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The Bottom Line Options are contracts that give option buyers the right to buy or sell a security at a predetermined price on or before a specified day. The price of an option, called the premiumis composed of a number of variables.

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During his two-decade career in Asia and the US, Nathan has consulted in strategy, valuations, corporate finance and financial planning. Options, which come in the form of calls and puts, grant a right, but not an obligation to a buyer.

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By Balazs Mezofi and Kristof Szabo InFischer BlackMyron Scholes and Robert Merton published their now-well-known options pricing formulawhich would have a significant influence on the development of quantitative finance. Their pricing formula was a theory-driven model based on the assumption that stock prices follow geometric Brownian motion. Considering that the Chicago Board Options Exchange CBOE opened inthe floppy disk had been invented just two years earlier and IBM was still eight years away from introducing its first PC which had two floppy drivesusing a data-driven approach based on real-life options prices would have been quite complicated at the time for Black, Scholes and Merton. Although their solution is remarkable, it is unable to reproduce some empirical findings.

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As a result, time value is often referred to as an option's extrinsic value since time value is the amount by which the price of an option exceeds the intrinsic value. Time value is essentially the risk premium the option seller requires to provide the option buyer the right to buy or sell the stock up to the date the option expires. Typically, stocks with high volatility have a higher probability for the option to be profitable or in-the-money by expiry. As a result, the time value—as a component of the option's premium—is typically higher to compensate for the increased chance that the stock's price could move beyond the strike price and expire in-the-money.

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