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Hard Profitability

Credit Cards

#Financial Services

Practice this advanced profitability case interview question in the Financial Services sector. Includes detailed problem prompt, clarifying questions, structured framework, and expert recommendation. Part of ProHub's 835+ consulting case library.

ProHub Comment

This is a classic break-even analysis case requiring candidates to calculate a weighted average contribution margin across customer segments, then divide fixed marketing costs by the contribution margin. The case tests ability to identify relevant data from exhibits, structure a clear calculation framework, and contextualize the result within the bank's existing customer base.

Estimated Time 35 minutes
Difficulty Hard
Source PeterK
24 / 100
Birch Bank, a major regional U.S. bank, provides a diverse range of financial products (e.g. loans, bank accounts). The bank would like to launch a new credit card and spend $12M per year on its marketing. How many new card members should they attract to break even?

Clarifying Information

  1. Exhibit 1. Birch Bank’s Segments of Credit Card Holders and Their Economics, 2023
  2. One customer can issue only one new credit card
  3. Average variable costs per account is expected to be $160 per year (e.g. defaults, cost of funds)
  4. Marketing expenses are the major fixed costs. Other fixed costs (e.g. R&D) are negligible
  5. It’s fair to assume that the new credit card will have the same distribution of customer segments (e.g. heavy/light revolvers) as Birch Bank has right now (see Exhibit 1)
Mock Interview
Interviewer

Birch Bank, a major regional U.S. bank, provides a diverse range of financial products (e.g. loans, bank accounts). The bank would like to launch a new credit card and spend $12M per year on its marketing. How many new card members should they attract to break even?

You

Thanks. Before analyzing, I'd like to clarify a few key questions...

Interviewer

Good question. Let me provide some background information...

You

Based on this, I suggest analyzing from these dimensions...

AI Score
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Practice this case with AI Mock Interview

Birch Bank needs to determine how many new credit card customers are required to break even on a $12M marketing investment. The solution involves calculating the weighted average revenue per account across four customer segments (Heavy Revolver, Light Revolver, Transactor, New/Inactive), subtracting variable costs to get contribution margin, then dividing fixed costs by contribution margin to arrive at 120k accounts.

Key Insights:

  1. Break-even calculation: Fixed Marketing Costs / Contribution Margin = $12M / $100 = 120k accounts
  2. Weighted average revenue calculation across four segments with different account distributions (2M, 3M, 2M, 3M accounts respectively)
  3. Contribution margin is $100 per account ($260 average revenue minus $160 variable costs)
  4. Heavy Revolvers generate highest revenue ($800/account) due to interest charges on maintained balances, while Transactors generate lowest ($50/account)
  5. Advanced insight: Bank receives zero transaction fee revenue due to aggressive rewards programs offsetting transaction fees—indicating competitive market pressures in credit card business
  6. The 120k customer target represents approximately 1% of the bank’s existing 10M account customer base, making it a manageable goal

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