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Finance

Finance solver (TVM) - loans, savings, interest

The fastest way to do compound interest, loan repayments and investments - central to AI.

In short: The finance solver, also called TVM for time value of money, calculates any one of the loan or savings variables when you enter the others: the number of payments N, interest rate I%, present value PV, payment PMT, future value FV and payments per year. Use it for loans, savings and compound interest questions.

When you'd use this

TI-84 Plus CECasio fx-CG50 and fx-CG100TI-Nspire CX

At a glance: TI-84 Plus CE, Casio fx-CG50 and TI-Nspire CX compared

 TI-84 Plus CECasio fx-CG50 and fx-CG100TI-Nspire CX
Key sequenceAPPS → Finance → 1:TVM Solver.From the main menu choose Financial → Compound Interest (or TVM).Calculator page → menu → Finance → Finance Solver.

On a TI-84 Plus CE

  1. APPS → Finance → 1:TVM Solver.
  2. Enter N (number of payments), I% (annual rate), PV (present value), PMT (payment), FV (future value), and P/Y & C/Y (payments/compounds per year).
  3. Use the sign convention: money you pay out is negative, money you receive is positive.
  4. Put the cursor on the unknown and solve.

Tip: Set P/Y and C/Y to match the compounding (12 for monthly). Leave PMT = 0 for a simple lump-sum investment.

On a Casio fx-CG50 and fx-CG100

  1. From the main menu choose Financial → Compound Interest (or TVM).
  2. Enter N (number of payments), I% (annual rate), PV (present value), PMT (payment), FV (future value), and P/Y & C/Y (payments/compounds per year).
  3. Use the sign convention: money you pay out is negative, money you receive is positive.
  4. Put the cursor on the unknown and solve.

Tip: Set P/Y and C/Y to match the compounding (12 for monthly). Leave PMT = 0 for a simple lump-sum investment.

On a TI-Nspire CX

  1. Calculator page → menu → Finance → Finance Solver.
  2. Enter N (number of payments), I% (annual rate), PV (present value), PMT (payment), FV (future value), and P/Y & C/Y (payments/compounds per year).
  3. Use the sign convention: money you pay out is negative, money you receive is positive.
  4. Put the cursor on the unknown and solve.

Tip: Set P/Y and C/Y to match the compounding (12 for monthly). Leave PMT = 0 for a simple lump-sum investment.

Related guides

Try it yourself

Here's a real IB-style question that uses exactly this technique.

Medium Calculator Paper 2 [3 marks]

$5000 is invested at a nominal annual interest rate of 4%, compounded monthly. Find the value of the investment after 3 years, to 2 decimal places.

$5636.36
Mark it
Correct 3 / 3 marks
Worked solution & mark scheme:
M1 N = 36, I% = 4, PV = −5000, P/Y = C/Y = 12
A1 FV = $5636.36

Common questions

When would I need to use the finance solver (TVM) for loans, savings and interest in IB Maths?

The fastest way to do compound interest, loan repayments and investments - central to AI. Compound interest over several years, especially with monthly or quarterly compounding. Finding the monthly repayment on a loan, or how long it takes to pay one off.

How do I use the finance solver (TVM) for loans, savings and interest on a TI-84 Plus CE?

1. APPS → Finance → 1:TVM Solver. 2. Enter N (number of payments), I% (annual rate), PV (present value), PMT (payment), FV (future value), and P/Y & C/Y (payments/compounds per year). 3. Use the sign convention: money you pay out is negative, money you receive is positive. 4. Put the cursor on the unknown and solve.

How do I use the finance solver (TVM) for loans, savings and interest on a Casio fx-CG50 and fx-CG100?

1. From the main menu choose Financial → Compound Interest (or TVM). 2. Enter N (number of payments), I% (annual rate), PV (present value), PMT (payment), FV (future value), and P/Y & C/Y (payments/compounds per year). 3. Use the sign convention: money you pay out is negative, money you receive is positive. 4. Put the cursor on the unknown and solve.

How do I use the finance solver (TVM) for loans, savings and interest on a TI-Nspire CX?

1. Calculator page → menu → Finance → Finance Solver. 2. Enter N (number of payments), I% (annual rate), PV (present value), PMT (payment), FV (future value), and P/Y & C/Y (payments/compounds per year). 3. Use the sign convention: money you pay out is negative, money you receive is positive. 4. Put the cursor on the unknown and solve.

What should I watch out for when I use the finance solver (TVM) for loans, savings and interest?

Set P/Y and C/Y to match the compounding (12 for monthly). Leave PMT = 0 for a simple lump-sum investment.

How are marks awarded when I use the finance solver (TVM) for loans, savings and interest in an IB exam?

In the worked example on this page (3 marks, Paper 2), the marks are: M1: N = 36, I% = 4, PV = −5000, P/Y = C/Y = 12; A1: FV = $5636.36.

Practise with your calculator

Questions that need this technique link back to this guide. Try one in practice mode, or see every GDC guide.