Blending the Real Estate Allocation - StepStone Group

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Blending the Real Estate Allocation

                                                  Much of the asset allocation work in relation to institutional
                                                  commercial real estate (“CRE”) centers on the assumption
                                                  that it is either a private market equity (“PrivEq”) allocation or
                                                  for investors with a greater liquidity focus—an allocation to
                                                  listed market equities (“LisEq”) such as REITs. There is much
                                                  less available research seeking the performance and risk
                                                  implications of portfolios composed of PrivEq and LisEq as
                                                  well as private market debt (“PrivD”) and listed market debt
                                                  (“LisD”) strategies—Blended Real Estate (“BRE”). Increasingly,
                                                  however, we see portfolios that need both the incremental
                                                  return of private markets and the potential for liquidity of
                                                  listed markets. For example, defined contribution (“DC”)
                                                  pension plans in the UK and US are required to provide
                                                  liquidity on a daily or monthly basis. This creates a need for
                                                  real estate portfolios to include at least a modicum of listed
                                                  market exposure.

September
STEPSTONE |2017
            Blending the Real Estate Allocation                                                                  1
To demonstrate the potential for BRE to address this situation,                         » Current Income—Due to the cash flow aspect of CRE,
StepStone has sought to quantify the benefits and costs.                                  current income is a large component of the total return.
The objectives of this study are four-fold:                                               This has historically provided investors with a competitive
                                                                                          absolute return relative to other asset classes and a good
          To demonstrate the longer-term performance and

1
                                                                                          liability matching potential; and
          risk characteristics of BRE portfolio strategies, both in
                                                                                        » Hedge for Inflation—Lease rates often contain annual
          isolation and in a multi-asset context;
                                                                                          increases and can provide a good inflation hedge in the
          To provide a brief discussion of certain, often overlooked,

2
                                                                                          portfolio. Over the long-term CRE, rents and consequently
          statistical considerations when incorporating private                           values trend with construction costs, which themselves are
          markets1 asset classes in an asset allocation framework;
                                                                                          highly correlated to broader measures of inflation.
          To analyze portfolio risk characteristics using a measure                     Institutional investors have four primary investment conduits

3         that is better than volatility in accounting for both
          downside risk and the performance characteristics of
          private markets asset classes such as real estate; and
                                                                                        through which to gain CRE exposure (Figure 1). These ”four
                                                                                        quadrants” can be accessed through a range of holding
                                                                                        structures including direct ownership and management, or
          To provide clarity on the risk allocations to various                         indirect exposure through funds (e.g., limited partnerships)

4         exposures as opposed to just showing the capital
          allocations to asset classes that is often presented.
                                                                                        and other investment vehicles. Investors are often invested
                                                                                        in more than one of these quadrants; in StepStone’s view,
                                                                                        institutional investors should consider their allocation across
The current discussion focuses on real estate allocations, but                          multiple quadrants if they are not already.
we are also working more broadly on strategic asset allocation
across alternative private markets strategies. This paper is                            Listed Markets Real Estate Investments
therefore the first in a series on the topic of asset allocation
                                                                                        » LisD—Listed market real estate debt consists primarily
and risk measurement that we expect to bring forth over the
                                                                                          of mortgage backed securities that are typically held in
coming quarters.
                                                                                          institutional bond portfolios.
                                                                                        » LisEq—Listed market real estate equity consists primarily
The Many Benefits of Commercial Real                                                      of Real Estate Investment Trusts (”REITs”) or operating
Estate and Investment Options                                                             companies whose core businesses focus on real estate
Institutional investors understand that CRE can be a beneficial                           construction, operation or investment.
component of a multi-asset portfolio. The merits for
                                                                                        Private Markets Real Estate Investments
incorporating a CRE allocation include the following:
» Low Correlation—CRE investments typically have a low                                  » PrivD—Private mortgage loans and mortgages are typically
  correlation with traditional asset classes, particularly LisEq.                         held by insurance companies or are a component of large
  Thus, CRE acts as a good "diversifier," helping to reduce                               institutional private credit portfolios.
  overall portfolio risk.                                                               » PrivEq—The most common vehicle for institutional
» Less Volatility—PrivEq assets are valued less frequently,                               investors, private equity real estate can take the form of
  so their impact on the overall portfolio will be reflected                              direct ownership, commingled funds, joint ventures and
  gradually over time.                                                                    separate account structures.

1
    In this paper, we use the term private markets to refer to private real estate markets; many of the observations we make apply equally to other private markets
    strategies such as corporate private equity, private infrastructure and private real assets.

    2
FIGURE 1 | THE FOUR QUADRANTS OF INSTITUTIONAL COMMERCIAL REAL ESTATE

                                                           Listed                                           Private
                                              Listed Market Debt (“LisD”)                      Private Market Debt (“PrivD”)
                Debt                           Fannie/Freddie, CMBS, CMO                             Senior/Whole Loans
                                                 YE16 Size: US$1,352 billion                       YE16 Size: US$2,541 billion
                                             Listed Market Equity (“LisEq”)                   Private Market Equity (“PrivEq”)
               Equity                                       REITs                               Directly held assets, LPs, LLCs,
                                                  YE16 Size: US$960 billion                         YE16 Size: US$851 billion
Source: PREA, Q4 2016.

Commercial Real Estate Investment                                              risk profiles, potentially skewing the results of a typical asset
                                                                               allocation model.
Performance Characteristics                                                    There are generally two main approaches to address this
To assess the performance characteristics of CRE we use a                      issue: statistical “unsmoothing” methods;2 and correcting
sample of well-known benchmarks for the US. The US is the                      for smoothing in the appraisal data by using transactions
only market for which there are recognized performance                         based indices. Transaction based indices measure real estate
indices available across the quadrants that have a long, robust                performance using the prices of property assets that are
historical series.                                                             bought and sold in the private market. This methodology
PrivEq is represented by the National Council of Real Estate                   is therefore not reliant upon interim valuations to measure
Investment Fiduciaries Property Index (“NPI”). The NPI                         periodic total returns. Rather than select an appropriate
measures the direct unleveraged performance of operating                       statistical unsmoothing methodology for this study, we
US property assets held in private, institutional real estate                  use the NCREIF Transaction Based Index (“TBI”) to represent
portfolios and thus, should be considered as a Core private                    unsmoothed private equity performance. The methodology
equity exposure. The performance of the assets, both values                    used to construct this index is detailed in Fisher et al (2007).
and cash flows, is collected directly from institutional investors             Like the NPI, this index measures the direct unleveraged
                                                                               performance of institutionally held US CRE assets.
or their real estate investment fiduciaries. The reported values
used to construct this performance index are based on market                   LisEq is measured by the FTSE-NAREIT US All REITs Index (“FT-
value accounting standards and not historical cost.                            REIT”). This index measures the performance of US REITs that
                                                                               are listed on the New York Stock Exchange, the American Stock
The statistical issue with using the NPI and other benchmarks
                                                                               Exchange or the NASDAQ.
like it is that they are based upon valuations that naturally
reference prior periods; consequently, they exhibit smoothed                   The Giliberto-Levy Commercial Mortgage Performance
performance. Due to this inherent characteristic of the data,                  Index (“G-Levy”) measures PrivD return and represents the
significant dependence across the periodic total returns over                  performance of institutional-grade commercial mortgage
time is present. The presence of this serial correlation means                 whole loans. Interestingly, serial correlation tests (not shown)
that the underlying asset values will react slowly to market                   found that this index did not exhibit smoothed performance.
changes. Thus, conventional risk measures (e.g., volatility)                   LisD performance is represented by the Bloomberg Barclays
that use these periodic returns will be understated and the                    Investment Grade US CMBS Index (“Barc CMBS”), which consists
resultant risk profile will not be comparable to listed market                 of investment-grade commercial mortgage-backed securities.

2
    See for example Geltner et al (2003) and Lizeri et al (2012).

STEPSTONE | Blending the Real Estate Allocation                                                                                              3
FIGURE 2 | COMMERCIAL REAL ESTATE PERFORMANCE INDICES QUARTERLY SUMMARY STATISTICS AND CORRELATIONS

                                             PrivEq                  PrivEq                 LisEq                 PrivD                LisD
     Statistic
                                              NPI                     TBI                  FT-REIT               G-Levy             Barc-CMBS
     Mean                                     0.024                   0.024                 0.031                 0.017                 0.016
     Median                                   0.029                   0.017                 0.038                 0.016                 0.015
     Maximum                                 0.054                    0.178                 0.333                 0.085                 0.123
     Minimum                                 (0.083)                 (0.172)               (0.388)               (0.076)               (0.150)
     Std. Dev.                                0.02                     0.05                  0.10                 0.02                  0.04
     Skewness                                (2.78)                   (0.30)                (0.92)                (0.44)               (0.65)
     Kurtosis                                 11.85                    6.45                  7.06                 7.87                  9.36
     Jarque-Bera Statistic                 350.88***                39.29***               63.75***             78.47***             135.43***
     Correlation Matrix
     NPI                                        1                       —                     —                    —                     —
     TBI                                      0.36                      1                     —                    —                     —
     FT-REIT                                  0.22                    0.25                    1                     —                    —
     G-Levy                                   0.11                     0.01                  0.25                   1                    —
     Barc-CMBS                                0.10                     0.19                  0.58                 0.72                    1
*** indicates significance at the 1% probability level.
Source: FTSE, MSCI, NAREIT and NCREIF, Q2 2016; StepStone calculations.
For illustrative purposes only.

All analysis is undertaken using quarterly performance data                         their broader asset allocation decisions and adjust their
from the second quarter of 1997 through the second quarter                          models appropriately.
of 2016.                                                                            REITs have historically delivered the highest level of volatility;
Summary statistics for these performance indices are provided                       however, these securities use financial leverage and are
in Figure 2, which shows that all the performance indices                           exposed to equity market price movements.3 Investors
generally have a low positive correlation with one another.                         will need to consider the trade-off between the additional
This suggests that while they all provide access to the US                          performance dispersion arising from this exposure against the
CRE market, they do so with specific performance patterns.                          enhanced levels of liquidity it provides.
The exception to this is the relationship between LisD and                          Statistical issues can also arise when focusing purely on mean-
PrivD, which have a high degree of positive correlation and                         variance based analysis, which continues to dominate much
delivered comparable levels of total returns to investors over                      of the commercial and academic research for CRE. A feature
the sample period.                                                                  of financial market and private investment performance is
Using unsmoothed PrivEq performance series materially                               that the historical returns are often found to be non-normally
increases the level of reported volatility, with the estimated                      distributed. Given the inherent non-normality of private asset
TBI volatility being more than double that of the NPI, but                          classes such as PrivEq, however, performance volatility is
showing broadly the same level of historical total return. This                     not an ideal risk measure. Figure 3 shows a histogram with
finding highlights the degree of valuation smoothing that                           the distribution of the historical quarterly NPI performance
exists in valuation based performance indices such as the                           plotted against a normal distribution for this index’s historical
NPI. Investors should be mindful of this point when making                          mean and volatility.
3
    An Appraisal of Real Estate Securities, Goldman Sachs Asset Management, March 2017.

    4
As can be seen in Figure 3, the historical NPI return distribution
differs materially from a normally distributed series, given                              FIGURE 3 | QUARTERLY NPI TOTAL RETURN—EMPIRICAL VS
its lack of symmetry from the equivalent normal distribution                                         NORMAL DISTRIBUTION
plot in two key ways. First, it has a noticeable negative skew                                                        25
with the distribution having a relatively long “tail” of negative
total returns. This implies a significant degree of downside risk                                                     20
versus normally distributed asset class performance, although

                                                                                           Frequency
the bulk of these losses are attributable to the post-GFC period.                                                     15

Second, the peak of the distribution is more pronounced.
                                                                                                                      10
The pronounced peak is not just an issue with PrivEq;
Figure 2 shows that all historical total returns series have a                                                         5
kurtosis value above three.4 For the statistically minded, the
Jarque-Bera statistics also demonstrate that none of the series                                                        0
                                                                                                                            (8) (7) (6) (5) (4) (3) (2) (1) 0   1   2     3   4    5   6   7   8
can be considered normally distributed.
                                                                                                                                                 Quarterly Total Return
This study simulates the historical performance of BRE
                                                                                                                                         Empirical      Normal Distribution Plot
portfolios composed of fixed capital allocations to market
                                                                                          Source: NCREIF, Q2 2016; StepStone calculations.
exposures representing the four quadrants of CRE.
Consequently, the analysis and results presented should be
considered as being very much strategic in nature. Risk-return
metrics are estimated for BRE portfolios using both smoothed
and unsmoothed PrivEq return performance. The five portfolio
strategies used and their capital allocations are as follows:
» PrivEq only (“Private Equity”);
                                                                                          FIGURE 4 | BLENDED REAL ESTATE PORTFOLIO STRATEGIES
» Equally weighted PrivEq and PrivD (“Equal Weight Private”);
                                                                                                     CORRELATION WITH S&P 500
» Equally weighted quadrants (“Equal Weight Quadrant”);
                                                                                                                      0.6
» A DC plan equity real estate portfolio consisting of an 80:20
  PrivEq/LisEq split (“DC Equity”). This is consistent with several                                                   0.5
                                                                                           Correlation with S&P 500

  available products targeted at the DC plan market such as
                                                                                                                      0.4
  the Principal Real Estate Equity Income Strategy (85% target
  PrivEq allocation) for the US; and                                                                                  0.3

» A DC plan equity real estate portfolio consisting of 40%
                                                                                                                      0.2
  PrivEq, 40% PrivD, 10% LisEq and 10% LisD (“DC Quadrant”).
The historical performance and risk metrics for these portfolio                                                       0.1

strategies, incorporating either smoothed or unsmoothed
                                                                                                                      0.0
performance, as presented by the NPI and TBI respectively, are                                                               Private        Equal        Equal             DC -          DC -
                                                                                                                             Equity        Weight -     Weight -          Equity       Quadrant
shown in Exhibit A in the Appendix.                                                                                                        Private      Quadrant
As highlighted in Figure 4, the correlations with the                                                                                    Smoothed PMEq          Unsmoothed PMEq
general equity market, as represented by the S&P 500, do
not materially change when using either the NPI or the TBI.                               Source: FTSE, MSCI, NAREIT; NCREIF, Q2 2016; StepStone calculations.

4
    A value of three signifies a normal probability distribution. When a distribution has a kurtosis value above three, then it is leptokurtic and is characterized as
    being more “peaked” with fatter tails thereby indicating the presence of extreme outcomes.

STEPSTONE | Blending the Real Estate Allocation                                                                                                                                                5
For the PrivEq performance: the correlation statistics are 0.21
and 0.18 respectively. Including debt exposure dilutes the             FIGURE 5 | BLENDED REAL ESTATE PORTFOLIO STRATEGIES
level of absolute return delivered in a private markets real                      MODIFIED SHARPE RATIOS
estate program, but enhances risk-adjusted returns. Figure
                                                                                              0.4
4 also shows that its inclusion delivers modest diversification
benefits relative to general equities. These benefits, however
are naturally offset by a higher correlation with broader bond                                0.3

                                                                      Modified Sharpe Ratio
markets. For DC plan investors, the public equity exposure
increases the level of volatility from 4.8% to 6.2% on an                                     0.2
annualized basis when using the NPI. When using the TBI,
however, volatility is practically unchanged and investors also
benefit from an improved liquidity profile. Finally, as per the                               0.1

individual performance indices, all these portfolio strategies
can be considered as having non-normal performance                                            0.0
characteristics as inferred by their skewness, kurtosis statistics                                  Private     Equal      Equal       DC -      DC -
                                                                                                    Equity     Weight -   Weight -    Equity   Quadrant
and highly significant Jarque-Bera test results.                                                               Private    Quadrant
                                                                                                              Smoothed PMEq      Unsmoothed PMEq

Risks and Returns of Commercial Real                                    Source: FTSE, MSCI, NAREIT and NCREIF, Q2 2016; StepStone calculations.

Estate Allocations
Most published and commercial research relating to CRE in              be exposed to extreme downside outcomes than investors
an asset allocation context still uses volatility as the central       with shorter-term hold periods. These outcomes can impair
measure of risk. Clearly, given the non-normality of CRE               the achievement of long-term target return levels. CVaR is
performance series used in this study, this measure is not             calculated using the modified CVaR estimator from Boudt et
ideal. One of the aims of this study is to analyze portfolio risk      al (2008), which is found to better account for portfolios with
characteristics using a measure that better accounts for both          non-normal performance characteristics.
downside risk and the performance characteristics of asset
classes such as CRE.                                                   BLENDED REAL ESTATE PORTFOLIO STRATEGIES
To do this we use conditional value at risk (“CVaR”). CVaR             Exhibit B in the Appendix details the risk attribution for
only measures risk in downside-risk terms and can capture              the portfolio strategies described above. This provides the
the non-normal characteristics of the data. To provide clarity         estimated risk contribution for each individual quadrant
on the risk allocations to various exposures, we use the CVaR          within the BRE portfolios. Results are presented using both
risk budgeting framework of Boudt et al (2013). Portfolio              smoothed and unsmoothed PrivEq performance, as well as for
risk budgeting involves attributing the contribution to total          both volatility and CVaR. Naturally the use of the TBI results
portfolio risk of each component asset class or investment             in PrivEq comprising a greater share of the estimated risk
position. Whereas volatility based risk budgeting is relatively        profile of the portfolios. Using the unsmoothed PrivEq data
common, downside risk based frameworks are much less                   series, the inclusion of the additional quadrants improves risk-
prevalent. However, given the “left-tail” performance                  adjusted portfolio performance when focusing on volatility.
characteristics of the historical return series used in this study,    The results are more mixed when using the CVaR metric. This
we believe that institutional investors and asset allocators           is highlighted further in Figure 5 that shows the Modified
should be more focused on this aspect of risk. This is especially      Sharpe ratios for the simulated real estate portfolio strategies.
true for long-term investors who are able accept the relative          For DC investors, including a more liquid exposure does not
illiquidity of private asset classes and thus are more likely          materially impair risk and return, with the DC-Equity portfolio

 6
providing robust risk-adjusted performance. Noticeably,                   portfolio strategies offer the most limited diversification
PrivD enhances risk-adjusted returns, albeit at the expense of            benefits generally. At a 10% allocation level, all BRE strategies
absolute performance.                                                     lower risk both in terms of volatility and CVaR. The use of
                                                                          unsmoothed private equity performance clearly increases
COMMERCIAL REAL ESTATE IN A MULTI-ASSET CONTEXT                           estimated portfolio risk and the contribution of BRE exposures
To provide insight into the risk contribution of CRE to                   to overall portfolio risk. The non-normal characteristics of CRE
traditional multi-asset portfolios, we use the five portfolio             investment performance discussed earlier also lead to the BRE
strategies and incorporate them into multi-asset portfolios,              strategies contributing a greater share of overall portfolio risk.
composed of the “traditional” 60:40 allocation to equities                Interestingly, the use of BRE portfolios incorporating both
and bonds. The equity market is represented by the S&P 500                PrivEq and PrivD exposures does not dilute overall portfolio
Index and bonds by the Bloomberg Barclays US Aggregate                    performance but does provide diversification benefits and
Bond Index. Our central results assume a 10% allocation                   enhance risk-adjusted returns. When looking at the Equal-
to real estate, which is based on the 2016 Institutional Real             Weight Private portfolio strategy there is a modest reduction
Estate Allocations Monitor produced by Cornell University                 in both estimated portfolio volatility and CVaR, but at a
and Hodes Weill & Associates.5 This found that the average                10% allocation it delivers the lowest CVaR metric of all
institutional investor target allocation for real estate was              portfolios presented.
9.9% and that this was trending upwards. To provide further
context on the multi-asset benefits of real estate, analysis for
a 20% target allocation is also presented. The results of this            Conclusions
analysis are presented in Exhibit C and uses both volatility
and CVaR as metrics that are contrasted. All CVaR statistics are          COMMERCIAL REAL ESTATE IS AN ATTRACTIVE
presented on a quarterly basis and assume a five percent loss             ASSET CLASS
probability. The Modified Sharpe Ratio is calculated using the
                                                                          StepStone believes that CRE should be a component of all
estimated quarterly CVaR as the denominator.
                                                                          institutional investor portfolios. It can be accessed through
The results in Exhibit C also show that all real estate portfolio
                                                                          several investment formats, each of which has unique risk and
strategies are accretive to the risk-adjusted performance of a
                                                                          return characteristics.
traditional 60:40 portfolio. Over the sample time-period, the
general US equity exposure is the significant contributor to
overall portfolio risk and its share increases when considering           BE MINDFUL OF STATISTICAL CONSIDERATIONS
it within a downside risk framework. When using volatility as             Our analysis suggests that investors should be mindful of
a risk measure the inclusion of a 10% or 20% BRE exposure                 the statistical issues associated with CRE and other private
reduces overall portfolio risk irrespective of which of the five          markets asset class performance measures—such as valuation
BRE strategies is selected. This result holds irrespective of             smoothing—when making their asset allocation decisions.
whether the PrivEq exposure is modelled on a smoothed or                  We would also advise investors against focusing extensively
unsmoothed basis.                                                         on mean variance based analysis. Given the non-normal
However, the non-normal performance characteristics are                   performance characteristics shown, asset allocation and risk-
evident in the risk contribution to the portfolios shown when             frameworks should address the “left-tail“ downside risks seen.
using CVaR. Indeed, the 20% BRE exposure incrementally adds               This is particularly true for longer-term institutional investors
to risk for the DC Equity and Equal Weight Quadrant strategies,           in illiquid asset classes such as PrivEq who are likelier to be
irrespective of the PrivEq performance index chosen. These                exposed to extreme downside outcomes.

5
    Please see http://www.hodesweill.com/research/allocations-monitor/.

STEPSTONE | Blending the Real Estate Allocation                                                                                          7
CONSIDER RISK CONTRIBUTIONS WHEN MAKING                             CONSIDER EXPOSURE TO PRIVATE DEBT
ALLOCATION DECISIONS                                                The results show that PrivD can be a particularly beneficial
Investors should also be more thoughtful of the contribution        exposure from a risk-return standpoint. While the analysis
to risk from various asset classes and not be solely focused on     presented in this study is intended to be strategic in nature,
                                                                    StepStone believes there is a compelling tactical case for
capital allocations. This study demonstrated that for a range
                                                                    including PrivD in institutional investor portfolios. Globally,
of BRE portfolio strategies tailored to investor preferences risk
                                                                    the prospective performance of Core equity opportunities in
allocations often differed markedly to their capital allocations.
                                                                    major markets has, in our view, moderated to below average
                                                                    levels of expected total returns. At this point in the real estate
A TYPICAL BLENDED REAL ESTATE ALLOCATION                            market cycle, StepStone would recommend that clients
IS ACCRETIVE                                                        consider adding PrivD. We are of the view that private US and
                                                                    European real estate Core-Plus debt exposures though whole
A range of BRE portfolio strategies were shown to be accretive
                                                                    loan, stretch senior and mezzanine debt investments backed
to overall risk-adjusted portfolio performance when included
                                                                    against institutional quality CRE assets and at moderate loan-
at a typical institutional investor allocation level of 10%.
                                                                    to-value ratios can add attractive blended returns of mid to
This benefit is also evident at a higher allocation level when
                                                                    high single digits. Given the downside protection afforded
focusing on the volatility risk measure, which may not be           and the majority paid income component of these exposures,
ideal given the performance characteristics of the asset class.     we believe that this represents an attractive risk-adjusted
The equivalent results using the CVaR risk measure were less        return and should be considered by institutional investors
conclusive when making a 20% allocation to a BRE exposure.          both strategically and more tactically.

 8
Appendix

Exhibit A | BLENDED REAL ESTATE PORTFOLIO STRATEGIES

                                                                   Smoothed PrivEq Performance

                                               Private                Equal Weight -            Equal Weight -     DC -         DC -
                                               Equity                    Private                  Quadrant        Equity      Quadrant

  Mean                                          0.024                     0.020                     0.022         0.025        0.021
  Median                                        0.029                     0.022                     0.025         0.029        0.025
  Maximum                                       0.054                     0.052                      0.113        0.072        0.052
  Minimum                                      (0.083)                   (0.079)                    (0.174)       (0.144)      (0.117)
  Std. Dev.                                     0.024                     0.017                     0.036          0.031       0.022
  Skewness                                     (2.784)                   (2.997)                   (2.200)        (3.460)     (3.696)
  Kurtosis                                     11.852                    18.708                     13.834        18.981       23.118
  Jarque-Bera Statistic                      350.88***                 906.91***                 438.68***       972.96***   1473.81***
  Annualized Sharpe Ratio                        1.62                      1.86                      0.93          1.31         1.47
  Correlation With S&P 500                       0.21                      0.07                      0.50          0.52         0.37
  Correlation With All Bonds                    (0.10)                     0.27                      0.17         (0.06)        0.23

                                                                  Unsmoothed PrivEq Performance

                                                Private               Equal Weight -            Equal Weight -      DC -        DC -
                                                Equity                   Private                  Quadrant         Equity     Quadrant

  Mean                                          0.024                     0.020                     0.022          0.025       0.021
  Median                                        0.017                     0.017                      0.025         0.029       0.021
  Maximum                                       0.178                     0.089                      0.115         0.140       0.090
  Minimum                                       (0.172)                   (0.070)                   (0.155)       (0.201)     (0.089)
  Std. Dev.                                     0.049                     0.027                      0.039         0.049       0.029
  Skewness                                     (0.295)                    (0.033)                   (1.410)       (1.207)      (1.051)
  Kurtosis                                      6.449                     4.499                     8.807          7.869       6.484
  Jarque-Bera Statistic                       39.29***                    7.22**                  133.70***      94.76***     53.12***
  Annualized Sharpe Ratio                        0.76                      1.14                      0.85          0.82         1.09
  Correlation With S&P 500                       0.18                      0.11                      0.49          0.39         0.33
  Correlation With All Bonds                     0.05                      0.25                      0.18          0.04         0.24
*** indicates significance at the 1% probability level, ** indicates significance at the 5% probability level.
Source: FTSE, MSCI, NAREIT and NCREIF, Q2 2016; StepStone calculations.
For illustrative purposes only.

STEPSTONE | Blending the Real Estate Allocation                                                                                           9
Exhibit B | W
             EIGHT AND RISK ALLOCATIONS OF BLENDED REAL ESTATE PORTFOLIO STRATEGIES. IN-SAMPLE MEAN, VOLATILITY AND QUARTERLY MODIFIED 95% CVaR

                                                                                   Smoothed Private Real Estate Equity Performance

                                                                                                                                                                                                Risk-Adjusted
                                   Real Estate Portfolio Weighting %                             Standard Deviation Allocation %                      Modified CVaR Allocation %                Performance

                              Equity                Debt            Ann      Ann              Equity                 Debt           95%              Equity                  Debt           Annualized Modified
                                                                    Mean     SD                                                    Modified                                                Sharpe Ratio Sharpe Ratio
                       Private     Public    Private       Public    %        %       Private      Public    Private    Public      CVaR      Private     Public    Private     Public

 Private Equity         100            —       —            —          9.6   4.7       100             —       —            —        5.6       100            —       —             —         1.62         0.34
 Equal Weight -
                         50            —       50           —          8.2   3.3       55.2            —      44.8          —        6.0       29.7           —      70.3           —         1.86         0.36
 Private
 Equal Weight -
                         25            25      25           25         8.7   7.2        5.8        67.4       7.5           19.3    14.2       9.0         55.6      10.2           25.2      0.93         0.12
 Quadrant
 DC - Equity             80            20      —            —       10.1     6.2       45.7        54.3        —            —       10.7       37.4        62.6       —             —         1.31         0.19
 DC - Quadrant           40            10      40           10         8.4   4.3       25.5        36.5       25.7          12.3     8.1       1.9         43.1      37.5           17.5      1.47         0.20

                                                                               Unsmoothed Private Real Estate Equity Performance

                                                                                                                                                                                                Risk-Adjusted
                                   Real Estate Portfolio Weighting %                             Standard Deviation Allocation %                      Modified CVaR Allocation %                Performance

                              Equity                Debt            Ann      Ann              Equity                 Debt           95%              Equity                  Debt           Annualized Modified
                                                                    Mean     SD                                                    Modified                                                Sharpe Ratio Sharpe Ratio
                       Private     Public    Private       Public    %        %       Private      Public    Private    Public      CVaR      Private     Public    Private     Public

 Private Equity         100            —        —           —          9.5   9.9       100             —       —            —        11.1      100            —       —             —         0.76         0.17
 Equal Weight -
                         50            —       50           —          8.2   5.4       84.6            —      15.4          —        6.8       69.3           —      30.7           —         1.15         0.22
 Private
 Equal Weight -
                         25            25      25           25         8.8   8.2       14.9        56.5       6.4           22.1    15.9       16.7        45.6      10.9           26.8      0.83         0.11
 Quadrant
 DC - Equity             80            20      —            —       10.1     9.8       73.4        26.6        —            —        11.1      43.4        56.6       —             —         0.82         0.18
 DC - Quadrant           40            10      40           10         8.4   5.9       52.0        23.7       14.0          10.2    10.9       18.9        35.3       27.4          18.4      1.09         0.15
Source: FTSE, MSCI, NAREIT and NCREIF, Q2 2016; StepStone calculations.
For illustrative purposes only.

 10
Exhibit C | WEIGHT AND RISK ALLOCATIONS OF 60:40 EQUITY : BOND PORTFOLIOS INCLUDING COMMERCIAL REAL ESTATE. IN-SAMPLE MEAN, VOLATILITY AND
             QUARTERLY MODIFIED 95% CVaR
                                                                              Smoothed Private Real Estate Equity Performance
                                                                                                                                                                                      Risk-Adjusted
                                              Multi-Asset Portfolio Weighting %                             Standard Deviation Allocation %          Modified CVaR Allocation %        Performance
                                                                                     Ann   Ann SD                                         95%                                     Annualized Modified
                     Private Real Equal Weight - Equal Weight -      DC -    DC -                                                Real                                     Real
                                                                                                  Equities         Bonds                 Modified                                   Sharpe     Sharpe
 Equity    Bonds    Estate Equity    Private       Quadrant         Equity Quadrant Mean %   %                                  Estate              Equities   Bonds     Estate
                                                                                                                                          CVaR                                       Ratio      Ratio
   60        40          —               —               —                —       —      7.5     9.8     103.2     (3.2)                   8.7      116.5      (16.5)     —         0.55       0.16
   54        36          10              —               —            —           —      7.7     8.9     101.9     (3.2)         1.3       8.1       112.7     (15.7)     3.0       0.63       0.18
   54        36          —               10              —            —           —      7.5     8.9     102.5     (3.1)         0.5       7.9       115.0     (16.3)     1.3       0.62       0.17
   54        36          —               —               10           —           —      7.6     9.3     98.1      (2.8)         4.7       8.5       107.1     (15.1)     8.1       0.60       0.16
   54        36          —               —               —            10          —      7.7     9.2     99.2      (3.1)         3.9       8.4       107.9     (14.9)     7.0       0.62       0.17
   54        36          —               —               —            —           10     7.6     9.0     100.8     (3.0)         2.2       8.1       111.8     (15.8)     4.0       0.61       0.17
   48        32          20              —               —            —           —      7.9     8.1     99.6      (3.2)         3.6       8.3       107.2     (14.7)     7.5       0.73       0.18
   48        32          —               20              —            —           —      7.6     8.0     101.3     (2.9)         1.6       8.1       111.4     (15.9)     4.6       0.70       0.17
   48        32          —               —               20           —           —      7.7     8.7     91.4      (2.3)        10.9       9.2       95.1      (13.8)     18.6      0.65       0.15
   48        32          —               —               —            20          —     8.0      8.6     93.7      (2.8)         9.1       9.0       97.8      (13.3)     15.5      0.70       0.17
   48        32          —               —               —            —           20     7.7     8.3      97.4     (2.6)         5.2       8.5      104.7      (15.0)    10.3       0.68       0.17
                                                                              Smoothed Private Real Estate Equity Performance
                                                                                                                                                                                      Risk-Adjusted
                                              Multi-Asset Portfolio Weighting %                             Standard Deviation Allocation %          Modified CVaR Allocation %        Performance
                                                                                     Ann   Ann SD                                         95%                                     Annualized Modified
                     Private Real Equal Weight - Equal Weight -      DC -    DC -                                                Real                                     Real
                                                                                                  Equities         Bonds                 Modified                                   Sharpe     Sharpe
 Equity    Bonds    Estate Equity    Private       Quadrant         Equity Quadrant Mean %   %                                  Estate              Equities   Bonds     Estate
                                                                                                                                          CVaR                                       Ratio      Ratio
   60        40          —               —               —                —       —      7.5     9.8     103.2     (3.2)         —         8.7      116.5      (16.5)     —         0.55       0.16
   54        36          10              —               —            —           —      7.7     9.1     99.8      (3.0)         3.2       8.1       110.4     (14.5)     4.1       0.62       0.17
   54        36          —               10              —            —           —      7.5     8.9     101.7     (3.0)         1.3       7.9       114.7     (15.8)     1.1       0.62       0.17
   54        36          —               —               10           —           —      7.6     9.3      97.7     (2.7)         5.0       8.4       107.2     (14.9)     7.8       0.60       0.17
   54        36          —               —               —            10          —      7.7     9.3      97.6     (2.9)         5.2       8.4      106.8      (14.1)     7.3       0.61       0.17
   54        36          —               —               —            —           10     7.6     9.1     100.1     (2.9)         2.7       8.1       111.8     (15.4)     3.7       0.61       0.17
   48        32          20              —               —            —           —      7.9     8.5     93.1      (2.6)         9.5       8.5      100.4      (14.9)     11.5      0.69       0.17
   48        32          —               20              —            —           —      7.6     8.1     98.9      (2.6)         3.7       8.0       111.1     (14.9)     3.7       0.69       0.17
   48        32          —               —               20           —           —      7.7     8.8     90.5      (2.2)        11.7       9.2       95.9      (13.4)     17.5      0.65       0.16
   48        32          —               —               —            20          —     8.0      8.8     89.5      (2.4)        13.0       9.1       95.0      (11.6)     16.6      0.67       0.16
   48        32          —               —               —            —           20     7.7     8.4     95.6      (2.4)         6.8       8.5      105.2      (14.3)     9.1       0.67       0.17
Source: FTSE, MSCI, NAREIT and NCREIF, Q2 2016; StepStone calculations.
For illustrative purposes only.
                                                                                                                                                                                                      11
STEPSTONE | Blending the Real Estate Allocation
References                                                         Kurtosis
Boudt K., Carl P. and Peterson B. (2013). Asset allocation with
                                                                   Kurtosis measures whether the data are heavy-tailed or light-
Conditional Value-at-Risk budgets. Journal of Risk, 15, 39-68.
                                                                   tailed relative to a normal distribution. It is calculated using
Boudt, K., Peterson, B. and Croux, C. (2008) Estimation and        the following formula:
decomposition of downside risk for portfolios with non-
normal returns. Journal of Risk, 11, 79-103.
Fisher, J. Geltner, D. & Pollakowski, H. (2007). A quarterly
                                                                                    Kurt(X) =    ∑[(X−σ )4]μ

transactions-based index (TBI) of institutional real estate
investment performance and movements in supply and                 Where: X= the sample series, μ = the sample mean and σ = the
demand. Journal of Real Estate Finance & Economics, 34, 1, 5-33.   sample standard deviation.
Geltner, D., MacGregor, B. D. & Schwann, G. M. (2003).             Kurtosis for a normal distribution is zero. Security or portfolio
Appraisal smoothing & price discovery in real estate markets.      return distributions with high or excess kurtosis (>3) have
Urban Studies, 40, 1047-1064.                                      “heavy“ tails with outliers and those with low kurtosis (
Value at Risk (“VaR”)                                             Sharpe Ratio
VaR is a risk measure that is used to estimate the potential      A measure of risk-adjusted return which measures the average
investor loss on a security or portfolio at a given confidence    return of a security or portfolio, earned in excess of the risk-
interval over a given period. It provides an estimated            free rate per unit of volatility or total risk. It is calculated by
“breakpoint“ in security or portfolio returns under extreme       subtracting the risk-free rate from the mean return, and
conditions. Normal VaR is calculated using the first two          dividing this by the level of volatility over the same period. The
statistical moments of the reference security or portfolio        greater the value of a Sharpe Ratio then the more attractive a
return distribution, namely the mean and standard deviation.      security or portfolio is on a risk-adjusted basis.
This can be calculated using the following formula:

                     V aR = μ + σC
                                                                  Modified Sharpe Ratio
Where: μ= the sample mean, σ = the sample standard deviation      A measure of risk-adjusted return which measures the average
and C is an assumed confidence level.                             return of a security or portfolio, earned in excess of the risk-free
                                                                  rate per unit of total risk. The Modified Sharpe ratio is a version
                                                                  of the original Sharpe ratio amended to include non-normal
                                                                  data. In this study, it is calculated by subtracting the risk-free
Conditional Value at Risk (“CVaR”)                                rate from the mean return, and dividing this by the CVaR over
CVaR is a risk measure that shows the expected return on          the same period. The greater the value of a Modified Sharpe
security or portfolio in an assumed percentage of extreme         Ratio then the more attractive a security or portfolio is on a
cases beyond a VaR “breakpoint.“ It is calculated by taking the   risk-adjusted basis.
average total returns beyond the assumed VaR breakpoint.
This is estimated using the following formula:

          CV aR(a) = −E (R ≤ −V aR (a))

Where: R= is the average return below the VaR breakpoint and
α is an assumed percentage level.

STEPSTONE | Blending the Real Estate Allocation                                                                                   13
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contrary should be made.
Manager references herein are for illustrative purposes only and do not constitute investment recommendations.

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