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Spencer · 2020年07月23日

问一道题:NO.PZ201812310200000109

* 问题详情,请 查看题干

问题如下:

 Ibarra is interested in analyzing how a simultaneous decrease in the recovery rate and the probability of default would affect the fair value of bond B2. She decreases 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.

€1,096.59.

B.

€1,108.40.

C.

€1,111.91.

解释:

B is correct.

The recovery rate to be used now in the computation of fair value is 30% × 0.75 = 22.500%, whereas the hazard rate to be used is 1.50% × 0.75 = 1.125%.

The tree that shows the valuation assuming no default of bond B2 in the solution to Question 8 will not be affected by the foregoing changes. Accordingly, VND remains €1,144.63.

Following the steps outlined in the solution to Question 8, the following table is prepared, which shows that the CVA for the bond decreases to €36.23. Thus, Ibarra concludes that a decrease in the probability of default has a greater effect on fair value than a similar decrease in the recovery rate. The steps taken to complete the table are the same as those in Question 8. There are no changes in exposures or discount factors in this table.

Fair value of the bond considering CVA = €1,144.63 – CVA = €1,144.63 – €36.23 = €1,108.40

老师请问,这题怎么又是用第八小问的VND €1,144.63, 而且计算Discount Factor时候用的表二的值和该大题的第三小问的Discount Factor又不一样了。如何区分什么时候用什么VND和Discount Factor呢?头秃~

1 个答案
已采纳答案

吴昊_品职助教 · 2020年07月24日

同学你好:

连续三道题的问题都比较相似,问题在于你忽略掉了题干中非常关键的两段假设信息。做这类题目,哪怕是同一个债券,只要是假设不同,那么VND自然不同。

第三小题用的条件是assume no interest volatility,government bond yield curve稳定在3%,所以我们用统一的折现率rf

这一小题明确说利率波动率为20%,向上倾斜的收益率曲线,所以得用表二中的spot rate或者二叉树来计算VND。

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NO.PZ201812310200000110问题如下  Ibarra is interestein analyzing how a simultaneous crease in the recovery rate anthe probability of fault woulaffethe fair value of bonB2. She creases both the recovery rate anthe probability of fault 25% of their existing estimates anrecomputes the bons fair value. The recomputefair value is closest to: €1,096.59. €1,108.40. €1,111.91. B is correct. The recovery rate to usenow in the computation of fair value is 30% × 0.75 = 22.500%, wherethe hazarrate to useis 1.50% × 0.75 = 1.125%. The tree that shows the valuation assuming no fault of bonin the solution to Question 8 will not affectethe foregoing changes. Accorngly, VNremains €1,144.63. Following the steps outlinein the solution to Question 8, the following table is prepare whishows ththe CVA for the boncreases to €36.23. Thus, Ibarra conclus tha crease in the probability of fault ha greater effeon fair value tha similcrease in the recovery rate. The steps taken to complete the table are the same those in Question 8. There are no changes in exposures or scount factors in this table. Fair value of the bonconsiring CVA = €1,144.63 – CVA = €1,144.63 – €36.23 = €1,108.40 这道题哪里说用二叉树了?为什么不用上面说的利率fl3%?

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