Black-Scholes

Regulatory costs break risk neutrality

Regulations impose idiosyncratic capital and funding costs for holding derivatives. Idiosyncratic costs mean that no single measure makes derivatives martingales for all market participants. Chris Kenyon and Andrew Green demonstrate that regulatory…

Risk reaches 25-year anniversary

In celebration of our 25th anniversary this year, Risk re-publishes a landmark article by Fischer Black, offering a critique of the Black-Scholes model

Quanto adjustments in the presence of stochastic volatility

It is well known that the quanto adjustment in the drift of the underlying has a significant impact on the prices of quanto options. Alexander Giese points out that an additional quanto adjustment in the underlying’s volatility needs to be considered in…

Parameter estimation with k-means clustering

Ever since the pioneering work of Cox, Ross & Rubinstein (1979), tree models have been popular as an asset pricing method. However, statistical estimation of the parameters of tree models has been less studied. In this article, Kiseop Lee and Mingxin Xu…

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