Heterogeneous beliefs among market participants can lead to questionable speculative trading that goes beyond any risk-sharing motives. We demonstrate that such unwarranted betting behavior in market equilibrium can be mitigated by introducing nonlinear pricing for ambiguous contracts, without...

This paper presents an efficient algorithm for computing the allocation weights of the risk parity portfolio (or the more general risk budget portfolio) based on Newton's method. The algorithm is provably convergent, and in dimension < 1000 requires on average less than 5 iterations

Risk parity is a portfolio construction technique that scales sections of a portfolio—e.g., stocks, bonds, currencies, commodities—so that forecasted contributions to net portfolio risk match the budget. Because risks are measured from a point-estimate of covariance, the method is subject to...

We revisit mean-risk portfolio selection in a one-period financial market where risk is quantified by a positively homogeneous risk measure ρ on L1. We first show that under mild assumptions, the set of optimal portfolios for a fixed return is nonempty and compact. However, unlike in classical...

This article studies the impact of carbon risk on stock pricing. To address this, we consider the seminal approach of Görgen et al. (2019), who proposed estimating the carbon financial risk of equities by their carbon beta. To achieve this, the primary task is to develop a brown-minus-green (or...

The aim of this paper is to examine the diversification capability of energy commodities in a portfolio comprising the stock market index, crude oil and natural gas in the Asia-Pacific region. In a first step, we identify the impact of market disturbances on the selected sample period on the...

This paper studies optimal equity portfolios with long-term horizon under heterogeneous risk aversion levels. We focus on European stocks and empirically show that contemporaneous excess returns of semi-active strategies are negatively associated with market conditions and sentiment. Consistent...

An optimization method is developed for constructing investment portfolios which stochastically dominate a given benchmark for all decreasing absolute risk-averse investors, using Quadratic Programming. The method is applied to standard data sets of historical returns of equity price reversal...