Finance work
mtatcelo5
questions_week_3_.docx
Question 20
suppose the estimated linear probability model used by an FI to predict business loan applicant default probabilities is PD = 0.03X1 + 0.02X2 − 0.05X3 + error, where X1 is the borrower’s debt/equity ratio, X2 is the volatility of borrower earnings, and X3 is the borrower’s profit ratio. For a particular loan applicant, X1 = 0.75, X2 = 0.25, and X3 = 0.10.
A. What is the projected probability of default for the borrower?
B. What is the projected probability of repayment if the debt/equity ratio is 2.5?
Question 32
The bond equivalent yields for U.S. Treasury and A-rated corporate bonds with maturities of 93 and 175 days are given below:
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|
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93 days |
175 Days |
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|
Treasury strip |
|
8.07% |
8.11% |
|
|
A-rated corporate |
|
8.42 |
8.66 |
|
|
Spread |
|
0.35 |
0.55 |
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|
|
|
|
|
|
a. What are the implied forward rates for both an 82-day Treasury and an 82-day A-rated bond beginning in 93 days? Use daily compounding on a 365-day year basis.
b. What is the implied probability of default on A-rated bonds over the next 93 days? Over 175 days?
c. What is the implied default probability on an 82-day, A-rated bond to be issued in 93 days?
