Quantitative Finance : [PDF Download]

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“The party that gives the right to trade is called the option underwriter or short the option writer. The writer can either own the particular underlying asset in which case the option is called “covered” or provide means to purchase the asset in which case the option is called “naked.”

The party that buys the option becomes the holder of the contract. The holder has the option to exercise the trade – this gives the name of the contract. In return for this option right the holder must pay a certain amount called the option premium.

Most of quantitative finance is dedicated to calculate this option premium. There are two fundamental option types. A Call type option gives the holder the right to buy the underlying asset. A Put type option gives the holder the right to sell the underlying.”

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