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volatility and its curve resembles a smile, meaning that the introduction of jumps is quantified via a smile according to implied … volatility. In order to derive such an implied volatility smile, an iterative search procedure referred to as the Newton …-Raphson algorithm is proposed. Numerical experiments of both the in-house pricing formula and its implied volatility recursive algorithm …
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is an open question if warrant issuers purely adopt options market information about future volatility or if they … contribute to volatility discovery by their own. As a result, the options market is in a clear informational leadership with an … information share highly significant above 0.5. Nevertheless, the aggregated warrants market also contributes to volatility …
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• It is not widely emphasized in the literature that derivatives are complex random quantities which should, by custom, be characterized by their probability density functions. • It is understood that Black-Scholes style of derivatives pricing represents an expected value, i.e. the...
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along with the specification of (a) the initial density, and (b) the volatility structure of the density. The volatility …
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