Texas Instruments Calculator

Texas Instruments Financial Calculator (TVM)
Payment (PMT)Future Value (FV)Present Value (PV)Number of Periods (N)
MonthlyAnnuallyQuarterlySemi-AnnuallyDaily
Result:
Calculated Value =
Note: In TI calculators, outflows (payments/investments) are typically negative and inflows (loans/returns) are positive.
function toggleInputs(){var mode=document.getElementById('solve_for').value;document.getElementById('row_n').style.display=(mode==='n')?'none':'table-row';document.getElementById('row_iy').style.display='table-row';document.getElementById('row_pv').style.display=(mode==='pv')?'none':'table-row';document.getElementById('row_pmt').style.display=(mode==='pmt')?'none':'table-row';document.getElementById('row_fv').style.display=(mode==='fv')?'none':'table-row';}function calculateTI(){var mode=document.getElementById('solve_for').value;var n=parseFloat(document.getElementById('ti_n').value);var iy=parseFloat(document.getElementById('ti_iy').value);var pv=parseFloat(document.getElementById('ti_pv').value);var pmt=parseFloat(document.getElementById('ti_pmt').value);var fv=parseFloat(document.getElementById('ti_fv').value);var comp=parseFloat(document.getElementById('ti_comp').value);var r=iy/100/comp;var result=0;var label="";if(document.getElementById('show_steps').checked){document.getElementById('step_desc').style.display='block';}else{document.getElementById('step_desc').style.display='none';}if(mode==='pmt'){var factor=Math.pow(1+r,n);result=(pv*factor*r+fv*r)/(1-factor);label="PMT (Payment)";}else if(mode==='fv'){var factor=Math.pow(1+r,n);result=-1*(pv*factor+pmt*((factor-1)/r));label="FV (Future Value)";}else if(mode==='pv'){var factor=Math.pow(1+r,n);result=-1*(fv+pmt*((factor-1)/r))/factor;label="PV (Present Value)";}else if(mode==='n'){var i=iy/100/comp;result=Math.log((pmt-i*fv)/(pmt+i*pv))/Math.log(1+i);label="N (Periods)";}if(isNaN(result)){alert("Please check your inputs. Ensure non-zero values for rates and valid sign conventions.");return;}document.getElementById('ti_label').innerHTML=label;document.getElementById('resultValue').innerHTML=(mode==='n')?result.toFixed(2):"$"+result.toLocaleString(undefined,{minimumFractionDigits:2,maximumFractionDigits:2});}toggleInputs();

Texas Instruments Calculator Use

The Texas Instruments calculator, specifically the BA II Plus and TI-84 series, is the industry standard for business students, real estate professionals, and CFA candidates. This online emulator allows you to perform Time Value of Money (TVM) calculations just like you would on a physical TI device.

Whether you are calculating a monthly mortgage payment, the future value of an investment, or the present value of an annuity, this tool follows the specific mathematical algorithms used by TI hardware. Understanding the interaction between N, I/Y, PV, PMT, and FV is crucial for financial literacy.

N (Number of Periods)
The total number of compounding periods (e.g., 360 months for a 30-year mortgage).
I/Y (Interest Rate per Year)
The nominal annual interest rate. Our calculator handles the conversion based on your compounding selection.
PV (Present Value)
The current value of a lump sum or stream of payments. Usually entered as a positive number for loans received.
PMT (Payment)
The amount of the periodic payment made each period.
FV (Future Value)
The value of the asset or cash at a specific date in the future.

How the TI TVM Logic Works

The TI calculator series uses a sign convention where money leaving your pocket is negative and money entering your pocket is positive. The fundamental formula used by the texas instruments calculator engine is:

PV + PMT × [(1 – (1 + i)⁻ⁿ) / i] + FV × (1 + i)⁻ⁿ = 0

  • i: Periodic interest rate (Annual rate / Compounding periods)
  • n: Total number of payments
  • Sign Convention: If you receive a loan (PV is positive), your payments (PMT) should result in a negative value.

Calculation Example: Mortgage Payment

Example: You are buying a home for $300,000 with a 30-year fixed-rate mortgage at 6.5% interest. What is your monthly payment?

Step-by-step solution:

  1. Set Solve For to PMT.
  2. Input N = 360 (30 years × 12 months).
  3. Input I/Y = 6.5.
  4. Input PV = 300,000.
  5. Input FV = 0 (the loan will be paid off).
  6. Set Compounding to Monthly.
  7. Click Calculate.
  8. Result: PMT = -$1,896.20 (Negative because it is an outflow).

Common Questions

Why is my result negative?

Texas Instruments calculators use a "cash flow" directionality. If you borrow $10,000 (Positive PV), you must pay it back (Negative PMT). If you invest $10,000 (Negative PV), you will receive a positive Future Value (Positive FV).

What is the difference between "Begin" and "End" mode?

Most calculations (like mortgages) assume payments are made at the end of the period. This is "End" mode. "Begin" mode is used for annuities-due, like rent, where the payment is made at the start of the month. This calculator defaults to "End" mode, the most common standard.

Can I use this for the CFA Exam?

While this web version of the texas instruments calculator is perfect for practice and homework, the CFA Institute only allows the physical BA II Plus (including Professional) and the HP 12C. Use this tool to verify your manual calculations during study sessions.

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