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sarah_xu · 2020年08月30日

问一道题:NO.PZ201812310200000109

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问题如下:

 Ibarra wants to know the credit spread of bond B2 over a theoretical comparable-maturity government bond with the same coupon rate as this bond. The foregoing credit spread is closest to:

选项:

A.

108 bps.

B.

101 bps.

C.

225 bps.

解释:

A is correct. The corporate bond’s fair value is computed in the solution to Question 8 as €1,101.24 The YTM can be obtained by solving the following equation for IRR:

1101.24= 60 1+IRR + 60 (1+IRR) 2 + 60 (1+IRR) 3 + 1060 (1+IRR) 4

The solution to this equation is 3.26%.

Valuation of a four-year, 6% coupon bond under no default (VND) is computed in the solution to Question 8 as 1,144.63. So, the YTM of a theoretical comparable-maturity government bond with the same coupon rate as the corporate bond B2 can be obtained by solving the following equation for IRR:

1144.63= 60 1+IRR + 60 (1+IRR) 2 + 60 (1+IRR) 3 + 1060 (1+IRR) 4

The solution to this equation is 2.18%. So, the credit spread that the analyst wants to compute is 3.26% – 2.18% = 1.08%, or 108 bps.

B is incorrect, because that is the spread over the four-year government par bond that has a YTM of 2.25% in Exhibit 2: 3.26% – 2.25% = 1.01%, or 101 bps. Although this spread is commonly used in practice, the analyst is interested in finding the spread over a theoretical 6% coupon government bond.

C is incorrect, because that is the YTM of the coupon four-year government bond in Exhibit 2.

老师,我看你回复其他学员的时候说不能用2.25,要用1144.6255倒推出YTM,可是强化串讲第23-24页的那个例题里就是直接选了5年的coupon rate,2.75%,也并与那只5年的债券coupon相等呀

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WallE_品职答疑助手 · 2020年08月30日

同学您好,

您是不是过去老师的解答没有都翻看完呢?吴昊老师之前有表达过哈,您看一下下面的解释。

首先题目中明确说明我们是以相同期限,相同coupon rate的国债作为benchmark的。如果题目中没有说明需要相同coupon rate,那么我们可以直接用下表中四年期的国债YTM作为benchmark。这个四年期国债,价格等于面值,所以它的YTM就是coupon rate=2.25%。

但是现在题目中说benchmark不但需要相同期限,还需要相同的coupon rate(6%)。所以我们只能用先前算出来的VND(1144.63)作为value反求出YTMg,从而再算出spread。

 

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