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Money · Guided lesson

Separate principal and interest in a payment

About 9 minutes · 3 reading + 6 practice and checks
Time includes reading, practice, and questions. Extra videos or further study are optional.
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A checked amortization schedule and loan-offer comparison separating cash received, interest, fees, total cost and early-payment rules.

Keep your working files in your own notebook or software. Save a private description, checklist, and work link in My Proof.

What to include

  • A loan-proceeds comparison with a funding-gap calculation and disclosure questions.
  • A checked one-period payment allocation and principal roll-forward.
  • A four-period amortization table with final payoff and total-interest checks.
  • A term/cost/affordability scorecard for comparable loan offers.
  • An extra-payment scenario with principal application and prepayment questions.
  • A borrowing-or-wait decision brief with a savings path, cost and review trigger.

Review and revise

Use these criteria to check your work and choose what to improve.

  • All supplied records reconcile and the decision uses the named case rules.
  • Calculations show units, intermediate values and a second check.
  • Changed-input practice revises the affected result and identifies uncertainty.
  • The final project combines six lesson records, separates fictional assumptions from current rules, and states a supported next step.
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Before you begin

The idea in everyday life

This is an original fictional practice case. No account, payment, personal record or outside participation is required. Opening principal $1,000, monthly interest rate 1%, payment $260 at month-end. No fees or other balances; round each interest amount to cents.

The idea

Interest pays for the period’s borrowing; only the remainder reduces principal in the stated amortizing model.

Follow along

Separate principal and interest in a payment — worked practice

Interest pays for the period’s borrowing; only the remainder reduces principal in the stated amortizing model.

Use paper or a local table; label all amounts as fictional USD unless the case names another unit. Opening principal $1,000, monthly interest rate 1%, payment $260 at month-end. No fees or other balances; round each interest amount to cents.

Payment allocation inputs

Paste at A1.

AInput or recordBSupplied value
Opening principal USD1000
Monthly interest decimal0.01
End-month payment USD260
RoundingEach interest amount to cents

Copy as plain text
  1. 1. Step 1: Calculate period interest

    Calculate period interest.

    You should see: 1000×0.01=$10.

    Interest pays for the period’s borrowing; only the remainder reduces principal in the stated amortizing model.

  2. 2. Step 2: Subtract interest from the payment

    Subtract interest from the payment.

    You should see: 260−10=$250 principal reduction.

    Keep this intermediate result so the final decision can be checked.

  3. 3. Step 3: Calculate closing principal

    Calculate closing principal.

    You should see: 1000−250=$750.

    Keep this intermediate result so the final decision can be checked.

  4. 4. Step 4: Check the debt roll-forward

    Check the debt roll-forward.

    You should see: 1000+10−260=$750, matching the split method.

    Keep this intermediate result so the final decision can be checked.

Now change one thing

Opening principal is $800 with the same rate and $260 payment. Closing principal?

Your work

What to finish

A checked one-period payment allocation and principal roll-forward.

Common mistake

Watch for this

Subtracting the whole payment from principal before accounting for interest.

How can I tell I understand it?

Split an amortizing payment into period interest and principal reduction on a new supplied case, with a visible intermediate check and no unsupported real-world promise.

Try 3 questions

Quick knowledge check

Answer all 3 questions. Get at least 2 right and the lesson completes automatically.

Not yet passed

You’ll get an explanation for each answer. Signed in? Your results save to your account.

1$500 balance at 1% monthly interest and $105 payment: principal reduction?
2Payment is smaller than period interest under the stated model. What occurs?
3Which rate belongs in a one-month interest calculation?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
2
Finish this lesson

Pass the check. We’ll save the progress.

Answer all 3 questions above and get at least 2 right. You can review the explanations and try again.

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Tools, templates, and lesson sources

Tools and templates

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Sources and further reading

Explore the references behind this lesson.

CFPB — What is amortization and how could it affect my auto loan?
Source & access notes · checked 2026-10-01

Official page opened/read during Money expansion authoring; checked the relevant concept and access state. These sources do not establish funding eligibility.

Access: Readable official webpage inspected with the web reader on 2026-10-01. No interactive-tool operation is claimed.

Reuse: Original fictional practice, questions and calculations; paraphrased concepts with a source link. No source exercise copied.

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