Fast pricing of variance and volatility swaps (capped or uncapped), options on var and vol, and corridor and conditional variance.
Consistently price and hedge variance and volatility derivatives and vanilla options under the same spot-vol dynamics assumption (or, alternatively, greeks can be calculated under “sticky-strike” assumptions).
Either use the default calibration of a simple log-normal model from the vol surface of the underlier, or use your own vol surface for the future variance to price and risk-manage all vol contracts together.
Pricing of aged vol derivatives — combining historical realized vol and future implied vol into a current market-to-market value.