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PurposeThe purpose of this paper is to provide an analysis of the dependence structure between returns from real estate investment trusts (REITS) and a stock market index. Further, the aim is to illustrate how copula approaches can be applied to model the complex dependence structure between the assets and for risk measurement of a portfolio containing investments in REIT and equity indices.Design/methodology/approachThe usually suggested multivariate normal or variance‐ covariance approach is applied, as well as various copula models in order to investigate the dependence structure between returns of Australian REITS and the Australian stock market. Different models including the Gaussian, Studentt, Clayton and Gumbel copula are estimated and goodness‐of‐fit tests are conducted. For the return series, both the Gaussian and a non‐parametric estimate of the distribution is applied. A risk analysis is provided based on Monte Carlo simulations for the different models. The value‐at‐risk measure is also applied for quantification of the risks for a portfolio combining investments in real estate and stock markets.FindingsThe findings suggest that the multivariate normal model is not appropriate to measure the complex dependence structure between the returns of the two asset classes. Instead, a model using non‐parametric estimates for the return series in combination with a Studenttcopula is clearly more suitable. It further illustrates that the usually applied variance‐covariance approach leads to a significant underestimation of the actual risk for a portfolio consisting of investments in REITS and equity indices. The nature of risk is better captured by the suggested copula models.Originality/valueTo the authors', knowledge, this is one of the first studies to apply and test different copula models in real estate markets. Results help international investors and portfolio managers to deepen their understanding of the dependence structure between returns from real estate and equity markets. Additionally, the results should be helpful for implementation of a more adequate risk management for portfolios containing investments in both REITS and equity indices.

PurposeThe purpose of this paper is to propose and discuss practical approaches on how to address risk and uncertainty within valuation reports, particularly when there is only insufficient comparable transaction evidence available.Design/methodology/approachA four stage approach to property valuation is proposed that can be particularly useful if there is insufficient comparable transaction evidence available: Identifying, measuring and expressing risk by making use of property rating approaches. Transforming risk into risk premia for calculating the yield on a risk free basis by partially making use of models of risk and return usually applied in finance. Simulating risk premia (since there is great deal of uncertainty involved in determining these premia) by making use of a statistical method commonly referred to as Monte Carlo Simulation. Using the derived yield's probability distribution in combination with further probability distributions for other valuation input variables (e.g. market rent) to calculate a range of possible outcomes of Market Value as well as a number of statistical measures that can be indicative of the valuer's perceived uncertainty regarding the valuation assignment.FindingsThe empirical part shows that due to data limitations determining idiosyncratic risk premia for property assets is not yet possible. This significantly hampers the development of robust yield pricing models and reinforces the need to create databases including information on both individual property returns and associated building characteristics.Practical implicationsThe paper postulates that there are few (if any) rational reasons for valuers not to use rating and simulation approaches as an indispensable element of the valuation process.Originality/valueA valuation approach that allows simultaneously addressing risk and uncertainty as well as sustainability issues within commercial property valuation practice is proposed.