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Spencer · 2020年07月22日

问一道题:NO.PZ201812310200000102

* 问题详情,请 查看题干

问题如下:

Koning realizes that an increase in the recovery rate would lead to an increase in the bond’s fair value, whereas an increase in the probability of default would lead to a decrease in the bond’s fair value. He is not sure which effect would be greater, however. So, he increases both the recovery rate and the probability of default by 25% of their existing estimates and recomputes the bond’s fair value. The recomputed fair value is closest to:

选项:

A.

€843.14.

B.

€848.00.

C.

€855.91.

解释:

B is correct.

The recovery rate to be used now in the computation of fair value is 30% × 1.25 = 37.5%, whereas the hazard rate to be used is 1.50% × 1.25 = 1.875%.

Using the steps outlined in the solution to Question 1, the following table is prepared, which shows that the bond’s CVA increases to 40.49. Thus, Koning concludes that a change in the probability of default has a greater effect on fair value than a similar change in the recovery rate. The steps taken to complete the table are the same as those in the previous problem. There are no changes in exposures and discount factors in this table.

Changes in the hazard and recovery rates do not affect the value of the default-free bond. So, it is the same as in the previous question: €888.49.

Fair value of the bond considering CVA = €888.49 – CVA = €888.49 – €40.49 = €848.00

老师请问,怎么这小题的Discount Factor居然也跟着变化啊?不是表格里呈现的值了

1 个答案
已采纳答案

吴昊_品职助教 · 2020年07月22日

同学你好:

第二小问基本上延用了第一小问的条件,由于现在rf=3%,所以DF就是1/(1+r)^T,那么对应每一期的DF就如下图表格所示。