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.

What is the Crypto DCA Target Price Calculator?

Enter current holdings, average cost basis, target average price, market price, and periodic amount to compute how many additional dollar-cost-average purchases and how much total capital are needed to reach a new target average. Built for hodlers averaging down. It runs free in your browser on Gera Tools, with nothing uploaded.

Crypto DCA Target Price Calculator

Name: Crypto DCA Target Price Calculator
Creator: Gera Tools
License: https://creativecommons.org/licenses/by/4.0/

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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.

Worked example

Suppose you hold 2 ETH purchased at an average of $3,000 each — a position value of $6,000 at cost, now underwater. The current market price is $2,000. You want to reach an average cost of $2,500, and you plan to buy in $1,000 increments.

Each $1,000 buy at $2,000 adds 0.5 ETH. Setting the algebra:

Current stake: 2 ETH at $3,000 avg = $6,000 total spent
Each purchase: +$1,000 spent, +0.5 ETH held
Target average: $2,500

The tool solves for n purchases such that (6,000 + n × 1,000) ÷ (2 + n × 0.5) = 2,500. This works out to n = 4 purchases (4 × $1,000 = $4,000 additional capital), adding 2 ETH for a total of 4 ETH at $10,000 spent — an average of exactly $2,500.

Why the target must be between current average and buy price

The fundamental constraint of averaging down is that each purchase moves your average toward the buy price but can never push it past it. If your buy price is $2,000 and your current average is $3,000, your average after any number of buys will sit somewhere between $2,000 and $3,000 — the target must be in that range.

Similarly, to raise your average (adding to a winning position), the buy price must exceed your target. The tool checks feasibility before solving and states explicitly when the target is unreachable at the given price.

Practical notes on averaging down

The calculator shows the math but not the risk. Averaging down works when the asset eventually recovers; it amplifies losses when it does not. A few considerations:

Treat the total capital commitment as a hard planning limit before you start. Knowing you will need $4,000 more capital before you begin buying is very different from discovering that on the fourth purchase.
Re-run the tool with the live market price before each actual purchase. Prices move between buys, and the number of remaining purchases shifts with them.
The model assumes purchases at a constant price. In practice you will often get slightly different fills; treat the result as a plan, not a commitment.
This is position sizing math, not investment advice. The decision to average down on any asset is a separate judgement about the asset’s outlook.