← All calculator lessons
Grades 9–12 · 50 minutes · Fictional scenario

Rent collected is not profit

Calculate the difference between rental revenue, operating income and cash flow.

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
Purchase price ($)350000
Down payment (%)20
Annual loan interest rate (%)7
Mortgage term (years)30
Purchase closing costs (%)3
Initial repairs / renovation ($)10000
Initial cash reserves ($)10000
Monthly scheduled rent (all units) ($)2800
Monthly other income ($)0
Vacancy / uncollected income (%)5
Annual property taxes ($)4200
Annual property insurance ($)1800
Monthly H O A ($)0
Monthly owner-paid utilities / other costs ($)100
Annual routine repairs ($)2000
Annual capital replacement reserve ($)2000
Management fee on collected income (%)8

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

A tenant pays $2,800. What expenses might the owner still owe?

Investigate · 25–40 minutes

Step 1

Load the rental example. Record scheduled annual income, vacancy allowance, NOI and monthly cash flow.

Step 2

Explain which costs are deducted before NOI and which are deducted after it.

Step 3

Keep the scenario. Increase vacancy to 10% and annual repairs to $4,000. Compare the results.

Step 4

Read the break-even rent. Write one reason the owner may not be able to charge that amount.

Discuss & reflect · 10 minutes

Does a positive cap rate guarantee positive cash flow?

Extension

Work backward from a $300 monthly cash-flow goal. Explain why changing price while keeping dollar taxes fixed is only a scenario.

Teacher guide and assessment

Expected reasoning

No. Cap rate compares NOI with price before financing. Debt payments and capital reserves can turn positive NOI into negative cash flow. Vacancy and repairs reduce the income available to cover those commitments.

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.

Optional coding extension: send the corresponding fictional JSON example through the API documentation. Compare the response with the browser calculator and explain the calculation-version field.

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.