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NotesMath AI SLTopic 1.7Loan Repayment and Amortization Structure
Back to Math AI SL Topics
1.7.31 min read

Loan Repayment and Amortization Structure

IB Mathematics: Applications and Interpretation • Unit 1

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Contents

  • Repayment structure
  • Interest vs principal
  • What amortization means
  • Interpreting repayments in context
Each repayment has two jobs: A repayment usually covers interest first, then reduces the principal still owed.
Part of repaymentPurpose
Interest partcost of borrowing
Principal partreduces the loan balance
The loan balance falls over time: As the balance falls, the interest part usually becomes smaller.

Concept example

A monthly repayment is $400. If $120 is interest, how much reduces the principal?

Step by step

  1. Principal reduction = repayment - interest.

Final answer

$280 reduces the principal.

Do not call the whole payment interest: Only part of the repayment is interest. The rest actually pays off the loan.

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Amortization: Amortization means gradually reducing a loan through regular repayments until the balance reaches zero.
Early in loanLater in loan
Higher balance, so often more interestLower balance, so often less interest
Smaller share paying off principalLarger share paying off principal
Read the table language: IB may give repayment tables, balance schedules, or plain-language descriptions. The structure idea is the same.

Interpretation example

Why might the same monthly repayment clear more principal later in the loan?

Step by step

  1. Because the outstanding balance is smaller later on.
  2. That usually means less interest is charged in that period.

Final answer

More of the repayment can go toward principal later in the loan.

This is a pattern question: You do not always need a full amortization table. Sometimes IB just wants you to explain the pattern.

IB Exam Questions on Loan Repayment and Amortization Structure

Practice with IB-style questions filtered to Topic 1.7.3. Get instant AI feedback on every answer.

Practice Topic 1.7.3 QuestionsBrowse All Math AI SL Topics

How Loan Repayment and Amortization Structure Appears in IB Exams

Examiners use specific command terms when asking about this topic. Here's what to expect:

Define

Give the precise meaning of key terms related to Loan Repayment and Amortization Structure.

AO1
Describe

Give a detailed account of processes or features in Loan Repayment and Amortization Structure.

AO2
Explain

Give reasons WHY — cause and effect within Loan Repayment and Amortization Structure.

AO3
Evaluate

Weigh strengths AND limitations of approaches in Loan Repayment and Amortization Structure.

AO3
Discuss

Present arguments FOR and AGAINST with a balanced conclusion.

AO3

See the full IB Command Terms guide →

Related Math AI SL Topics

Continue learning with these related topics from the same unit:

1.1.1Converting to standard form
1.1.2Back to ordinary form
1.1.3Calculations with standard form
1.1.4Validity checks and GDC output
View all Math AI SL topics

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1.7.2Savings Annuities and Future Value
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GDC / TVM Annuity and Amortization Questions1.7.4

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