A stock market, or equity market, is a private or public market for the trading of company stock and derivatives of company stock at an agreed price; these are securities listed on a stock exchange as well as those only traded privately.
The size of the world stock market is estimated at about $36.6 trillion US at the beginning of October 2008. The world derivatives market has been estimated at about $480 trillion face or nominal value, 12 times the size of the entire world economy. The value of the derivatives market, because it is stated in terms of notional values, cannot be directly compared to a stock or a fixed income security, which traditionally refers to an actual value. Many such relatively illiquid securities are valued as marked to model, rather than an actual market price.
The stocks are listed and traded on stock exchanges which are entities a corporation or mutual organization specialized in the business of bringing buyers and sellers of the organizations to a listing of stocks and securities together. The stock market in the United States includes the trading of all securities listed on the NYSE, the NASDAQ, the Amex, as well as on the many regional exchanges, e.g. OTCBB and Pink Sheets. European examples of stock exchanges include the London Stock Exchange, the Deutsche Börse and the Paris Bourse, now part of Euronext.
Now talking about Indian Stock Market:
The Bombay Stock Exchange Limited (formerly, The Stock Exchange, Mumbai; popularly called The Bombay Stock Exchange, or BSE) has the greatest number of listed companies in the world, with 4700 listed as of August 2007. It is located at Dalal Street, Mumbai, India. On 31 December 2007, the equity market capitalization of the companies listed on the BSE was US$ 1.79 trillion, making it the largest stock exchange in South Asia and the tenth largest in the world.
The Bombay Stock Exchange was established in 1875. Around 6,000 Indian companies list on the stock exchange, and it has a significant trading volume. The BSE SENSEX (SENSitive indEX), also called the "BSE 30", is a widely used market index in India and Asia. Though many other exchanges exist, BSE and the National Stock Exchange of India account for most of the trading in shares in India.
The National Stock Exchange of India Limited or S&P CNX NIFTY (NSE), is a Mumbai-based stock exchange. It is the largest stock exchange in India in terms of daily turnover and number of trades, for both equities and derivative trading. Though a number of other exchanges exist, NSE and the Bombay Stock Exchange are the two most significant stock exchanges in India, and between them are responsible for the vast majority of share transactions. The NSE's key index is the S&P CNX Nifty, known as the Nifty, an index of fifty major stocks weighted by market capitalisation.
NSE is mutually-owned by a set of leading financial institutions, banks, insurance companies and other financial intermediaries in India but its ownership and management operate as separate entities. There are at least 2 foreign investors NYSE Euronext and Goldman Sachs who have taken a stake in the NSE. As of 2006[update], the NSE VSAT terminals, 2799 in total, cover more than 1500 cities across India. In October 2007, the equity market capitalization of the companies listed on the NSE was US$ 1.46 trillion, making it the second largest stock exchange in South Asia. NSE is the third largest Stock Exchange in the world in terms of the number of trades in equities.It is the second fastest growing stock exchange in the world with a recorded growth of 16.6%.
Some of the Stock Broker In India are:

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