ntial card holders are good credit ris company uses discriminant analysis determine which ones should receiv rds credit cards to 70% of those who of those awarded credit cards, 95%

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
icon
Related questions
Question
100%
### Credit Card Risk Assessment Analysis

**Industry Statistics and Applicant Screening**

From industry statistics, a credit card company knows that:
- 0.8 (or 80%) of its potential cardholders are good credit risks.
- 0.2 (or 20%) of its potential cardholders are bad credit risks.

The company employs discriminant analysis to screen credit card applicants and determine which ones should receive credit cards. 

**Approval Rate and Results**

- The company approves credit cards for 70% of those who apply.
- Of those awarded credit cards, 95% turn out to be good credit risks.

**Question for Analysis**

What is the probability that an applicant who is a bad credit risk will be denied a credit card?

### Explanation of the Concepts

- **Good Credit Risks**: Applicants who are likely to repay their credit card balances responsibly.
- **Bad Credit Risks**: Applicants who are less likely to repay their credit card balances.
- **Discriminant Analysis**: A statistical method used to classify applicants into good or bad credit risk categories.
- **Approval Rate**: The percentage of applicants who are granted credit cards.

**Calculation Steps:**

1. Determine the fraction of approved applicants who are bad credit risks.
2. Calculate the probability of a bad credit risk being denied a credit card.

By understanding how the company uses statistics and discriminant analysis to make decisions, we can deduce the probability that an applicant being a bad credit risk impacts their chances of receiving a credit card. This insight can help inform similar financial models and risk assessments in educational resources.
Transcribed Image Text:### Credit Card Risk Assessment Analysis **Industry Statistics and Applicant Screening** From industry statistics, a credit card company knows that: - 0.8 (or 80%) of its potential cardholders are good credit risks. - 0.2 (or 20%) of its potential cardholders are bad credit risks. The company employs discriminant analysis to screen credit card applicants and determine which ones should receive credit cards. **Approval Rate and Results** - The company approves credit cards for 70% of those who apply. - Of those awarded credit cards, 95% turn out to be good credit risks. **Question for Analysis** What is the probability that an applicant who is a bad credit risk will be denied a credit card? ### Explanation of the Concepts - **Good Credit Risks**: Applicants who are likely to repay their credit card balances responsibly. - **Bad Credit Risks**: Applicants who are less likely to repay their credit card balances. - **Discriminant Analysis**: A statistical method used to classify applicants into good or bad credit risk categories. - **Approval Rate**: The percentage of applicants who are granted credit cards. **Calculation Steps:** 1. Determine the fraction of approved applicants who are bad credit risks. 2. Calculate the probability of a bad credit risk being denied a credit card. By understanding how the company uses statistics and discriminant analysis to make decisions, we can deduce the probability that an applicant being a bad credit risk impacts their chances of receiving a credit card. This insight can help inform similar financial models and risk assessments in educational resources.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Data analytics process (IMPACT cycle)
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, accounting and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
FINANCIAL ACCOUNTING
FINANCIAL ACCOUNTING
Accounting
ISBN:
9781259964947
Author:
Libby
Publisher:
MCG
Accounting
Accounting
Accounting
ISBN:
9781337272094
Author:
WARREN, Carl S., Reeve, James M., Duchac, Jonathan E.
Publisher:
Cengage Learning,
Accounting Information Systems
Accounting Information Systems
Accounting
ISBN:
9781337619202
Author:
Hall, James A.
Publisher:
Cengage Learning,
Horngren's Cost Accounting: A Managerial Emphasis…
Horngren's Cost Accounting: A Managerial Emphasis…
Accounting
ISBN:
9780134475585
Author:
Srikant M. Datar, Madhav V. Rajan
Publisher:
PEARSON
Intermediate Accounting
Intermediate Accounting
Accounting
ISBN:
9781259722660
Author:
J. David Spiceland, Mark W. Nelson, Wayne M Thomas
Publisher:
McGraw-Hill Education
Financial and Managerial Accounting
Financial and Managerial Accounting
Accounting
ISBN:
9781259726705
Author:
John J Wild, Ken W. Shaw, Barbara Chiappetta Fundamental Accounting Principles
Publisher:
McGraw-Hill Education