Willingness to Pay and the Demand for Broadband Services Paul Rappoport, Temple University and Econsult Lestor D. Taylor, University of Arizona Donald J. Kridel, University of Missouri at St. Louis Presentation to 2002 ICFC Conference June 25-28, 2002 San Francisco
Outline Statement of the Problem Theoretical Structure Data Results Conclusions
Problem(s) 1. Can willingness to pay (WTP) information be obtained from surveys and used to describe “demand” ? 2. How do estimates of elasticities for broadband services compare to published estimates? 3. Can the use of WTP be generalized and applied to other products and services?
Theory Consumer Choice Contingent Valuation Lognormal Demand Market Demand Revealed Preference
Contingent Valuation: Overview Method that requires asking people directly, in a survey, how much they would be willing to pay for a specific service. “Contingent” in the sense that people are asked their willingness to pay, contingent on specific hypothetical scenario.
CV and the Demand for Broadband Service Focus is on the price of the service – thus economic value associated with a service is generally bounded Application is directed towards the estimation of price elasticities
Lognormal Demand Curves Let Then
poi be the tolerance price of the ith household p be the actual market price qi = 1 if poi ≥ p qi = 0 otherwise
Assuming that poi is distributed as a 2 µ and σ lognormal with parameters p p
Lognormal Demand We have: P(qi = 1| p ) = P(poi ≥ p ) = 1 − Λ ( p; µ p , σ 2p ) Let Q represent the expected proportion of buyers we have: Q(p ) = 1 − Λ ( p; µ p , σ 2p ) = Λ (1/ p; − µ p , σ 2p )
Lognormal Demand Cont.
Q(p)
Demand for Product X 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0
10
20
30
40
50
60
Price (WTP)
70
80
90
100
Data 2,011 responses to an omnibus survey administered during the first quarter, 2002. Questions included for broadband service (ADSL, Cable Modem), DVD players and Digital Cameras.
WTP Range by Census Region 140
Range of WTP
120 100 80 60 40 20 0 Region 1
Region 2
Region 3
Region 4
Average WTP by Type of Access to the Internet 50 40 30 20 10 0 Any Internet
Dial-up Yes
Cable No
DSL
WTP by Census Region 300 250 200 150 100 50 0 Region 1
Region 2 DVD
Region 3
Digital Camera
Region 4
Application to Broadband Question 1 What is the least price at which the respondent would consider the item too expensive Question 2 What is the highest price at which he would dismiss it as a shoddy article of inferior quality
Computation Compute the fraction of respondents quoting a threshold price that exceeds a price p. Plot Q(p) against p Estimate lognormal parameters from the data dlog Q(p ) π = Elasticity given by d log( p )
Results Demand Demand Demand Demand
for for for for
Cable modem Service DSL Service DVD Players Digital Cameras
Preliminary Findings: Demand for Cable Modem Service
Price (WTP)
0 10
90
80
70
60
50
40
30
20
10
40 35 30 25 20 15 10 5 0 0
Proportion
Figure 1: Cable Modem Demand
Cable Modem Elasticity Price
Elasticity
$20
-0.53
$30
-0.59
$40
-0.75
$50
-0.98
$60
-2.25
$70
-3.34
Broadband Engle Curves Engle Curve for Broadband Services (ADSL and cable modem)
Probability
100.0% 80.0% 60.0% 40.0% 20.0% 0.0% 1
2
3
4
5
6
Income Groups ADSL
For households with Broadband Access
Cable Modem
7
8
9
Preliminary Findings DSL
Price (WTP)
100
70
65
60
55
50
45
40
35
30
25
20
15
10
5
35.0% 30.0% 25.0% 20.0% 15.0% 10.0% 5.0% 0.0% 0
Market Penetration
The Demand for ADSL
DVD Players Figure 4: Demand for DVD 30.0%
Proportion
25.0% 20.0% 15.0% 10.0% 5.0% 0.0% 100 150
200 250 300 350
400 450 500 550
Price (WTP)
600 600+
Digital Cameras
Price (WTP)
10 00 11 00 >1 10 0
90 0
80 0
70 0
60 0
50 0
40 0
30 0
20 0
30.0% 25.0% 20.0% 15.0% 10.0% 5.0% 0.0% 10 0
Proportion
Demand for Digital Camera
Elasticity Initial estimates are in line with previously published values Rappoport, Taylor, Kridel • CM -0.81, -1.05 • DSL -1.17 -1.55
WTP • CM -0.75 -0.98 • DSL -1.17 -1.76
Conclusions Theory of consumer choice “works” (easily implemented) Illustrates potential value using CV approach Derived elasticities in line with other published results
Issues and Further Research Further testing of wording of questions for CV required Test question design that focuses on specific attributes and a consumer’s WTP for attributes on the margin (hedonic price approach) Explore ways to incorporate demographics directly
Contact Paul Rappoport
[email protected] or
[email protected]
Lester Taylor
[email protected]
Don Kridel
[email protected]