Professor Jessie

Week 13: Home Ownership & Mortgages

FIN 2100 — Personal Finance · MDC · Fall 2026
Week 13 — The Largest Decision You'll Make
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The Rent-vs-Buy Truth Serum

"A house is the best investment you'll ever make" is a slogan, not an analysis. It's repeated by real estate agents, parents, and television personalities — but it's rarely backed by actual math. The honest comparison between renting and buying requires identifying which costs are unrecoverable — money that builds no equity and is gone forever — and comparing them head to head.

The Unrecoverable Costs of Owning

When you own, a surprising share of your monthly housing spending disappears forever — it doesn't build equity, doesn't grow your net worth, and can't be recovered at sale:

The Unrecoverable Cost of Renting

Rent. That's it. Your rent check is the only money that disappears. Every other dollar you don't spend on housing can be invested and compound in your favor.

The Price-to-Rent Heuristic

A quick screening tool: divide the home price by the annual rent of an equivalent home.

Price-to-Rent RatioWhat It Means
Below 15Buying usually wins
15-20Gray zone — run the full numbers
Above 20Renting + investing the difference usually wins

Example: A $420,000 home vs. $2,000/month rent ($24,000/year). Ratio = 420,000 ÷ 24,000 = 17.5 — gray zone, full analysis required.

When buying genuinely wins: You'll stay 7-10+ years (transaction costs amortize), the payment is comfortably within budget, your local price-to-rent is sane, and you treat it as a place to live that happens to build equity — not a lottery ticket.
When renting wins: You might move in under 5 years, ratios are above 20, or the down payment would consume your entire liquidity. Never zero yourself out for a down payment — that's one layoff from disaster.

Anatomy of a Mortgage: PITI

Your monthly mortgage payment is not just principal and interest. The full PITI breakdown includes:

ComponentWhat It CoversTypical Size
PrincipalReduces your loan balance, builds equityStarts small, grows over time
InterestThe bank's profit — front-loadedStarts large, shrinks over time
TaxesProperty taxes, escrowed by lender1-2% of home value / year
InsuranceHazard insurance, escrowed by lender~0.5% of home value / year
PMIPrivate Mortgage Insurance (if < 20% down)0.5-1.5% of loan / year
HOAHomeowners association dues (if applicable)$200-500+/month

The PITI payment is what you actually owe each month — not the "P&I" number the real estate listing quotes to make it look affordable. Always calculate all-in costs before falling in love with a property.

Amortization: The Bank Gets Paid First

Mortgage amortization is the same compounding formula from Week 11, applied at a 30-year scale — and it reveals a brutal truth about how banks structure loans. On a standard 30-year fixed mortgage, the early payments are overwhelmingly interest. The principal portion is tiny. This is by design: the bank front-loads its profit so that refinancing or selling early still leaves them well-paid.

$320,000 Loan at 6.5% Fixed, 30 Years

Monthly P&I = $2,022. Here's where that money goes at different points in the loan:

Payment #InterestPrincipal% Interest
1 (month 1)$1,733$28986%
180 (year 15)$1,086$93654%
360 (final)$11$2,0110.5%

Total paid over 30 years: ~$728,000. Total interest: ~$408,000 — that's 128% of what you borrowed. You paid for the house twice.

Same loan at 15 years: payment jumps to ~$2,800/month, but total interest drops to ~$184,000 — a savings of $224,000. The question is whether you can afford the higher payment and whether investing the difference elsewhere would earn more.

Principal vs. Interest over the life of a 30-year mortgage — the bank gets paid first
The early-years trap: If you sell after 5 years, you've paid almost entirely interest — you've barely built equity. This is why the "7-10 year horizon" rule exists. If you sell early in high-interest environments, transaction costs plus minimal equity often mean you'd have been better off renting and investing the difference.

Choosing Your Loan Structure

15-Year vs. 30-Year Fixed

30-Year Fixed

  • Lower monthly payment — more cash flow flexibility
  • Higher total interest paid (~$408k on $320k at 6.5%)
  • Slower equity building in early years
  • Can always pay extra to simulate a 15-year
  • Best when: you want optionality and will invest the difference

15-Year Fixed

  • Higher monthly payment (~$2,800 vs $2,022)
  • Lower interest rate (typically 0.5% below 30-year)
  • Much less total interest (~$184k vs $408k)
  • Fast equity building — half the time
  • Best when: cash flow allows and you prioritize debt freedom

Mortgage Points: Prepaid Interest

Points are upfront fees that buy down your interest rate — essentially prepaid interest. One point typically costs 1% of the loan amount and reduces the rate by ~0.25%. Whether they make sense depends entirely on your break-even horizon: how many months of lower payments until you recoup the upfront cost.

Example: Paying $3,200 (1 point on a $320k loan) to reduce your rate from 6.5% to 6.25% saves ~$52/month. Break-even: $3,200 ÷ $52 = ~62 months (~5.2 years). If you'll stay past 5.2 years, points pay off. If you might sell sooner, skip them.

Adjustable-Rate Mortgages (ARMs)

ARMs offer a lower initial rate that resets after a fixed period (typically 5, 7, or 10 years). They're tempting when rates are high — but they carry interest rate risk. If rates rise further when the ARM resets, your payment can jump dramatically. ARMs make sense in narrow situations: you're certain you'll sell or refinance before the reset, or you expect rates to fall. For most primary-residence buyers planning to stay long-term, fixed-rate mortgages eliminate a risk you don't need to take.

The sovereign principle: A 30-year fixed-rate mortgage is one of the few debts worth carrying. You lock in a fixed payment for three decades while inflation erodes its real value — and your salary (hopefully) rises. The bank bears the inflation risk, not you. That's an asymmetric deal in your favor, which is rare in lending.

Affordability: What the Bank Says vs. What You Can Afford

A pre-approval letter tells you the maximum the bank will lend you. It is not a recommendation — it's a sales target. The bank profits from a larger loan. Your job is to determine what you can actually afford while maintaining your other financial goals.

RuleLender SaysThis Course Says
Housing ÷ gross incomeUp to 28-36%≤ 25% of take-home pay, all-in (PITI + PMI + HOA + maintenance)
Total debt-to-income (DTI)Up to 43-50%≤ 36%, including all debts
Down payment3-3.5% allowed (FHA)20% target (kills PMI); minimum 10% with pristine rest-of-plan
Emergency fund post-closingNot requiredIntact + a house-specific sinking fund starting month one

The house-poor trap — a beautiful house with empty investment accounts, one layoff from disaster — is the most common financial mistake among first-time homebuyers. The bank approved the loan; they didn't approve a life.

The Buying Sequence (Do This in Order)

Credit score impact: The difference between a 680 and a 760 credit score can change your mortgage rate by 0.5%. On a $320,000 loan over 30 years, that 0.5% is approximately $37,000 in extra interest. Your credit work from Week 5 is worth a car.

Ownership Economics Beyond the Mortgage

Maintenance Reality

The 1% per year rule means a $400,000 home needs ~$4,000/year in maintenance — averaged over time. But maintenance is lumpy, not smooth: a roof replacement is $12,000, an HVAC system is $8,000, a water heater is $1,500. Some years you spend almost nothing; other years you spend $20,000. This is a sinking fund (from Week 3), not a surprise. Set aside money monthly even when nothing breaks.

Tax Treatment

Mortgage interest is deductible only if you itemize deductions. After the 2017 tax law changes raised the standard deduction significantly, most homeowners no longer benefit from itemizing — run your actual numbers. However, the capital gains exclusion on a primary residence is one of the best free lunches in the tax code: $250,000 for singles, $500,000 for married couples, tax-free, if you lived in the home for 2 of the last 5 years. That's potentially half a million dollars of gains with zero capital gains tax.

Equity Is Not Liquid

A paid-off house produces no cash flow. You can't buy groceries with home equity. HELOCs and cash-out refinances convert equity to debt — useful tools, but not income. In retirement planning, treat home equity as a reserve accessed via downsizing, not as an ATM. The wealthiest retirees often have a paid-off home and a substantial investment portfolio — the house is the safety net, the portfolio is the income.

Professor Jessie says: "A house is a leveraged, illiquid, concentrated bet on one plot of land in one town, with carrying costs and a 30-year ball and chain — that also happens to be your home and a forced-savings machine. Sometimes that's a great trade. Run the numbers before you fall in love with the kitchen."

Practical Exercise: Your Housing Analysis

Four Drills for Your Real Market

Deliverable: The comparison table + amortization numbers + readiness score. This becomes Section 13 of your final Personal Financial Sovereignty Plan. Write a two-page memo: "Should I buy, and when?" with a dated action plan to close any gaps.

Key Takeaways

Next up: Week 14 — Real Estate as an Asset Class. You've decided whether to buy a home. Next week we explore real estate as an investment: rental properties, REITs, house hacking, and the four engines of real estate return. The analysis toolkit — cap rate, cash-on-cash, the 1% rule — becomes your deal-evaluation framework.

Further Learning Resources

Explore these to deepen your understanding of this week's topics:

▶ YouTube The Ultimate First Time Home Buyers Guide — Top Tips and Tricks ▶ YouTube New FHA Loan Requirements 2026 — First Time Home Buyer ▶ YouTube Mortgage Preapproval Process Step by Step 2026 📖 Investopedia Mortgage Amortization Schedule — How It Works 📖 Investopedia Price-to-Rent Ratio — What It Tells You About Buying vs. Renting 📖 Investopedia 15-Year vs. 30-Year Mortgage: Which Is Right for You?