An Extended Family of Financial-Risk Measures

Recalling the class of risk measures introduced by Stone [1973], the authors survey measures from different academic disciplines—including psychology, operations research, management science, economics, and finance—that have been introduced since 1973. We introduce a general class of risk measures that extends Stone's class to include these new measures. Finally, we give four axioms that describe necessary attributes of a good financial risk measure and show which of the measures surveyed satisfy these. We demonstrate that all measures that satisfy our axioms, as well as those that do not but are commonly used in finance, belong to our new generalized class.     

Reversing disbursement rates to estimate stationary wealth processes for endowments with recursive preferences

Endowments have been accused of hoarding their wealth. However, the theoretically ideal spending plan remains unclear and, in practice, endowments follow a range of rules. Here we derive and estimate the optimal spending plans of an infinitely lived charity or endowment with an Epstein-Zin-Weil utility function, given general Markovian returns to wealth. We analyse two special cases: first, where spending is a power function of last period’s wealth; and second where the endowment uses ‘payout smoothing’. Via non-linear least squares, we estimate the optimal spending rate and the elasticity of inter-temporal substitution for an endowment with a typical diversified portfolio and for a portfolio of hedge funds. In a new approach, we use maximum entropy methods to characterize the returns distribution of an endowment whose spending plan conforms with the optimality condition. We confirm that the estimated returns distribution is largely consistent with the optimal spending plan.     

How loss averse are investors in financial markets?

We investigate loss aversion in financial markets using a typical asset allocation problem. Our theoretical and empirical results show that investors in financial markets are more loss averse than assumed in the literature. Moreover, loss aversion changes depending on market conditions; investors become far more loss averse during bull markets than during bear markets, indicating their more profound disutility for losses when others enjoy gains. Contrary to most previous results, we find that investors are more sensitive to changes in losses than changes in gains.     

Interactions Between Property and Equity Markets: An Investigation of Linkages in the United Kingdom 1972–1992

Two strands of real estate research—that concerned with the relationships between securitized real estate and the underlying market and that dealing with the role of property in the wider economy—rarely are considered together. The paper utilizes the U.K. equity market and property company share data to explore the relationships between real estate and the rest of the economy, using a two-sector analytic model. Causality analysis suggests that the wider economy leads the real estate market in the short term but that, with a longer lag structure, positive real estate returns may point to negative future returns in the rest of the economy. This provides weak confirmatory evidence for theories of capital switching between sectors.     

Investment decisions when utility depends on wealth and other attributes

The problem of optimal investment under a multivariate utility function allows for an investor to obtain utility not only from wealth, but other (possibly correlated) attributes. In this paper we implement multivariate mixtures of exponential (mixex) utility to address this problem. These utility functions allow for stochastic risk aversions to differing states of the world. We derive some new results for certainty equivalence in this context. By specifying different distributions for stochastic risk aversions, we are able to derive many known, plus several new utility functions, including models of conditional certainty equivalence and multivariate generalisations of HARA utility, which we call dependent HARA utility. Focusing on the case of asset returns and attributes being multivariate normal, we optimise the asset portfolio, and find that the optimal portfolio consists of the Markowitz portfolio and hedging portfolios. We provide an empirical illustration for an investor with a mixex utility function of wealth and sentiment.     

The Underlying Return-Generating Factors for REIT Returns: An Application of Independent Component Analysis

Multifactor approaches to real estate returns have emphasized a macro-variables approach in preference to the latent factor approach originally used in arbitrage pricing theory. Use of high-frequency data, trading strategies and growing emphasis on the risks of extreme events makes the macrovariable procedure problematic. This article explores an alternative to the principal components analysis approach: independent components analysis (ICA). ICA seeks independence and maximizes a chosen risk parameter. We apply an ICA procedure based on a kurtosis maximization algorithm to real estate investment trust (REIT) data. The results show that ICA successfully captures kurtosis characteristics of REIT returns, offering possibilities for developing of risk management strategies that are sensitive to extreme events and tail distributions, augmenting traditional mean–variance approaches.