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
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.
Working out the future value of regular savings deposits.
Any "investment" or "loan" word problem in AI - almost always faster on the finance solver than by formula.
Here's a real IB-style question that uses exactly this technique.
MediumCalculatorPaper 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
Correct3 / 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.