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    Finance
    High School
    Exponential Time-Value of Money

    Inflation Calculator

    What something that costs a given amount today will cost after years of inflation, and how much buying power money loses

    Standard Formula
    Future cost = Today's cost × (1 + inflation)ᵗ

    Interactive Sandbox

    Live Reactive

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

    amount
    $
    13000
    rate
    %
    120
    years
    years
    130
    Live EquationFormula Proof
    Future cost = Today's cost × (1 + inflation)ᵗ = 1790.85
    0 yr10 yr$1791
    P: $1000Interest: +$791
    Calculated Solution
    $1,790.85

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

    Variable Mechanics

    Roles, constraints & impacts

    3 Params
    amount

    Cost Today

    Formula Parameter

    $
    ImpactDirect contribution
    ConstraintReal numbers
    rate

    Annual Inflation Rate

    Formula Parameter

    %
    ImpactDirect contribution
    ConstraintReal numbers
    years

    Years

    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: Inflation

    Given:

    • amount = 1000
    • rate = 6
    • years = 10
    1. Growth factor = (1 + 6%)^10 = 1.7908
    2. Future cost = $1,000 × 1.7908 = $1,790.85
    3. $1,000 kept as cash will buy only $558.39 of today's goods after 10 years
    4. Buying power lost = 44.2%

    Answer: 1790.85

    Frequently Asked Questions

    What is the Inflation formula?

    Future cost = Today's cost × (1 + inflation)ᵗ. What something that costs a given amount today will cost after years of inflation, and how much buying power money loses.

    How do I calculate Inflation?

    Enter Cost Today (amount), Annual Inflation Rate (rate), Years (years) into the calculator. It applies Future cost = Today's cost × (1 + inflation)ᵗ and shows every step of the working.

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