Information and IdeasVery hardReading a table of loan default rates
Information and Ideas practice question
Small-business loans issued by a bank, by loan size, 2020 cohort
Loan size | Loans issued | Defaulted within 3 years
Under $25,000 | 4,000 | 320
$25,000 to $100,000 | 2,500 | 150
Over $100,000 | 500 | 20
An analyst argues that the bank's smallest loans are its riskiest, even though they account for the most defaults in absolute terms only because there are so many of them; she supports the point about risk by noting that ____
Which choice most effectively uses data from the table to complete the statement?
- A. 8% of loans under $25,000 defaulted, compared with 6% of mid-sized loans and 4% of loans over $100,000.Correct
- B. 320 loans under $25,000 defaulted, more than in any other size group.
- C. the bank issued 4,000 loans under $25,000.
- D. only 20 loans over $100,000 defaulted.
Answer: A. 8% of loans under $25,000 defaulted, compared with 6% of mid-sized loans and 4% of loans over $100,000.
Risk is a rate; the rates fall with size.
Why the other answers are wrong
- B. 320 loans under $25,000 defaulted, more than in any other size group.
- The absolute count the analyst set aside.
- C. the bank issued 4,000 loans under $25,000.
- Volume, not risk.
- D. only 20 loans over $100,000 defaulted.
- A count, not a rate.
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