Here, one must examine the value distribution of recently sold houses and calculate
which households satisfy both payments and assets conditions. That is, for each
household calculate (using data from borrower and household interview surveys) :
a l V
y
&
r
min
C
(21)
k
p
F
&
(1
&
l
)
V
C
min
a
(22)
Where
V
min
is the observed minimum value dwelling recently purchased, it is
probably best to use dwellings at the fifth to twentieth percentile as better reflecting the
average incremental unit. C
p
and C are excess income for payments and excess assets
a
for down payments, respectively. If households meet payments and down payment
requirements, it is then assumed that their demand for housing will become effective
demand based on mortgage lending.
For households with
C
p
>
0 and
C
a
$
$
0, calculate
I*
(from the demand function
estimated for recent movers) and
M*
=
lV*
. Potential mortgage originations will be equal
to the number of households meeting the two conditions. The potential mortgage demand
will be
3
lV
i
* for households meeting the conditions.
A comparison of the magnitudes of housing demand and mortgage demand from
the calculations from subsections C and D above can be revealing concerning the degree
to which effective demand for credit is limited by (1) limited mobility of potential movers (in
part a function of low user costs and/or higher quality preexisting housing); (2) income and
assets constraints on borrowing; and (3) supply restrictions concerning available housing
types and values.
Note that in subsections C and D a number of what if experiments can be
conducted. In C, transition probabilities can be modified, either parametrically without
reference to empirical relationships to policy and other variables or based on empirical
relationships such as those estimated in Section 4.1 above. In D, varying assumptions can
be made concerning interest rates, lending terms, payments ratios (
I
), loan to value ratios,
and the distribution of housing values offered. In the last connection, a more realistic
assumption is made than that posed in D; i.e., that households will purchase if:
a lV
y
&
r
min
> 0
(23)
R
and
I 16
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