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W-shaped implied volatility curves in a variance-gamma mixture model

Martin Keller-Ressel

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Abstract: In liquid option markets, W-shaped implied volatility curves have occasionally be observed. We show that such shapes can be reproduced in a mixture of two variance-gamma models. This is in contrast to lognormal models, where at least three different distributions have to be mixed in order to produce a W-shape, as recently shown by Glasserman and Pirjol.

Date: 2022-09
New Economics Papers: this item is included in nep-rmg
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