Crypto Break Even Averaging Calculator

Inputs

1. Initial quantity of tokens (Q₁)
2. Initial buy price (P₁)
3. New buy price (P₂)
4. Target price where you want to be in profit (T)

Step 1 – Calculate initial cost

C1=Q1×P1C₁ = Q₁ \times P₁C1​=Q1​×P1​

Step 2 – Work out how many extra tokens to buy

Let X be the number of tokens you will buy at price P₂.
Total cost after averaging:

Ctotal=C1+X×P2C_{total} = C₁ + X \times P₂Ctotal​=C1​+X×P2​

Total tokens:

Qtotal=Q1+XQ_{total} = Q₁ + XQtotal​=Q1​+X

You want your average price to be strictly less than the target price T:

CtotalQtotal<T\frac{C_{total}}{Q_{total}} < TQtotal​Ctotal​​<T

Solve for X:

C1+XP2Q1+X<T\frac{C₁ + X P₂}{Q₁ + X} < TQ1​+XC1​+XP2​​<T C1+XP2<TQ1+XTC₁ + X P₂ < TQ₁ + XTC1​+XP2​<TQ1​+XT C1−TQ1<X(T−P2)C₁ – TQ₁ < X(T – P₂)C1​−TQ1​<X(T−P2​) X>C1−TQ1T−P2X > \frac{C₁ – TQ₁}{T – P₂}X>T−P2​C1​−TQ1​​

So:

Required tokens to buy

X=max⁡(0,  ⌈C1−TQ1T−P2⌉)X = \max\left(0,\; \left\lceil \frac{C₁ – TQ₁}{T – P₂} \right\rceil\right)X=max(0,⌈T−P2​C1​−TQ1​​⌉)

(Only valid if P₂ < T. If the new buy price is higher than or equal to the target, averaging down to that target is impossible.)

Step 3 – Compute results

• New total tokens: Q_total = Q₁ + X
• New total cost: C_total = C₁ + X * P₂
• New average price: avg_price = C_total / Q_total
• Unrealised profit at target price T: profit_at_T = Q_total * T – C_total

Display:

• “You need to buy X more tokens at P₂.”
• “Your new average entry will be avg_price.”
• “If price hits T, your estimated profit will be profit_at_T.”