asset allocation and rebalancing

The Art and Science of Asset Allocation and Rebalancing

Asset allocation and rebalancing form the backbone of sound investment strategy. I have spent years refining portfolios, and the difference between success and mediocrity often hinges on these two principles. While stock picking and market timing grab headlines, disciplined asset allocation and systematic rebalancing quietly drive long-term wealth.

What Is Asset Allocation?

Asset allocation divides investments across different asset classes—stocks, bonds, real estate, cash, and alternatives—to balance risk and reward. The right mix depends on financial goals, risk tolerance, and time horizon.

The Mathematical Foundation

Modern Portfolio Theory (MPT), introduced by Harry Markowitz in 1952, mathematically formalizes asset allocation. The key idea is diversification—combining assets with low correlation to reduce overall portfolio risk without sacrificing returns.

The expected return of a portfolio E(R_p) is the weighted sum of individual asset returns:

E(R_p) = \sum_{i=1}^{n} w_i E(R_i)

Where:

  • w_i = weight of asset i
  • E(R_i) = expected return of asset i

Portfolio risk (standard deviation) is not a simple weighted average due to correlation:

\sigma_p = \sqrt{\sum_{i=1}^{n} \sum_{j=1}^{n} w_i w_j \sigma_i \sigma_j \rho_{ij}}

Where:

  • \sigma_i, \sigma_j = standard deviations of assets i and j
  • \rho_{ij} = correlation coefficient between assets i and j

Asset Classes and Their Characteristics

Asset ClassExpected ReturnRisk (Volatility)Liquidity
U.S. Stocks7-10%HighHigh
Bonds2-5%Low-MediumHigh
Real Estate4-8%MediumMedium
Cash0-2%LowVery High
CommoditiesVariableHighMedium

Strategic vs. Tactical Asset Allocation

Strategic asset allocation sets long-term targets based on risk tolerance. Tactical allocation allows short-term deviations to capitalize on market opportunities. I prefer a strategic core with limited tactical adjustments—too much tinkering often backfires.

Example: A Moderate Risk Portfolio

  • Stocks: 60% (45% U.S., 15% International)
  • Bonds: 30% (20% Treasuries, 10% Corporate)
  • Real Estate: 7%
  • Cash: 3%

Why Rebalancing Matters

Over time, market movements skew allocations. A 60/40 stock-bond portfolio can drift to 70/30 after a bull market, increasing risk. Rebalancing restores the original mix, forcing us to “sell high and buy low.”

Rebalancing Strategies

  1. Time-Based: Adjust quarterly, annually, or biannually.
  2. Threshold-Based: Rebalance when an asset class deviates by a set percentage (e.g., 5%).

The Math Behind Rebalancing

Suppose a portfolio starts at 60% stocks and 40% bonds. After a year, stocks rise 20%, and bonds fall 5%. The new weights are:

Stocks = 0.60 \times 1.20 = 0.72
Bonds = 0.40 \times 0.95 = 0.38

Total = 1.10

Normalized weights:


Stocks = \frac{0.72}{1.10} = 65.45\%

Bonds = \frac{0.38}{1.10} = 34.55\%

To rebalance back to 60/40, we sell stocks and buy bonds:

Sell = 65.45\% - 60\% = 5.45\%

Behavioral Challenges

Investors often resist rebalancing. Selling winners feels wrong, and buying losers seems risky. Yet, history shows rebalancing boosts returns and reduces risk.

Empirical Evidence

A Vanguard study found that a annually rebalanced 60/40 portfolio outperformed an unrebalanced one by 0.4% annually over 90 years, with lower volatility.

Tax Considerations

In taxable accounts, rebalancing triggers capital gains. I prefer:

  • Using dividends to buy underweight assets.
  • Rebalancing in tax-advantaged accounts (e.g., IRAs, 401(k)s).

Dynamic Asset Allocation

Some investors adjust allocations based on valuation metrics like P/E ratios. While logical, this requires discipline—many bail too early or too late.

Final Thoughts

Asset allocation and rebalancing are not glamorous, but they work. The key is sticking to a plan, ignoring noise, and letting compounding do its job. I have seen too many investors chase hot trends only to burn out. A simple, disciplined approach wins in the long run.

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