Although the finance literature has devoted a lot of research into the development of advanced models for improving the pricing and hedging performance, there has been much less emphasis on approaches to measure dynamic hedging effectiveness. This article discusses a statistical framework based...

Variable annuities (VAs) are highly popular personal savings and investment products with long-term financial guarantees. The hedging of these guarantees is crucial for VA providers, but is complicated by basis risk, i.e. the discrepancy in returns between the underlying mutual fund and suitable...

Local and global quadratic hedging are alternatives to delta hedging that more appropriately address the hedging problem in incomplete markets. The objective of this article is to investigate and contrast the effectiveness of these strategies under GARCH models, both experimentally and...

Recent research has shown that global quadratic hedging, also known as variance-optimal hedging and mean-variance hedging, can significantly reduce the risk of hedging call and put options with long-term maturities (one year or more), such as Long-Term Equity AnticiPation Securities (LEAPS). We...

Variable annuities are investment vehicles offered by insurance companies that combine a life insurance policy with long-term financial guarantees. These guarantees expose the insurer to market risks, such as volatility and interest rate risks, which can only be managed with a hedging strategy....

The Markov-switching GARCH model allows for a GARCH structure with time-varying parameters. This flexibility is unfortunately undermined by a path dependence problem which complicates the parameter estimation process. This problem led to the development of computationally intensive estimation...

The Markov-switching GARCH model offers rich dynamics to model financial data. Estimating this path dependent model is a challenging task because exact computation of the likelihood is infeasible in practice. This difficulty led to estimation procedures either based on a simplification of the...

A new model - the factorial hidden Markov volatility (FHMV) model - is proposed for financial returns and their latent variances. It is also applicable to model directly realized variances. Volatility is modeled as a product of three components: a Markov chain driving volatility persistence, an...

This paper proposes an efficient way to implement quadratic hedging schemes for European options when the asset return process follows an asymmetric non-affine GARCH model driven by Gaussian innovations. More specifically, using a lattice approximation for the underlying, we construct locally...