Mr. Donovan even opened the door to another housing tax credit like the one that expired last spring, which paid first-time buyers as much as $8,000 and buyers who were moving up $6,500. The cost to taxpayers was in the neighborhood of $30 billion, much of which went to people who would have bought anyway.

Administration press officers quickly backpedaled from Mr. Donovan’s comment, saying a revived credit was either highly unlikely or flat-out impossible. Mr. Donovan declined to be interviewed for this article. In a statement, a White House spokeswoman responded to questions about possible new stimulus measures by pointing to those already in the works.

“In the weeks ahead, we will focus on successfully getting off the ground programs we have recently announced,” the spokeswoman, Amy Brundage, said.

Among those initiatives are $3 billion to keep the unemployed from losing their homes and a refinancing program that will try to cut the mortgage balances of owners who owe more than their property is worth. A previous program with similar goals had limited success.

If last year’s tax credit was supposed to be a bridge over a rough patch, it ended with a glimpse of the abyss. The average home now takes more than a year to sell. Add in the homes that are foreclosed but not yet for sale and the total is greater still.

Builders are in even worse shape. Sales of new homes are lower than in the depths of the recession of the early 1980s, when mortgage rates were double what they are now, unemployment was pervasive and the gloom was at least as thick.

The deteriorating circumstances have given a new voice to the “do nothing” chorus, whose members think the era of trying to buy stability while hoping the market will catch fire  called “extend and pretend” or “delay and pray”  has run its course.