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 derive the optimal corporate pension portfolio policy in a consolidated setting in the presence of PBGC insurance. The paper's result formalizes the forces of risk shifting and risk management that shape the form of the corporate pension portfolio. As in Rauh (2009), the risk-shifting and...

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...

This paper introduces a sparse and stable optimization approach for a multi-currency asset allocation problem. We study the benefits of joint optimization of assets and currencies as opposed to the standard industry practice of managing currency risk via so-called currency overlay strategies. In...

Defined-benefit (DB) pension funds, often underfunded, rely on the legal obligation of their sponsor to secure pension rights for individuals.Because that guarantee is risky, ways must be found to secure the pension promises. This paper is the first to identify the optimal pension fund...

We analyze optimal investment strategies under the drawdown constraint that the wealth process never falls below a fixed fraction of its running maximum. We derive optimal allocation programs by solving numerically the Hamilton-Jacobi-Bellman equation that characterizes the finite horizon...

This article studies the optimal portfolio selection of expected utility maximizing investors who must also manage their market-risk exposures. The risk is measured by a so-called weighted Value-at-Risk (WVaR) risk measure, which is a generalization of both Value-at-Risk (VaR) and Expected...

Today's asset management academia and practice is dominated by mean-variance thinking. In consequence, this leads to the quantification of the dependence structure of asset returns by the covariance or the Pearson's correlation coefficient matrix. However, the respective dependence measures are...

Defined-benefit (DB) pension funds, often underfunded, rely on the legal obligation of their sponsor to secure pension rights for individuals. The sponsor guarantee being risky, its riskiness must be hedged to secure the pension promises. This appendix details the implementation of the extended...

Traditional risk measures such as standard deviation and CVaR are properties of the distribution of returns over a specified investment horizon. Because such fixed holding period analysis is relatively easy, and because derivative contracts are fixed-term products, the analysis of derivative...