝑅𝑤𝐴𝑧 ≡ Aggregate risk-weighted long positions in a time zone z 𝑅𝑤𝐿𝑧 ≡ Aggregate risk-weighted short positions in a time zone z In the worked example, the aggregate risk-weighted long and short positions in Zone 1 are 1.29 and -0.20, respectively. 9) The risk-weighted matched position in a time zone z (𝑀𝑃𝑧 𝑤𝑖𝑡ℎ𝑖𝑛) is calculated in accordance with B6.2(4). 𝑀𝑃𝑧 𝑤𝑖𝑡ℎ𝑖𝑛 = Min(|𝑅𝑤𝐴𝑧 |,|𝑅𝑤𝐿𝑧 |) In the worked example, the risk-weighted matched position in Zone 1 is 0.20. 10) Within-zone disallowance in a time zone z (𝐷𝐴𝑧 𝑤𝑖𝑡ℎ𝑖𝑛) is calculated according to B6.2(6) using the disallowance factor specified in TableB6.2. 𝐷𝐴𝑧 𝑤𝑖𝑡ℎ𝑖𝑛 = 𝑟𝑤𝑧 𝑤𝑖𝑡ℎ𝑖𝑛 × 𝑀𝑃𝑧 𝑤𝑖𝑡ℎ𝑖𝑛 Subject to: 𝑟𝑤𝑧 𝑤𝑖𝑡ℎ𝑖𝑛 ≡ Disallowance factor for Zone z divided by 100 In the worked example, the within-zone disallowance in Zone 1 is 0.08. 11) A within-zone residual position in a time zone z (𝑅𝑃𝑧 𝑤𝑖𝑡ℎ𝑖𝑛) is calculated according to B6.2(5). This will be used to calculate the across-zone disallowances at the next stage. 𝑅𝑃𝑧 𝑤𝑖𝑡ℎ𝑖𝑛 = 𝑅𝑤𝐴𝑧 + 𝑅𝑤𝐿𝑧 In the worked example, the within-zone residual position in Zone 1 is 1.09. Zone 1/2 disallowance 12) Zone 1/ Zone 2 matched position (𝑀𝑃𝑧1,2 𝑎𝑐𝑟𝑜𝑠𝑠) is calculated in accordance with B6.4(1) and (2). 𝑀𝑃𝑧1,2 𝑎𝑐𝑟𝑜𝑠𝑠 = { 0 𝑓𝑜𝑟 𝑅𝑃𝑧1 𝑤𝑖𝑡ℎ𝑖𝑛 × 𝑅𝑃𝑧2 𝑤𝑖𝑡ℎ𝑖𝑛 > 0 min{|𝑅𝑃𝑧1 𝑤𝑖𝑡ℎ𝑖𝑛|,|𝑅𝑃𝑧2 𝑤𝑖𝑡ℎ𝑖𝑛|} 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒 In the worked example, Zone 1/ Zone 2 matched position is 0. 13) Zone 1/Zone 2 across-zone horizontal disallowance (𝐷𝐴𝑧1,2 𝑎𝑐𝑟𝑜𝑠𝑠) is calculated in accordance with B6.4(2) using an applicable disallowance factor in TableB6.3. 𝐷𝐴𝑧1,2 𝑎𝑐𝑟𝑜𝑠𝑠 = 𝑟𝑤𝑧1,2 𝑎𝑐𝑟𝑜𝑠𝑠 × 𝑀𝑃𝑧1,2 𝑎𝑐𝑟𝑜𝑠𝑠 Subject to: 𝑟𝑤𝑧1,2 𝑎𝑐𝑟𝑜𝑠𝑠 ≡ Disallowance factor for Zone 1 and 2 divided by 100 In the worked example, Zone 1/Zone 2 across-zone horizontal disallowance is 0. 14) Zone 1 net residual position is calculated in accordance with B6.4(3). 𝑁𝑅𝑃𝑧1 = { (−1) × (|𝑅𝑃𝑧1 𝑤𝑖𝑡ℎ𝑖𝑛| − 𝑀𝑃𝑧1,2 𝑎𝑐𝑟𝑜𝑠𝑠) 𝑓𝑜𝑟 𝑅𝑃𝑧1 𝑤𝑖𝑡ℎ𝑖𝑛 < 0 |𝑅𝑃𝑧1 𝑤𝑖𝑡ℎ𝑖𝑛| − 𝑀𝑃𝑧1,2 𝑎𝑐𝑟𝑜𝑠𝑠 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒 In the worked example, Zone 1 net residual position is 1.09.
BPR140 31 15) Zone 2 net residual position is calculated in accordance with B6.4(4). 𝑁𝑅𝑃𝑧2 = { (−1) × (|𝑅𝑃𝑧2 𝑤𝑖𝑡ℎ𝑖𝑛| − 𝑀𝑃𝑧1,2 𝑎𝑐𝑟𝑜𝑠𝑠) 𝑓𝑜𝑟 𝑅𝑃𝑧2 𝑤𝑖𝑡ℎ𝑖𝑛 < 0 |𝑅𝑃𝑧2 𝑤𝑖𝑡ℎ𝑖𝑛| − 𝑀𝑃𝑧1,2 𝑎𝑐𝑟𝑜𝑠𝑠 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒 In the worked example, Zone 2 net residual position is 2.45. Zone 2/3 disallowance 16) Zone 2/ Zone 3 matched position is calculated in accordance with B6.5(1) and (2). 𝑀𝑃𝑧2,3 𝑎𝑐𝑟𝑜𝑠𝑠 = { 0 𝑓𝑜𝑟 𝑅𝑃𝑧3 𝑤𝑖𝑡ℎ𝑖𝑛 × 𝑁𝑅𝑃𝑧2 > 0 min{|𝑅𝑃𝑧3 𝑤𝑖𝑡ℎ𝑖𝑛|,|𝑁𝑅𝑃𝑧2 |} 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒 Subject to: 𝑀𝑃𝑧2,3 𝑎𝑐𝑟𝑜𝑠𝑠 ≡ Zone 2/ Zone 3 matched position In the worked example, Zone 2/ Zone 3 matched position is 2.45. 17) Zone 2/Zone 3 across-zone horizontal disallowance (𝐷𝐴𝑧2,3 𝑎𝑐𝑟𝑜𝑠𝑠) is calculated in accordance with B6.5(3) using an applicable disallowance factor in TableB6.3. 𝐷𝐴𝑧2,3 𝑎𝑐𝑟𝑜𝑠𝑠 = 𝑟𝑤𝑧2,3 𝑎𝑐𝑟𝑜𝑠𝑠 × 𝑀𝑃𝑧2,3 𝑎𝑐𝑟𝑜𝑠𝑠 Subject to: 𝑟𝑤𝑧2,3 𝑎𝑐𝑟𝑜𝑠𝑠 ≡ Disallowance factor for Zone 2 and 3 divided by 100 In the worked example, Zone 2/Zone 3 across-zone horizontal disallowance is 0.98. 18) Zone 3 net residual position is calculated in accordance with B6.5(3). 𝑁𝑅𝑃𝑧3 = { (−1) × (|𝑅𝑃𝑧3 𝑤𝑖𝑡ℎ𝑖𝑛| − 𝑀𝑃𝑧2,3 𝑎𝑐𝑟𝑜𝑠𝑠) 𝑓𝑜𝑟 𝑅𝑃𝑧3 𝑤𝑖𝑡ℎ𝑖𝑛 < 0 |𝑅𝑃𝑧3 𝑤𝑖𝑡ℎ𝑖𝑛| − 𝑀𝑃𝑧2,3 𝑎𝑐𝑟𝑜𝑠𝑠 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒 In the worked example, Zone 3 net residual position is -2.35. Zone 1/3 disallowance 19) Zone 1/ Zone 3 matched position (𝑀𝑃𝑧1,3 𝑎𝑐𝑟𝑜𝑠𝑠) is calculated in accordance with B6.6(1) and (2). 𝑀𝑃𝑧1,3 𝑎𝑐𝑟𝑜𝑠𝑠 = { 0 𝑓𝑜𝑟 𝑁𝑅𝑃𝑧1 × 𝑁𝑅𝑃𝑧2 > 0 min{|𝑁𝑅𝑃𝑧1 |,|𝑁𝑅𝑃𝑧3 |} 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒 In the worked example, Zone 1/ Zone 3 matched position is 1.09. 20) Zone 1/Zone 3 across-zone horizontal disallowance (𝐷𝐴𝑧1,3 𝑎𝑐𝑟𝑜𝑠𝑠) is calculated in accordance with B6.6(2) using an applicable disallowance factor in TableB6.3. 𝐷𝐴𝑧1,3 𝑎𝑐𝑟𝑜𝑠𝑠 = 𝑟𝑤𝑧1,3 𝑎𝑐𝑟𝑜𝑠𝑠 × 𝑀𝑃𝑧1,3 𝑎𝑐𝑟𝑜𝑠𝑠 Subject to: 𝑟𝑤𝑧1,3 𝑎𝑐𝑟𝑜𝑠𝑠 ≡ Disallowance factor for Zone 1 and 3 divided by 100 In the worked example, Zone 1/Zone 3 across-zone horizontal disallowance is 1.09.
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(−1) × {∑ 𝐷𝐴𝑧 𝑤𝑖𝑡ℎ𝑖𝑛 𝑧3 𝑧=𝑧1