Financial Calculator User Guide
TVM · Time value of money
Choose an instruction to see the matching keys and values. Practice separately in the real calculator.
Open financial calculator ↗Worked examples
Know the mode controls
Model equal periodic cash flows with N, I%, PV, PMT and FV; P/Y, C/Y and BEGIN/END determine periodic rates and payment timing.
Review these controls before choosing a case. Keystroke steps show menus opening, selection and closure.
FV · Open lesson
FV · Future value — Value at the final period-end; receipts are positive and outflows negative.
1. Organize the inputs
Build a balance with monthly investments
Invest 10,000 now and 2,000 at each month-end. At a nominal annual rate of 5%, compounded monthly, what is the balance after five years (60 payments)?
| Variable | Input | Action |
|---|---|---|
| N | 60 | EXE |
| I% | 5 | EXE |
| PV | -10,000 | EXE |
| PMT | -2,000 | EXE |
| FV | Unknown | Select → SOLVE |
2. Follow the keystrokes
Steps 1–6
Steps 7–11
3. Show answer and interpretation
currency units
PV and PMT are negative outflows; FV is a positive future receipt. The result includes the initial principal, 60 month-end contributions and modeled returns, assuming a fixed rate rather than promising it.
4. Avoid these mistakes
- N counts payments: five monthly-payment years are 60 periods. I%=5 is nominal annual 5%, not monthly 5%.
- Use END, P/Y12 and C/Y12 here. Other scenarios can use different frequencies; changing frequency also requires checking N and PMT units.
- EXE every known value before selecting the unknown and SOLVE. Outflows are negative, receipts positive. Rates may have no or multiple roots; round fractional N up and verify complete payments.
5. Practice it yourself
The link opens a separate calculator tab. It does not fill, clear or change your calculator's inputs; follow the settings and rows above.
Practice in the financial calculator (new tab) ↗PV · Open lesson
PV · Present value — Value today, signed consistently from one person's cash-flow perspective.
1. Organize the inputs
Find the initial principal for a monthly plan
Target 148845.75246672082 after five years, contributing 2,000 at each month-end at a nominal annual 5%, compounded monthly. What initial investment is needed?
| Variable | Input | Action |
|---|---|---|
| N | 60 | EXE |
| I% | 5 | EXE |
| PV | Unknown | Select → SOLVE |
| PMT | -2,000 | EXE |
| FV | 148,845.752466721 | EXE |
2. Follow the keystrokes
Steps 1–6
Steps 7–11
3. Show answer and interpretation
currency units
Negative PV means paying 10,000 today. This reverses the FV case. Enter the full target from the keystrokes; rounding FV first creates a small difference.
4. Avoid these mistakes
- N counts payments: five monthly-payment years are 60 periods. I%=5 is nominal annual 5%, not monthly 5%.
- Use END, P/Y12 and C/Y12 here. Other scenarios can use different frequencies; changing frequency also requires checking N and PMT units.
- EXE every known value before selecting the unknown and SOLVE. Outflows are negative, receipts positive. Rates may have no or multiple roots; round fractional N up and verify complete payments.
5. Practice it yourself
The link opens a separate calculator tab. It does not fill, clear or change your calculator's inputs; follow the settings and rows above.
Practice in the financial calculator (new tab) ↗PMT · Open lesson
PMT · Payment per period — Equal cash flow each payment period, timed by BEGIN or END.
1. Organize the inputs
Find the required month-end contribution
Starting with 100,000, target 300,000 after five years (60 payments). At a nominal annual 5%, compounded monthly, how much must you contribute at each month-end?
| Variable | Input | Action |
|---|---|---|
| N | 60 | EXE |
| I% | 5 | EXE |
| PV | -100,000 | EXE |
| PMT | Unknown | Select → SOLVE |
| FV | 300,000 | EXE |
2. Follow the keystrokes
Steps 1–6
Steps 7–11
3. Show answer and interpretation
currency units per month-end
PMT is approximately −2,524.25 per month-end: an outflow, not a loss. The core retains precision; rounding each real payment to cents slightly changes the final balance. BEGIN pays earlier; keep END here.
4. Avoid these mistakes
- N counts payments: five monthly-payment years are 60 periods. I%=5 is nominal annual 5%, not monthly 5%.
- Use END, P/Y12 and C/Y12 here. Other scenarios can use different frequencies; changing frequency also requires checking N and PMT units.
- EXE every known value before selecting the unknown and SOLVE. Outflows are negative, receipts positive. Rates may have no or multiple roots; round fractional N up and verify complete payments.
5. Practice it yourself
The link opens a separate calculator tab. It does not fill, clear or change your calculator's inputs; follow the settings and rows above.
Practice in the financial calculator (new tab) ↗I% · Open lesson
I% · Annual rate — Nominal annual percentage rate: enter 5 for 5%. P/Y and C/Y determine the equivalent periodic rate.
1. Organize the inputs
Infer the nominal annual rate from monthly flows
Pay 10,000 now and 2,000 at each month-end, receiving 148845.75246672082 after 60 payments. With monthly compounding, what nominal annual rate fits?
| Variable | Input | Action |
|---|---|---|
| N | 60 | EXE |
| I% | Unknown | Select → SOLVE |
| PV | -10,000 | EXE |
| PMT | -2,000 | EXE |
| FV | 148,845.752466721 | EXE |
2. Follow the keystrokes
Steps 1–6
Steps 7–11
3. Show answer and interpretation
% nominal per year
I%=5 means a nominal annual 5%. The monthly rate is 5%/12; the effective annual rate is about 5.1162%, a different measure. This fits the supplied flows, not a forecast.
4. Avoid these mistakes
- N counts payments: five monthly-payment years are 60 periods. I%=5 is nominal annual 5%, not monthly 5%.
- Use END, P/Y12 and C/Y12 here. Other scenarios can use different frequencies; changing frequency also requires checking N and PMT units.
- EXE every known value before selecting the unknown and SOLVE. Outflows are negative, receipts positive. Rates may have no or multiple roots; round fractional N up and verify complete payments.
5. Practice it yourself
The link opens a separate calculator tab. It does not fill, clear or change your calculator's inputs; follow the settings and rows above.
Practice in the financial calculator (new tab) ↗N · Open lesson
N · Payment periods — Payment periods; years=N÷P/Y. Distinguish fractional periods from complete payment counts.
1. Organize the inputs
Count monthly payments to reach a goal
Starting with 100,000 and contributing 2,000 at each month-end, how many payment periods reach 500,000 at a nominal annual 5%, compounded monthly?
| Variable | Input | Action |
|---|---|---|
| N | Unknown | Select → SOLVE |
| I% | 5 | EXE |
| PV | -100,000 | EXE |
| PMT | -2,000 | EXE |
| FV | 500,000 | EXE |
2. Follow the keystrokes
Steps 1–6
Steps 7–11
3. Show answer and interpretation
monthly payment periods (years=N/12)
The mathematical solution is about 126.147953 periods (10.512329 years), using compound interpolation rather than a partial month's full contribution. For month-end-only deposits, use 127 complete payment periods (10 years 7 months): period 126 is below the goal and 127 reaches it. Round up and verify.
4. Avoid these mistakes
- N counts payments: five monthly-payment years are 60 periods. I%=5 is nominal annual 5%, not monthly 5%.
- Use END, P/Y12 and C/Y12 here. Other scenarios can use different frequencies; changing frequency also requires checking N and PMT units.
- EXE every known value before selecting the unknown and SOLVE. Outflows are negative, receipts positive. Rates may have no or multiple roots; round fractional N up and verify complete payments.
5. Practice it yourself
The link opens a separate calculator tab. It does not fill, clear or change your calculator's inputs; follow the settings and rows above.
Practice in the financial calculator (new tab) ↗Supported results and operating manual
Targets across the lessons: FV · PV · PMT · I% · N
TVM · Operating manual
- Select N, I%, PV and PMT with ↑↓. Enter each known value and press EXE.
- Example: N = 60 · I% = 5 · PV = −100000 · PMT = 0. Outflows are negative; inflows are positive.
- Select the unknown FV and press SOLVE. You can also solve another unknown row.
Keys and settings
Keys and workflow
- ↑↓ selects the active row. The highlighted row is the variable you are editing.
- Enter a number or expression (500*6 or 10000*(1.05)^10), then EXE to evaluate, store and advance. Dates use date input instead of expressions.
- SOLVE calculates the selected unknown/output from the other known values. MATH uses EXE only.
- CLR clears the draft while editing; otherwise it clears only the selected stored variable. Backspace recalls a stored value and deletes its last character, then EXE stores the change. Escape cancels a draft and restores the original value. After EXE advances, select the field you want to change. Clearing a stored input invalidates dependent results. Selecting a read-only result or history row leaves it untouched; settings and MATH history are preserved. MENU offers current-mode clear and calculator reset.
Settings: P/Y is payments per year; C/Y is compounding per year. BEGIN/END selects beginning/end-of-period payments for TVM and AMRT. N counts payment periods, not years. Enter 5 for 5%.
MENU → Fill Example provides working inputs for the current mode. N/A or an error means the inputs/settings do not support a valid result; check the highlighted field and domain restrictions.
Need help with signs or EXE/SOLVE? Read FAQ