The false statement about Lillie’s mortgage is the one claiming she pays more than the monthly minimum. In the standard version of this financial literacy question, Lillie has a $150,000 fixed-rate mortgage at 4% interest over 30 years, with a required principal-and-interest payment of $716.12 per month. Her outstanding balance lines up exactly with what the amortization schedule projects, which is only possible if she has been paying the minimum and nothing extra. The other three statements, covering her account balance, the loan’s start date, and her on-time payment record, are all consistent with her mortgage documents.
The Loan Parameters That Settle the Question
Three numbers do the work here: a $150,000 principal, a fixed 4% annual rate, and a 30-year term. Because the rate is fixed, the principal-and-interest payment stays locked at $716.12 for all 360 months. That figure comes straight from the standard amortization formula, which spreads interest and principal across the term so the balance reaches zero at month 360.
The quiz hands you Lillie’s current balance alongside the loan’s start date. Both numbers are checkable. Pull the amortization schedule for a $150,000 loan at 4% over 30 years, count the months from her start date to today, and read off the scheduled balance for that month. If the two balances match, she has made no extra payments. That is exactly what Lillie’s file shows.
Why “Pays More Than the Minimum” Fails the Math
Extra payments leave fingerprints. Every dollar paid above $716.12 goes directly to principal, which drops the balance below what the schedule projects, shortens the payoff date, and reduces total interest. None of that shows up in Lillie’s numbers. Her balance sits exactly where a minimum-only payment history would put it.
The other three statements survive the same test. A current balance that matches the schedule is a true statement. A start date that produces that scheduled balance when you count forward is a true statement. An on-time record is consistent with a balance that hasn’t fallen behind the schedule. Only the claim about paying above the minimum contradicts what the balance proves.
This matters because the intuition behind the false statement is a common one. Borrowers often assume that paying every month on time means they are making real progress on the principal. On a 30-year loan at 4%, the first monthly payment puts about $500 toward interest and only about $216 toward principal. The balance moves slowly for years unless the borrower deliberately pays more.
What Lillie Actually Pays Over 30 Years
Multiply $716.12 by 360 months and the total comes to $257,803.20. Subtract the original $150,000 and Lillie pays $107,803.20 in interest alone. The cost of borrowing nearly matches the amount borrowed, which is what the front-loaded amortization structure produces at a 4% rate over three decades.
Federal law requires lenders to put this figure in front of borrowers before closing. The Truth in Lending Act mandates disclosure of the total of payments and the Total Interest Percentage, which expresses lifetime interest as a share of the loan amount. For Lillie’s loan the TIP works out to roughly 71.9%, and it appears on both the Loan Estimate at application and the Closing Disclosure before signing.1eCFR. 12 CFR 1026.37 – Content of Disclosures for Certain Mortgage Transactions The finance charge and total-of-payments disclosures themselves are required by statute for all closed-end consumer credit transactions, including mortgages.2Office of the Law Revision Counsel. 15 USC 1638 – Transactions Other Than Under an Open End Credit Plan
How Amortization Confirms the Answer
Amortization is the mechanism that makes the quiz solvable. The schedule for a $150,000 loan at 4% is deterministic. Any specific month in the loan’s life has one correct scheduled balance, and Lillie’s quoted balance either matches it or doesn’t.
In the early years, her payment splits roughly $500 to interest and $216 to principal. By month 180, the halfway point, the split is close to even. Only in the final third of the term does the principal portion dominate. That curve is why extra payments early in the loan have an outsized effect: an extra $100 a month starting in year one can trim several years off the term and save tens of thousands in interest, while the same $100 starting in year 20 does far less, because most of each payment is already going to principal by then.
The practical check is the one the quiz rewards. If Lillie’s balance matches the schedule for her current month, she pays the minimum. If the balance were lower, she would be paying extra. There is no third option.
What the $716.12 Payment Does Not Cover
The $716.12 is principal and interest only. It does not include property taxes, homeowners insurance, or private mortgage insurance. Most lenders collect taxes and insurance through an escrow account, which adds a monthly share of those annual bills to the loan payment. Federal law caps the monthly escrow deposit at one-twelfth of the anticipated annual taxes and insurance, plus a cushion of no more than two months’ worth of those payments.3Office of the Law Revision Counsel. 12 USC 2609 – Limitation on Requirement of Advance Deposits in Escrow Accounts
If Lillie’s property taxes run $3,000 a year and her homeowners insurance costs $1,200, escrow would add roughly $350 a month, bringing her real monthly obligation closer to $1,066. If she put down less than 20%, PMI typically adds another 0.5% to 1% of the loan amount per year, or about $60 to $125 a month on a $150,000 loan. PMI cancels automatically once the balance is scheduled to reach 78% of the home’s original value, provided she is current, and she can request cancellation at 80%.4Federal Reserve. Homeowners Protection Act of 1998
None of these items change the answer to the quiz, which turns on principal and interest. They do explain why a quoted $716 payment and a real-world housing payment are two different numbers.
Running the Same Check on Your Own Mortgage
The skill the Lillie exercise teaches is reading mortgage figures against each other. On your own loan estimate or closing disclosure, a few comparisons catch most errors:
- Multiply the monthly principal-and-interest payment by the number of months in the term. The product should match the disclosed total of payments.
- Subtract the loan amount from the total of payments. The difference should match the disclosed finance charge within rounding.
- Confirm whether the quoted monthly payment includes escrow or covers principal and interest only.
- Compare your current outstanding balance to the amortization schedule for your current month. A significant gap is worth a call to your servicer to ask whether payments were misapplied.
The loan estimate must reach you within three business days of application, and the closing disclosure must arrive at least three business days before signing.2Office of the Law Revision Counsel. 15 USC 1638 – Transactions Other Than Under an Open End Credit Plan That window is there for exactly this kind of check.