Optimal Portfolio A llocation using TLI
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Transcript of Optimal Portfolio A llocation using TLI
© Henley Business School 2008 www.henley.reading.ac.uk
School of Real Estate & Planning
Optimal Portfolio Allocation using TLI
Tommaso Gabrieli University of Reading Davide Manstretta IPD
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Introduction• Motivation
– Property market returns (IPD) are based on Valuers’ appraisal– Vast literature argues that data underestimates true volatility
(smoothing) – New IPD series Transaction-Linked Index (TLI) should
represent true returns and correct for the problem • Devaney and Martinez Diaz JPR 2011
• Research Questions:– Is TLI series different form de-smoothed Valuers’ Based
Index (VBI) series? – Implications for portfolio allocation?
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Agenda• Introduction and Results Overview• A little bit of theory:
– Problem definition
• Empirical Results:– Differences between TLI and de-smoothed VBI– Portfolio Allocation analysis
• Conclusions• Main Result
– TLI and de-smoothed VBI are very different; strong implications for portfolio allocation
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TLI vs. VBI capital growth, QTLY 2002-2010
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Sep-02Jan
-03May-
03Sep
-03Jan
-04May-
04Sep
-04Jan
-05May-
05Sep
-05Jan
-06May-
06Sep
-06Jan
-07May-
07Sep
-07Jan
-08May-
08Sep
-08Jan
-09May-
09Sep
-09Jan
-10May-
10Sep
-10
-15.0
-10.0
-5.0
0.0
5.0
10.0
15.0
TLI q410IPD VBI CG
Quarter
Returns
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Smoothing • Assumptions:
– Property Market Returns are Valuation Based• May Lag Market Movements – Distorts Correlation• May Be “Smoothed” – Understates the Volatility
– “De-smoothing” Procedures• Remove the Impact of Valuations in Data
– Reported return is a blend of “true” and previous return• De-smoothing:
– Rvt = a Rv
t-1 + (1-a)Rt Therefore Rt = {Rv
t - a Rvt-1 } / (1-a)
where a is the “smoothing parameter”• Vast literature:
– Blundell and Ward (1987), Quan and Quigley (1991), Brown and Matysiak (2000), Geltner et al. (2002) and many others…
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TLI vs. De-smoothedTLI Des
0.8Des 0.65
Des 0.5
Des 0.25
Des 0.1
VBI
St Dev 6.4 15.2 8.8 6.5 5.1 4.7 4.5
AR1 0.2 0.1 0.3 0.4 0.6 0.7 0.76
Corr with TLI
1 0.38 0.52 0.62 0.72 0.74 0.74
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TLI vs. De-smoothed
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Sep-02
Dec-02
Mar-03Jun-03
Sep-03
Dec-03
Mar-04Jun-04
Sep-04
Dec-04
Mar-05Jun-05
Sep-05
Dec-05
Mar-06Jun-06
Sep-06
Dec-06
Mar-07Jun-07
Sep-07
Dec-07
Mar-08Jun-08
Sep-08
Dec-08
Mar-09Jun-09
Sep-09
Dec-09
Mar-10Jun-10
Sep-10
Dec-10
-40.0
-30.0
-20.0
-10.0
0.0
10.0
20.0
30.0
TLI q410
VBI des 65%
VBI des 10%
Quarters
Returns
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TLI vs. De-smoothed (Q3 2002 – Q1 2007)
TLI Des 0.8
Des 0.65
Des 0.5
Des 0.25
Des 0.1
VBI
St Dev 4.80 5.1 2.8 2.0 1.4 1.3 1.2
AR1 -0.34 -0.4 -0.3 -0.1 0.3 0.5 0.6
Corr with TLI
1.00 0.33 0.34 0.35 0.32 0.30 0.29
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TLI vs. De-smoothed (Q2 2007 – Q4 2010)
TLI Des 0.8
Des 0.65
Des 0.5
Des 0.25
Des 0.1
VBI
St Dev 6.95 22.79 12.94 9.30 6.90 6.28 5.93
AR1 0.50 0.17 0.25 0.36 0.54 0.62 0.69
Corr with TLI
1.00 0.42 0.56 0.68 0.80 0.84 0.84
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Optimal Portfolio with TLI
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2.2 2.5 2.9 3.2 3.5 3.8 4.1 4.5 4.8 5.1 5.4 0%
10%20%30%40%50%60%70%80%90%
100%Asset Allocation on the Efficient Frontier - TLI
Property Equities Gilts
Risk (%)
Wei
ghts
(%)
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Optimal Portfolio, TLI vs. VBI
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2.2
2.5
2.9
3.2
3.5
3.8
4.1
4.5
4.8
5.1
5.4
0%20%40%60%80%
100%Asset Allocation on the Efficient Frontier - TLI
Risk (%)
Wei
ghts
(%)
1.8
2.5
3.2
3.9
4.5
5.2
5.9
6.6
7.2
7.9
8.6
0%20%40%60%80%
100%Asset Allocation on the Efficient Frontier
Unsmoothed Property Data
Risk (%)Wei
ghts
(%)
1.8
2.5
3.1
3.8
4.5
5.2
5.9
6.5
7.2
7.9
7.8
0%20%40%60%80%
100%
Asset Allocation on the Efficient FrontierDe-Smoothed (0.65) Property Data
Risk (%)Wei
ghts
(%)
1.8
2.5
3.1
3.8
4.5
5.2
5.9
6.5
7.2
7.9
7.8
0%20%40%60%80%
100%Asset Allocation on the Efficient Frontier
De-Smoothed (0.25) Property Data
Risk (%)Wei
ghts
(%)
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Optimal Portfolio, TLI vs. VBI (Q3 2002 – Q1 2007)
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2.2
2.5
2.9
3.2
3.5
3.8
4.1
4.5
4.8
5.1
5.4
0%20%40%60%80%
100%Asset Allocation on the Efficient Frontier - TLI
Risk (%)
Wei
ghts
(%)
1.8
2.5
3.2
3.9
4.5
5.2
5.9
6.6
7.2
7.9
8.6
0%
50%
100%
Asset Allocation on the Efficient FrontierUnsmoothed Property Data
Risk (%)
Wei
ghts
(%)
1.8
2.5
3.1
3.8
4.5
5.2
5.9
6.5
7.2
7.9
7.8
0%
50%
100%Asset Allocation on the Efficient Frontier
De-Smoothed (0.65) Property Data
Risk (%)
Wei
ghts
(%)
1.8
2.5
3.1
3.8
4.5
5.2
5.9
6.5
7.2
7.9
7.8
0%
50%
100%Asset Allocation on the Efficient Frontier
De-Smoothed (0.25) Property Data
Risk (%)
Wei
ghts
(%)
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Efficient Frontier
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1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 -
0.5
1.0
1.5
2.0
2.5
3.0
3.5
VBI
VBI des 025
TLI
VBI des 065
St Dev
Retu
rns
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Conclusion• Findings
– According to TLI, property is a very attractive asset class– TLI and De-smoothed VBI are very different, which is
theoretically worrying...
• Extensions– Annual Data– Implied smoothing parameter
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Thank you for your attention
Questions?Comments?
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