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Updated: May 15, 2025
Quantifying volatility has yielded an equal number of Nobel prizes and controversies. The vacillation of security prices is often measured by a coefficient of variation within the Black-Scholes formula published in 1973. Volatility is implicitly defined as the standard deviation of the yield of an asset. The value of an option increases with volatility.
The mental process they go through, as far as that one judgment is concerned, is precisely identical; though some of them may go on farther, and add other judgments to it. The last sentence cited from Mr Mill indicates the vice of Sir W. Hamilton's proceeding in quantifying the predicate, and explains why it was that logicians before him declined to do so.
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