This paper provides a critique of minimum variance hedging using futures. The paper develops the conventional minimum variance hedge ratio (MVHR) and discusses its estimation. A review of the wide variety of alternative methods used to construct MVHRs is then performed. These methods highlight...

This paper provides a critique of minimum variance hedging using futures. The paper develops the conventional minimum variance hedge ratio (MVHR) and discusses its estimation. A review of the wide variety of alternative methods used to construct MVHRs is then performed. These methods highlight...

The CEV (constant elasticity of variance) and displaced diffusion processes have been posited as suitable alternatives to a lognormal process in modelling the dynamics of market variables such as stock prices and interest rates. Marris (1999) noted that, for a certain parameterization, option...

We consider the joint dynamic of a basket of n-assets where each asset itself follows a SABR stochastic volatility model. Using the Markovian Projection methodology we approximate a univariate displaced diffusion SABR dynamic for the basket to price caps and floors in closed form. This enables...

We develop a systematic approach to Markovian projection onto an effective displaced diffusion, and work out a set of computationally efficient formulas valid for a large class of non-Markovian underlying processes. The generic derivation is followed by applications, including the calculation of...

This work presents the first systematic analysis of the whole swaption matrix by fitting a parsimonious, nonlinear, financially-inspired volatility model to market data. The study uses several years of data spanning period of major market volatility. We find that the quality of the fits is good...