LA County · 20-Year Model · $100K Income · Tax-Sheltered Investing

BUY VS RENT
THE REAL NUMBERS

$522K home · 5% down · 6.5% rate · PMI 10 yrs · Avg rent $3,600/mo
Renter invests gap into 401(k)/IRA/403(b) · $5K/yr employer match · $100K income · 50yr S&P avg 10–11.7%

Down Payment 5% · $26,100
Rate 6.5% · 20yr Fixed
PMI 0.85% · 10 Years
Home $522K → ~$1.35M
Income $100K avg
Tax Bracket 22% Fed + 9.3% CA
401k + IRA $19K/yr avg
Employer Match $5K/yr free
S&P 10% conservative · 11.7% base
Buyer (5% Down) — Net Equity · Yr 20
$878K
Home ~$1.35M · fully paid off
Paid $762K in non-equity costs over 20 years
Renter — Portfolio · Yr 20
$2.55M
Tax-sheltered S&P · 10% conservative
4 compounding streams · match + tax savings
Renter Advantage · Yr 20
+$1.67M
Renter buys home cash · keeps $1.2M invested
At 11.7% base → gap exceeds $2.4M
Exhibit 1 — The 20-Year Headline. This is the scenario that reflects most first-time buyers in LA today. The 5% down buyer at 6.5% ends Year 20 with ~$878K in net equity — the home is paid off and worth ~$1.35M, which is genuinely meaningful. But over 20 years they spent ~$762K on costs that built zero wealth: interest to the bank, PMI to the insurer, property taxes, insurance, and maintenance. The disciplined renter investing the full gap into tax-sheltered accounts ends with ~$2.55M at a conservative 10% return. The +$1.67M advantage means the renter could buy the same home outright in cash on Day 1 of Year 21 and still have ~$1.2M invested. Toggle the scenario buttons in Exhibit 4 to see the 50-year S&P historical average (11.7%) — the gap exceeds $2.4M. This analysis captures the complete picture: the monthly housing cost gap, the freed-up down payment invested from Day 1, the full 401k/IRA tax shelter, the employer match, and the annual tax savings — all four compounding simultaneously.
Exhibit 2 — The True Cost of Buying at 5% Down · 6.5%
🏠 Monthly All-In Cost of Ownership
Mortgage P&I (6.5%, 20yr, $495,900)$3,712
PMI (0.85% of loan · Years 1–10 only)$351
Property Tax (1.2% of value)$522
Homeowner's Insurance$150
Maintenance (1%/yr of value)$435
HOA (est. avg)$250
True Monthly Cost · Yrs 1–10~$5,420/mo
After PMI drops (Yrs 11–20) ~$5,069/mo
📊 20-Year Payment Anatomy
Total P&I paid$890,880
— Interest (to bank · builds zero equity)$394,980
— PMI (to insurer · protects lender only)$42,120
Property taxes (20yr)$125,280
Insurance + Maint + HOA (20yr)$200,400
Total Non-Equity Spend~$762,780
Principal repaid (direct equity) $495,900
True Monthly Cost (Yrs 1–10)
$5,420
Mortgage + PMI + taxes + ins + maint + HOA
PMI Total Paid
$42,120
10 years · protects lender · zero equity return
Interest Paid (20yr)
$394,980
To the bank · 44% of total P&I payments
Non-Equity Spend
$762K
Of $1.26M total paid · 61 cents on the dollar
Exhibit 2 — Breaking Down the True Cost. The mortgage payment alone is $3,712/mo — but the real monthly cost of ownership is ~$5,420 once you add PMI, property taxes, insurance, maintenance, and HOA. That is 50% more than the $3,620/mo the renter pays. Over 20 years, $762K leaves the buyer's hands without building a dollar of equity — the largest single chunk being $395K in interest paid to the bank. The PMI line deserves its own paragraph: $42,120 paid over 10 years is money that protects the lender from default risk, not the buyer. It is a pure financial penalty for lacking a 20% down payment — and it makes the already-expensive mortgage meaningfully worse for the first decade. When viewed in full, the buyer spends 61 cents of every dollar on costs that don't become wealth, and 39 cents on principal that does.
Exhibit 3 — The Renter's Four Compounding Engines
🏢 Monthly Renter Outlay
Average Monthly Rent$3,600
Renter's Insurance$20
Total Monthly Housing Cost~$3,620/mo
💰 Monthly Wealth Deployment vs Buyer
Monthly cost gap (Yrs 1–10: $5,420 − $3,620)+$1,800/mo
Monthly cost gap (Yrs 11–20: $5,069 − $3,620)+$1,449/mo
401k/IRA pre-tax contribution+$1,583/mo
Employer match (free money)+$417/mo
Federal tax savings reinvested+$358/mo
Effective Monthly Wealth Deployment~$4,158/mo
📈 Four Streams · 20yr Value @ 10%
① Down payment saved ($26.1K) compounding~$176K
② Monthly housing gap invested~$683K
③ 401k/IRA + employer match ($24K/yr)~$1.52M
④ Tax savings reinvested ($4,290/yr)~$228K
Total Portfolio · Year 20 (10%)~$2.55M
At 11.7% base rate → ~$3.28M
Exhibit 3 — Four Engines, One Portfolio. The renter isn't just investing the mortgage gap — they're activating four simultaneous compounding streams the buyer forfeits entirely. Stream ① is the freed-up down payment ($26,100 kept invested from Day 1, growing to ~$176K). Stream ② is the monthly housing cost gap — a substantial $1,800/mo advantage in Years 1–10 (dropping to $1,449/mo in Years 11–20 after PMI falls off), compounding to ~$683K. Stream ③ is the 401k/IRA engine: $19K/yr in employee contributions plus $5K/yr in employer match = $24K/yr tax-deferred, growing to ~$1.52M — the single largest wealth driver. Stream ④ is the annual tax savings: contributing $19K pre-tax at the 22% bracket saves $4,290/yr in federal taxes, reinvested and compounded to ~$228K. These four streams compound independently and simultaneously. The portfolio curve starts slow and bends sharply in the second decade — exactly when most homebuyers are still making their biggest mortgage payments.
Exhibit 4 — Wealth Accumulation: 20 Years
Conservative (10%/yr)
Base — 50yr S&P Avg (11.7%/yr)
Exhibit 4 — The Divergence. In Years 1–6, the two lines look surprisingly similar — the buyer is building equity and the renter is still ramping up. The crossover happens around Year 9–11. After that, the renter's portfolio compounds on an ever-larger base while the buyer's equity grows roughly at the home appreciation rate (~4.8%/yr). By Year 15 the gap is already large. By Year 20 it's nearly insurmountable. The red line (buyer equity) represents the home's value minus remaining mortgage balance — it closes toward the gold dashed line (home market value) as the mortgage is paid down, finally merging at Year 20. The gap between gold and red in early years is the bank's claim on the property. The teal line (renter portfolio) shows the compounding of all four streams — it appears modest early and explosive late, which is precisely the nature of exponential growth. Toggle to the 50-year S&P average of 11.7% to see the full potential.
Exhibit 5 — The Tax Shelter Multiplier Most Overlooked Layer
401k Avg Contribution
$19K/yr
Pre-tax · grows tax-deferred · no capital gains drag
Employer Match
$5K/yr
100% free money · compounds to ~$286K over 20 yrs
Annual Tax Saved
$4,290
22% fed × $19.5K avg contribution per year
Tax Savings Compounded
$228K
$85,800 saved over 20 yrs → reinvested at 10%
Renter Portfolio Composition — 4 Streams Building Year by Year (10%)
Exhibit 5 — The Layer Most Models Ignore. Contributing $19K/yr pre-tax to a 401k at a $100K salary drops taxable income to ~$81K, saving $4,290 in federal taxes annually. CA state savings add another ~$1,770/yr on top (not included in this model — adding it would push the renter's portfolio even higher). The buyer gets no equivalent benefit: the mortgage interest deduction was significantly curtailed by the 2017 Tax Cuts and Jobs Act, and applies only to itemizers, which fewer than 12% of Americans are today. The employer match is the single most underappreciated variable in this analysis. $5K/yr in free money, compounding at 10% for 20 years, becomes ~$286K — more than 10× the original employer outlay. The stacked bar chart shows how the four streams stack each year: the green 401k+match layer dominates by Year 8 and is the largest single wealth driver by Year 20, outpacing even the home's total appreciated value on its own.
Exhibit 6 — Where the Buyer's $1.26M Goes Over 20 Years
Exhibit 6 — The Anatomy of $1.26M in Payments. The buyer makes total payments of roughly $1.26M over 20 years. Only ~$496K (39%) is principal — the only piece that directly builds net worth. The remaining ~$762K (61%) evaporates into non-equity costs: $395K in interest to the lender, $42K in PMI to the insurer, $125K in property taxes, and $200K in maintenance, insurance, and HOA. The PMI slice is small in absolute terms but uniquely punishing — it is a pure third-party fee triggered by the inability to put 20% down, with no asset value, no tax deduction, and no equity return whatsoever. When the buyer sells the home at Year 20 and pays a 6% realtor commission (~$81K), closing costs (~$10K), and potentially capital gains taxes, the realized net worth drops further — to approximately $787K. Against the renter's $2.55M, that's a 2.9× wealth gap on the same 20-year timeline.
Exhibit 7 — Key Comparisons You Might Have Missed
Break-Even Year
Yr 9–11
When renter portfolio crosses buyer equity — permanently
Wealth Ratio · Yr 20
2.9×
Renter ends with ~3× the buyer's net worth (conservative)
Renter Surplus After Purchase
$1.20M
Remaining portfolio after buying the $1.35M home in cash
📊 Direct Comparison · Year 20
Buyer net equity$878K
Renter portfolio (10% conservative)$2.55M
Dollar advantage (conservative)+$1.67M
Renter portfolio (11.7% base rate)$3.28M
Dollar advantage (base rate)+$2.40M
Wealth ratio (conservative)2.9×
Employer match compounded (20yr)~$286K
⚠️ Hidden Buyer Costs & Adjustments
Realtor commissions at sale (6%)−$81,000
Closing costs at purchase (~2%)−$10,440
Capital gains above $250K exclusionPossible
Property tax rising with assessed valueUnderestimated
Mortgage interest deduction (est.)+~$26K
Adjusted buyer net (after sale costs)~$813K
Renter note: 401k withdrawals taxed as ordinary income at distribution
Exhibit 7 — The Numbers Most Analyses Leave Out. A few comparisons that shift the picture further. On the buyer's side: selling the home at Year 20 triggers ~$81K in realtor commissions and ~$10K in purchase closing costs — bringing realizable buyer net worth down to roughly $787K. Property taxes also tend to rise with reassessment over time, especially in California (Prop 13 limits but doesn't freeze them entirely). The mortgage interest deduction partially offsets this — saving the buyer roughly $26K in federal taxes over the life of the loan at current rates — but it requires itemizing, and fewer than 12% of taxpayers do so post-2017. On the renter's side: 401k and traditional IRA withdrawals in retirement are taxed as ordinary income — the exact rate depends on the retiree's income in that year. Importantly, though, this tax is deferred for potentially 20–40 more years from the point of contribution, and the compounding benefit of that deferral is itself enormous. The break-even year of 9–11 is perhaps the most actionable finding: for the first decade, the buyer is ahead on paper. If you know you'll move in under 10 years, the calculus shifts. If you're staying 20+ years in LA, the renter who invests comes out dramatically ahead.
Final Verdict — Year 20
5% Buyer · Net Worth
$878K
Home paid off · worth ~$1.35M
~$787K after sale costs
Renter Portfolio
$2.55M
Tax-sheltered · 10% conservative
Base 11.7% → $3.28M
Renter Surplus After Buying
$1.20M
Writes check for $1.35M home
Still has $1.2M fully invested
Final Verdict. The 5% down buyer ends Year 20 with a paid-off home worth ~$1.35M — real, meaningful wealth, and the product of 20 years of financial commitment. That deserves genuine acknowledgment. But the disciplined renter who invested the difference ends in a fundamentally different position: ~$2.55M at conservative returns, with the ability to buy the same home in cash and still have ~$1.2M invested. At the 50-year S&P historical average of 11.7%, the surplus after purchasing the home tops $1.9M. The wealth ratio is 2.9× — the renter ends with nearly three times the buyer's net worth on the same income, same timeline, same housing market. The break-even is Year 9–11: before that, the buyer holds the paper advantage. After that, the renter never trails again. The central caveat is behavioral: the renter must invest every month, every year, for two decades without exception. For those who can — particularly those with access to employer-matched retirement accounts and pre-tax shelters — the math against the 5% buyer is not close.
Model assumptions: $522K home (2016), 5% down ($26,100), 6.5% fixed 20yr mortgage (P&I = $3,712/mo), PMI 0.85% for 10 years ($351/mo). Home appreciates at LA County 50yr historical avg ~4.8%/yr → ~$1.35M by Year 20. Renter avg rent $3,600/mo (starting ~$2,800, rising ~2.5%/yr). Monthly gap Year 1–10: ~$1,800/mo (ownership $5,420 − rent $3,620). Year 11–20: ~$1,449/mo after PMI drops. Renter invests freed-up down payment ($26,100) from Day 1. 401k avg $19K/yr + $5K match = $24K/yr. Tax savings at 22% federal = $4,290/yr, reinvested. Conservative S&P return: 10%/yr. Base: 11.7% (50yr historical avg with dividends reinvested). NOT included: CA state 401k savings (~$1,770/yr adds ~$47K compounded); realtor fees on buyer's sale (~$81K); closing costs at purchase (~$10K); 401k withdrawal taxes at distribution; property tax reassessment increases over time.

Employer match alone ($5K/yr · 20 years · 10%) = ~$286K. Free money the buyer never receives.