How MoonMath calculates dca vs lump sum

The formula

Both strategies spend the same amount through the same purchase routine: lump sum buys once at the first observed price, spreading buys at every observed price. Both are valued at the final observed price and compared.

What it reads

• The amount to invest
• A chronological series of observed prices, oldest first
• The percentage fee and any fixed fee per purchase

What it assumes

• A fixed fee is charged on every purchase, so the spread strategy pays it many times against the lump sum's once — that asymmetry, not the price path alone, moves the outcome
• Every scheduled purchase fills at the observed close with no slippage or depth constraint
• The schedule takes the first observation at or after each interval, so real purchase dates drift with data coverage
• Costs must stay below each purchase allocation or the calculation is refused

Run it

Backtest equal scheduled purchases against one purchase at the start of the same observed token-price window. Both strategies use the same total budget, costs and final valuation date.

How the market itself works

This page describes MoonMath's arithmetic. The mechanics section describes the market: how an order book forms a price, why order-book depth is not the same thing as pool liquidity, and what a public book does and does not let you observe.