问题如下:
A risk analyst is trying to estimate the credit VAR for a risky bond. The credit VAR is defined as the maximum unexpected loss at a confidence level of 99.9% over a one-month horizon. Assume that the bond is valued at $1,000,000 one month forward, and the one-year cumulative default probability is 2% for this bond. What is the best estimate of the credit VAR for the bond, assuming no recovery?
选项: $20,000
$1,682
C.$998,318
D.$0
解释:
ANSWER: C
First, we have to transform the annual default probability into a monthly probability. Using , we find d=0.00168, which assumes a constant probability of default during the year. Next, we compute the expected credit loss, which is . Finally, we calculate the WCL at the 99.9% confidence level, which is the lowest number \(CL_i\)such that . We have ; . Therefore, the WCL is $1,000,000, and the CVAR is .
老师如果题目叫你求得CVAR是小于99.83%,P(loss≤0)=99.83%,那么WCL=0,了嘛,CVAR=-EL