US 8,244,619 B2Granted

Price indexing

AssigneeRadar Logic Incorporated

InventorsMarios A. Kagarlis, David W. Peterson

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Abstract

The present invention describes a computer-based method comprising representing transactions involving assets that share a common characteristic, as respective data points associated with values of the assets, the data points including transaction value information, determining parameters that fit probability density functions to at least one component of a value spectrum of the data points, the probability density function for at least one of the components comprising a power law, the parameters not including an offset parameter representing possible shifts in the value spectrum over time, and forming an index of values associated with the assets using at least one of the determined parameters.

Claims9

Dependent claims

A computer-based method comprising performing, with one or more computers, the steps of:

representing transactions involving sales of real estate assets in a geographical region, as respective sets of data points associated with values of the real estate assets, the data points including transaction value information including price per unit area and transaction date for each transaction,
determining parameters that fit probability density functions to at least one component of a value spectrum of the data points, the value spectrum being a log-log spectrum of a number of sales in the geographical region on a given transaction date versus price per unit area, the probability density function for at least one of the components comprising a triple power law including a first power law, a second power law, and a third power law, the parameters not including an offset parameter representing possible shifts in the value spectrum over time, the first power law applying between a price per unit area a and a price per unit area b, the second power law applying between the price per unit area b and a price per unit area c, the third power law applying between the price per unit area c and a price per unit area d, wherein the triple power law comprises:
f
⁡
(
x
)
=
{
h
b
⁡
(
x
-
a
b
-
a
)
β
L
;
a
≤
x
≤
b
h
c
⁡
(
x
-
a
c
-
a
)
β
M
;
b
≤
x
≤
c
h
c
⁡
(
x
-
a
c
-
a
)
β
R
⁢
c
≤
x
≤
d
wherein hb is a height of the value spectrum at b, hc is a height of the value spectrum at c, βL is an exponent of the first power law, βM is an exponent of the second power law, βR is an exponent of the third power law;
and
forming a daily index of values associated with the assets using at least one of the determined parameters, wherein for each day, the daily index provides a price per unit area for transactions involving real estate assets on said each day in the geographical region.

66 more elements

A computer-based method comprising performing, with one or more computers, the steps of

representing transactions involving sales of real estate assets in a geographical region, as respective sets of data points associated with values of the real estate assets, the data points including transaction value information including price per unit area and transaction date for each transaction,
determining parameters that fit probability density functions to at least one component of a value spectrum of the data points, the value spectrum being a log-log spectrum of a number of sales in the geographical region on a given transaction date versus price per unit area, the probability density function for at least one of the components comprising a power law, the parameters being separated into parameters that characterize a shape of the probability density function but not its position and at least one parameter that characterizes its position but not its shape, wherein the power law comprises a triple power law including first power law, a second power law, and a third power law, the first power law applying between a price per unit area a and a price per unit area b, the second power law applying between the price per unit area b and a price per unit area c, the third power law applying between the price per unit area c and a price per unit area d, wherein the at least one parameter that characterizes its position but not its shape includes b, and wherein the parameters that characterize a shape of the probability density function but not its position include p, hc, βL and βM, and wherein the triple power law comprises:
f
⁡
(
x
)
=
s
⁢
{
x
′β
L
;
x
min
′
<
x
′
≤
1
h
c
⁡
(
x
′
p
)
β
M
;
1
<
x
′
<
p
h
c
⁡
(
x
′
p
)
β
R
;
p
≤
x
′
≤
x
max
′
where x′=x/b, xmin/b, s is a constant, and xmax′=xmax/b,
where c=pb, 1<p,
where xmin is a minimum price per unit area value of the value spectrum, xmax is a maximum price per unit area value of the value spectrum, hc is a height of the value spectrum at c, βL is an exponent of the first power law, βM is an exponent of the second power law, βR is an exponent of the third power law;
and
forming a daily index of values associated with the assets using at least one of the determined parameters, wherein for each day, the daily index provides a price per unit area for transactions involving real estate assets on said each day in the geographical region.

61 more elements

Dependencies are inferred from the claim text.

Facts

Application: 12/806,393Filed 11 Aug 2010 · continuation
Priority: 5 Jan 2007
Published: US 2011/0178905 A121 Jul 2011
Granted: 14 Aug 2012
Term ends: Not estimatedThe source records don’t support an estimate.

Classification2 codes

G06Q 40/00
Finance
G06Q
Information and communication technology [ict] specially adapted for administrative, commercial, financial, managerial

Family

Application11/620,417Parent of this continuation-in-part · filed 5 Jan 2007
Application11/674,467Parent of this continuation · filed 13 Feb 2007
US 2011/0178905 A1Pre-grant publication · published 21 Jul 2011
Application11/674,467Parent of this continuation-in-part
US 2008/0167889 A1Published application
US 2008/0167941 A1Published application
US 8,244,619 B2This patent

From the US filing history. Foreign family members aren’t listed.

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