The Long-Term Value of a Customer
Background
Objective Hierarchies
Variables and Attributes
Influence Diagram
Mathematical Representation
Testing and Validation
Implementation and Use
Background
DoItQuick is a software company that sells programs to individuals for
keeping track of home finance, home inventory, and other common tasks.
The company has done extensive research into its cost and revenues, and
it has discovered that new customers are much less profitable on an annual
basis than long-standing customers. .
Objective
What is a loyal customer worth to a company --- a 20-year period from
a typical customer who has made his or her first purchase from DoItQuick
this year?
Variables
and Attributes
Variable
|
Variable Type
|
How Measured
|
Related to
|
intercept mean |
Input Variable |
number |
profit |
slope mean |
Input Variable |
number |
profit |
intercept stdev |
Input Variable |
number |
profit |
slope stdev |
Input Variable |
number |
profit |
probability p |
Input Variable |
% |
years loyal to company |
probability q |
Input Variable |
% |
years loyal to company |
interest rate |
Input Variable |
% |
NPV |
Influence
Diagram

Mathematical
Representation
1, Use RISKIMTABLE(Simulation Indexes) to obtain the index to further
obtain the corresponding values of p and q with formula VLOOKUP(...,...,...).
2, Mean = (intercept mean) + (slope mean) * LN(number of year).
Stdev = (intercept stdev) + (slope stdev) * (number
of year).
Proftit = RISKNORMAL(Mean, Stdev) for the first
year, and for succeeding years, use the formula
Profit = IF(OR(quits = "Yes", profit
= ""), "", RISKNORMAL(Mean, Stdev)).
3, NPV = RISKOUTPUT() + NPV(interest rate, prifits).
Testing
and Validation
Implementation
and Use
The model can be manipulated in Microsoft Excel.
Please click here to view the Excel Model.
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