The term
rM
is the interest cost of a mortgage and the second term is other
housing costs, including the cost of foregone interest on the downpayment
I
(1
l
)
V
. For a fixed loan to value ratio, if
M
=
lV
and:
UC
(
rl
%
t
%
c
%
d
%
i
(1
&
l
)
&
g
)
V
h
p
m
(5)
where the bracketed term is the price per unit of housing to be used in demand
estimation, mortgage demand depends on mortgage interest rates and down
payment requirements, as well as other elements of user cost, even within this
simple proportional credit demand model.
2
4.2
Macroeconomic Demand for Housing and Credit
In macroeconomic demand models, emphasis is not placed on estimating the rent
or value of housing for which households are willing to pay, but rather on estimating the
demand for stocks (or flows) of housing demanded, where stocks are often measured in
terms of numbers of dwellings. Models can be estimated of the demand for a stock of
housing, a stock of corresponding mortgages, or a flow of housing as follows:
(1)
Demand for dwellings
a. Housing stock demand
Models of housing stock demand generally posit a relationship between
the desired housing stock and a number of economic and demographic
variables; e.g.,
P
N
(
f HH
,
y
,
Z
,
h
t
t
t
t
(6)
P
o
t
where:
N *
t
= desired dwelling units at time
t
HH
= number of households at time
t
t
y
t
= income at time t
Z
t
= a vector of demographic characteristics of household heads and
household composition
(
P
/
h
P
)
O
= relative
t
price of housing (compared to other goods) at time
t
2
More realistic models of demand for mortgages can be based on the observation that mortgage lending
is often a preference of both borrowing and lending which permits other goods and services to be financed with
`excess demand' for credit. See C. Jones, The Demand for Home Mortgage Debt,
Journal of Urban Economics
,
January 1993, pp. 10 28.
I 9
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