NO.PZ2024042601000046
问题如下:
Suppose there is a $1,000,000 portfolio with n credits that each have a default probability, π = 2% and a zero recovery rate. The default correlation is 0 and n = 1,000. There is a probability of 28 defaults at the 95th percentile based on the binomial distribution with the parameters of n = 1,000 and π = 0.02. What is the credit VaR at the 95% confidence level based on these parameters?
选项:
A.$7,000
B.$8,000
C.$9,000
D.$10,000
解释:
The 95th percentile of the credit loss distribution is $28,000 (28 × $1,000,000/1,000). The expected loss is $20,000 ($1,000,000 × 0.02). The credit VaR is then $8,000 ($28,000 - $20,000).
WCL= 28/1000 x 1,000,000 = 28,000
EL = 0.02 x (1-0%) x 1,000,000,000 = 20,000
95% credit VaR = 8000