TVM Calculator
Enter any four of N, I/Y, PV, PMT and FV — the calculator solves the fifth with the BA II Plus conventions: outflows negative, P/Y and C/Y respected, END or BGN mode. The keystroke panel updates with your own numbers.
Inputs
Result
Outflows are negative (a loan PV is positive, its PMT negative). The engine keeps full precision; the display rounds to 2 decimals.
BA II Plus keystrokes
The keys above have your inputs substituted — reproduce them on the simulator or a physical BA II Plus.
- [2ND] [CLR TVM]
- [2ND] [P/Y]12[ENTER]
- [↓]12[ENTER]
- [2ND] [QUIT]
- 360[N]
- 6[I/Y]
- 100000[PV]
- 0[FV]
- [CPT][PMT]
Key map (same as the simulator): 2ND P/Y = P/Y worksheet · 2ND BGN = mode · 2ND CLR WORK = clear the open worksheet · 2ND CLR TVM = clear TVM.
Worked example — 30-year mortgage (T1)
N = 360 (30 × 12), I/Y = 6%, PV = 100,000, FV = 0, P/Y = C/Y = 12, END. Solving for PMT gives −599.55 — a payment of 599.55 per month (negative because it leaves your pocket). Press “Load example” above to reproduce it.
Frequently asked questions
Why is the payment negative?
The BA II Plus treats cash outflows as negative. You receive the loan (PV positive) and pay it back (PMT negative). Flip both signs and the answer flips too — the math is identical.
What is the difference between P/Y and C/Y?
P/Y is how many payments per year; C/Y is how often interest compounds. Monthly payments with quarterly compounding: P/Y = 12, C/Y = 4. When you change P/Y, C/Y follows until you set it separately.
When do I need BGN mode?
Use BGN (begin mode) for annuities-due — payments at the start of each period, such as leases or rent. Leave END (the default) for ordinary annuities like mortgages and coupons.
I get Error 5 — what happened?
Error 5 means no solution exists for the combination entered — commonly solving I/Y without a sign change between PV/PMT/FV. Check the four inputs, clear with CE/C, and try again.