3. 1. Recap and introduction
MPT: optimal portfolio allocation among different asset classes
Bonds, stocks, but also real estate (about one third)
Main features of real estate
Direct and indirect real estate
Purpose: Is real estate a good diversifier?
Tool: Modern Portfolio Theory
4. 2. Summary statistics
• UK market
• Bonds
• Stocks
• Direct real
estate
• Indirect real
estate
Feb. 1987 – Dec. 1999 Monthly returns
5. Annualized summary statistics
Indirect RE Direct RE Equity Bonds
Mean 8.28 10.15 13.96 10.43
Standard deviation 21.61 3.06 17.20 3.61
MIN -32.39 -1.78 -30.80 -2.54
MAX 13.10 3.56 13.06 4.35
Sharpe ratio 0.38 3.32 0.81 2.89
6. Insights on summary statistics
Direct RE has the highest Sharpe ratio (3.32)
Indirect RE has the lowest return and the highest volatility
7. 3. Correlation analysis & bear markets
Correlation analysis
Indirect RE Direct RE Equity Bonds
Indirect RE 1
Direct RE -0.01 1
Equity 0.74 -0.08 1
Bonds 0.14 -0.13 0.10 1
8. Insights on correlation analysis
Quite high correlation between equity and indirect RE
Low correlation between bonds and other asset classes
Slightly negative correlation between direct RE and other asset classes
9. «How do the different assets perform
in bear markets?»
10. Insights on correlation analysis
Quite high correlation between equity and indirect RE
Low correlation between bonds and other asset classes
Slightly negative correlation between direct RE and other asset classes
11. 4. Mean-variance analysis
The purpose of the mean-variance analysis is to find out which is the
optimal combination of assets that minimizes the variance in the portfolio,
given an expected return (or viceversa)
Analysis among different asset classes
The optimal portfolio combination lies on the efficient frontier
12. 8
9
10
11
12
13
14
-2 3 8 13 18 23
Returnin%
Risk (SD) in %
Efficient portfolio
Direct and Indirect Equity and Indirect Bonds and Indirect Bonds and Direct Equity and Direct Bonds and Equity Efficient Frontier
14. Insights on the optimal portfolio
Indirect RE does not represent a good diversification tool (weight=0)
Relatively high weight for direct RE, which improves the overall portfolio
efficiency
15. Main drawbacks
Investing in direct real estate is costly
Differences about efficiency in the markets (apples and oranges problem)
The results may not reflect the true optimal allocation
16. 6. Conclusions
Direct RE can be a useful diversification tool
Efficient frontier affected only by direct RE
Direct RE is more efficient, but also costlier and more illiquid
Therefore, an average individual might look for feasible alternatives