The previous module laid out the geo-arbitrage equation. Here we quantify its real impact on the two variables that matter: the FIRE Number (target capital) and Years to FI (time to independence). A well-chosen relocation typically divides the FIRE Number by 1.5x to 2.5x. And the years to FIRE by 2x to 3x. It's mechanical, not magical. Two canonical formulas are enough to prove it.
Two numbers define your entire FIRE plan. The FIRE Number = annual expenses × 25 (equivalent to a 4% safe withdrawal). Years to FI = the number of years before you get there, a function of your savings rate and real return. Baseline case: $36,000/year in expenses, 25% savings rate, 5% real return. Result: FIRE Number $900,000, Years to FI roughly 32 years. The full formula for years, ln(1 + r·M·(1−s)/s) / ln(1+r), only matters for understanding why geo-arbitrage hits both variables so hard at once. That's what we look at next.
🇫🇷→🇵🇹 Paris → Lisbon. Paris at $3,000/mo, Lisbon at $1,700/mo, income maintained at $4,200. Classic FIRE = $900,000, geo FIRE = $510,000. Ratio ÷ 1.76. Years to FI: 32 years to 14 years. That's 18 years saved. 🇫🇷→🇲🇽 Paris → Mexico City. Mexico at $1,200/mo. Classic FIRE = $900,000, geo FIRE = $360,000. Ratio ÷ 2.5. Years to FI: 32 years to 9 years. That's 23 years saved. 🇺🇸→🇮🇩 NYC → Bali. NYC equivalent to $4,500/mo, Bali at $1,000/mo, income $6,000. Classic FIRE = $1,350,000, geo FIRE = $300,000. Ratio ÷ 4.5. Years to FI: 33 years to 7 years. That's 26 years saved. The leverage turns massive when you keep your income and divide your cost by more than 3.
Without geo-arbitrage, at a 25% savings rate and 5% real, you take about 32 years. With geo-arbitrage at 60% savings on a halved FIRE Number, you take about 12 years. Naively, you'd expect 32 / 2 = 16 years. Why 12? Because the Years-to-FI formula is non-linear in s: the (1−s)/s term explodes when s drops but collapses when s climbs. The higher your savings rate, the more dramatically each extra savings point shortens the years (the 'shockingly simple math' effect from Mr. Money Mustache). Geo-arbitrage activates this non-linearity.
(1) International lifestyle creep: a $360,000 FIRE Number in Mexico is valid only as long as you stay at $1,200/mo. If you adopt high-end expat standards ($3,000/mo in upscale neighborhoods), your true FIRE Number reverts to around $900,000. Geo-arbitrage requires real spending discipline. Not a luxury relocation. (2) Return risk: if you move back home at 50 (family, health, fatigue), your $360,000 capital only covers about $1,200/mo, around 40% of your home cost. Plan a buffer or a mixed FIRE Number ('Mexico-FI + return-FI'). (3) Exit tax: latent capital gains on tax-deferred accounts may become due upon expatriation (FR exit tax above €800K, US IRA restrictions). Anticipate with a tax specialist.
Three architectures recommended beyond pure 'all-geo'. (1) Partial geo: 5 to 10 years in Lisbon to reach your halved FIRE Number, then a return home with comfortable capital and side income. (2) International semi-FIRE (geographic Coast): relocate to a cheaper area to lower expenses during the compounding phase while keeping a part-time local job. (3) Slow-mad / multi-country residence: 6 months Lisbon / 6 months Bali to optimize visas, climate, taxes, without permanent commitment. Each architecture targets a different FIRE Number and Years to FI, and the calculator below lets you simulate each one.