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Software Developed by Chicago Mercantile Exchange [Source: Website of NSE]
NSCCL has developed a comprehensive risk containment mechanism for the Futures & Options segment. The most critical component of a risk containment mechanism for NSCCL is the online position monitoring and margining system. This brings in the need to price/value contracts under Derivatives being currently traded at the Exchange on an ongoing (daily) basis in order to calculate and collect different types of margin from the clearing/trading members and clients. The actual margining and position monitoring is done on-line, on an intra-day basis. NSCCL uses the SPAN(r) (Standard Portfolio Analysis of Risk) system for the purpose of margining, which is a portfolio based system. To identify the worst probable one-day loss on a portfolio, SPAN� constructs a series of scenarios of changing underlying prices and volatilities for each derivative instrument in the portfolio, these "risk arrays" are central to the SPAN�methodology, from this the worst probable outcome - the scanning loss - is selected. NSCCL collects initial margin up-front for all the open positions of a CM based on the margins computed by NSCCL-SPAN�. A CM is in turn required to collect the initial margin from the TMs and his respective clients. Similarly, a TM should collect upfront margins from his clients. NSCCL SPAN� The objective of SPAN is to identify overall risk in a portfolio of futures and options contracts for each member. The system treats futures and options contracts uniformly, while at the same time recognizing the unique exposures associated with options portfolios like extremely deep out-of-the-money short positions, inter-month risk and inter-commodity risk. Because SPAN is used to determine performance bond requirements (margin requirements), its overriding objective is to determine the largest loss that a portfolio might reasonably be expected to suffer from one day to the next day. In standard pricing models, three factors most directly affect the value of an option at a given point in time:
As these factors change, so too will the value of futures and options maintained within a portfolio. SPAN constructs scenarios of probable changes in underlying prices and volatilities in order to identify the largest loss a portfolio might suffer from one day to the next. It then sets the margin requirement at a level sufficient to cover this one-day loss. Mechanics of SPAN - Risk Arrays SPAN(r) is a registered trademark of the Chicago Mercantile Exchange, used herein under License. At the heart of SPAN� is the concept of the SPAN risk array. The risk array represents how a specific derivative instrument (for example, an option on a future) will gain or lose value, from the current point in time to a specific point in time in the near future, over a specific set of market conditions which may occur over this time duration, also called the look-ahead time. The look-ahead time is typically set to one trading day, because in SPAN we are trying to evaluate the maximum likely loss which may reasonably occur over one trading day. The specific set of market conditions evaluated, are called the risk scenarios, are defined in terms of-
The results of the calculation for each risk scenario, the amount by which the specific derivative instrument will gain or lose value over the look-ahead time under that risk scenario, is called the risk array value for that scenario. The set of risk array values for that contract (derivative instrument) under the full set of risk scenarios, constitutes the risk array. By convention, risk array values are calculated for a single long position. "Long" here means long the instrument, not long the market: buying a put and buying a call both yield long positions for the purposes of SPAN. Also by convention, since SPAN is more interested in potential losses than potential gains, losses are represented as positive values, and gains as negative values. Risk array values are typically represented in the performance bond currency in which the specific contract is denominated. Since its inception, SPAN has used a standardized definition of the risk scenarios, defined, as indicated above, in terms of the underlying price scan range, and the underlying price volatility scan range. These two values are often simply referred to as the price scan range and the volatility scan range. There are 16 risk scenarios in the standard definition. : In the Risk Array, losses are represented as positive values, and gains as negative values. Risk array values are typically represented in the currency (Indian Rupees) in which the futures or options contract is denominated. SPAN further uses a standardized definition of the risk scenarios, defined in terms of
These two values are often simply referred to as the 'price scan range' and the 'volatility scan range'. There are sixteen risk scenarios in the standard definition. These scenarios are listed as under:
SPAN uses the risk arrays to scan probable underlying market price changes and probable volatility changes for all contracts in a portfolio, in order to determine value gains and losses at the portfolio level. This is the single most important calculation executed by the system. As shown above in the sixteen standard risk scenarios, SPAN starts at the last underlying market settlement price and scans up and down three even intervals of price changes ('price scan range'). At each 'price scan point', the program also scans up and down a range of probable volatility from the underlying market's current volatility ('volatility scan range'). SPAN calculates the probable premium value at each price scan point for volatility up and volatility down scenario. It then compares this probable premium value to the theoretical premium value (based on last closing value of the underlying) to determine profit or loss. Deep-out-of-the-money short options positions pose a special risk identification problem. As they move towards expiration, they may not be significantly exposed to "normal" price moves in the underlying. However, unusually large underlying price changes may cause these options to move into-the-money, thus creating large losses to the holders of short option positions. In order to account for this possibility, two of the standard risk scenarios in the Risk Array (sr. no. 15 and 16) reflect an "extreme" underlying price movement, currently defined as double the maximum price scan range for a given underlying. However, because price changes of these magnitudes are rare, the system only covers 35% of the resulting losses. After SPAN has scanned the 16 different scenarios of underlying market price and volatility changes, it selects the largest loss from among these 16 observations. This "largest reasonable loss" is the 'Scanning Risk Charge' for the portfolio - in other words, for all futures and options contracts. Composite Delta SPAN uses delta information to form spreads between futures and options contracts. Delta values measure the manner in which a future's or option's value will change in relation to changes in the value of the underlying instrument. Futures deltas are always 1.0; options deltas range from -1.0 to +1.0. Moreover, options deltas are dynamic: a change in value of the underlying instrument will affect not only the option's price, but also its delta.
Calendar Spread or Intra-commodity or Inter-month Risk Charge As SPAN scans futures prices within a single underlying instrument, it assumes that price moves correlate perfectly across contract months. Since price moves across contract months do not generally exhibit perfect correlation, SPAN adds an Calendar Spread Charge (also called the Inter-month Spread Charge) to the Scanning Risk Charge associated with each futures and options contract. To put it in a different way, the Calendar Spread Charge covers the calendar (inter-month etc.) basis risk that may exist for portfolios containing futures and options with different expirations. For each futures and options contract, SPAN identifies the delta associated each futures and option position, for a contract month. It then forms spreads using these deltas across contract months. For each spread formed, SPAN assesses a specific charge per spread which constitutes the Calendar Spread Charge. The margin for calendar spread shall be calculated on the basis of delta of the portfolio in each month. Thus a portfolio consisting of a near month option with a delta of 100 and a far month option with a delta of �100 would bear a spread charge equivalent to the calendar spread charge for a portfolio which is long 100 near month futures contract and short 100 far month futures contract. A calendar spread would be treated as a naked position in the far month contract three trading days before the near month contract expires. Short Option Minimum Charge Short options positions in extremely deep-out-of-the-money strikes may appear to have little or no risk across the entire scanning range. However, in the event that underlying market conditions change sufficiently, these options may move into-the-money, thereby generating large losses for the short positions in these options. To cover the risks associated with deep-out-of-the-money short options positions, SPAN assesses a minimum margin for each short option position in the portfolio called the Short Option Minimum charge, which is set by the NSCCL. The Short Option Minimum charge serves as a minimum charge towards margin requirements for each short position in an option contract. For example, suppose that the Short Option Minimum charge is Rs. 50 per short position. A portfolio containing 20 short options will have a margin requirement of at least Rs. 1,000, even if the scanning risk charge plus the inter month spread charge on the position is only Rs. 500. Net Buy Premium (only for option contracts) In the above scenario only sell positions are margined and offsetting benefits for buy positions are given to the extent of long positions in the portfolio by computing the net option value To cover the one day risk on long option positions (for which premium shall be payable on T+1 day), net buy premium to the extent of the net long options position value is deducted from the Liquid Networth of the member on a real time basis. This would be applicable only for trades done on a given day. The Net Buy Premium margin shall be released towards the Liquid Networth of the member on T+1 day after the completion of pay-in towards premium settlemen Computation of Initial Margin - Overall Portfolio Margin Requirement The total margin requirements for a member for a portfolio of futures and options contract would be computed as follows:
Black-Scholes Option Price calculation model The options price for a Call, computed as per the following Black Scholes formula:
Rate of interest may be the relevant MIBOR rate or such other rate as may be specified. The complex calculations (e.g. the pricing of options) in SPAN are executed by the Clearing Corporation. Risk arrays, and other necessary data inputs for margin calculation are then provided to members in a file called the SPAN Risk Parameter file. This file will be provided to members on a daily basis. Members can apply the data contained in the Risk parameter files, to their specific portfolios of futures and options contracts, to determine their SPAN margin requirements. Hence members need not execute complex option pricing calculations, which would be performed by NSCCL. SPAN has the ability to estimate risk for combined futures and options portfolios, and re-value the same under various scenarios of changing market conditions. n the Risk Array, losses are represented as positive values, and gains as negative values. Risk array values are typically represented in the currency (Indian Rupees) in which the futures or options contract is denominated. | |
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