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Das House-Kapital

A Long Term Housing & Macro Model

There are, by now, several long term, time series data sets on important housing & macro variables, such as land prices, house prices, and the housing wealth-to-income ratio. However, an appropriate theory that can be employed to think about such data and associated research questions has been lacking. We present a new housing & macro model that is designed specifically to analyze the long term. As an illustrative application, we demonstrate that the calibrated model replicates, with remarkable accuracy, the historical evolution of housing wealth (relative to income) after World War II and suggests a further considerable increase in the future. The model also accounts for the close connection of house prices to land prices in the data. We also compare our framework to the canonical housing & macro model, typically employed to analyze business cycles, and highlight the main differences.

services by combining a developed real estate and residential buildings ("
structures"). Construction firms manufacture structures by employing materials
and labor. The numeraire sector produces a final good by combining physical
capital, labor, and land. Like in standard (one-sector) models, the numeraire
good can be used for (nonresidential) consumption or for physical capital
investments. It can also be transformed into materials that serve as input for
building structures.