Determine Revenue and Cost Components for Credit-Card Issuer

Q: Determine Revenue and Cost Components for Credit-Card Issuer

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.

Q: How do I approach Analytics & Experimentation interview questions?

Analytics & Experimentation questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master analytics & experimentation interviews.

Q: What difficulty level is this interview question?

This is a medium difficulty Analytics & Experimentation question, commonly asked during Onsite rounds at Capital One.

Q: What role is this question designed for?

This question is commonly asked for Data Scientist candidates at Capital One during technical interviews.

Question

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

List the main revenue and cost components for a credit-card issuer.
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.

Determine Revenue and Cost Components for Credit-Card Issuer

Quick Overview

Credit-Card Issuer Unit Economics and Break-even Analysis

Scenario

Tasks

Solution

Comments (0)