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    Finance
    High School
    Exponential Time-Value of Money

    Fixed Deposit (FD) Calculator

    Maturity amount of a fixed deposit with quarterly compounding, as most banks use

    Standard Formula
    A = P × (1 + r/4)^(4t)

    Interactive Sandbox

    Live Reactive

    Adjust values in real-time and observe mathematical cause-and-effect

    principal
    $
    1300000
    rate
    %
    121
    years
    years
    120
    Live EquationFormula Proof
    A = P × (1 + r/4)^(4t) = 141477.82
    0 yr5 yr$140255
    P: $100000Interest: +$40255
    Calculated Solution
    $141,477.82

    Exponential Compounding Growth: Returns generate subsequent returns over time t, rapidly accelerating capital growth.

    Variable Mechanics

    Roles, constraints & impacts

    3 Params
    principal

    Deposit Amount

    Formula Parameter

    $
    ImpactDirect contribution
    ConstraintReal numbers
    rate

    Annual Interest Rate

    Formula Parameter

    %
    ImpactDirect contribution
    ConstraintReal numbers
    years

    Tenure

    Formula Parameter

    years
    ImpactDirect contribution
    ConstraintReal numbers

    At a Glance

    Gotchas, units & real-world use

    Essential

    Formula Nature & Mechanics

    Exponential Compounding Growth: Returns generate subsequent returns over time t, rapidly accelerating capital growth.

    Common Mistakes & Traps

    • Entering annual percentage rate (e.g. 7%) as 7 instead of converting to decimal 0.07.
    • Neglecting the compounding frequency (n): monthly compounding produces higher yield than annual.
    • Ignoring inflation drag when evaluating long-term nominal returns.

    Dimensional Analysis & Units

    Currency × (1 + rate)^time = Future Currency ($)

    Real-World & Industry Application

    Retirement 401(k) / Roth IRA compounding, mortgage amortization schedules, bond yield analysis, and inflation depreciation modeling.

    Worked Example: Fixed Deposit (FD)

    Given:

    • principal = 100000
    • rate = 7
    • years = 5
    1. Quarterly rate = 7% ÷ 4 = 1.75%
    2. Quarters = 5 × 4 = 20
    3. A = $100,000 × (1 + 0.0175)^20 = $141,477.82
    4. Interest earned = $41,477.82
    5. Effective annual yield = 7.186%

    Answer: 141477.82

    Frequently Asked Questions

    What is the Fixed Deposit (FD) formula?

    A = P × (1 + r/4)^(4t). Maturity amount of a fixed deposit with quarterly compounding, as most banks use.

    How do I calculate Fixed Deposit (FD)?

    Enter Deposit Amount (principal), Annual Interest Rate (rate), Tenure (years) into the calculator. It applies A = P × (1 + r/4)^(4t) and shows every step of the working.

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