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...

The aim of this paper is to provide more transparency regarding risk parity portfolios. We design a structural framework to properly describe, evaluate, and improve the performance characteristics of risk parity portfolios. This is achieved by segregating the input parameter for the risk parity...

Transaction cost variance introduces a risk often neglected in portfolio optimization. We define a mean-variance portfolio optimization problem and show that including a transaction cost variance term significantly impacts the performance of these portfolios. Transaction cost variance is...

We define and develop an approach for risk budgeting allocation -- a risk diversification portfolio strategy -- where risk is measured using a dynamic time-consistent risk measure. For this, we introduce a notion of dynamic risk contributions that generalise the classical Euler contributions and...

We investigate the out-of-sample diversification benefits of risk parity portfolios by analyzing the properties an asset class has to fulfill in order to be beneficial in a risk parity strategy and compare them with benefits present in other heuristic weighting techniques, especially risk-based...

Numerical calculation of Value-at-Risk (VaR) for large-scale portfolios poses great challenges to financial institutions. The problem is even more daunting for large fixed-income portfolios as their underlying instruments have exposure to higher dimensions of risk factors. This article provides...

Defined-benefit (DB) pension funds, which are often underfunded, rely on the legal obligation of their sponsor to secure pension rights. This paper is the first to solve the optimal portfolio choice problem of pension funds taking into account the risk on the sponsor's guarantee, and we show...

While it is common knowledge that portfolio separation in a continuous-time lognormal market is due to the basic properties of the Gaussian distribution, the usual textbook exposition relies on dynamic programming and thus Itô stochastic calculus and the appropriate regularity conditions. This...

For pension-savers, a low payoff is a financial disaster. Such investors will most likely prefer left-skewed payoff distributions over right-skewed payoff distributions. We explore how such distributions can be delivered. Cautious-relaxed utility measures are cautious in ensuring that payoffs...

A healthy financial system encourages the efficient allocation of capital and risk. The collapse of the house price bubble led to the financial crisis that started in 2007. There is a large empirical literature concerning the relation between asset price bubbles and financial crises. I evaluate...