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,...

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.

Required:

• 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?