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Modeling Volatility and Valuing Derivatives Under Anchoring
Paul Wilmott, Daniel Duffy & Alan Lewis

We develop a complete-markets model with volatility smiles, tractability, and intuitive appeal as an anchoring or habit-formation model. Like traditional stochastic volatility models, it is invariant to a multiplicative scaling the stock price levels. The anchoring effect is that the volatility depends on the relative value of the current stock price compared to its past history, with an exponential weighting.

Click here for free access to this and more exclusive content from the September Issue of Wilmott Magazine.

In Focus - Xenomorph
Brian Sentance

The firm behind TimeScape deals with data from every possible perspective, innovating to the point where users can now monetize their own data...

Click here for access to more exclusive Wilmott Magazine articles.

Resampling vs. Shrinkage for Benchmarked Managers: Wilmott Magazine Article
Michael Wolf 434 Views

A well-known pitfall of Markowitz (1952) portfolio optimization is that the sample covariance matrix, which is a critical input, is very erroneous when there are many assets to choose from. If unchecked, this phenomenon skews the optimizer towards extreme weights that tend to perform poorly in the real world.

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