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The house that stayed on the market

The sale that never happened belongs in the model too.

Day ninety. The listing is still live. A price cut has made the asking number look more reasonable, but the owner has yet to meet a buyer who can complete. Another home nearby has sold, which means there is now a comparable transaction to cite. The comparable does not pay this owner's mortgage.

This owner is hypothetical. The blind spot is real. A dataset built around completed deeds can tell us what sold, for how much and sometimes how quickly. It is less willing to tell us about the homes that never made it into a closing record. A listing can be withdrawn, expire, return under a new number or still be active when an analyst stops collecting data. Every one of those outcomes changes the practical meaning of a property forecast.

The owner is not deciding whether the home has a value. She is deciding whether to keep the sign in the yard. Cut again, wait, or take it down? A neighborhood average of days on market sounds like advice. It is not advice until we ask which homes entered the average, and at what point their clocks began.

The denominator matters

Say a hundred owners list homes in a neighborhood. If an analyst studies only the homes that sold, the median sale time might look brisk. Yet the owners whose homes remain listed have been removed from the denominator. For a new owner asking, “Will mine sell by winter?”, the missing listings may be the most informative part of the experience. The numbers in this example are illustrative; the logic is not.

One tool for this problem is a sale hazard. Rather than predict a single sale date, a model estimates the chance of a sale in the next interval, conditional on the house still being on the market. That chance can change over time. The first weeks bring fresh attention. A price reduction may change the buyer pool. New competing homes can arrive. A failed contract can send a listing back with its history attached.

The model also needs to deal carefully with observation that ends before the outcome does. If a house is still listed when the study closes, we know it did not sell during the observed period. We do not know whether it will sell next week. That is different from treating it as a permanent failure and different again from quietly deleting it. In survival analysis, such incomplete observation is called censoring. The word sounds technical. The honesty it demands is simple: do not claim to have seen an ending you have not seen.

There are other competing endings. A seller may choose to rent the property. A listing may be withdrawn for family reasons. Another may reappear under a new identifier after renovations. A model that confuses these outcomes can assign market conditions the blame for a choice it never observed.

The relisted home deserves special attention. Suppose a property is offered through the spring, withdrawn in summer, and returns with new photographs in autumn. If it sells soon after relaunch, a listing-level table can record a quick sale. The same home has already spent months testing the market. Linking episodes at the property level can recover that history, though matching records across agents and vendors is never perfect. Without that link, a slow attempt can reenter the evidence as a fast one.

Withdrawal is not a random censoring mechanism either. Owners with enough cash to wait, owners who cannot accept the market's offers, and owners whose circumstances have changed may leave for different reasons. Treating all departures as if they reveal nothing about demand would be another convenient way to make the simulation too sure of itself. A competing-risk model can give sale and withdrawal separate routes, but its estimates still depend on what the underlying records actually capture.

THE MISSING ROWS

Not every listing becomes a sale.

01SOLD

A price and a date are observed.

02WITHDRAWN

The owner leaves the market.

03RELISTED

The same home begins another attempt.

04STILL ACTIVE

The observation ends before the story does.

The clock changes the property

At day ninety, the owner has not merely received three more months of information. She has paid for three more months of the asset. Interest, insurance, taxes, utilities and maintenance may continue. The next purchase may now have a different price or deadline. A price that would have been excellent on day twenty may be less useful on day one hundred and twenty if the funds arrive too late.

That is why liquidity is more than a discounted valuation. NBER research on the U.S. housing cycle found that the chance of a listed home selling within a year fell significantly during the Great Recession, alongside the fall in prices. The market became harder to exit, not merely cheaper. A property owner living through that shift would have faced both dimensions at once.

The research is about a historical market, not a ready-made probability for today's individual home. To use it responsibly, a model would need local listing histories, the differences between homes, current conditions and a careful account of who left the market. It should show how much of its answer rests on observed similar listings and how much on assumption.

What the empty space says

The most useful chart for a seller with a deadline might show three things beside one another: the distribution of money if a sale closes, the chance of that closing by the date, and the portion of paths where no sale occurs by then. The third part is not a failure of the software. It is a possible future the owner needs to plan for.

There is a mirror image of this owner: the person who cannot take the sign down. Research on forced sales found lower realized prices in particular compelled-sale settings than in comparable voluntary transactions. That finding cannot be pasted onto an ordinary listing as a discount. It does show why the freedom to wait belongs in the question. One owner may leave without selling; another may have to accept a less attractive offer. A sold-only dataset smooths both constraints into a price at closing.

That plan might mean keeping a cash reserve, changing the asking price earlier, arranging bridge financing or postponing another commitment. Simulation cannot decide which action is right without knowing the owner's constraints. It can prevent a decision from being built on a dataset that contains only survivors.

Return to day ninety. The comparable sale across the street remains useful evidence. It tells us that one buyer and one seller reached agreement and completed a transaction. It does not tell this owner when a buyer will arrive, whether the next contract will stick, or what happens if the sign is still up when her deadline comes. The unsold home belongs in the story because, for now, it is the story.

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