Optimizing Customer Equity™
 

Models Linking Marketing Expenditures and Price to Acquisition

  exp = the universal constant which is approximately equal to 2.7
a = the acquisition probability
ka = the maximum acquisition probability
d = the acquisition price sensitivity parameter
Pi,a,t, = the acquisition price offered to segment i at time t
Bi,a,t = the acquisition expenditure
l = the rate at which acquisition expenditures affect the acquisition probability

Let us translate. This equation shows that there is a maximum acquisition probability determined for any given industry, ka. The coefficient d determines how great an impact the acquisition price has on the customer’s first purchase. Higher values of d imply that customers are more price sensitive. The coefficient l in front of BI,a,t determines how great an impact acquisition spending has on the acquisition probability. The large l is, the higher the acquisition probability for a fixed spending level.
 
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