A Bank Manager Is Interested in Assigning a Rating to the Holders

question 51

Essay

A bank manager is interested in assigning a rating to the holders of credit cards issued by her bank.The rating is based on the probability of defaulting on credit cards and is as follows. To estimate this probability,she decided to use the logistic model where
y = a binary response variable with value of 1 corresponding to a default,and 0 to a no default
x₁ = the ratio of the credit card balance to the credit card limit (in %)
x₂ = the ratio of the total debt to the annual income (in %)
Using Minitab on the sample data,she arrived at the following estimates: Note: The p-values of the corresponding tests are shown in parentheses below the estimated coefficients.
Assuming the debt ratio is 30%,what is the range of values for the balance ratio that yields the fair rating?

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Definitions:

Break-even

The point at which total costs and total revenues are equal, resulting in no net loss or gain.

Sales Dollars

The total revenue generated from the sale of goods or services, measured in dollar amount.

Common Fixed Expenses

Expenses that remain constant in total regardless of changes in the level of activity or volume of output.

Break-even

The point at which total cost and total revenue are equal, meaning there is no net loss or gain.