unlisted real estate funds lecture (1) (1)
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Unlisted Real Estate FundsIntroduction & RationaleRisk-Return DriversPerformance CharacteristicsAsset Allocation
Introduction & Rationale
Unlisted Real Estate Funds
The Association of Real Estate Funds (AREF) define unlisted property funds as follows:
“A property fund is a collective investment scheme with a portfolio comprising mainly of direct property but may also include other property related interests. Property funds take a number of different legal structures depending on their domicile and target customer.”
An unlisted real estate fund (UREF) is a private investment vehicle which aims to provide direct real estate performance and may also employ financial leverage which will accentuate performance.
Within the fund structure. investors pool capital so as to access a more diversified exposure to direct real estate that they may otherwise do individually
UREFs are also used by investors to access specific managers and/or strategies Internal resource issue Even the largest institutional investors use them to facilitate (at least their) non-
domestic real estate allocations
Global Real Estate Portfolio Size and Tracking Error
Source: Kennedy (2011)
Unlisted Real Estate Fund Growth
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Americas Europe Asia Pacific
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Over recent years the real estate fund management industry has evolved to meet increasing cross-border investor demand and there is now a $2.2 trillion (gross asset value) universe of unlisted real estate funds
Source: Prequin
Unlisted Real Estate Fund Structures UREFs follow either balanced or specialist strategies
Balanced funds seek provide investors with a well diversified market exposure – country or region
Specialist funds focus on a particular market segment or niche e.g. a UK shopping centre fund, US office fund or a Japanese real estate debt fund
Due to tax considerations UREFs may be structured for investors from a particular jurisdiction or be efficient for a range of investors E.g. private US REITs Plethora of legal structures and domiciles used by institutional investors Popular structures are corporate, partnerships and trusts
UREFs have either closed-end or open-end fund ‘wrappers’ Closed-ended funds typically have lives ranging from 7-10 years Varying degrees of ‘open-endedness’
Real estate managers are paid a management and often a performance fee
Example Unlisted Real Estate Fund Structure
LuxCo 2
Longbow
LuxCo 1
Loans / CMBS
Equity Investment
EquityInvestment
Debt investments
Income from debt investments
Management Fee
Group Income Sharing Loan
Investor Income Sharing Loan
Investors
Real Estate Assets
Co-investment
Cash item
Ownership / funding
Example Closed-End Unlisted Fund Cashflow
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35
2001 2002 2003 2004 2005 2006
£ (
mn)
Contributions Distributions NAV
Source: Baum and Farrelly (2009)
Unlisted Real Estate Fund Investing Established open-end fund
Subscription / redemption mechanisms and pricing Multiple investors and ongoing portfolio transactional activity Limited control for investors
Primary Fund - newly launched fund Investors bear set-up and acquisition costs Often fully or partially ‘blind’ i.e. the assets need to be bought Fee discounts for large investors Investor ‘control’ via advisory boards
Joint Venture Two parties involved and assets often fully indentified Stronger controls and can be incorporated
Secondary – priced vs NAV Acquisition of units in existing fund and can be fully underwritten Typically passive control post acquisition
Co-Investments Investor option to participate in specific opportunities alongside ‘master’ fund
‘Club-Transaction’ Small number of like-minded investors targeting a focussed opportunity
UK Market Pricing vs NAV – Secondary UREFs & REITs
Source: Schneider (2013)
Unlisted Real Estate Fund Criticisms Fees
Expense ratios are perceived as being high and NAREIT research shows REITs as being cheaper
Especially true in ‘double-promote’ situations
Liquidity Lock-ups Open-end funds can at best mirror direct market liquidity and recent crisis has
seen mechanism under pressure
Valuation How should UREFs be valued – NAV (which one?), ‘market price’ vs NAV?
Transparency Limited data and understanding of performance
Gearing UREFs are perceived as having too much gearing – is 40% really ‘core’
Fund Example
13
Threadneedle Low Carbon Workplace Fund■ The investment proposition was to commit seed capital for the
formation of a UK open-ended green office fund. LCWF is a joint venture between Threadneedle, Stanhope and the Carbon Trust
Summary of Terms:
■ No gearing■ Targeted returns of 1.2x on the development portfolio and IPD
UK Office Index +1% on the investment portfolio■ Projected yield on cost >9.0% on seed portfolio■ ESG-specific strategy
Comparative Advantages:■ Quicker and less restrictive planning consents■ Pre-lets and shorter void period■ Lower total occupational cost■ Better covenant terms; longer lease terms■ Future proofing■ Greater comfort and aesthetics
The Townsend Group
Specific ESG Focused Investing
6
The Townsend Group
Co-Investment – Preferred Equity
THREADNEEDLE LOW-CARBON WORKPLACE FUND
The investment proposition was to commit seed capital for the formation of a UK open-ended green office fund. LCWF is a joint venture between Threadneedle, Stanhope,and the Carbon Trust (the “Key Advisers”):
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The benefits of low carbon refurbishment over grey refurbishment are:
■ Quicker and less restrictive planning consents
■ Pre-lets and shorter void periods
■ Lower total occupational costs
■ Better covenant tenants; longer lease terms
■ Future proofing
■ Greater comfort and aesthetics
The Townsend Group
Specific ESG Focused Investing
6
The Townsend Group
Co-Investment – Preferred Equity
THREADNEEDLE LOW-CARBON WORKPLACE FUND
The investment proposition was to commit seed capital for the formation of a UK open-ended green office fund. LCWF is a joint venture between Threadneedle, Stanhope,and the Carbon Trust (the “Key Advisers”):
14
The benefits of low carbon refurbishment over grey refurbishment are:
■ Quicker and less restrictive planning consents
■ Pre-lets and shorter void periods
■ Lower total occupational costs
■ Better covenant tenants; longer lease terms
■ Future proofing
■ Greater comfort and aesthetics
Before and AfterBefore After
Energy Consumption Pre Re-Furb
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Power Heating & Cooling Lighting People in Building
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Lighting aligns to occupancy due to
technology solutions (PIR)
but there is significant base
load small power, and heating & cooling during
weekends
Energy Consumption Post Re-Furb
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Reducing energy during
unoccupied periods reduced weekly energy
use by 48%
Risk – Return Drivers
Sources of Risk and Return In Real Estate Funds Market risk:
Allocations to more volatile sectors Macro / supply risks Transparency, property rights
Stock risk: Asset level (operating) leverage Risk continuum from ground rents to
speculative developments Age, structure Income quality Diversification
Fund structure: Financial leverage: floating rate/fixed
rate debt, collateralization Vehicle characteristics: age,
structure, fees/costs (alignment), fiscal efficiency
Public market volatility if listed
Accounting policy: Treatment of items e.g. mark-to-
market valuations of interest hedging instruments, costs incurred
Real Estate FundRisk & Return
Portfolio Structure / Market Risk
Stock Risk Accounting Policy
Fund Structure
Alpha and Beta in Real Estate Fund Investment
Alpha and beta originate from both portfolio structuring and stock selection
Stock alpha: Cost control, leasing strategy, asset enhancement, acquisitions & dispositions Asset management and transaction skills are the driver Eye for unrealised latent value
Structure alpha: Higher than benchmark allocations to outperforming markets and sectors Forecasting skills are the driver
Stock beta: Asset level (operating) leverage Continuum from ground rents to speculative developments
Structure beta: Domestic benchmark: allocations to more volatile sectors Global benchmark: exposures to higher risk geographies – not fully quantifiable Financial leverage
Unlisted Real Estate Fund Styles
Core ≤ 40% LTV
Core ≥ 40% LTV
Value Added
Opportunity
Total % of non-income producing investments
≤ 15%> 15% - ≤
40% > 40%
Total % of (re)development exposure
≤ 5%> 5% - ≤
25% > 25%
% of total return derived from income
≥ 60%
Maximum LTV ≤ 40% Core > 40%> 40% - ≤
60%> 60%
INREV Fund Style Classification Criteria
Core funds generally entail the lowest risk and opportunity funds the most risk
The factors used to determine style include the level of financial leverage and the nature of property investment activity being undertaken, such as development activity, which entails higher risk
Performance Drivers of UK Institutional Funds I
Sample of UK institutional funds with measured performance from 2003 Q4 – 2011 Q4
Able to test significance of market, stock and fund structure factors
Panel modelling framework employed to make best use of the available data
Core Balanced 56.3%
Core Specialist 22.5%
Value Added 14.1%
Opportunity 7.0%
-40%
-30%
-20%
-10%
0%
10%
20%
30%
Sample Fund Style Exposure Quarterly Sample Total Returns
Source: Farrelly and Matysiak (2012)
Performance Drivers of UK Institutional Funds II
Pooled OLS
Fixed Effects
Bias Corrected
Fixed Effects
Lag Total Return0.376**(0.024)
0.336**(0.046)
0.378**(0.028)
Market Exposure Excess Total Return
1.033**(0.104)
1.021**(0.215)
0.980**(0.132)
Lag Net Loan to Value Ratio-0.015**(0.003)
0.020*(0.011)
0.019(0.013)
Lag Excess Initial Yield0.080
(0.091)0.768**(0.281)
0.699**(0.245)
Lag Total Void (% ERV)-0.001(0.012)
0.040**(0.015)
0.040**(0.020)
R Squared 0.785 0.760
No Cross Sections 75 75 75No Observations 1704 1704 1704
Source: Farrelly and Matysiak (2012)
** 1% Sig, * 5% Sig
Strong 1:1 relationship with market returns
Void and initial yield ‘spread’ the most significant stock variable
10% increase in net leverage equates to 0.8% increase in annual returns
Generally expected risk-return relationships are found to hold
Small number of factors explain a significant proportion of fund performance
Financial Leverage Motivations
Return enhancement (for who?)
Shortage of equity
Cost of capital
Tax benefits – minimize leakage through the tax deductibility of interest
What do the theories say:
Modigliani-Miller – no justification Trade-off theory - optimal leverage level which maximizes return in presence of
tax incidence Pecking order – easier to raise debt capital than equity capital Market timing – raise debt when debt is cheap and equity returns are attractive Incentive theory – management motivated to grow business and enhance
remuneration Industry effects – herding towards industry average leverage levels
Financial Leverage Exacerbates Real Estate Returns
Generally the literature doesn’t support the use of high levels of leverage (>40% LTV) from a risk-return perspective
Leverage exacerbates the non-normality of real estate returns Interest costs increase as leverage ratios increase Downside ‘tail-events’ become more pronounced
Source: Baum and Kennedy (2012)
Leveraged and Unleveraged Global Real Estate Returns
Asymmetric Impact of Leverage Upon Fund Returns
Pooled OLSFixed
Effects
Bias Corrected
Fixed Effects
Lag Total Return 0.107**(0.015)
0.090**(0.033)
0.107**(0.019)
Market Exposure Total Return 1.037**(0.021)
1.049**(0.040)
1.035**(0.025)
Lag Excess Initial Yield 0.047(0.082)
0.446**(0.214)
0.415*(0.218)
Lag Net Loan to Value Ratio * Negative Market Dummy
-0.110**(0.006)
-0.098**(0.016)
-0.095**(0.013)
Lag Net Loan to Value Ratio * Positive Market Dummy
0.020**(0.004)
0.030**(0.012)
0.031**(0.012)
Period Effects Included? No No No
R Squared 0.808 0.803
No Cross Sections 75 75 75
No Observations 1724 1724 1724
Source: Farrelly and Matysiak (2012)
** 1% Sig, * 5% Sig
Isolated the impact of financial leverage upon fund performance in positive and negative market conditions
Significant asymmetric impact – greater downside than upside
10% increase in net leverage equates to 0.8-1.2% increase in annual returns when market returns are positive, but leads to a c. 4% decrease in returns when market performance declines
Leverage appears to exacerbate the non-normality of real estate returns
Asymmetric Impact of Leverage Upon Fund Returns
0.0% 0.6% 1.2% 1.9% 2.5% 3.1% 3.7% 4.3% 5.0% 5.6% 6.2% 6.8% 7.4%
0.0%-1.9%
-3.8%-5.7%
-7.6%-9.5%
-11.4%-13.3%
-15.2%-17.1%
-19.0%-20.9%
-22.8%-25%
-20%
-15%
-10%
-5%
0%
5%
10%
Ann
ual R
elati
ve P
erfo
rman
ce
Net LTV
Positive Market Negative Market
Unlisted Real Estate Fund Performance Measurement
Performance benchmarks are now emerging for UREFs across the globe Well developed in a number of key western markets
Source: Baum and Kennedy (2012)
Example Unlisted Fund Performance Attribution I
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2001 2002 2003 2004 2005 2006
£ (m
n)
Contributions Distributions NAV
-5%
0%
5%
10%
15%
20%Net Fund Returns IPD UK Pooled Funds Index
• 2001 vintage UK Value Add fund which delivered a net IRR to investors of 29.9%
• CAPM equation using All Pooled Funds Index▫ Alpha: 0.00▫ Beta: 1.73▫ RSq: 0.18
Source: Baum and Farrelly (2009)
Fund Cash Flow Quarterly Fund Returns
Example Unlisted Fund Performance Attribution II
2002 2003 2004 2005 2006 5 year
Property Level
Property TWR 12.6% 10.5% 23.7% 25.5% 8.8% 16.0%
Benchmark TWR 9.2% 10.5% 17.4% 19.1% 18.5% 14.9%Relative 3.1% 0.0% 5.4% 5.4% -8.2% 1.0%
Structure Score -3.3% -3.7% -3.2% 0.8% -0.2% -1.9%
Selection Score (Two Component) 6.1% 3.4% 8.4% 4.7% -8.0% 2.8%
Selection Score (Three Component) -6.3% -7.0% -2.9% -11.5% -13.8% -8.4%
Interaction Effect (Three Component) 12.4% 10.4% 11.3% 16.2% 5.8% 11.2%
Fund Level
Gross TWR 15.7% 20.1% 73.1% 52.3% 5.1% 31.0%
Gross Fund Structure Score 3.1% 9.6% 49.4% 26.8% -3.7% 15.0%
Net TWR 11.8% 16.7% 57.6% 40.1% 8.7% 25.6%
IM Fee Reduction -3.9% -3.4% -15.5% -12.2% 3.6% -5.3%
IM Fee Reduction % 25.0% 17.1% 21.1% 23.3% -70.1% 17.2%
Net Fund Structure Score -0.8% 6.2% 34.0% 14.6% -0.1% 9.7%
Net MWR 29.9%
Timing Score 4.3%
Source: Baum and Farrelly (2009)
Management Fees
Ongoing management fees vary depending upon the risk profile and structure of UREFs
These can be based upon NAV, commitments – both drawn and undrawn and real estate asset value (GAV) Fees on full investor commitment can apply during the investment period as
monies are invested – more common in Value Added and Opportunity funds
Performance fees can be payable on both an absolute or relative basis Seek to reward to good manager performance and incentivise management teams
Relative return based performance fees only seem to apply on core funds and are typically calculated on a rolling basis e.g. over three year periods
Absolute return based fees apply to nominal return targets – similar to private equity fund fee structures Most common fee structure is a 20% profit share above a 9% preferred return Can have multi-tiered preferred return hurdles & profit shares, and catch-ups
Fund Performance Fee Example – “20 Over 9”
Gross IRR 15%Income IRR 5%Investor Equity 100
Year 0 1 2 3 4 5 6 7NAV 110.0 121.0 133.1 146.4 161.1 177.2 194.9Income 5.0 5.5 6.1 6.7 7.3 8.1 8.9
Gross CF -100.0 5.0 5.5 6.1 6.7 7.3 8.1 203.7
Management Fee 1.5% NAVPreferred Return 9.0%Performance Fee Profit share 20.0%
Management Fee Paid -1.7 -1.8 -2.0 -2.2 -2.4 -2.7 -2.9
Cash Flow Pre Performance Fee -100.0 3.4 3.7 4.1 4.5 4.9 5.4 200.8IRR Pre Pre Performance Fee 13.3%
Preferred Return -100.0 3.4 3.7 4.1 4.5 4.9 5.4 148.3Check 9.0%
Excess' Profit - - 0.0 0.0 0.0 0.0 0.0 52.5Manager Share - - 0.0 0.0 0.0 0.0 0.0 10.5
Investor Cash Flow -100.0 3.4 3.7 4.1 4.5 4.9 5.4 190.3Net IRR To Investor 12.6%
Fee Reduction % 16.3%
Fee Impact From a Sample of Fund Returns
Fund Gross IRR Net IRR Fee impactFee impact
%1 29.0% 25.0% 4.0% 13.8%
2 17.0% 13.0% 4.0% 23.5%
3 33.0% 25.0% 8.0% 24.2%
4 35.0% 30.0% 5.0% 14.3%
5 27.0% 21.0% 6.0% 22.2%
6 46.0% 37.0% 9.0% 19.6%
7 21.0% 16.0% 5.0% 23.8%
8 34.0% 27.0% 7.0% 20.6%
9 16.0% 13.0% 3.0% 18.8%
10 20.0% 15.0% 5.0% 25.0%
11 18.0% 14.0% 4.0% 22.2%
12 20.0% 16.0% 4.0% 20.0%
13 14.0% 12.0% 2.0% 14.3%
14 20.0% 15.0% 5.0% 25.0%
Mean 25.0% 19.9% 5.1% 20.5%
Source: Baum and Farrelly (2009)
Performance Characteristics
US Unlisted Real Estate Fund Performance Indices
• Unlisted real estate funds provide a ‘geared’ exposure to the direct real estate market
-50%
-40%
-30%
-20%
-10%
0%
10%
20%
30%
40%
50%
Core Funds Value Added Funds
Opportunity Funds NCREIF Index
Rolling 12m Total Returns 1988Q4 – 2012Q2
Beta RSq
Core 1.25 0.94
Value Added
1.60 0.80
Opportunity
1.90 0.70
vs NCREIF
Source: NCREIF
US Real Estate Fund Performance Dispersion
• US Value Add / Opportunity fund performance by vintage year• Clearly significant performance differentials
▫ Phenomenon seen in private equity e.g. SwensenSource: Prequin
US Asset Class Returns -1988 Q4 – 2012 Q2
Ann Mean Ann Median Ann Std. Dev. Skewness Kurtosis
S&P 500 10.8% 13.0% 16.3% -0.56 3.38
US Government Bonds 7.4% 6.7% 4.7% 0.12 2.39
NCREIF Index 7.4% 9.7% 4.9% -1.89 7.59
All Core Funds Index 5.6% 8.5% 6.4% -2.39 10.28
All Opportunity Funds Index 7.6% 9.2% 11.2% -1.14 8.27
US REITs 13.1% 14.6% 20.1% -0.73 7.05
S&P 500 BOND NCREIF CORE OPRE REIT
S&P 500 1.00
US Government Bonds -0.10 1.00
NCREIF Index 0.13 -0.14 1.00
All Core Funds Index 0.12 -0.12 0.97 1.00
All Opportunity Funds Index 0.28 -0.15 0.85 0.82 1.00
US REITs 0.60 0.05 0.17 0.16 0.29 1.00
Real Estate Return Characteristics I - Smoothing Well known and studied characteristic of real estate data is that it is
smoothed due to it being valuation based performance data
The valuation process creates serial correlation in the data – i.e. one period’s return is correlated to the previous period’s return
Data needs to be adjusted to estimate the ‘true’ risk (volatility etc) of real estate investing
US Core Fund Correlogram and Q-Stat
1988Q4 – 2012Q2
S&P 500 Correlogram and Q-Stat1988Q4 – 2012Q2
Unsmoothing Impact
Ann Mean Ann Median Ann Std. Dev. Skewness Kurtosis
Raw Returns
NCREIF Index 7.4% 9.7% 4.9% -1.89 7.59
All Core Funds Index 5.6% 8.5% 6.4% -2.39 10.28
All Opportunity Funds Index 7.6% 9.2% 11.2% -1.14 8.27
Unsmoothed Returns
NCREIF Index 7.5% 9.9% 12.7% -2.77 17.95
All Core Funds Index 5.7% 7.8% 14.7% -2.58 19.06
All Opportunity Funds Index 7.8% 8.2% 32.4% -0.52 7.60
Employed autoregressive based unsmoothing procedure
E.g. AR(1) process
Latest methodology: Lizieri et al (2012) “Unsmoothing Real Estate Returns: A Regime-Switching Approach”
𝑅𝑡 = 𝛼+ 𝛿𝑅𝑡−1
𝑅𝑡ሺ𝑈𝑛𝑠𝑚𝑜𝑜𝑡ℎሻ= (𝑅𝑡 − 𝛿𝑅𝑡−1)/(1− 𝛿)
Real Estate Return Characteristics II – Non-Normality
Well known and studied characteristic of real estate data is that it is non-normal
Yet a significant proportion of current investment practice and methodologies rely heavily upon this assumption
0
2
4
6
8
10
12
14
16
-0.08 -0.06 -0.04 -0.02 0.00 0.02 0.04
Series: NPISample 1988Q4 2012Q2Observations 95
Mean 0.018079Median 0.023400Maximum 0.054300Minimum -0.082900Std. Dev. 0.024393Skewness -1.890619Kurtosis 7.593356
Jarque-Bera 140.1119Probability 0.000000
0
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16
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32
-0.25 -0.20 -0.15 -0.10 -0.05 0.00 0.05 0.10 0.15
Series: OPRESample 1988Q4 2012Q2Observations 95
Mean 0.018524Median 0.022321Maximum 0.163104Minimum -0.243989Std. Dev. 0.055901Skewness -1.141294Kurtosis 8.267118
Jarque-Bera 130.4380Probability 0.000000
NCREIF Return Distribution 1988Q4 – 2012Q2
US Opportunity Fund Return Distribution
1988Q4 – 2012Q2
Normality Tests
Tests confirm non-normality of sample real estate data
Jarque-Bera Stat Probability Shapiro-Wilk Test ProbabilityS&P 500 5.51 0.06 0.97 0.04
US Government Bonds 1.72 0.42 0.99 0.39
NCREIF Index 140.11 0.00 0.84 0.00
All Core Funds Index 300.39 0.00 0.78 0.00
All Opportunity Funds Index 130.44 0.00 0.88 0.00
US REITs 73.30 0.00 0.92 0.00
Unsmoothed Returns
NCREIF Index 1005.41 0.00 0.75 0.00
All Core Funds Index 1126.36 0.00 0.78 0.00
All Opportunity Funds Index 88.18 0.00 0.91 0.00
Asset Allocation
Asset Allocation Modeling
Typical institutional investor allocation to real estate is 5-15%
Same data (unsmoothed real estate returns) as previous with ‘typical’ expected returns Government bonds: 4.0% S&P 500: 8.5% Core UREFs 7.5% Opportunity UREFs: 14.0%
Look at Core UREFs, 75:25 Core:Opportunity and 50:50 Core:Opportunity
Use mean variance analysis here but there are problems with this Using volatility as the key risk measure leads to real estate having high
allocations – beyond what we’d consider sensible Analysis often leads to ‘corner’ solutions and allocations hitting constraints
We review certain optimal allocations using a measure which accounts for non-normality
Real Estate Allocations
75:25 Core:Opportunity Real Estate Portfolio
50:50 Core:Opportunity Real Estate Portfolio
Government Bonds 69.5% 59.0% 47.3% 37.9% 27.4% 16.9%S&P 500 14.6% 19.6% 25.1% 29.6% 34.6% 39.5%75:25 Core:Opportunity 15.9% 21.4% 27.6% 32.5% 38.0% 43.6%
Return 5.5 6.0 6.5 7.0 7.5 8.0Risk 4.7 5.6 6.8 7.9 9.2 10.6Return:Risk 1.2 1.1 1.0 0.9 0.8 0.8
Government Bonds 73.2% 63.6% 55.1% 46.6% 37.0% 28.5%S&P 500 14.3% 19.0% 23.2% 27.3% 32.0% 36.1%50:50 Core:Opportunity 12.5% 17.4% 21.7% 26.1% 31.0% 35.3%
Return 5.5 6.0 6.5 7.0 7.5 8.0Risk 4.8 5.7 6.7 7.8 9.2 10.4Return:Risk 1.1 1.1 1.0 0.9 0.8 0.8
Risk Measures
Volatility
(Normal) Value at Risk (VaR): how much can a portfolio’s value decline with a given probability and investment horizon
Modified Value at Risk (VaR): Uses a Cornish-Fisher expansion to include skewness and kurtosis in addition to the standard deviation:
Real Estate Allocations – Non-Normal Risk Measure
MV Optimal
20% RE Constraint
Government Bonds 37.0% 31.8%S&P 500 32.0% 48.2%All Core Funds Index 31.0% 20.0%
Return 7.5% 7.5%Volatility 9.2% 9.7%Skew -1.37 -0.98Kurtosis 6.82 3.29
Normal VaR 95.0% -7.6% -8.4%Modified VaR 95.0% -9.6% -10.3%
Normal VaR 97.5% -10.5% -11.4%Modified VaR 97.5% -18.3% -16.8%
50:50 Core:Opportunity Allocation