In: Operations Management
Comcast, Inc. (the cable tv company) is trying to determine the Lifetime Value of its customers. Here are some facts related to Comcast customers: - A study of historical sales data reveals that the average customer brings in about $2500 of sales revenues each year. - A study of historical cost data reveals that the average cost to service and retain a customer is about $700 per year. - Comcast spends about $500 to acquire a new customer, on average. - Comcast retains approximately 75% of its customers from one year to the next. - Comcast's discount rate is 7%. --
a. Calculate the Lifetime Value of a Comcast customer using the infinite time horizon version of the CLV formula.
b. How does your answer to a. change if year-to-year customer retention drops to 50% (and everything else stays the same)? c. What is the maximum amount Comcast can spend to acquire a customer and still maintain a positive Customer Lifetime Value (CLV)? (use the original assumptions above and ignore the fact that Comcast currently spends $500 to acquire a customer)
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Given,
Average sales revenue =
$2,500
Average cost of service = $700
Customer discount = 7%
Retention Ratio = 75%
Customer Acquisition cost = $500
Part a:
Margin per period = (Average sales revenue - Average cost of service) - Acquisition cost
= $2,500 - $700 - $500
= $1,300
CLV = Margin per period × ( (1 + d) / (1+d-r))
= $1,300 × ( (1 + 0.07) / (1+0.07 - 0.75))
= $1,300 × ( 1.07 / 0.32)
= $4,346.875
Part b:
Retention ratio is 50%
Margin per period = (Average sales revenue - Average cost of service) - Acquisition cost
= $2,500 - $700 - $500
= $1,300
CLV = Margin per period × ( (1 + d) / (1+d-r))
= $1,300 × ( (1 + 0.07) / (1+0.07 - 0.50))
= $1,300 × ( 1.07 / 0.57)
= $2,440.35
Part c:
The maximum amount that can be spent to acquire a customer is average sales minus Average Cost,
that is $1,800($2,500 - $700).
At that point, CLV is also positive but after $1,800, CLV will be negative.
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