Financial Calculator User Guide

AMRT · Amortization

Choose an instruction to see the matching keys and values. Practice separately in the real calculator.

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Worked examples

Know the mode controls

Analyze PM1–PM2 from N, I%, PV, PMT and payment settings. BAL is ending balance; INT/PRN apply to PM1, while ΣINT/ΣPRN total the range.

Review these controls before choosing a case. Keystroke steps show menus opening, selection and closure.

BAL · Open lesson

BAL · Balance — Output: remaining loan balance after payment PM2.

1. Organize the inputs

Solve BAL

Balance and interest over the first 12 payments

Borrow 100,000 at nominal 5%, paying 1,000 monthly, N=120. Use P/Y=C/Y=12, END, and analyze payments 1–12.

BAL example inputs
VariableInputAction
PM11EXE
PM212EXE
N120EXE
I%5EXE
PV100,000EXE
PMT-1,000EXE
BALUnknownSelect → SOLVE

2. Follow the keystrokes

Steps 1–6
Steps 7–12
Steps 13–15
3. Show answer and interpretation

92,837.33 amount

BAL follows payment 12. INT and PRN refer to payment 1; ΣINT and ΣPRN total payments 1–12.

4. Avoid these mistakes

  • PM1 starts at 1; PM2 must be ≥PM1 and ≤N, and cannot extend past payoff. Payments must amortize. PMT is negative; balance keeps the positive principal sign.
  • Finish input with EXE before solving. Clear or changed inputs/settings invalidate earlier results; calculate again.

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) ↗
ΣINT · Open lesson

ΣINT · Total interest — Output: interest paid from PM1 through PM2 inclusive.

1. Organize the inputs

Solve ΣINT

Balance and interest over the first 12 payments

Borrow 100,000 at nominal 5%, paying 1,000 monthly, N=120. Use P/Y=C/Y=12, END, and analyze payments 1–12.

ΣINT example inputs
VariableInputAction
PM11EXE
PM212EXE
N120EXE
I%5EXE
PV100,000EXE
PMT-1,000EXE
ΣINTUnknownSelect → SOLVE

2. Follow the keystrokes

Steps 1–6
Steps 7–12
Steps 13–15
3. Show answer and interpretation

-4,837.33 amount

BAL follows payment 12. INT and PRN refer to payment 1; ΣINT and ΣPRN total payments 1–12.

4. Avoid these mistakes

  • PM1 starts at 1; PM2 must be ≥PM1 and ≤N, and cannot extend past payoff. Payments must amortize. PMT is negative; balance keeps the positive principal sign.
  • Finish input with EXE before solving. Clear or changed inputs/settings invalidate earlier results; calculate again.

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) ↗
INT · Open lesson

INT · Interest — Output: interest portion at payment PM1, using cash-outflow signs.

1. Organize the inputs

Solve INT

Interest — manual workflow

Analyze a 100,000 loan repaid at 1,000 per period. Given PM1=1 · PM2=12 · N=120 · I%=5 · PV=100000 · PMT=-1000, use the settings below to find INT manually.

INT example inputs
VariableInputAction
PM11EXE
PM212EXE
N120EXE
I%5EXE
PV100,000EXE
PMT-1,000EXE
INTUnknownSelect → SOLVE

2. Follow the keystrokes

Steps 1–6
Steps 7–12
Steps 13–15
3. Show answer and interpretation

-416.67 amount

Interest: -416.6666666666667. Output: interest portion at payment PM1, using cash-outflow signs.

4. Avoid these mistakes

  • PM1 starts at 1; PM2 must be ≥PM1 and ≤N, and cannot extend past payoff. Payments must amortize. PMT is negative; balance keeps the positive principal sign.
  • Finish input with EXE before solving. Clear or changed inputs/settings invalidate earlier results; calculate again.

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) ↗
PRN · Open lesson

PRN · Principal — Output: principal portion at payment PM1, using cash-outflow signs.

1. Organize the inputs

Solve PRN

Principal — manual workflow

Analyze a 100,000 loan repaid at 1,000 per period. Given PM1=1 · PM2=12 · N=120 · I%=5 · PV=100000 · PMT=-1000, use the settings below to find PRN manually.

PRN example inputs
VariableInputAction
PM11EXE
PM212EXE
N120EXE
I%5EXE
PV100,000EXE
PMT-1,000EXE
PRNUnknownSelect → SOLVE

2. Follow the keystrokes

Steps 1–6
Steps 7–12
Steps 13–15
3. Show answer and interpretation

-583.33 amount

Principal: -583.3333333333333. Output: principal portion at payment PM1, using cash-outflow signs.

4. Avoid these mistakes

  • PM1 starts at 1; PM2 must be ≥PM1 and ≤N, and cannot extend past payoff. Payments must amortize. PMT is negative; balance keeps the positive principal sign.
  • Finish input with EXE before solving. Clear or changed inputs/settings invalidate earlier results; calculate again.

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) ↗
ΣPRN · Open lesson

ΣPRN · Total principal — Output: principal paid from PM1 through PM2 inclusive.

1. Organize the inputs

Solve ΣPRN

Total principal — manual workflow

Analyze a 100,000 loan repaid at 1,000 per period. Given PM1=1 · PM2=12 · N=120 · I%=5 · PV=100000 · PMT=-1000, use the settings below to find ΣPRN manually.

ΣPRN example inputs
VariableInputAction
PM11EXE
PM212EXE
N120EXE
I%5EXE
PV100,000EXE
PMT-1,000EXE
ΣPRNUnknownSelect → SOLVE

2. Follow the keystrokes

Steps 1–6
Steps 7–12
Steps 13–15
3. Show answer and interpretation

-7,162.67 amount

Total principal: -7162.665703442617. Output: principal paid from PM1 through PM2 inclusive.

4. Avoid these mistakes

  • PM1 starts at 1; PM2 must be ≥PM1 and ≤N, and cannot extend past payoff. Payments must amortize. PMT is negative; balance keeps the positive principal sign.
  • Finish input with EXE before solving. Clear or changed inputs/settings invalidate earlier results; calculate again.

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: BAL · ΣINT · INT · PRN · ΣPRN

AMRT · Operating manual

  1. Enter N, I%, PV, PMT and payment interval PM1/PM2 (starting at 1, PM2 ≥ PM1).
  2. Select BAL, INT, PRN, ΣINT or ΣPRN and SOLVE.
  3. Loan proceeds are positive and payments negative.
  4. Use consistent TVM rate and payment settings.
Keys and settings

Keys and workflow

  1. ↑↓ selects the active row. The highlighted row is the variable you are editing.
  2. 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.
  3. SOLVE calculates the selected unknown/output from the other known values. MATH uses EXE only.
  4. 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