Traditional portfolio optimization models specify placement of capital as rather irrevocably and fully at risk through investment horizon(s) or continuously. Under this constraint, asset class allocation typically serves as primary mode of diversification, pursuing risk moderation by seeking to...

Risk-averse expected utility maximization implies that the pricing kernel must be a non-increasing function of aggregate wealth. However, empirical research has found that the pricing kernel frequently displays a locally increasing portion in aggregate wealth. This is known as the pricing kernel...

The quotient of random variables with normal distributions is examined and proven to have have power law decay, with density f(x)~f_0 x^(-2), with the coefficient depending on the means and variances of the numerator and denominator, and their correlation. We also obtain the conditional...

A random variable dominates another random variable with respect to the covariance order if the covariance of any two monotone increasing functions of this variable is smaller. We characterize completely the covariance order, give strong sufficient conditions for it, present a number of examples...

We show that if sophisticated institutional managers and individual investors perceive tail-risks differently, then a new explanation for the pricing kernel puzzle emerges. We show, by example, that even a tiny difference in tail-risk perception by the two investor types can explain the pricing...

In this paper we estimated IBM beta from 2000 to 2013, then using differential equation mathematical formula we split up the annual beta’s change attributed to the volatility market effect, the stock volatility effect, the correlation effect and the jointly effect of these variables.

The relationship between prices of paintings at public auctions and their attributes has received much attention in recent years. However, the effects of color have been mostly absent from these studies. The present study explored the relationship between price and color in Rothko’s post 1950...

In this paper we will try to improve on the Modern Portfolio Theory (MPT) as developed by Markowitz (1952). As a first step, we combine the MPT model with generalized momentum (see Keller 2012) in order to arrive at a "tactical" MPT. In our second step, we will use the single index model (Elton,...

Recent work showed that securities prices behave as quantum chaotic quantities that described by quantum equations. We study pricing of European style options under that framework. The resulting volatility surface exhibits the smile and other characteristics of equity options. Additionally, we...

In 1952 Harry Markowitz put forth a solution to the portfolio selection process. He summarizes the stages and objectives with the following, “The process of selecting a portfolio may be divided into two stages. The first stage starts with observation and experience and ends with beliefs about...