Question: Use the Merton (1974) model to solve the approximate probability of default for a corporate debt issuer that has: current assets value = $24M, outstanding
Use the Merton (1974) model to solve the approximate probability of default for a corporate debt issuer that has: current assets value = $24M, outstanding debt at maturity = $20M, there are 3 more months until debt maturity, risk free interest rate = 3.5%, assets volatility (standard deviation) = 45% per annum.
A. 43%
B. 33%
C. 63%
D. 23%
E. 53%
You assume the following information regarding the risk free interest rates and a debt-issuing (with a face value of $1,000) corporate respective interest rates:
| Years | Risk Free Interest Rate | Corporate Interest Rate |
| 1 | 4% | 4.5% |
| 2 | 4% | 5.0% |
| 3 | 4% | 5.5% |
| 4 | 4% | 6.0% |
| 5 | 4% | 6.5% |
What are the approximate cumulative expected default losses (in %) after 5 years?
A. 11.75%
B. 15.75%
C. 17.75%
D. 9.75%
E. 13.75%
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
