"This paper proposes a new tractable approach to solving asset allocation problems in situations with a large number of risky assets which pose problems for standard numerical approaches. Investor preferences are assumed to be defined over moments of the wealth distribution such as its skewness...

"One key stylized fact in the empirical option pricing literature is the existence of an implied volatility surface (IVS). The usual approach consists of fitting a linear model linking the implied volatility to the time to maturity and the moneyness, for each cross section of options data....