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The 4% Rule: Trinity Study Origins

2026-04-236 min read

What is the 4% rule

The 4% rule is a widely-quoted retirement heuristic:

If your retirement assets equal 25× your annual spending (i.e., you withdraw 4% initially), you have a high probability of not running out over a 30-year retirement.

It originated from:

  • Bengen (1994): original paper in Journal of Financial Planning
  • Trinity Study (1998): Cooley, Hubbard, and Walz expanded Bengen's research

Trinity Study in one paragraph

The researchers back-tested historical US stock and bond data (1926–1995) with various withdrawal rates and portfolio mixes, then checked how often the portfolio survived 30 years. Their finding: 4% initial withdrawal (inflation-adjusted each year) succeeded in 95% of historical periods for balanced 50/50 to 75/25 stock/bond portfolios.

The 95% success rate is where "4% rule" gets its mathematical backing.

Why 4% and not something else

Trinity showed:

  • 4%: 95% success across balanced portfolios
  • 5%: success drops significantly (~80%)
  • 3%: extremely conservative, portfolios usually double or more after 30 years

4% is the intersection of "safe" (high survival rate) and "practical" (meaningful spending). Higher rates start failing in bad historical windows (e.g., retiring in 1965–66 faced the worst 20-year inflation/return combo).

The 25× shortcut

Retirement assets needed = Annual expenses ÷ 0.04 = Annual expenses × 25

Spending NT$600,000/year → need NT$15,000,000 (15M). Simple.

Limitations

1. US historical data only

Bengen and Trinity used US stocks/bonds. Japan, Europe, and Taiwan markets have different histories. The 4% figure may not transfer perfectly.

2. 30-year assumption

For:

  • Early retirees (e.g., FIRE at 50): need 40+ years → 4% is riskier
  • Late retirees (e.g., retiring at 70): 15–20 year horizon → 4% is too conservative

3. "Strict" inflation adjustment

Trinity assumes you mechanically adjust each year's withdrawal for inflation. In reality, retirees often:

  • Spend less when markets are down (flexibility)
  • Spend less as they age (reduced activity)

This natural flexibility means real-world safe withdrawal rates can be higher than 4% (some studies show 4.5–5.5%).

4. Sequence of returns risk

Retiring right before a major crash (e.g., 2000–2002 or 2008) is a worst-case scenario. Even with 4%, bad sequencing can deplete assets faster than average. This is why many retirees keep 2–3 years of cash buffer to avoid selling stocks in downturns.

5. Low bond yields (post-2010)

Trinity's simulations included periods when bonds yielded 5–8%. In the 2010–2021 era of near-zero rates, 4% might have been unsafe. The 2022+ rising rate environment partially restores the original assumption.

Bengen's updates

  • 2006 book: with diversified assets (adding international stocks, REITs), 4.5% became possible
  • 2020 update: in moderate inflation environments, 4.7% became feasible

The 4% figure remains the safe default reference, with 4.5–5% being reasonable upper ranges for well-diversified portfolios and flexible spenders.

Applying to Taiwan

Pension layer

Taiwan residents have mandatory pension coverage (Labor Insurance + Labor Pension) that reduces the burden on personal investments. A couple might receive NT$30K–40K/month from these schemes → NT$360K–480K/year.

Effective 4% calculation for Taiwan:

Personal investment needed = (Annual expense − Annual pension income) × 25

Example: spend NT$72K/year, pension NT$36K/year → personal investment target = (72−36) × 25 = NT$900K, not NT$1,800K as full 4% would suggest.

This cuts the required personal investment roughly in half for many households. See winpie's Retirement Gap Calculator for this integration.

Currency risk

Investing in US stocks and withdrawing in TWD means exchange rate risk. Over 30 years, TWD/USD can swing ±30%. Don't put 100% of retirement in foreign assets without hedging.

Lower historical inflation

Taiwan CPI has averaged 1.5–2% over the past 20 years, below US's 2.5–3%. This makes withdrawals slightly safer in real terms compared to Trinity's assumptions.

For foreign nationals in Taiwan

If you split retirement between Taiwan and your home country:

  • Use your spending currency for annual expenses
  • Adjust withdrawal rate assumption based on your asset mix and local inflation
  • Factor in portability: some pensions aren't paid abroad; Taiwan's Labor Insurance can be claimed abroad under certain treaties

How to use 4% in planning

  1. Estimate annual retirement expenses
  2. Multiply by 25 → total needed
  3. Subtract expected pension income (× 25 equivalent)
  4. Remaining = personal investment target
  5. Use 4% Withdrawal Tool for scenario comparison
  6. Use Monte Carlo Simulation to stress-test your specific situation

Further reading and sources

  • Bengen 1994: "Determining Withdrawal Rates Using Historical Data" — PDF of original paper
  • Trinity Study 1998: Cooley, Hubbard, Walz — "Retirement Savings: Choosing a Withdrawal Rate That Is Sustainable"
  • Bengen 2020 update: proposing 4.7% SAFEMAX with diversified portfolio
  • Vanguard Research — long-term studies on retirement withdrawal rates

Disclaimer

The 4% rule is a starting framework, not a prescription. Individual situations — health, longevity expectations, spending flexibility, asset mix — all shift the right number for you. Consult with a qualified financial planner for personalized retirement planning.

This article is general information only. It does not constitute tax, investment, insurance, or retirement advice. Verify against official sources before acting on anything calculated or explained here.