asset allocation using fidelity index funds

Optimal Asset Allocation Using Fidelity Index Funds: A Data-Driven Approach

As an investor, I know that asset allocation determines the majority of portfolio returns. Research by Brinson, Hood, and Beebower (1986) suggests over 90% of a portfolio’s variability comes from asset allocation. Fidelity index funds offer a cost-effective way to implement a disciplined strategy. In this guide, I break down how to construct a diversified portfolio using Fidelity’s index funds, backed by mathematical rigor and real-world examples.

Why Asset Allocation Matters

Asset allocation spreads risk across different asset classes—stocks, bonds, real estate, and commodities. The goal is to maximize returns for a given level of risk. Modern Portfolio Theory (Markowitz, 1952) formalizes this with the efficient frontier, where optimal portfolios lie. The Sharpe ratio (S = \frac{R_p - R_f}{\sigma_p}) helps quantify risk-adjusted returns, where R_p is portfolio return, R_f is the risk-free rate, and \sigma_p is portfolio volatility.

Fidelity’s index funds, with expense ratios as low as 0.015%, make it feasible to build a diversified portfolio without high costs eroding returns.

Core Principles of Asset Allocation

1. Risk Tolerance and Time Horizon

Younger investors with longer horizons can tilt toward equities. A common heuristic is subtracting age from 100 to determine equity exposure. For a 30-year-old, this suggests 70% stocks and 30% bonds. However, this rule oversimplifies. I prefer a more nuanced approach, incorporating:

  • Volatility tolerance (Can you stomach a 20% drawdown?)
  • Income needs (Do you rely on portfolio withdrawals?)
  • Financial goals (Retirement, home purchase, legacy planning?)

2. Diversification Across Asset Classes

Correlation coefficients (\rho_{xy}) measure how assets move together. Ideal diversification combines assets with low or negative correlations. Fidelity offers:

  • U.S. Stocks (FXAIX, FSKAX)
  • International Stocks (FTIHX, FSPSX)
  • Bonds (FXNAX, FUAMX)
  • Real Estate (FSRNX)

3. Rebalancing Strategy

Portfolios drift over time. Rebalancing restores the target allocation. I recommend annual or threshold-based rebalancing (e.g., ±5% deviation).

Constructing a Sample Portfolio

Let’s build a moderate-risk portfolio for a 40-year-old with a 20-year horizon.

Asset ClassFidelity FundAllocationExpense Ratio
U.S. StocksFSKAX (Total Market)50%0.015%
International StocksFTIHX (Total Int’l)30%0.06%
U.S. BondsFXNAX (Total Bond)20%0.025%

Expected Return Calculation

Using historical annualized returns (1928–2023):

  • U.S. Stocks: ~10%
  • International Stocks: ~7%
  • U.S. Bonds: ~5%

The portfolio’s expected return (E[R_p]) is:

E[R_p] = 0.5 \times 10\% + 0.3 \times 7\% + 0.2 \times 5\% = 8.1\%

Risk Calculation

Assuming standard deviations (\sigma):

  • U.S. Stocks: 18%
  • International Stocks: 22%
  • U.S. Bonds: 6%

Correlations:

  • \rho_{US,Int} = 0.75
  • \rho_{US,Bonds} = -0.10
  • \rho_{Int,Bonds} = 0.05

Portfolio variance (\sigma_p^2) is:

\sigma_p^2 = w_1^2\sigma_1^2 + w_2^2\sigma_2^2 + w_3^2\sigma_3^2 + 2w_1w_2\rho_{12}\sigma_1\sigma_2 + 2w_1w_3\rho_{13}\sigma_1\sigma_3 + 2w_2w_3\rho_{23}\sigma_2\sigma_3

Plugging in the numbers:

\sigma_p^2 = (0.5^2 \times 18^2) + (0.3^2 \times 22^2) + (0.2^2 \times 6^2) + 2 \times 0.5 \times 0.3 \times 0.75 \times 18 \times 22 + 2 \times 0.5 \times 0.2 \times (-0.10) \times 18 \times 6 + 2 \times 0.3 \times 0.2 \times 0.05 \times 22 \times 6 = 183.24

Thus, \sigma_p = \sqrt{183.24} \approx 13.5\%.

Tax Efficiency and Account Placement

Fidelity’s index funds are tax-efficient, but placement matters:

  • Taxable Accounts: Use FTIHX (foreign tax credit) and FSKAX (low turnover).
  • Tax-Deferred Accounts (IRA/401k): Hold FXNAX (bonds generate ordinary income).

Comparing Fidelity to Competitors

Fund TypeFidelity (FSKAX)Vanguard (VTSAX)Schwab (SWTSX)
Expense Ratio0.015%0.04%0.03%
Minimum Investment$0$3,000$0
Tracking Error0.02%0.03%0.04%

Fidelity wins on cost and accessibility.

Advanced Strategies

1. Factor Tilting

Adding small-cap (FSSNX) or value (FISVX) funds can enhance returns. The Fama-French 3-factor model (R = R_f + \beta_m(R_m - R_f) + \beta_{SMB}SMB + \beta_{HML}HML) justifies tilts toward size and value premiums.

2. Glide Paths for Retirement

Target-date funds (e.g., FDEWX) automate equity-bond shifts. A DIY glide path might look like:

AgeStocksBonds
4080%20%
5070%30%
6060%40%

Common Pitfalls

  1. Overcomplicating: Adding too many funds increases complexity without improving diversification.
  2. Chasing Performance: Stick to the plan; avoid shifting allocations based on recent winners.
  3. Ignoring Costs: Even small fees compound over time. Fidelity’s low-cost structure helps.

Final Thoughts

Asset allocation with Fidelity index funds balances simplicity, cost, and effectiveness. By understanding correlations, risk tolerance, and tax implications, I can construct a portfolio tailored to my goals. The math supports a disciplined approach—no guesswork, just systematic investing.

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