What is the projected probability of default for the borrower? What is the projected probability of repayment if the debt/equity ratio is 2.5?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Suppose the estimated linear probability model  used by an FI to predict business loan applicant  default probabilities is PD = .03X1+ .02X2 - .05X3+ error, where X1 is the borrower's debt/equity ratio, X2is the volatility of borrower earnings, and X3= 0.10 is the borrower’s profit ratio. For a particular loan applicant, X1= 0.75, X2= 0.25, and X3= 0.10.

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  • What is the projected probability of default for the borrower?
  • What is the projected probability of repayment if the debt/equity ratio is 2.5?
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