Why an extra payment on its own does not lower the payment, and a recast does. On a level-payment loan the monthly amount was fixed at origination by amortizing the original balance over the original term. Paying extra principal reduces the balance and therefore reduces every future interest charge, but nothing in the note recalculates the payment, so the schedule simply ends earlier. Published material on amortization and on fixed-rate mortgages covers that mechanism. A recast is the recalculation itself. The same dollars, applied in the same way, buy a shorter loan without one and a smaller payment with one, and the borrower chooses which.
The consequence for total interest is not what most people assume. The lump sum saves interest either way, because it removes balance the interest was accruing on. But a plain curtailment leaves the payment intact, so the loan retires faster and total interest falls further. A recast redirects part of that benefit into monthly cash flow instead, and because the loan now runs its full original term at a lower payment, total interest ends up higher than it would have been had the payment been left alone. Neither answer is better in the abstract. A household that needs the monthly number to come down is buying exactly that, and paying for it in interest over the remaining term.
Where it sits against the alternatives. A refinance replaces the loan, so it can change the rate and the term, and it costs a new underwrite, a new appraisal and a new set of closing costs. A recast changes only the payment and cannot touch the rate. That makes the choice mechanical rather than a matter of judgment in one common case: a borrower whose existing rate is at or below what a new loan would carry has nothing to gain from refinancing and can reach a lower payment only by recasting or by paying the loan down. A modification is a third thing again, an agreed change to the existing loan's terms, and is normally a response to hardship rather than a shopping decision.
Eligibility and mechanics are set by the loan's owner and the servicer, not by a public rule. Fannie Mae's Servicing Guide C-1.2-01 requires a servicer to immediately accept and apply an additional principal payment, referred to as a principal curtailment, identified by the borrower as such for a current mortgage loan; on a delinquent loan such payments must first go toward curing the delinquency. Where a borrower asks for the payment to be reduced after a substantial curtailment, the servicer completes Form 181, reports the payment change, and the guide is explicit that a re-amortization is not treated as a modification for the purpose of a later modification's eligibility. What the guide does not do is set a minimum curtailment or a fee. Those, and whether a particular loan is eligible at all, come from the servicer's policy and from whoever owns the loan, which is why the figures circulating online for a minimum lump sum should be treated as one servicer's practice rather than a rule.
Two timing points worth knowing before sending the money. First, identify the payment as a principal curtailment in writing. Money sent without instruction can be applied as a regular payment or held, and a payment smaller than a full scheduled payment is legally a partial payment that a servicer may hold in a suspense account. Second, ask whether the recast is processed automatically after a qualifying curtailment or only on request, because the common answer is on request, and a borrower who assumes otherwise pays the old payment for months on a smaller balance.