Discuss the Black-Scholes formula on derivative pricing.

The Black-Scholes formula is a critical model in financial markets, especially for the pricing of options and derivatives. Developed by economists Fischer Black and Myron Scholes in 1973, with contributions from Robert Merton, it revolutionized financial theory by providing a systematic approach to pricing European-style options. The Black-Scholes formula has become a cornerstone of modern finance, particularly in understanding how financial derivatives are priced and traded. 

The primary application of the Black-Scholes formula is in the pricing of options—contracts that give the holder the right, but not the obligation, to buy or sell an underlying asset at a specified price on or before a certain date. There are two main types of options: call options, which give the holder the right to buy the underlying asset, and put options, which give the right to sell the underlying asset. The formula provides a ___ ______ ___ _____ _____ ___ ____ ______ _____ ___ ____ _____.
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