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alivia · 2020年02月16日

问一道题:NO.PZ201812310200000103

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问题如下:

The fair value of bond B2 is closest to:

选项:

A.

€1,069.34.

B.

€1,111.51.

C.

€1,153.68.

解释:

A is correct. The following table shows that the CVA for the bond is €42.17, the sum of the present values of expected loss. The steps taken to complete the table are as follows.

Step 1: Exposure at Date 4 is €1,000 + Coupon amount = €1,000 + €60 = €1,060. Exposure at a date T prior to that is Coupon on Date T + PV at Date T of subsequent coupons + PV of €1,000 to be received at Date 4.

For example, exposure at Date 2 is

60+ 60 (1+0.03) + 60 (1+0.03) 2 + 1000 (1+0.03) 2 =60+ 60 (1+0.03) + 1060 (1+0.03) 2 =1117.40

Steps 2 through 8 are the same as those in the solution to Question 1.

Value of the bond if the bond were default free would be €60 × DF1 + €60 × DF2 + €60 × DF3 + €1,060 × DF4 = €1,111.51.

Fair value of the bond considering CVA = €1,111.51 – €42.17 = €1,069.34

CVA表格中EXPOSURE 1和2算出来分别是1030和1059?

1 个答案

吴昊_品职助教 · 2020年02月17日

Exposure4=1000+60=1060

Exposure3=1060/1.03+60=1089.13

Exposure2=1089.13/1.03+60=1117.40

Exposure1=1117.40/1.03+60=1144.86