Derivatives, such as futures or options, are financial contracts which derive their value from a spot price, which is called the” underlying”. For example, wheat farmers may wish to enter into a contract to sell their harvest at a future date to eliminate the risk of a change in prices by that date. Such a transaction would take place through a forward or futures market. This market is the “derivatives market", and the prices of this market would be driven by the spot market price of wheat which is the “underlying”. The term “contracts" is often applied to denote the specific traded instrument, whether it is a derivative contract in wheat, gold or equity shares. The world over, derivatives are a key part of the financial system. The most important contract types are futures and options, and the most important underlying markets are equity, treasury bills, commodities, foreign exchange, real estate etc.
In a forward contract, two parties agree to do a trade at some future date, at a stated price and quantity. No money changes hands at the time the deal is signed.
Forward contracting is very valuable in hedging and speculation. The classic hedging application would be that of a wheat farmer forward -selling his harvest at a known price in order to eliminate price risk. Conversely, a bread factory may want to buy bread forward in order to assist production planning without the risk of price fluctuations. If a speculator has information or analysis which forecasts an upturn in a price, then he can go long on the forward market instead of the cash market. The speculator would go long on the forward, wait for the price to rise and then take a reversing transaction making a profit.
Forward markets worldwide are afflicted by several problems:
(a) Lack of centralisation of trading,
(b) Illiquidity, and
(c) Counterparty risk.
In the first two of these, the basic problem is that of too much flexibility and generality. The forward market is like the real estate market in that any two persons can form contracts against each other. This often makes them design terms of the deal which are very convenient in that specific situation for the specific parties, but makes the contracts non-tradable if more participants are involved. Also the “phone market" here is unlike the centralisation of price discovery that is obtained on an exchange, resulting in an illiquid market place for forward markets. Counterparty risk in forward markets is a simple idea: when one of the two sides of the transaction chooses to declare bankruptcy, the other suffers. Forward markets have one basic issue: the larger the time period over which the forward contract is open, the larger are the potential price movements, and hence the larger is the counter- party risk.
Even when forward markets trade standardized contracts, and hence avoid the problem of illiquidity, the counterparty risk remains a very real problem.
Futures markets were designed to solve all the three problems (listed in Question 4) of forward markets. Futures markets are exactly like forward markets in terms of basic economics. However, contracts are standardized and trading is centralized (on a stock exchange). There is no counterparty risk (thanks to the institution of a clearing corporation which becomes counterparty to both sides of each transaction and guarantees the trade). In futures markets, unlike in forward markets, increasing the time to expiration does not increase the counter party risk. Futures markets are highly liquid as compared to the forward markets.
There are two types of derivatives instruments traded on NSE; namely Futures and Options:
Futures: A futures contract is an agreement between two parties to buy or sell an asset at a certain time in the future at a certain price. All the futures contracts are settled in cash at NSE.
Options: An Option is a contract which gives the right, but not an obligation, to buy or sell the underlying at a stated date and at a stated price. While a buyer of an option pays the premium and buys the right to exercise his option, the writer of an option is the one who receives the option premium and therefore obliged to sell/buy the asset if the buyer exercises it on him.
Options are of two types - Calls and Puts options:
"Calls" give the buyer the right but not the obligation to buy a given quantity of the underlying asset, at a given price on or before a given future date.
"Puts" give the buyer the right, but not the obligation to sell a given quantity of underlying asset at a given price on or before a given future date. All the options contracts are settled in cash.
Further the Options are classified based on type of exercise. At present the Exercise style can be European or American.
American Option - American options are options contracts that can be exercised at any time up to the expiration date. Options on individual securities available at NSE are American type of options.
European Options - European options are options that can be exercised only on the expiration date. All index options traded at NSE are European Options.
Options contracts like futures are Cash settled at NSE.
Futures and options contracts are traded on Indices and on Single stocks. The derivatives trading at NSE commenced with futures on the Nifty 50 in June 2000. Subsequently, various other products were introduced and presently futures and options contracts on the following products are available at NSE:
Indices: Nifty 50 CNX IT Index, Bank Nifty Index, CNX Nifty Junior, CNX 100, Nifty Midcap 50, Mini Nifty and Long dated Options contracts on Nfity 50.
Single stocks - 228
Futures trading will be of interest to those who wish to:
1) Invest - take a view on the market and buy or sell accordingly.
2) Price Risk Transfer- Hedging - Hedging is buying and selling futures contracts to offset the risks of changing underlying market prices. Thus it helps in reducing the risk associated with exposures in underlying market by taking counter- positions in the futures market. For example, an investor who has purchased a portfolio of stocks may have a fear of adverse market conditions in future which may reduce the value of his portfolio. He can hedge against this risk by shorting the index which is correlated with his portfolio, say the Nifty 50. In case the markets fall, he would make a profit by squaring off his short Nifty 50 position. This profit would compensate for the loss he suffers in his portfolio as a result of the fall in the markets.
3) Leverage- Since the investor is required to pay a small fraction of the value of the total contract as margins, trading in Futures is a leveraged activity since the investor is able to control the total value of the contract with a relatively small amount of margin. Thus the Leverage enables the traders to make a larger profit (or loss) with a comparatively small amount of capital.
Options trading will be of interest to those who wish to:
1) Participate in the market without trading or holding a large quantity of stock.
2) Protect their portfolio by paying small premium amount.
Benefits of trading in Futures and Options:
1) Able to transfer the risk to the person who is willing to accept them
2) Incentive to make profits with minimal amount of risk capital
3) Lower transaction costs
4) Provides liquidity, enables price discovery in underlying market
5) Derivatives market are lead economic indicators.
An investor can trade the 'entire stock market' by buying index futures instead of buying individual securities with the efficiency of a mutual fund.
The advantages of trading in Index Futures are:
- The contracts are highly liquid
- Index Futures provide higher leverage than any other stocks
- It requires low initial capital requirement
- It has lower risk than buying and holding stocks
- It is just as easy to trade the short side as the long side
- Only have to study one index instead of 100s of stocks
Futures/ Options contracts in both index as well as stocks can be bought and sold through the trading members of NSE. Some of the trading members also provide the internet facility to trade in the futures and options market. You are required to open an account with one of the trading members and complete the related formalities which include signing of member-constituent agreement, know Your Client (KYC) form and risk disclosure document. The trading member will allot to you a unique client identification number. To begin trading, you must deposit cash and/or other collaterals with your trading member as may be stipulated by him.
It is the last day on which the contracts expire. Futures and Options contracts expire on the last Thursday of the expiry month. If the last Thursday is a trading holiday, the contracts expire on the previous trading day. For E.g. The January 2008 contracts mature on January 31, 2008.
Futures and Options contracts have a maximum of 3-month trading cycle -the near month (one), the next month (two) and the far month (three), except for the long dated Options contracts. New contracts are introduced on the trading day following the expiry of the near month contracts. The new contracts are introduced for three month duration. This way, at any point in time, there will be 3 contracts available for trading in the market (for each security) i.e., one near month, one mid month and one far month duration respectively. For example on January 26,2008 there would be three month contracts i.e. Contracts expiring on January 31,2008, February 28, 2008 and March 27, 2008. On expiration date i.e. January 31, 2008, new contracts having maturity of April 24, 2008 would be introduced for trading.
In- the- money options (ITM) - An in-the-money option is an option that would lead to positive cash flow to the holder if it were exercised immediately. A Call option is said to be in-the-money when the current price stands at a level higher than the strike price. If the Spot price is much higher than the strike price, a Call is said to be deep in-the-money option. In the case of a Put, the put is in-the-money if the Spot price is below the strike price.
At-the-money-option (ATM) - An at-the money option is an option that would lead to zero cash flow if it were exercised immediately. An option on the index is said to be "at-the-money" when the current price equals the strike price.
Out-of-the-money-option (OTM) -An out-of- the-money Option is an option that would lead to negative cash flow if it were exercised immediately. A Call option is out-of-the-money when the current price stands at a level which is less than the strike price. If the current price is much lower than the strike price the call is said to be deep out-of-the money. In case of a Put, the Put is said to be out-of-money if current price is above the strike price.
Yes. Margins are computed and collected on-line, real time on a portfolio basis at the client level. Members are required to collect the margin upfront from the client & report the same to the Exchange.
Frequently Asked Questions on Risk Management
Just as we are faced with day to day uncertainties pertaining to weather, health, traffic etc and take steps to minimize the uncertainties, so also in the stock markets, there is uncertainty in the movement of share prices.
This uncertainty leading to risk is sought to be addressed by margining systems of stock markets.
Suppose an investor, purchases 1000 shares of 'xyz' company at Rs.100/- on January 1, 2008. Investor has to give the purchase amount of Rs.1, 00,000/(1000 x 100) to his broker on or before January 2, 2008. Broker, in turn, has to give this money to stock exchange on January 3, 2008.
There is always a small chance that the investor may not be able to bring the required money by required date. As an advance for buying the shares, investor is required to pay a portion of the total amount of Rs.1, 00,000/- to the broker at the time of placing the buy order. Stock exchange in turn collects similar amount from the broker upon execution of the order. This initial token payment is called margin.
Remember, for every buyer there is a seller and if the buyer does not bring the money, seller may not get his / her money and vice versa.
Therefore, margin is levied on the seller also to ensure that he / she gives the 100 shares sold to the broker who in turn gives it to the stock exchange.
Margin payments ensure that each investor is serious about buying or selling shares.
In the above example, assume that margin was 15%. That is investor has to give Rs.15, 000/-(15% of Rs.1, 00,000/) to the broker before buying. Now suppose that investor bought the shares at 11 am on January 1, 2008. Assume that by the end of the day price of the share falls by Rs.25/-That is total value of the shares has come down to Rs.75, 000/-. That is buyer has suffered a notional loss of Rs.25, 000/-. In our example buyer has paid Rs.15, 000/- as margin but the notional loss, because of fall in price, is Rs.25, 000/-. That is notional loss is more than the margin given.
In such a situation, the buyer may not want to pay Rs.1, 00,000/- for the shares whose value has come down to Rs.75, 000/-. Similarly, if the price has gone up by Rs.25/-, the seller may not want to give the shares at Rs.1, 00,000/-. To ensure that both buyers and sellers fulfill their obligations irrespective of price movements, notional losses are also need to be collected.
Prices of shares keep on moving every day. Margins ensure that buyers bring money and sellers bring shares to complete their obligations even though the prices have moved down or up.
Different people have different definitions for volatility. For our purpose, we can say that volatility essentially refers to uncertainty arising out of price changes of shares. It is important to understand the meaning of volatility a little more closely because it has a major bearing on how margins are computed.
As mentioned earlier, volatility has different definitions and therefore different people compute it differently. For our understanding purpose, let us compute volatility based on close prices of a share over last 6 months. Since it is based on historical data, let us call it "historical volatility".
You can easily calculate historical volatility using an excel sheet. All you need to do is to put down close prices of a share for the last six months in a column of the excel sheet. Calculate the daily returns by using 'LN' (natural log) function in excel. Use the formula LN (today's close price / yesterday's close price) in the next column for calculating daily returns for all the days. Go to the end of the second column (after the last value) and use the excel function 'STDEV' (available under statistical formulas) to calculate the Standard Deviation of returns computed as above. The calculated standard deviation expressed as percentage is the 'historical volatility' of the share for the six months period
Prices of shares fluctuate depending on the future prospects of the company. We hear of stock prices going up or down in the markets every day. Popularly, a share is said to be volatile if the prices move by large percentages up and/or down. A stock with very little movement in its price would have lower volatility.
Let us compute volatility of four companies W, X, Y and Z to see how daily price movements of these companies affect the computed historical volatility.
Date
|
Closing price of shares of W
|
Daily LN returns
|
Closing price of shares of X
|
Daily LN returns
|
Closing price of shares of Y
|
Daily LN returns
|
Closing price of shares of Z
|
Daily LN returns
|
1-Jan-08
|
2800
|
|
2420
|
|
2825
|
|
2510
|
|
2-Jan-08
|
2850
|
1.77%
|
2480
|
2.45%
|
2758
|
-2.40%
|
2515
|
0.20%
|
3-Jan-08
|
2700
|
-5.41%
|
2515
|
1.40%
|
2742
|
-0.58%
|
2520
|
0.20%
|
4-Jan-08
|
2750
|
1.83%
|
2550
|
1.38%
|
2725
|
-0.62%
|
2512
|
-0.32%
|
7-Jan-08
|
2900
|
5.31%
|
2565
|
0.59%
|
2708
|
-0.63%
|
2508
|
-0.16%
|
8-Jan-08
|
2800
|
-3.51%
|
2592
|
1.05%
|
2686
|
-0.82%
|
2514
|
0.24%
|
9-Jan-08
|
2650
|
-5.51%
|
2614
|
0.85%
|
2667
|
-0.71%
|
2523
|
0.36%
|
10-Jan-08
|
2700
|
1.87%
|
2635
|
0.80%
|
2635
|
-1.21%
|
2510
|
-0.52%
|
11-Jan-08
|
2750
|
1.83%
|
2667
|
1.21%
|
2614
|
-0.80%
|
2505
|
-0.20%
|
14-Jan-08
|
2650
|
-3.70%
|
2686
|
0.71%
|
2592
|
-0.85%
|
2515
|
0.40%
|
15-Jan-08
|
2640
|
-0.38%
|
2708
|
0.82%
|
2565
|
-1.05%
|
2502
|
-0.52%
|
16-Jan-08
|
2520
|
-4.65%
|
2725
|
0.63%
|
2550
|
-0.59%
|
2510
|
0.32%
|
17-Jan-08
|
2670
|
5.78%
|
2742
|
0.62%
|
2515
|
-1.38%
|
2515
|
0.20%
|
21-Jan-08
|
2720
|
1.86%
|
2758
|
0.58%
|
2480
|
-1.40%
|
2511
|
-0.16%
|
22-Jan-08
|
2790
|
2.54%
|
2825
|
2.40%
|
2420
|
-2.45%
|
2514
|
0.12%
|
Volatility
|
|
3.85%
|
|
0.62%
|
|
0.62%
|
|
0.32%
|
As you can see from the above, prices of shares of 'W' company moved up and down through out the period and the price changes were ranging from -5.51% to 5.78%. The calculated historical volatility is 3.85% for the period.
Shares of company 'X' moved steadily upwards and the price changes were between 0.58% and 2.45%. Here the historical volatility is 0.62%
Shares of company 'Y' moved steadily downwards and the price changes were between -2.45% and 0.58%. Here the historical volatility is once again 0.62%.
Shares of company 'Z' moved up and down but with smaller percentage variations ranging from -0.52% to 0.40%. Here historical volatility is 0.32% and is the least volatile share of the four under consideration.
Higher volatility means the price of the security may change dramatically over a short time period in either direction. Lower volatility means that a security's value may not change as dramatically.
No. Stock prices may move up or may move down. Volatility will capture the extent of the fluctuations in the stock, irrespective of whether the prices are going up or going down. In the above example shares of 'X' have moved up steadily whereas shares of 'Y' moved down steadily. However, both have same historical volatility.
Price movements vary from share to share. Some see larger up or down variations on daily basis and some see lower one way or both way movements.
In our example under question 4, we considered share price movements of 4 companies W, X, Y and Z during the period January 1, 2008 to January 22, 2008.
On the morning of January 23, 2008, no one knows what would be the closing price of these 4 shares.
However, historical volatility number would tell you that shares of 'W' may move up or down by large percentage whereas shares of 'Z' may see a small percentage variation compared to close price on January 22, 2008. This is only an estimate based on past price movements.
Since the uncertainty of price movements is very high for 'W', its shares would attract higher initial margin whereas shares of 'Z' would attract lower initial margin since its volatility is low.
Let us deal with this aspect in more detail while exploring different types of margins.
Stock market is a complex place with variety of instruments traded on it. As shown above, one single margin for all shares may not be able to handle price uncertainty / risk. In our simple example under question 1, even within cash market, we have seen two types of margins, one at the time of placing the order and another to cover the notional loss.
Shares traded on cash market are settled in two days whereas derivative contracts may have longer time to expiry. That is, derivative market margins have to address the uncertainty over a longer period.
Therefore, SEBI has prescribed different ways to margin cash and derivatives trades taking into consideration unique features of instruments traded on these segments.
Margins in the cash market segment comprise of the following three types:
1) Value at Risk (VaR) margin
2) Extreme loss margin
3) Mark to market Margin
VaR Margin is at the heart of margining system for the cash market segment. VaR margin is collected on upfront basis. In that respect, it is similar to the margin we have seen in our example under question 1 while placing the order.
Let us try and understand briefly what we mean by 'VaR'. The most popular and traditional measure of uncertainty / risk is Volatility, which we have understood earlier. While historical volatility tells us how the security price moved in the past, VaR answers the question, “How much is it likely to move over next one day?"
VaR is a technique used to estimate the probability of loss of value of an asset or group of assets (for example a share or a portfolio of a few shares), based on the statistical analysis of historical price trends and volatilities.
A VaR statistic has three components: a time period, a confidence level and a loss amount (or loss percentage). Keep these three parts in mind and identify them in the following example:
- With 99% confidence, what is the maximum value that an asset or portfolio may loose over the next day?
- You can see how the "VaR question" has three elements: a relatively high level of confidence (99%), a time period (a day) and an estimate of loss (expressed either in rupees or percentage terms).
- The actual calculation of VaR is beyond the scope of this booklet. However, those who are interested in understanding the calculation methodology may refer any statistical reference material.
Example
Let us assume that an investor bought shares of a company. Its market value today is Rs.50 lakhs. Obviously, we do not know what would be the market value of these shares next day. An investor holding these shares may, based on VaR methodology, say that 1-day VaR is Rs.4 lakhs at the 99% confidence level. This implies that under normal trading conditions the investor can, with 99% confidence, say that the value of the shares would not go down by more than Rs.4 lakhs within next 1-day.
In the stock exchange scenario, a VaR Margin is a margin intended to cover the largest loss (in %) that may be faced by an investor for his / her shares (both purchases and sales) on a single day with a 99% confidence level. The VaR margin is collected on an upfront basis (at the time of trade).
VaR is computed using exponentially weighted moving average (EWMA) methodology. Based on statistical analysis, 94% weight is given to volatility on 'T1' day and 6% weight is given to 'T' day returns.
To compute volatility for January 1, 2008, first we need to compute day's return for Jan 1, 2008 by using LN (close price on Jan 1, 2008 / close price on Dec 31, 2007).
Take volatility computed as on December 31, 2007.
Use the following formula to calculate volatility for January 1, 2008:
Square root of [0.94*(Dec 31, 2007 volatility)*(Dec 31, 2007 volatility) + 0.06*(January 1, 2008 LN return)*(January 1, 2008 LN return)]
Example: Share of ABC Ltd
Volatility on December 31, 2007 = 0.0314 Closing price on December 31, 2007 = Rs. 360 Closing price on January 1, 2008 = Rs. 330 January 1, 2008 volatility = Square root of [(0.94*(0.0314)*(0.0314) + 0.06 (0.08701)* (0.08701)] = 0.037 or 3.7% Now, to arrive at VaR margin rate, companies are divided into 3 categories based on how regularly their shares trade and on the basis of liquidity (that is, by how much a large buy or sell order changes the price of the scrip, what is technically called 'impact cost'. Detailed note on impact cost is available in annexure B).
Group I consists of shares that are regularly traded (that is, on more than 80% of the trading days in the previous six months) and have high liquidity (that is, impact cost less than 1%). Group II consists of shares that are regularly traded (again, more than 80% of the trading days in the previous six months) but with higher impact cost (that is, more than 1 %). All other shares are classified under Group III.
For Group I shares, the VaR margin rate would be higher of 3.5 times volatility or 7.5%
For Group II shares, computation of VaR margin rate is a little complex. First take higher of 3.5 times volatility of the security or 3.0 times volatility of index (The volatility of index is taken as the higher of the daily Index volatility based on S&P CNX NIFTY or BSE SENSEX. At any point in time, minimum value of volatility of index is taken as 5%).
The number arrived at as above is then multiplied by 1.732051 (that is, square root of 3). The number so obtained is the VaR margin rate. For Group III securities VaR margin rate would be 5.0 times volatility of the Index multiplied by 1.732051 (that is, square root of 3).
In the above example, if the shares belong to Group I, then VaR margin rate would be 3.5 * 3.7, which is about 13%. Actual VaR margin collected at the time of buy or sell would be 13% of the value of the trade. For example, if the value of the position (buy or sell) is Rs.10 lakhs, then the VaR margin would be Rs.1, 30,000/-
The extreme loss margin aims at covering the losses that could occur outside the coverage of VaR margins. The Extreme loss margin for any stock is higher of 1.5 times the standard deviation of daily LN returns of the stock price in the last six months or 5% of the value of the position. This margin rate is fixed at the beginning of every month, by taking the price data on a rolling basis for the past six months.
Example
In the Example given at question 10, the VaR margin rate for shares of ABC Ltd. was 13%. Suppose that standard deviation of daily LN returns of the security is 3.1%. 1.5 times standard deviation would be 1.5 x 3.1 = 4.65. Then 5% (which is higher than 4.65%) will be taken as the Extreme Loss margin rate.
Therefore, the total margin on the security would be 18% (13% VaR Margin + 5% Extreme Loss Margin). As such, total margin payable (VaR margin + extreme loss margin) on a trade of Rs.10 lakhs would be 1, 80,000/-
MTM is calculated at the end of the day on all open positions by comparing transaction price with the closing price of the share for the day. In our example in question number 1, we have seen that a buyer purchased 1000 shares @ Rs.100/at 11 am on January 1, 2008. If close price of the shares on that day happens to be Rs.75/-, then the buyer faces a notional loss of Rs.25,000/- on his buy position. In technical terms this loss is called as MTM loss and is payable by January 2, 2008 (that is next day of the trade) before the trading begins.
In case price of the share falls further by the end of January 2, 2008 to Rs. 70/-, then buy position would show a further loss of Rs.5, 000/-. This MTM loss is payable by next day.
In case, on a given day, buy and sell quantity in a share are equal, that is net quantity position is zero, but there could still be a notional loss / gain (due to difference between the buy and sell values), such notional loss also is considered for calculating the MTM payable.
MTM Profit/Loss = [(Total Buy Qty X Close price) – Total Buy Value] - [Total Sale Value - (Total Sale Qty X Close price)]
www.nseindia.com>NSCCL>Notifications>Var Margin Rates
Margins on both Futures and Options contracts comprise of the following:
1) Initial Margin
2) Exposure margin
In addition to these margins, in respect of options contracts the following additional margins are collected
1) Premium Margin
2) Assignment Margin
Initial margin for F&O segment is calculated on a portfolio (a collection of futures and option positions) based approach. The margin calculation is carried out using a software called - SPAN® (Standard Portfolio Analysis of Risk). It is a product developed by Chicago Mercantile Exchange (CME) and is extensively used by leading stock exchanges of the world.
SPAN® uses scenario based approach to arrive at margins. Value of futures and options positions depend on, among others, price of the security in the cash market and volatility of the security in cash market. As you would agree, both price and volatility keep changing. To put it simply, SPAN® generates about 16 different scenarios by assuming different values to the price and volatility. For each of these scenarios, possible loss that the portfolio would suffer is calculated. The initial margin required to be paid by the investor would be equal to the highest loss the portfolio would suffer in any of the scenarios considered. The margin is monitored and collected at the time of placing the buy / sell order.
The SPAN® margins are revised 6 times in a day - once at the beginning of the day, 4 times during market hours and finally at the end of the day. Obviously, higher the volatility, higher the margins.
In addition to initial / SPAN® margin, exposure margin is also collected.
Exposure margins in respect of index futures and index option sell positions is 3% of the notional value.
For futures on individual securities and sell positions in options on individual securities, the exposure margin is higher of 5% or 1.5 standard deviation of the LN returns of the security (in the underlying cash market) over the last 6 months period and is applied on the notional value of position.
In addition to Initial Margin, a premium margin is charged to buyers of option contracts.
The premium margin is paid by the buyers of the options contracts and is equal to the value of the options premium multiplied by the quantity of options purchased.
For example, if 1000 call options on ABC Ltd are purchased at Rs. 20/-, and the investor has no other positions, then the premium margin is Rs. 20,000. The margin is to be paid at the time trade. Assignment Margin is collected on assignment from the sellers of the contracts.
No. Margin benefit is not provided for positions on different underlying in F&O segment.
Do I get margin benefit if I have positions in both futures and options on same underlying?
Do I get margin benefit if I have counter positions in different months on same underlying?
Yes. Margin benefit is provided for positions in futures and options contracts on the same underlying.
Yes. In case of calendar spread positions margin benefit is provided. However, the benefit is removed three days prior to expiry of the near month contract.
Impact Cost
Liquidity in the context of stock markets means a market where large orders can be executed without incurring a high transaction cost. The transaction cost referred here is not the fixed costs typically incurred like brokerage, transaction charges, depository charges etc. but is the cost attributable to lack of market liquidity as explained subsequently. Liquidity comes from the buyers and sellers in the market, who are constantly on the look out for buying and selling opportunities. Lack of liquidity translates into a high cost for buyers and sellers.
The electronic limit order book (ELOB) as available on NSE is an ideal provider of market liquidity. This style of market dispenses with market makers, and allows anyone in the market to execute orders against the best available counter orders. The market may thus be thought of as possessing liquidity in terms of outstanding orders lying on the buy and sell side of the order book, which represent the intention to buy or sell.
When a buyer or seller approaches the market with an intention to buy a particular stock, he can execute his buy order in the stock against such sell orders, which are already lying in the order book, and vice versa. An example of an order book for a stock at a point in time is detailed below:
Buy
|
|
|
Sell
|
|
|
Sr.No.
|
Quantity
|
Price
|
Quantity
|
Price
|
Sr. No.
|
1
|
1000
|
3.50
|
2000
|
4.00
|
5
|
2
|
1000
|
3.40
|
1000
|
4.05
|
6
|
3
|
2000
|
3.40
|
500
|
4.20
|
7
|
4
|
1000
|
3.30
|
100
|
4.25
|
8
|
There are four buy and four sell orders lying in the order book. The difference between the best buy and the best sell orders (in this case, Rs.0.50) is the bid-ask spread. If a person places an order to buy 100 shares, it would be matched against the best available sell order at Rs. 4 i.e. he would buy 100 shares for Rs. 4. If he places a sell order for 100 shares, it would be matched against the best available buy order at Rs. 3.50 i.e. the shares would be sold at Rs.3.5.
Hence if a person buys 100 shares and sells them immediately, he is poorer by the bid-ask spread. This spread may be regarded as the transaction cost which the market charges for the privilege of trading (for a transaction size of 100 shares).
Progressing further, it may be observed that the bid-ask spread as specified above is valid for an order size of 100 shares unto 1000 shares. However for a larger order size the transaction cost would be quite different from the bid-ask spread.
Suppose a person wants to buy and then sell 3000 shares. The sell order will hit the following buy orders:
Sr.
|
Quantity
|
Price
|
1
|
1000
|
3.50
|
2
|
1000
|
3.40
|
3
|
1000
|
3.40
|
While the buy order will hit the following sell orders:
Quantity
|
Price
|
Sr.
|
2000
|
4.00
|
5
|
1000
|
4.05
|
6
|
This implies an increased transaction cost for an order size of 3000 shares in comparison to the impact cost for order for 100 shares. The "bid-ask spread" therefore conveys transaction cost for a small trade.
This brings us to the concept of impact cost. We start by defining the ideal price as the average of the best bid and offer price, in the above example it is (3.5+4)/2, i.e. 3.75. In an infinitely liquid market, it would be possible to execute large transactions on both buy and sell at prices which are very close to the ideal price of Rs.3.75. In reality, more than Rs.3.75 per share may be paid while buying and less than Rs.3.75 per share may be received while selling. Such percentage degradation that is experienced vis-à-vis the ideal price, when shares are bought or sold, is called impact cost. Impact cost varies with transaction size.
For example, in the above order book, a sell order for 4000 shares will be executed as follows:
Sr.
|
Quantity
|
Price
|
Value
|
|
1
|
1000
|
3.50
|
3500
|
|
2
|
1000
|
3.40
|
3400
|
|
3
|
2000
|
3.40
|
6800
|
|
Total value
|
|
13700
|
Wt. average price
|
|
3.43
|
|
|
|
|
|
|
|
The sale price for 4000 shares is Rs.3.43, which is 8.53% worse than the ideal price of Rs.3.75. Hence we say "The impact cost faced in buying 4000 shares is 8.53%".
Definition
Impact cost represents the cost of executing a transaction in a given stock, for a specific predefined order size, at any given point of time. Impact cost is a practical and realistic measure of market liquidity; it is closer to the true cost of execution faced by a trader in comparison to the bid-ask spread.
It should however be emphasized that:
(a) Impact cost is separately computed for buy and sell
(b) Impact cost may vary for different transaction sizes
(c) Impact cost is dynamic and depends on the outstanding orders
(d) Where a stock is not sufficiently liquid, a penal impact cost is applied
In mathematical terms it is the percentage mark up observed while buying / selling the desired quantity of a stock with reference to its ideal price (best buy + best sell) / 2.
Example A:
ORDER BOOK SNAPSHOT
|
|
|
Buy Quantity
|
Buy Price
|
Sell Quantity
|
Sell Price
|
|
1000
|
98
|
1000
|
99
|
|
2000
|
97
|
1500
|
100
|
|
1000
|
96
|
1000
|
101
|
|
|
|
|
|
|
|
|
TO BUY 1500 SHARES: