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Determine Revenue and Cost Components for Credit-Card Issuer

Last updated: Mar 29, 2026

Quick Overview

This question evaluates unit-economics and break-even analysis skills, focusing on revenue and cost component identification and algebraic reasoning applied to credit-card product economics for Analytics & Experimentation roles in data science.

  • medium
  • Capital One
  • Analytics & Experimentation
  • Data Scientist

Determine Revenue and Cost Components for Credit-Card Issuer

Company: Capital One

Role: Data Scientist

Category: Analytics & Experimentation

Difficulty: medium

Interview Round: Onsite

##### Scenario A credit-card company is evaluating whether to offer a new 1%-cashback card alongside its existing no-cashback card. ##### Question What are the main revenue and cost components for a credit-card issuer? Given: both cards charge the same interest rate y% on carried balances and earn x% interchange on transactions. Non-cashback users carry an average balance of $1,000. How large must the average balance on the cashback card be for the product to break even? ##### Hints List interchange, interest income, default risk, rewards cost, servicing. Set profit_no_cashback = profit_cashback and solve for required balance.

Quick Answer: This question evaluates unit-economics and break-even analysis skills, focusing on revenue and cost component identification and algebraic reasoning applied to credit-card product economics for Analytics & Experimentation roles in data science.

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Capital One logo
Capital One
Aug 4, 2025, 10:55 AM
Data Scientist
Onsite
Analytics & Experimentation
1
0

Credit-Card Issuer Unit Economics and Break-even Analysis

Scenario

A card issuer is considering launching a new 1% cashback card alongside its existing no-cashback card. Both cards:

  • Earn x% interchange on purchase transactions
  • Charge the same interest rate y% on carried balances (APR)

For the existing no-cashback card, users carry an average balance of $1,000.

Assumption (to close the math cleanly): For a typical revolver, purchase volume over the period is roughly comparable to the average carried balance for that period (i.e., spend ≈ balance), so interchange and rewards can be modeled per dollar of average balance. Time bases (e.g., annual) are consistent across rates.

Tasks

  1. List the main revenue and cost components for a credit-card issuer.
  2. Using the setup above, compute how large the average balance on the 1% cashback card must be for the product to break even with the no-cashback card.

Optional generalization: If spend-to-balance ratio r = (spend)/(average balance) is known rather than assuming r ≈ 1, express the break-even in terms of r.

Solution

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