Same capital, same return. Deploy it all on day one, or feed it in month by month? Simulate both paths — and see the true cost of hesitation.
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annual % ÷ 12 ÷ 100 — nominal monthly compoundingcapital × (1 + r)nΣ slice × (1 + r)months left — each monthly slice compounds for its remaining monthslump sum final − DCA finalBoth paths assume the same smooth return, so the comparison isolates timing only. In real markets DCA also buys dips — this model does not simulate price paths. DCA's true edge is behavioral: it gets hesitant capital deployed instead of sitting in cash forever. If the DCA period runs past the horizon, capital not yet deployed is retained as cash.