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%
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%
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
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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.
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