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Answer: When applying logistic regression models, the coefficients are estimated by the maximum likelihood estimation (MLE) method.
The correct answer is A. When applying logistic regression models, the coefficients are estimated by the maximum likelihood estimation (MLE) method. Logistic regression is a statistical method used to predict the probability that a given observation belongs to a particular category. In the context of default prediction, logistic regression can be used to estimate the likelihood of a borrower defaulting based on various factors. The MLE method is a common technique for estimating the coefficients of logistic regression models, as it seeks to find the parameter values that maximize the likelihood of the observed data. The other options provided are incorrect for the following reasons: B is incorrect because the Merton model, which is a structural model based on the value of a firm's assets and liabilities, is primarily applicable to liquid, publicly traded companies. It requires continuous calibration, which can be costly and complex for smaller banks, and relies on market prices, volatility, and interest rates that are subject to change. C is incorrect because the coefficients of linear discriminant analysis (LDA) are not estimated by the method of least squares. Instead, LDA maximizes the separation between different groups by maximizing homogeneity within each group and minimizing the overlap between groups. D is incorrect because the KMV model, another structural model, is designed to be dynamic and can handle issuers with complex capital structures. It includes equity, short-term debt, long-term debt, and convertible debt in its analysis, contrary to the statement in the option.
Author: LeetQuiz Editorial Team
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The Chief of Quantitative Analytics at a financial institution is considering a transition from predominantly using external rating agencies' credit ratings to employing the bank’s proprietary internal rating models for default prediction. These internal models are developed through statistical and structural techniques. To secure approval from the executive team, the Chief needs to clearly explain and highlight the advantages of using these structural models for forecasting defaults.
A
When applying logistic regression models, the coefficients are estimated by the maximum likelihood estimation (MLE) method.
B
The Merton model can be effectively applied to both private and publicly listed companies.
C
The coefficients of linear discriminant analysis are estimated by the method of least squares.
D
The KMV model includes equity and optionless long-term debt only, which can simplify the analysis of issuers with complex capital structures.