by Gabriel Desgranges, Stéphane Gauthier
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Suggested foundations for volatility models and surfaces and asset pricing and factor research. Specialist prerequisites vary by paper.
Follow diffusion-based models and their assumptions.
Separate conditional volatility from observed returns.
Interpret exposures, residuals and uncertainty in fitted coefficients.
Work with returns and recognise their empirical limitations.
Study a correlated stochastic-variance model.
Interpret prices across strikes and expiries.
Connect factor definitions to portfolio construction.
Start in discrete time, move to Brownian motion, then read the original pricing argument and simulate it.
Connect diversification, common risk factors, investor views, and the properties of a risk measure.