How does averaging down work mathematically?

Your new average is total dollars spent divided by total coins held. Each purchase adds dollars to the numerator and coins to the denominator. Buying below your current average pulls the average down toward the buy price; the tool solves the algebra for the exact number of fixed-size buys that hit your target.

Why does it say my target is unreachable?

You can only pull your average down to a level above your buy price, never below it. If you want a target average lower than the price you are buying at, no number of purchases at that price will get there. Lower the target or wait for a cheaper price.

Does the result assume a constant price?

Yes. The math assumes every future purchase happens at the single market price you entered. Real prices drift between periods, so treat the buy count and capital as a snapshot and re-run the tool with fresh numbers before each purchase.

Why is the buy count rounded up?

Purchases are whole transactions of a fixed dollar amount, so the tool rounds the exact fractional solution up to the next whole buy. That means the final average slightly overshoots your target on the favourable side rather than falling short.

Can I use this to raise my average instead?

Yes. If your target is above your current average and your buy price is above the target, the tool computes how many buys lift the average up to it. This is useful when adding to a winning position while tracking the new blended cost.

Crypto DCA Target Price Calculator

When a position is underwater, the instinct is to buy more and pull the average down — but how much, and at how many purchases? This calculator solves that directly: given a fixed buy size and a market price, it returns the exact number of dollar-cost-average purchases and the total capital needed to reach the average cost you are aiming for.

How it works

Your average cost is total dollars spent divided by total coins held. Starting from a position of Q0 coins at average A0, each fixed purchase of D dollars at market price P adds D to the dollars spent and D/P coins to the stack. Setting the resulting average equal to your target T and solving for the number of buys n gives a closed-form expression, which the tool evaluates and rounds up to whole purchases.

Crucially, the math also reveals feasibility. To lower your average you must buy below the target price, and to raise it you must buy above. If your buy price sits on the wrong side of the target, no amount of purchasing reaches it, and the tool says so explicitly rather than returning a misleading number.

Example and notes

Hold 10 coins at a 300-dollar average, want a 250-dollar average, and the market is at 150 with 500-dollar buys: the tool finds it takes a handful of purchases and shows the total capital, the coins added, and the resulting average. Because every figure assumes the price stays at 150, re-run it with the live price before each buy — and remember this is position math, not investment advice.