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Grades 10–12 · 50 minutes · Fictional scenario

The payment that arrives later

Explain amortization and why a balloon payment changes financing risk.

Open calculator in a new tab ↗ Read the related economics lesson

Materials: calculator page, paper or this response sheet, and a basic calculator. “Keep for comparison” preserves up to three scenarios while that calculator tab stays open.

Prepare the fictional setup

Click “Load example” in the calculator before starting. The first scenario is fictional and may intentionally show a difficult financial outcome.

Complete setup reference
Price paid to seller ($)450000
Buyer down payment (%)20
Seller-financed share of price (%)20
Bank annual interest rate (%)10
Bank amortization / payoff (years)10
Cash-paid transaction & loan fees ($)15000
Extra working capital / reserves ($)30000
Seller annual interest rate (%)6
Seller amortization (years)10
Seller payoff / balloon at year5
Annual cash available for debt service ($)150000

Typed responses stay in this tab. Save a PDF to keep your work. Do not enter real household or student financial information.

Warm-up · 5 minutes

Would you prefer a smaller payment now if a large balance came due later? What else would you need to know?

Investigate · 25–40 minutes

Step 1

Load the business-financing example and identify the buyer cash, bank loan and seller note.

Step 2

Record the monthly payment and seller balloon at year five. Explain why a balance remains.

Step 3

Keep the scenario. Change the seller payoff year to ten and compare the balloon and total interest.

Step 4

Write a cash plan for the five-year balloon without assuming that refinancing is guaranteed.

Discuss & reflect · 10 minutes

Can a low monthly payment hide a large future obligation?

Extension

Set the seller rate to 0%. Check by hand that a $90,000 ten-year note pays $750 monthly and owes $45,000 after five years.

Teacher guide and assessment

Expected reasoning

The $450,000 example uses $90,000 buyer down payment, a $270,000 bank loan and a $90,000 seller note. A ten-year amortization repaid at year five leaves a balloon; setting the payoff to year ten amortizes it fully.

Use the calculator’s breakdown to check rounding. The teacher explanation is tied to the fictional setup above, not to any learner’s edited scenario.

Quick assessment · 6 points

  • 2 points: accurate calculations with units and labeled scenarios.
  • 2 points: explains how changing one assumption changes the result.
  • 2 points: supports a conclusion with evidence and names a limitation.

Support: work through one scenario together and use a simple table. Challenge: ask the learner to find a counterexample or solve a target by hand. These are flexible suggested grade bands, not a standards-alignment claim.

Methods & sources

Formula explanations, assumptions and source links are on the calculator page. This is an educational activity, not a recommendation to borrow, invest or make a purchase.