Question
Use the Merton (1974) model to solve the approximate probability of default for a corporate debt issuer that has: current assets value = $14M, outstanding
Use the Merton (1974) model to solve the approximate probability of default for a corporate debt issuer that has: current assets value = $14M, outstanding debt at maturity = $19M, there are 6 more months until debt maturity, risk free interest rate = 5.75%, assets volatility (standard deviation) = 30% per annum.
A. 99%
B. 11%
C. 78%
D. 92%
E. 34%
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% |
You also assume that the recovery rate throughout the entire time frame of 5 years is 35%, what is the value of a corporate bond with 5 years to maturity?
A. $356.20
B. $826.20
C. $756.20
D. $566.20
E. $716.20
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