We propose a novel dynamic approach to forecast the weights of the global minimum variance portfolio (GMVP). The GMVP weights are the population coefficients of a linear regression of a benchmark return on a vector of return differences. This representation enables us to derive a consistent loss...

Using option market data we derive naturally forward-looking, nonparametric and model-free risk estimates, three desired characteristics hardly obtainable using historical returns. The option-implied measures are only based on the first derivative of the option price with respect to the strike...