“…It is standard in the literature (e.g., Campbell et al.,
2009; Shi,
2017; Sun & Tsang,
2013) to assume that the log gross return to housing equals the sum of the real interest rate (
) and a time‐varying risk premium (
), that is,
The risk premium is further assumed to take the simple form
where
is the long‐run risk premium and the zero mean error term
captures short‐term fluctuations brought by either market fundamentals or bubbles (Shi,
2017; Shi et al.,
2020). Under these two assumptions, the fundamental component
can be written as
where
…”