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NotesMath AI SLTopic 1.7GDC / TVM Annuity and Amortization Questions
Back to Math AI SL Topics
1.7.41 min read

GDC / TVM Annuity and Amortization Questions

IB Mathematics: Applications and Interpretation • Unit 1

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Contents

  • TVM variables for annuities
  • Savings annuity setup
  • Loan repayment setup
  • Interpreting outputs
VariableMeaning in annuity questions
Ntotal number of payment periods
PMTregular payment or deposit
PVstarting amount / loan amount
FVending balance or future value
I%interest rate
Choose the unknown: Read the question carefully: are you solving for the final value, the payment, or the number of periods?

Setup example

A saver deposits $200 each month for 5 years. Which TVM entries are immediate?

Step by step

  1. Monthly means N = 5 × 12 = 60.
  2. PMT = 200, and the period frequency settings should match monthly.

Final answer

N = 60, PMT = 200, monthly settings.

Match the period frequency: Monthly payments mean monthly periods. This must match the calculator settings.

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Repayment setup example

A $12 000 loan is repaid monthly over 4 years. What is N?

Step by step

  1. Monthly over 4 years gives 4 × 12 periods.

Final answer

N = 48

Periods, not years: Do not type N = 4 if the payments are monthly. N must count payment periods.
Interpret the answer: If the calculator gives a non-integer number of periods for a 'full months' question, you may need to round up.

Interpretation example

A calculator gives N = 26.4 months. How many full monthly payments are needed?

Step by step

  1. 26.4 months means 26 full payments are not enough.
  2. So you need the next whole payment count.

Final answer

27 full monthly payments

IB Exam Questions on GDC / TVM Annuity and Amortization Questions

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How GDC / TVM Annuity and Amortization Questions 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 GDC / TVM Annuity and Amortization Questions.

AO1
Describe

Give a detailed account of processes or features in GDC / TVM Annuity and Amortization Questions.

AO2
Explain

Give reasons WHY — cause and effect within GDC / TVM Annuity and Amortization Questions.

AO3
Evaluate

Weigh strengths AND limitations of approaches in GDC / TVM Annuity and Amortization Questions.

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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Command terms, paper structure, and mark-scheme tips for Math AI SL

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1.7.3Loan Repayment and Amortization Structure
Next
Solving Simultaneous Equations Graphically1.8.1

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