# Entire Section

## PIB A5.6 PIB A5.6 Option Risk Capital Requirement

## PIB A5.6 Guidance

PIB section A5.6 presents the method for the calculation of

Option Risk Capital Requirement for the purpose of PIB Rule 5.8.1(b).Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## PIB A5.6.1

An

Authorised Firm which calculates itsOption Risk Capital Requirement in accordance with PIB Rule 5.8.1(b) must apply theRules in this section.Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## Calculation of Option Risk Capital Requirement

## PIB A5.6.2

(1) AnAuthorised Firm may use theSimplified Approach set out in PIB Rule A5.6.3 to calculate itsOption Risk Capital Requirement only if:(a) it does not write options; or(b) where it writes options, all written options are hedged by perfectly matched long positions in exactly the same options.(2) AnAuthorised Firm which writes options must, unless (1) applies, use the advanced approach known as theDelta -plus method set out in PIB Rule A5.6.5 to calculate itsOption Risk Capital Requirement .Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## Simplified Approach

## PIB A5.6.3 PIB A5.6.3

An

Authorised Firm using theSimplified Approach must treat the positions for the options and the associated underlying instrument, cash or forward, and calculate the capital charge for each position, by reference to the following table:Position Treatment Long cash and long put or short cash and long call. The capital charge is the market value of the underlying instrument multiplied by the sum of Specific and General Market Risk percentages for the underlyingInstrument less the amount the option is in the money, if any, bounded at zero.Long call or long put. The capital charge will be the lesser of: • the market value of the underlying instrument multiplied by the sum of Specific andGeneral Market Risk percentages for the underlying instrument; or• the market value of the options.Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## PIB A5.6.3 Guidance

As an example of how the calculation would work, if a holder of 100 shares currently valued at $10 each holds an equivalent put option with a strike price of $11, the capital charge would be: $1,000 x 16% (i.e., 8% specific plus 8%

General Market Risk ) = $160, less the amount the option is in the money ($11— $10) x 100 = $100, i.e., the capital charge would be $60. A similar methodology applies for options whose underlying instrument is aForeign Currency , an interest rate related instrument or a commodity.Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## PIB A5.6.4

(1) For the purposes of PIB Rule A5.6.3, theSpecific Risk percentage for:(a) a currency option is 8%; and(b) an option on commodities is 15%.(2) For the purposes of PIB Rule A5.6.3, in the case of an option with a residual maturity of more than six months, the strike price must be compared with the forward, not current price, or if theAuthorised Firm is unable to do this, then the money amount must be taken to be zero.Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## Delta-Plus Method

## Delta-Plus Method Guidance

The

Delta -plus method uses the sensitivity parameters or "Greek letters" associated with options to measure theirOption Risk Capital Requirement . Under this method, theDelta -equivalent position of each option becomes part of the standardised methodology set out in sections PIB 5.4 to PIB 5.7 with theDelta -equivalent amount subject to the applicableGeneral Market Risk requirements. Separate capital charges are then applied to theGamma andVega risks of the option positions.Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## PIB A5.6.5

(1) AnAuthorised Firm that writes or purchases options may includeDelta -weighted options positions within the standardised methodology set out in sections PIB A5.2 to PIB A5.5. Such options must be reported as a position equal to the market value of the underlying instrument multiplied by theDelta .(2) AnAuthorised Firm is also required to measure andVega risks in order to calculate the total capital charge. These sensitivities will be calculated according to an approved proprietary options pricing model.(3)Delta -weighted positions with debtSecurities or interest rates as the underlying instrument must be inserted into the interest rate timebands, as set out in PIB section A5.2. A two-legged approach must be used as for other derivatives, requiring one entry at the time the underlying instrument takes effect and a second at the time the underlying instrument matures. Floating rate instruments with caps or floors must be treated as a combination of floating rateSecurities and a series of European-style options.(4) The capital charge for options with equities as the underlying instrument must also be based on theDelta -weighted positions which must be incorporated in the measure ofEquity Risk Capital Requirement described in PIB section A5.3. For purposes of this calculation, each national market must be treated as a separate underlying instrument.(5) The capital charge for options on commodities, foreign currency (including gold) positions must be based on the method set out in PIB section 5.8. ForDelta risk, the netDelta -based equivalent of the commodities, foreign currency including gold) options must be incorporated into the measurement of theExposure for the respective currency (or gold) position.(6) Individual netDelta positions as described above must be treated as the underlying instrument in accordance with sections PIB A5.4 to PIB A5.5.Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## PIB A5.6.6

An

Authorised Firm using theDelta -plus method must calculate itsMarket Risk Capital Requirement for options by:(a) calculating theDelta -weighted position of each option in accordance with PIB Rule A5.6.7 and adding theseDelta -weighted positions to the net positions in the relevant risk category referred in sections PIB A5.2 to PIB A5.6 for the purpose of calculating theSpecific Risk andGeneral Market Risk Capital Requirements ;(b) calculating theCapital Requirement forGamma risk of its option positions (including hedge positions) based on the options pricing model of the anAuthorised Firm , in accordance with Rules PIB A5.6.8 to PIB A5.6.9;(c) calculating theCapital Requirement forVega risk of its option positions (including hedge positions) based on the options pricing model of anAuthorised Firm , in accordance with PIB Rule A5.6.10; and(d) summing theCapital Requirements determined in (b) and (c).Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## PIB A5.6.7

An

Authorised Firm must calculate itsDelta -weighted position for each option as follows:Delta -weighted position = Market value of the underlying instrument or commodities xDelta Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## PIB A5.6.8

In addition to the capital charges referred to in PIB Rule A5.6.5, arising from

Delta risk, anAuthorised Firm must calculate theGamma for each option position, including hedge positions in the following way:(a) for each individual option a "Gamma impact" must be calculated as:

Gamma impact = ½ xGamma x VU^{2}

where VU = Variation of the underlying instrument of the option;(b) VU must be calculated as follows:(i) for interest rate options if the underlying instrument is a bond, the market value of the underlying instrument should be multiplied by the risk weights set out in PIB section 5.4 for the underlying instrument. An equivalent calculation should be carried out where the underlying instrument is an interest rate, again based on the assumed changes in the corresponding yield in PIB Rule A5.2.16;(ii) for options on equities and equity indices, the market value of the underlying instrument should be multiplied by 8%;(iii) for foreign exchange and gold options, the market value of the underlying instrument should be multiplied by 8%; and(iv) for options on commodities, the market value of the underlying instrument should be multiplied by 15%; and(c) for the purpose of this calculation the following positions must be treated as the same underlying instrument:(i) for interest rates, each timeband as set out in PIB Rule A5.2.16;(ii) for equities and stock indices, each national market;(iii) for foreign currencies and gold, each currency pair and gold; and(iv) for commodities, positions in the same individual commodity as defined in PIB section A5.5 forCommodities Risk Capital Requirement .Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## PIB A5.6.9 PIB A5.6.9

An

Authorised Firm must calculate itsCapital Requirement forGamma risk by:(a) calculating the netGamma impact in respect of each underlying financial instrument or commodity by aggregating the individualGamma impacts for each option position in respect of that underlying financial instrument or commodity (which may be either positive or negative); and(b) aggregating the absolute value of the netGamma impacts that are negative.Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## PIB A5.6.9 Guidance

1. The underlying financial instrument or commodity should be taken to be the asset which would be received if the option were exercised. In addition, the notional value should be used for items where the market value of the underlying financial instrument or commodity could be zero (e.g. caps and floors, swaptions). Certain notional positions in zero-specific-risk securities do not attractSpecific Risk , e.g. interest rate and currency swaps, Forward Rate Agreement (FRA), forward foreign exchange contracts, interest rate futures and futures on an interest rate index. Similarly, options on such zero-specific-risk securities also bear noSpecific Risk . For the purposes of this sub-paragraph:a. the specific and general risk weights in respect of options on interest rate-related instruments are determined in accordance with PIB section A5.2;b. the specific and general risk weights in respect of options on equities and equity indices are determined in accordance with PIB section A5.3;c. the risk weight in respect of foreign currency and gold options is 8%; andd. the risk weight in respect of options on commodities is 15%.For options with a residual maturity of more than 6 months, the strike price should be compared with the forward, and not current, price. Where anAuthorised Firm is unable to do this, the in-the-money amount would be zero.2. AnAuthorised Firm which trades in exotic options (e.g. barriers, digitals) would use either the scenario approach or theInternal Models Approach (IMA) to calculate itsMarket Risk Capital Requirement for such options, unless it is able to demonstrate to theDFSA that theDelta -plus method is appropriate. In the case of options on futures or forwards, the relevant underlying is that on which the future or forward is based (e.g. for a bought call option on a June 3-month bill future, the relevant underlying is the 3-month bill).Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]## PIB A5.6.10

An

Authorised Firms must calculate itsCapital Requirement forVega risk by:(a) multiplying the sum of theVegas for all option positions in respect of the same underlying financial instrument or commodity, as defined in the PIB Rule 5.6.8(c), by a proportional shift in volatility of ±25%; and(b) aggregating the absolute value of the individualCapital Requirements which have been calculated forVega risk.Derived from RM111/2012 (Made 15th October 2012). [VER20/12-12]