Correlation in Portfolio Diversification Singapore
Diversification is often described as the only “free lunch” in investing — combining assets that don’t move together reduces portfolio risk without necessarily sacrificing return. The mathematical backbone of diversification is correlation: the degree to which two assets move in the same direction at the same time. This guide explains correlation for Singapore investors building multi-asset portfolios. Not financial advice.
What Is Correlation?
Correlation measures the degree to which two assets move together, expressed as a coefficient between −1 and +1:
- +1.0: Perfect positive correlation — both assets move in lockstep (e.g. two identical ETFs). No diversification benefit.
- 0: No correlation — asset movements are completely independent. Maximum diversification benefit per unit of return.
- −1.0: Perfect negative correlation — when one rises, the other falls by the same amount. Theoretically zero combined volatility (very rare in practice).
The lower the correlation between two assets, the greater the diversification benefit when combined in a portfolio.
How Correlation Affects Diversification
Adding a second asset to a portfolio reduces overall volatility only if the correlation is below +1. The mathematical relationship (from Modern Portfolio Theory) is:
Portfolio Variance = w₁²σ₁² + w₂²σ₂² + 2w₁w₂σ₁σ₂ρ₁₂
Where ρ₁₂ is the correlation between assets 1 and 2. When ρ = 0, the 2w₁w₂σ₁σ₂ρ term disappears — meaning zero correlation eliminates the interaction term entirely, substantially reducing portfolio variance. This is the mathematical reason diversification works.
Singapore Asset Correlations
| Asset Pair | Approx. Correlation | Diversification Benefit |
|---|---|---|
| S-REITs vs STI (Singapore stocks) | +0.6 to +0.8 | Low — both are SGX equities |
| S-REITs vs Singapore bonds/T-bills | −0.1 to +0.2 | High — different asset class |
| SGX equities vs global equities (VWRA) | +0.5 to +0.7 | Moderate |
| Equities vs gold | −0.1 to +0.2 | High — classic diversifier |
| SGX equities vs CPF/SSB | ~0 | Very high — CPF is uncorrelated with markets |
| Industrial REITs vs Retail REITs | +0.5 to +0.7 | Low — same REIT sector dynamics |
Approximate historical correlations. Correlations change over time and tend to converge toward +1 during severe market crises.
Building a Low-Correlation Singapore Portfolio
A practical low-correlation Singapore portfolio might combine:
- Global equities (VWRA or CSPX) — long-term growth engine, moderate correlation to SGX
- S-REITs or Singapore blue chips — local income, moderate correlation to global equities
- T-bills / SSBs / Fixed deposits — near-zero correlation to equities, capital preservation
- CPF SA/RA — fully uncorrelated guaranteed 4% return
- Gold (5–10%) — negative to zero correlation with equities, crisis hedge
This combination reduces portfolio volatility below what any single asset class could achieve alone. See our Retirement Planning Calculator and Asset Allocation guide for help modelling a balanced portfolio.
Correlation During Market Crises
A well-known limitation of correlation-based diversification is that correlations tend to rise toward +1 during market crises. During the COVID-19 crash (March 2020) and the 2022 rate hike selloff, most equities — including S-REITs, STI stocks, and global ETFs — fell simultaneously. Only gold, government bonds, and cash-like instruments (T-bills, CPF) held their value.
This “correlation breakdown” during crises means diversification provides less protection exactly when you need it most. The solution is to maintain a genuine allocation to true safe-haven assets (CPF, T-bills, SSB, gold) rather than relying entirely on equity diversification.
Portfolio Building Tools
Use these Kopi Notes tools to model diversified Singapore portfolios:
- Dividend Portfolio Yield Calculator — model income across multiple dividend positions
- Retirement Planning Calculator — project wealth accumulation with mixed asset returns
- T-Bill, SSB & Fixed Deposit Comparison Calculator — compare safe-haven yield options