Ti Ba Ii Plus Calculator

TI BA II Plus Future Value Calculator

This calculator simulates the Future Value (FV) function of the Texas Instruments BA II Plus financial calculator. It helps you determine the future value of an investment, considering an initial lump sum, regular periodic payments, an annual nominal rate, and compounding frequency.

Total number of payment periods (e.g., 60 for 5 years of monthly payments).

The annual nominal rate of return or discount rate, as a percentage.

The current value of a future sum of money or stream of cash flows. Enter as a positive value for an initial investment.

The amount of each regular payment or contribution. Enter as a positive value for contributions.

Annually (1) Semi-Annually (2) Quarterly (4) Monthly (12)

Payments per Year (P/Y) and Compounding Periods per Year (C/Y). For simplicity, this calculator assumes P/Y = C/Y.


Determines if payments are made at the end or beginning of each period.

function calculateFutureValue() { var nPeriods = parseFloat(document.getElementById("nPeriods").value); var iAnnualRate = parseFloat(document.getElementById("iAnnualRate").value); var pvPresentValue = parseFloat(document.getElementById("pvPresentValue").value); var pmtPayment = parseFloat(document.getElementById("pmtPayment").value); var frequency = parseFloat(document.getElementById("frequency").value); var paymentTiming = document.querySelector('input[name="paymentTiming"]:checked').value; if (isNaN(nPeriods) || isNaN(iAnnualRate) || isNaN(pvPresentValue) || isNaN(pmtPayment) || nPeriods <= 0 || iAnnualRate < 0 || frequency 0) { if (iPeriodic === 0) { // Handle zero interest rate case for PMT fv_pmt = pmtPayment * nPeriods; } else { fv_pmt = pmtPayment * ((Math.pow(1 + iPeriodic, nPeriods) – 1) / iPeriodic); if (paymentTiming === 'beginning') { fv_pmt *= (1 + iPeriodic); } } } // Total Future Value (financial calculators typically show FV as negative if PV/PMT are positive inflows) // We'll display it as a positive value for user clarity. futureValue = fv_pv + fv_pmt; document.getElementById("result").innerHTML = "

Calculated Future Value:

FV = $" + futureValue.toFixed(2) + "Note: Financial calculators often display Future Value as a negative number if Present Value and Payments are entered as positive (representing cash outflows). This calculator displays the absolute value for clarity."; } .calculator-container { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; background-color: #f9f9f9; border: 1px solid #ddd; border-radius: 8px; padding: 25px; max-width: 600px; margin: 20px auto; box-shadow: 0 4px 12px rgba(0, 0, 0, 0.08); } .calculator-container h2 { color: #2c3e50; text-align: center; margin-bottom: 20px; font-size: 1.8em; } .calculator-container p { color: #555; line-height: 1.6; margin-bottom: 15px; } .calc-input-group { margin-bottom: 18px; padding: 10px; background-color: #fff; border-radius: 5px; border: 1px solid #eee; } .calc-input-group label { display: block; margin-bottom: 8px; color: #34495e; font-weight: bold; font-size: 1.05em; } .calc-input-group input[type="number"], .calc-input-group select { width: calc(100% – 22px); padding: 10px; border: 1px solid #ccc; border-radius: 4px; font-size: 1em; box-sizing: border-box; transition: border-color 0.3s; } .calc-input-group input[type="number"]:focus, .calc-input-group select:focus { border-color: #007bff; outline: none; } .calc-input-group input[type="radio"] { margin-right: 8px; } .calc-input-group .input-description { font-size: 0.85em; color: #777; margin-top: 8px; margin-bottom: 0; } .calculate-button { display: block; width: 100%; padding: 12px 20px; background-color: #28a745; color: white; border: none; border-radius: 5px; font-size: 1.1em; font-weight: bold; cursor: pointer; transition: background-color 0.3s ease; margin-top: 25px; } .calculate-button:hover { background-color: #218838; } .calc-result { margin-top: 30px; padding: 20px; background-color: #e9f7ef; border: 1px solid #d4edda; border-radius: 8px; text-align: center; font-size: 1.15em; color: #155724; word-wrap: break-word; } .calc-result h3 { color: #155724; margin-top: 0; font-size: 1.4em; } .calc-result p { margin-bottom: 5px; color: #155724; } .calc-result strong { font-size: 1.6em; color: #0a3d14; } .calc-result .error { color: #dc3545; font-weight: bold; } .calc-result .note { font-size: 0.85em; color: #6c757d; margin-top: 15px; }

Understanding the TI BA II Plus and Future Value

The Texas Instruments BA II Plus is a widely used financial calculator, essential for students and professionals in finance, accounting, and economics. It's designed to perform a variety of time value of money (TVM) calculations, bond analysis, depreciation, and statistical functions.

Time Value of Money (TVM)

At its core, the BA II Plus excels at TVM calculations, which are fundamental to financial planning and investment analysis. TVM is the concept that money available at the present time is worth more than the identical sum in the future due to its potential earning capacity. This calculator focuses on one of the key TVM functions: calculating Future Value (FV).

What is Future Value (FV)?

Future Value is the value of a current asset at a specified date in the future, based on an assumed rate of growth. It helps investors and financial planners estimate how much an investment will be worth over time, considering initial investments and regular contributions.

Inputs Explained (as they relate to the BA II Plus):

  • N (Total Number of Periods): On the BA II Plus, 'N' represents the total number of compounding or payment periods. If you have monthly payments for 5 years, N would be 60 (5 years * 12 months/year).
  • I/Y (Annual Nominal Rate %): This is the stated annual rate of return or discount rate. The calculator internally adjusts this rate based on the frequency (P/Y & C/Y) to get the periodic rate.
  • PV (Present Value $): This is the initial lump sum investment or the current value of an asset. On the BA II Plus, cash outflows (like an initial investment) are typically entered as negative numbers, and cash inflows (like a loan received) as positive. For simplicity, this calculator assumes you enter initial investments as positive.
  • PMT (Periodic Payment $): This is the amount of a regular, recurring payment or contribution made each period. Similar to PV, cash outflows (like contributions) are typically negative on the BA II Plus. This calculator assumes positive entries for contributions.
  • P/Y & C/Y (Frequency): These settings on the BA II Plus determine how many payments are made per year (P/Y) and how many times interest is compounded per year (C/Y). For many common scenarios, P/Y and C/Y are set to the same value (e.g., 12 for monthly). This calculator simplifies by assuming P/Y = C/Y.
  • Payment Timing (END/BGN Mode):
    • END Mode (End of Period): This is the default setting. Payments are assumed to be made at the end of each period. This is typical for loans and most investments.
    • BGN Mode (Beginning of Period): Payments are assumed to be made at the beginning of each period. This is common for rent payments or some savings plans where contributions are made upfront.

Example Scenario:

Imagine you want to calculate the future value of your investment portfolio. You made an initial investment of $10,000 (PV). You also plan to contribute $100 (PMT) at the end of each month for the next 5 years (N=60 periods). Your investment is expected to earn an 8% (I/Y) annual nominal rate, compounded and paid monthly (Frequency = 12). Payments are made at the End of Period.

Using the calculator with these inputs:

  • N (Total Number of Periods): 60
  • I/Y (Annual Nominal Rate %): 8
  • PV (Present Value $): 10000
  • PMT (Periodic Payment $): 100
  • P/Y & C/Y (Frequency): Monthly (12)
  • Payment Timing: End of Period

The calculator will determine the total future value of your investment, combining the growth of your initial lump sum and your regular contributions over the 5-year period.

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