2022/02/16 by Matt Davison, Davison, Matt, Marcos Escobar‐Anel +3
Economics, Econometrics and Finance · Social Sciences · #Stochastic processes and financial applications #Insurance, Mortality, Demography, Risk Management #Financial Markets and Investment Strategies
paper · pdf · doi:10.48550/arxiv.2202.08148
This paper investigates the optimal choices of financial derivatives to complete a financial market in the framework of stochastic volatility (SV) models. We introduce an efficient and accurate simulation-based method, applicable to generalized diffusion models, to approximate the optimal derivatives-based portfolio strategy. We build upon the double optimization approach (i.e. expected utility maximization and risk exposure minimization) proposed in Escobar-Anel et al. (2022); demonstrating that strangle options are the best choices for market completion within equity options. Furthermore, we explore the benefit of using volatility index derivatives and conclude that they could be more convenient substitutes when only long-term maturity equity options are available.