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Maximize credit card portfolio profit

Last updated: Mar 29, 2026

Quick Overview

This question evaluates competence in credit-risk quantification, portfolio profitability analysis, approval decisioning and experiment design for a Data Scientist role, requiring estimation of expected credit loss, per-account economics, cutoff-based approval rules, and validation planning within an analytics & experimentation domain.

  • medium
  • OneMain Financial
  • Analytics & Experimentation
  • Data Scientist

Maximize credit card portfolio profit

Company: OneMain Financial

Role: Data Scientist

Category: Analytics & Experimentation

Difficulty: medium

Interview Round: Technical Screen

You have 10,000 applicants per month with risk score bands: A: share=10%, PD=0.2%; B: share=20%, PD=1%; C: share=30%, PD=3%; D: share=25%, PD=6%; E: share=15%, PD=10%. Assume: LGD=90%; credit limit = $2,500; EAD at default = 80% of limit; interchange revenue = 1.8% of annual spend; expected annual spend per approved = $6,000; variable servicing cost = $24 per year; acquisition cost = $50 per approved. 1) For a 12-month horizon, compute expected profit per approved in each band and the expected credit loss (ECL). 2) Choose an approval cutoff (approve A…?, B…?, etc.) that maximizes total monthly profit for the 10,000 applicants; report portfolio ECL and approval rate. 3) If you can set limits by band (e.g., halve D and E limits), recompute and state whether the optimal cutoff changes. 4) Outline an experiment to validate your decisioning policy safely before full deployment.

Quick Answer: This question evaluates competence in credit-risk quantification, portfolio profitability analysis, approval decisioning and experiment design for a Data Scientist role, requiring estimation of expected credit loss, per-account economics, cutoff-based approval rules, and validation planning within an analytics & experimentation domain.

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OneMain Financial
Oct 13, 2025, 9:49 PM
Data Scientist
Technical Screen
Analytics & Experimentation
5
0
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Credit Card Approval and Profit Optimization (12‑month horizon)

Context

You receive 10,000 credit card applications per month. Applicants are grouped into risk bands with given portfolio share and annual probability of default (PD). You can estimate expected credit loss (ECL) using:

  • EAD (exposure at default) = 80% of credit limit
  • LGD (loss given default) = 90%

Revenues and costs per approved account (12‑month):

  • Interchange revenue = 1.8% of annual spend
  • Expected annual spend per approved = $6,000
  • Variable servicing cost = $24/year
  • Acquisition cost = $50 per approved
  • Baseline credit limit = $2,500

Risk bands (share of applicants; PD):

  • A: 10%; PD = 0.2%
  • B: 20%; PD = 1%
  • C: 30%; PD = 3%
  • D: 25%; PD = 6%
  • E: 15%; PD = 10%

Assume PDs are 12‑month, spend is not constrained by the baseline limit, and other revenues (e.g., interest) are ignored.

Tasks

  1. Compute, for each band, the expected credit loss (ECL) per approved and the expected profit per approved over 12 months.
  2. Choose an approval cutoff (approve A…?, B…?, etc.) that maximizes total monthly profit for 10,000 applicants. Report the monthly portfolio ECL and the approval rate under your cutoff.
  3. If limits can vary by band (e.g., halve D and E limits), recompute and state whether the optimal cutoff changes.
  4. Outline a safe experiment to validate the decisioning policy before full deployment.

Solution

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