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NotesMath AI HLTopic 1.7What Annuities and Amortization Mean
Back to Math AI HL Topics
1.7.12 min read

What Annuities and Amortization Mean (Math AI HL)

IB Mathematics: Applications and Interpretation • Unit 1

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Contents

  • What an annuity is
  • Savings annuity vs loan repayment
  • Reading finance timelines
  • What IB usually asks about annuities
Annuity: An annuity is a sequence of equal payments made at regular intervals.
SituationPayment pattern
Saving $200 each monthsame deposit each month
Loan repayment of $350 monthlysame payment each month
Irregular spendingnot an annuity
Regular and equal: The key idea is not just repetition.

The payments are repeated at a fixed interval and are the same size.

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TypeWhat happens
Savings annuitymoney is added repeatedly and the balance grows
Amortization / repaymentmoney is paid repeatedly and the loan balance falls

Quick classification

Which is which:

(a) paying $500 every month into an account

(b) paying $500 every month to clear a car loan?

Step by step

  1. (a) is a savings annuity.
  2. (b) is loan repayment / amortization.

Final answer

Savings annuity, then amortization.

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Timeline thinking: Finance questions often become easier when you imagine a timeline of equal payments.
TimeAction
Month 1deposit $100
Month 2deposit $100
Month 3deposit $100
......
Do not confuse one lump sum with repeated payments: A single initial deposit is not the same kind of problem as an annuity with repeated deposits.
Question typeTypical focus
Savings planfuture value after repeated deposits
Loan repaymentmonthly payment or time to clear debt
TVM questioncorrect setup of N, PMT, PV, FV
Spot the repeated payment: Words like 'each month', 'every year', 'regular deposit', and 'equal repayments' are the big clues.

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How What Annuities and Amortization Mean 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 What Annuities and Amortization Mean.

AO1
Describe

Give a detailed account of processes or features in What Annuities and Amortization Mean.

AO2
Explain

Give reasons WHY — cause and effect within What Annuities and Amortization Mean.

AO3
Evaluate

Weigh strengths AND limitations of approaches in What Annuities and Amortization Mean.

AO3
Discuss

Present arguments FOR and AGAINST with a balanced conclusion.

AO3

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Related Math AI HL 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 HL topics

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1.6.4Percentage Error in Context
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Savings Annuities and Future Value1.7.2

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