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

question 73

Short Answer

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 logit model,
P = , where
y = a binary response variable which is 1 if the credit card is in default and 0 otherwise
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 %)
The following output is obtained. 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:

Liquidation Proceedings

The formal process of winding up a company's financial affairs, including selling off assets to pay creditors.

Dissolve

The process of legally dissolving a corporation or partnership, effectively terminating its existence.

Termination

The act of ending something, such as a contract, employment, or agreement, either through mutual consent or by one party's decision.

Appraisal Rights

Legal rights that allow shareholders to demand an independent evaluation of their shares' value, typically in the context of a corporate action like a merger.