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MasterMath

Second-Hand Price Calculator

What to sell or pay for a used item based on what it cost new, how old it is and the condition it is in.

Fair price

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Fair price—
Price to list it at—
Below this, think twice—
Value from age alone—
Of the original price it keeps—
What it has lost—

How this was worked out

    The formula

    price = price when new × (1 − drop)^years × condition factor

    Where it comes from

    Things do not lose value in equal slices each year: they take a big bite the first year and the fall softens after that, because what depreciates is always what is left. That is the difference between a straight line and a geometric curve, and the reason a two-year-old phone is not worth exactly half of a one-year-old. The yearly drop depends heavily on the category: consumer electronics runs around thirty to forty per cent a year, appliances fifteen, good furniture and tools considerably less. Condition applies afterwards, on what is left, and the box or a live warranty are a small but real premium at resale.

    How to work it out by hand

    1. Apply the yearly drop as many times as the item is old: that is the value from age alone
    2. Multiply it by the coefficient for the condition it is in
    3. Adjust upwards if you kept the box, the accessories or a warranty
    4. Subtract what it would cost to fix whatever does not work

    What is worth knowing

    This gives a starting point, not a market price. What settles it in the end is what that exact model is actually selling for, and that is read in sold listings, not in live ones: anyone can ask whatever they like. If you have that reference, put it in the market price field and the page will tell you whether your figure fits.

    Frequently asked questions

    How fast does a phone lose value?

    Thirty to forty per cent a year, and more in the first year for a model refreshed every season. Flagships hold up somewhat better.

    Why is the fall not linear?

    Because each year loses a percentage of what is left, not of the original price. That is why the first years take almost all of it.

    How much does keeping the box add?

    Not much, around five per cent, but on collectables or well-kept electronics it can be considerably more.

    What price should I list it at?

    Somewhat above the fair price, to leave room to negotiate. This page suggests fifteen per cent above and a floor below which it is worth thinking twice.