Description: This abstract describes a paper that reverses the sequence of the Euler (or gradient) allocation technique by calculating the marginal costs of risk exposures for a profit maximizing financial institution with risk averse counterparties, and then identifying a closed-form solution for the risk measure whose gradient delivers the correct marginal costs.

Description: This abstract describes a paper that demonstrates that option values generally considered to be strictly positive as they provide the holder with the right – but not the obligation – to execute a transaction, may not be true within personal savings products.

Description: This abstract describes a paper that develops a risk-neutral valuation methodology that takes different tax structures into consideration and applies it to a simplified withdrawal guarantee as well as a representative empirical Variable Annuity contract.