{
    "name": "Cash Back or Low Interest Calculator",
    "url": "https://calculators.geekmidst.com/calculators/cash-back-or-low-interest-calculator",
    "markdown": "https://calculators.geekmidst.com/calculators/cash-back-or-low-interest-calculator.md",
    "category": "Finance",
    "description": "Compare a dealer cash-back rebate with a low promotional interest rate: monthly payments, total cost and which offer saves you more money.",
    "summary": "Dealers often let you pick either a cash rebate or cheap financing. Taking the rebate means borrowing less at a normal rate; taking the low rate means borrowing more at a cheap one. Comparing total cost settles it.",
    "also_called": [
        "Rebate vs low APR 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": "price",
            "label": "Purchase price",
            "type": "number",
            "default": "35000"
        },
        {
            "name": "down",
            "label": "Down payment",
            "type": "number",
            "default": "5000",
            "optional": true
        },
        {
            "name": "months",
            "label": "Loan term",
            "type": "number",
            "default": "60",
            "unit": "months"
        },
        {
            "name": "cash_back",
            "label": "Cash back (rebate) offered",
            "type": "number",
            "default": "3000"
        },
        {
            "name": "rate_standard",
            "label": "Interest rate if you take the rebate",
            "type": "number",
            "default": "6",
            "unit": "%"
        },
        {
            "name": "rate_low",
            "label": "Promotional low interest rate",
            "type": "number",
            "default": "1.9",
            "unit": "%"
        },
        {
            "name": "currency",
            "label": "Currency",
            "type": "currency",
            "default": "USD"
        }
    ],
    "outputs": [
        {
            "key": "saving",
            "label": "You save with the better offer",
            "format": "currency"
        },
        {
            "key": "better",
            "label": "Better offer",
            "format": "text"
        },
        {
            "key": "payment_cash_back",
            "label": "Monthly payment with cash back",
            "format": "currency"
        },
        {
            "key": "payment_low_rate",
            "label": "Monthly payment with low rate",
            "format": "currency"
        },
        {
            "key": "total_cash_back",
            "label": "Total cost with cash back",
            "format": "currency"
        },
        {
            "key": "total_low_rate",
            "label": "Total cost with low rate",
            "format": "currency"
        },
        {
            "key": "interest_cash_back",
            "label": "Interest with cash back",
            "format": "currency"
        },
        {
            "key": "interest_low_rate",
            "label": "Interest with low rate",
            "format": "currency"
        }
    ],
    "formula": {
        "text": "Payment = L × i × (1 + i)^n ÷ ((1 + i)^n − 1);  Total cost = Down payment + Payment × n.  Rebate loan L = Price − Down − Rebate; low-rate loan L = Price − Down",
        "variables": {
            "L": "amount borrowed",
            "i": "monthly rate = annual rate ÷ 12",
            "n": "number of monthly payments"
        }
    },
    "worked_example": {
        "inputs": {
            "price": "35000",
            "down": "5000",
            "months": "60",
            "cash_back": "3000",
            "rate_standard": "6",
            "rate_low": "1.9",
            "currency": "USD"
        },
        "steps": [
            "With the rebate you borrow 35,000 − 5,000 − 3,000 = $27,000 at 6% for 60 months: $521.99 a month.",
            "With the low rate you borrow $30,000 at 1.9% for 60 months: $524.52 a month.",
            "Total cost: 5,000 + 60 payments ≈ $36,319.14 with cash back versus ≈ $36,471.29 with the low rate."
        ],
        "result": "Here the $3,000 rebate wins by about $152 over the life of the loan, though the two are close."
    },
    "interpretation": "A big rebate and a short loan favour the cash back; a long loan and a large gap between the two rates favour the low rate. If you would pay cash anyway, the rebate is pure saving.",
    "assumptions": [
        "Payments are monthly at a fixed rate, and the rebate is applied to reduce the amount borrowed.",
        "Sales tax, registration and other fees are the same under both offers and are left out."
    ],
    "limitations": [
        "It compares nominal totals and does not discount future payments.",
        "Promotional rates usually require top-tier credit; check that you qualify before comparing."
    ],
    "rules": null,
    "faqs": [
        {
            "question": "What if I would pay cash?",
            "answer": "Then take the rebate: with no loan, a low interest rate is worth nothing to you."
        },
        {
            "question": "Should I take the rebate and pay the loan off early?",
            "answer": "Paying early cuts the interest on the higher-rate rebate loan, which tilts the comparison further toward the cash back."
        }
    ],
    "sources": [],
    "related": [
        {
            "name": "EMI Calculator",
            "url": "https://calculators.geekmidst.com/calculators/emi-calculator"
        },
        {
            "name": "Loan Amortization Calculator",
            "url": "https://calculators.geekmidst.com/calculators/loan-amortization-calculator"
        },
        {
            "name": "Auto Lease Calculator",
            "url": "https://calculators.geekmidst.com/calculators/auto-lease-calculator"
        },
        {
            "name": "Personal Loan Calculator",
            "url": "https://calculators.geekmidst.com/calculators/personal-loan-calculator"
        }
    ],
    "disclaimer": "This calculator gives estimates for planning. It is not financial advice, and lenders’ actual terms, fees and rounding may differ.",
    "publisher": "GM¹X CalcVerse"
}