{
    "name": "Payback Period Calculator",
    "url": "https://calculators.geekmidst.com/calculators/payback-period-calculator",
    "markdown": "https://calculators.geekmidst.com/calculators/payback-period-calculator.md",
    "category": "Finance",
    "description": "Find how long an investment takes to earn back its cost from a list of cash flows, with the discounted payback period and NPV at your discount rate.",
    "summary": "The payback period is the time it takes for an investment’s cash inflows to add up to its cost. The discounted version first converts each inflow to today’s money, so it is always longer.",
    "also_called": [
        "Discounted payback calculator"
    ],
    "applies_to": "Worldwide",
    "last_updated": "2026-10-29",
    "computation": "Results are computed in the visitor’s browser on the HTML page. This API describes the calculator; it does not compute results.",
    "inputs": [
        {
            "name": "initial",
            "label": "Initial investment",
            "type": "number",
            "default": "10000"
        },
        {
            "name": "flows",
            "label": "Cash inflow for each period",
            "type": "textarea",
            "default": "3000, 3500, 4000, 4000, 4000"
        },
        {
            "name": "rate",
            "label": "Discount rate (per period)",
            "type": "number",
            "default": "8",
            "unit": "%",
            "optional": true
        },
        {
            "name": "currency",
            "label": "Currency",
            "type": "currency",
            "default": "USD"
        }
    ],
    "outputs": [
        {
            "key": "payback",
            "label": "Payback period",
            "format": "number"
        },
        {
            "key": "discounted_payback",
            "label": "Discounted payback period",
            "format": "text"
        },
        {
            "key": "npv",
            "label": "Net present value",
            "format": "currency"
        },
        {
            "key": "total_inflows",
            "label": "Total inflows",
            "format": "currency"
        }
    ],
    "formula": {
        "text": "Payback = k + (amount still unrecovered at the start of period k+1) ÷ (cash flow in period k+1), where k is the last whole period before recovery;  discounted flows CFₜ ÷ (1 + r)ᵗ",
        "variables": {
            "CFₜ": "cash flow in period t",
            "r": "discount rate per period",
            "NPV": "Σ CFₜ ÷ (1 + r)ᵗ − initial investment"
        }
    },
    "worked_example": {
        "inputs": {
            "initial": "10000",
            "flows": "3000, 3500, 4000, 4000, 4000",
            "rate": "8",
            "currency": "USD"
        },
        "steps": [
            "After 2 periods 3,000 + 3,500 = 6,500 is recovered; 3,500 remains and period 3 brings 4,000, so payback = 2 + 3,500 ÷ 4,000 = 2.88.",
            "Discounted at 8%: 2,777.78 + 3,000.69 + 3,175.33 = 8,953.79 after 3 periods; period 4 adds 2,940.12, so 3 + 1,046.21 ÷ 2,940.12 = 3.36.",
            "NPV = sum of all five discounted flows (14,616.24) − 10,000 = 4,616.24."
        ],
        "result": "The investment pays back in 2.88 periods, or 3.36 periods once the 8% cost of money is taken into account."
    },
    "interpretation": "Payback measures risk and liquidity, not profitability: it ignores everything after the break-even point. Use it alongside NPV or IRR, and prefer the discounted version when periods are long or rates are high.",
    "assumptions": [
        "Cash flows arrive evenly through each period, so the fractional part is interpolated.",
        "The discount rate is per period and constant."
    ],
    "limitations": [
        "Cash flows after payback are ignored by the payback figure itself."
    ],
    "rules": null,
    "faqs": [
        {
            "question": "What is a good payback period?",
            "answer": "It depends on the business and the risk. Many firms set a maximum, such as three years for equipment, but a short payback alone does not make a project worthwhile."
        },
        {
            "question": "Why is discounted payback longer?",
            "answer": "Each future cash flow is worth less in today’s money, so it takes more of them to cover the cost."
        }
    ],
    "sources": [],
    "related": [
        {
            "name": "IRR Calculator",
            "url": "https://calculators.geekmidst.com/calculators/irr-calculator"
        },
        {
            "name": "ROI Calculator",
            "url": "https://calculators.geekmidst.com/calculators/roi-calculator"
        },
        {
            "name": "Break-even Calculator",
            "url": "https://calculators.geekmidst.com/calculators/break-even-calculator"
        },
        {
            "name": "Present Value Calculator",
            "url": "https://calculators.geekmidst.com/calculators/present-value-calculator"
        }
    ],
    "disclaimer": "Returns are illustrations at a constant rate, not predictions or guarantees. Investments can lose value. This is not investment advice.",
    "publisher": "GM¹X CalcVerse"
}