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Pension Plan Allocation to Real Estate when Plan Trustees have Reputational Utility

This study explores why institutions invest minimally in real estate and introduces an entropy model to analyze portfolio allocation decisions driven by reputation concerns. The research reveals how trustees' risk preferences and target returns impact asset allocation strategies. Empirical evidence supports the influence of reputational utility on pension plan trustees' decisions, illustrating the need for conformity and the role of belief-choice in shaping investment portfolios.

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Pension Plan Allocation to Real Estate when Plan Trustees have Reputational Utility

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  1. Pension Plan Allocation to Real Estate when Plan Trustees have Reputational Utility Kiat-Ying Seah and James D. Shilling National University of Singapore DePaul University, Chicago ERES 2010 Milan, Italy

  2. Objectives • Tries to explain why institutions invest very little in real estate. • An entropy model where institutions care about what their target returns are • Conformity matters • Persistent portfolio allocation • Implication: allocation is based on a power utility not on a mean-variance variety

  3. Motivation • Reality: institutions invest 2.5% to 4% of total assets in real estate • Normative studies: • 15-20% (Fogler, 1984) • 43% (Webb and Rubens, 1987) • 19-28% (Giliberto, 1993) • Modelling idea: - Pension plans are fiduciaries and care about how others assess their performance: include “Reputation” in utility function.

  4. Pension Trustee’s Objective function • Measure reputation by an entropy function • Objective of each plan trustee: maximize reputation subject to a shortfall constraint

  5. Allocation is a function of belief-choice • Optimal belief choice: multinomial logit probabilistic choice function • Trustees will skew their portfolio toward assets with higher returns. • Prob of choosing a target that deviates from group mean is low – conforming behavior.

  6. Given beliefs, solve for portfolio • Power utility form, risk aversion is endogenous • What matters? • Target returns, W0Z • Surplus returns ST Initial Funding Ratio matters

  7. Data and Results • Data are obtained from CRSP/COMPUSTAT • 1990-2004. • Summary Statistics:

  8. Summary Statistics

  9. Portfolio Simulations • SRMP looks at total portfolio variance • Entropic cares about the entire distribution

  10. Empirical Evidence • Use Sharpe’s (1992) “style” methodology: • Regress pension surplus returns on six benchmark returns. • Collect R-square statistic for each pension plan. • Because R-square varies from 0 to 1, transform this variable using the logistic transformation = “STYLE” variable • Run the following regression: Style = F (Target surplus return, Conformity, Initial Funding Ratio)

  11. Conclusion • Empirical results are the same when we include firm fixed effects. • Reputational utility causes institutions to • Skew portfolio away from real estate to achieve minimum target rate of return. • Achieving minimum target rate of return requires that pension trustees be conformists. • Explains herding behavior.

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