This paper treats the risk-averse optimal portfolio problem with consumption in continuous time for a stochastic-jump-volatility, jump-diffusion (SJVJD) model of the underlying risky asset and the volatility. The new developments are the use of the SJVJD model with...

In classical perfect and complete markets prices form a Martingale and stock returns (or equivalently, successive price changes) are serially uncorrelated. However, there is evidence that stock returns are serially correlated in both the short and the long-term; this has been construed as a...

In classical perfect and complete markets, prices form a Martingale and stock returns (or equivalently, successive price changes) are serially uncorrelated. However, there is considerable evidence in the finance literature showing that stock returns are serially correlated both in the short and...

Present market instabilities have prompted great interest on the characteristics of specific portfolios such as minimum variance and equally- weighted risk contribution portfolios as these portfolios do not rely on the estimate of expected returns. Indeed, in turmoil periods traditional market...

Financial volatility risk is addressed through a multiple round evolutionary quantum game equilibrium leading to Multifractal Self-Organized Criticality (MSOC) in the financial returns and in the risk dynamics. The model is simulated and the results are compared with financial volatility data

We show how to reduce the problem of computing VaR and CVaR with Student T return distributions to evaluation of analytical functions of the moments. This allows an analysis of the risk properties of systems to be carefully attributed between choices of risk function (e.g. VaR vs CVaR); choice...

Using equations that arise in quantum mechanics, this paper describes a way to more accurately and efficiently represent non-Gaussian return distributions than the standard method of invoking skewness and kurtosis. Then, it provides a new single intuitive number, defined here as the “crash...

This paper proposes a GARCH-jump mixed model for individual stock returns that takes into account four types of risks: the systematic and idiosyncratic jumps and the systematic and idiosyncratic diffusive volatility. By considering a general pricing kernel with all underlying risk factors, we...