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It is now common for finance textbooks to discuss the concepts of the CAPM, diversification benefit, and systematic risk, as measured by beta. The purpose of this paper is to clarify aspects of these concepts and make the textbooks readers aware of them. In particular, this paper seeks to: (1) clarify the notion that “diversification reduces risk,” (2) provide geometric expositions and algebraic expressions of portfolio benefits in the context of both total risk and market risk, and (3) improve the interpretation of beta.

This paper seeks to address the question of consistency, regarding the allocation of real estate in the mixed‐asset portfolio.

To address the question of consistency the allocation of real estate in the mixed‐asset portfolio was calculated over different holding periods varying from five to 25 years. For each portfolio and holding period, the percentage of portfolios with real estate was computed, as was the average real estate allocation in the optimum solution. Then, the risk and return differences between the two efficient frontiers, with and without real estate, were calculated to estimate real estate's marginal impact on portfolio performance.

First, the results suggest strongly that real estate has possessed the attribute of consistency in optimised portfolios. Second, the benefits from including real estate in the mixed‐asset portfolio tend to increase as the investment horizon is extended. Third, the position of real estate changes across the efficient frontier from its return enhancing ability to its risk‐reducing facility. Finally, the results show that the gain in return from adding real estate to the mixed‐asset portfolio is typically less compared with the reduction in portfolio risk.

The results highlight a number of issues in relation to the role of direct real estate within a mixed‐asset framework. In particular, the rationale behind the inclusion of real estate in the mixed‐asset portfolio depends on the length of the holding period of the investor and their position on the efficient frontier.

The study examines the attractiveness of direct real estate in the context of mixed‐asset portfolio.

This study investigates the diversification benefits of multiple cryptocurrencies and their usefulness as investment assets, individually or combined, in enhancing the performance of a well-diversified portfolio of traditional assets before and during the pandemic COVID-19.

This paper uses two optimization techniques, namely the mean-variance and the maximum Sharpe ratio. The naïve diversification rules are used for comparison. Besides, the Sharpe and the Sortino ratios are used as performance measures.

The results show that cryptocurrencies diversification benefits occur more during the COVID-19 pandemic rather than before it, with the maximum Sharpe ratio portfolio presenting its highest performance. Furthermore, the results suggest that, during COVID-19, the diversification benefits are slightly better when using a combination of cryptocurrencies to an already well-diversified portfolio of traditional assets rather than individual ones. This serves to improve the performance of the maximum Sharpe ratio portfolio, and to some extent, the naïve portfolio. Yet, cryptocurrencies, whether added individually or combined to a well-diversified portfolio of traditional assets, don't fit in the minimum variance portfolio. Besides, the efficient frontier during COVID-19 pandemic dominates the one before COVID-19 pandemic, giving the investor a better risk-return trade-off.

To the best of the author's knowledge, this is the first study that examines the diversification benefits of multiple cryptocurrencies both as individual investments and as additional asset classes, before and during COVID-19 pandemic. The paper covers all analyses performed separately in previous studies, which brings new evidence regarding the potential for cryptocurrencies in portfolio diversification under different portfolio strategies.

This paper aims to examine from commodity portfolio managers’ perspective the performance of liquidity adjusted risk modeling in assessing the market risk parameters of a large commodity portfolio and in obtaining efficient and coherent portfolios under different market circumstances.

The implemented market risk modeling algorithm and investment portfolio analytics using reinforcement machine learning techniques can simultaneously handle risk-return characteristics of commodity investments under regular and crisis market settings besides considering the particular effects of the time-varying liquidity constraints of the multiple-asset commodity portfolios.

In particular, the paper implements a robust machine learning method to commodity optimal portfolio selection and within a liquidity-adjusted value-at-risk (LVaR) framework. In addition, the paper explains how the adapted LVaR modeling algorithms can be used by a commodity trading unit in a dynamic asset allocation framework for estimating risk exposure, assessing risk reduction alternates and creating efficient and coherent market portfolios.

The optimization parameters subject to meaningful operational and financial constraints, investment portfolio analytics and empirical results can have important practical uses and applications for commodity portfolio managers particularly in the wake of the 2007–2009 global financial crisis. In addition, the recommended reinforcement machine learning optimization algorithms can aid in solving some real-world dilemmas under stressed and adverse market conditions (e.g. illiquidity, switching in correlations factors signs, nonlinear and non-normal distribution of assets’ returns) and can have key applications in machine learning, expert systems, smart financial functions, internet of things (IoT) and financial technology (FinTech) in big data ecosystems.

Index by subjects, compiled by K.G.B. Bakewell covering the following journals: Facilities Volumes 8‐17; Journal of Property Investment & Finance Volumes 8‐17; Property Management Volumes 8‐17; Structural Survey Volumes 8‐17.

US commercial property is an important investment opportunity for institutional investors. The purpose of this paper is to assess the significance, risk-adjusted performance and portfolio diversification benefits of US commercial property (both direct property and REITs) in a mixed-asset portfolio over 1994-2016. The 2009-2016 post-GFC recovery of US commercial property is specifically highlighted.

Using quarterly total returns, the risk-adjusted performance and portfolio diversification benefits of US commercial property over 1994-2016 are assessed. Efficient frontier and asset allocation diagrams are used to assess the role of US commercial property in a mixed-asset portfolio. Sub-period analysis over 2009-2016 is used to assess the post-GFC recovery of US commercial property.

US commercial property delivered mixed results over 1994-2016; direct property gave the best risk-adjusted performance, while US-REITs performance was hampered by high volatility. Since the GFC, both forms of US commercial property have delivered stronger risk-adjusted returns with improved diversification benefits, especially in the context of an inter-property investment strategy. However, US-REITs did not improve their diversification benefits with the stock market over this period. This sees US commercial property as an important component in the US mixed-asset portfolio in the post-GFC environment, with a much stronger role exhibited by US direct property in the post-GFC mixed-asset portfolio.

US commercial property emerged from the GFC as a stronger and more robust property investment opportunity, with both the direct property and US-REITs fully recovered to their pre-GFC performance level in 2012. The results highlight the major role of US commercial property in a US mixed-asset portfolio in the post-GFC context. The superior risk-adjusted performance of US commercial property sees both direct and listed US commercial property contributing significantly to the mixed-asset portfolio throughout the entire risk-return spectrum, particularly direct property. Given the increased capital flows into the US property market since the GFC, this is particularly important as many investors, both local and international, use direct and listed property investment opportunities as conduits for their significant US commercial property exposure.

This paper is the first published empirical research analysis that specifically assessed the post-GFC performance and role of US commercial property in a mixed-asset portfolio. This research enables empirically validated, more informed and practical property investment decision making by institutional investors regarding the strategic role of US commercial property in a mixed-asset portfolio in a post-GFC context.

Compiled by K.G.B. Bakewell covering the following journals published by MCB University Press: Facilities Volumes 8‐18; Journal of Property Investment & Finance Volumes 8‐18; Property Management Volumes 8‐18; Structural Survey Volumes 8‐18.

Compiled by K.G.B. Bakewell covering the following journals published by MCB University Press: Facilities Volumes 8‐17; Journal of Property Investment & Finance Volumes 8‐17; Property Management Volumes 8‐17; Structural Survey Volumes 8‐17.

Index by subjects, compiled by K.G.B. Bakewell covering the following journals: Facilities Volumes 8‐18; Journal of Property Investment & Finance Volumes 8‐18; Property Management Volumes 8‐18; Structural Survey Volumes 8‐18.

Compiled by K.G.B. Bakewell covering the following journals published by MCB University Press: Facilities Volumes 8‐18; Journal of Property Investment & Finance Volumes 8‐18; Property Management Volumes 8‐18; Structural Survey Volumes 8‐18.