NO.PZ201602270200001902
问题如下:
2. Based on Exhibits 2 and 3 and using Method 1, the amount (in absolute terms) by which the Hutto-Barkley corporate bond is mispriced is closest to:
选项:
A.0.3368 per 100 of par value.
B.0.4682 per 100 of par value.
C.0.5156 per 100 of par value.
解释:
C is correct.
The first step in the solution is to find the correct spot rate (zero-coupon rates) for each year’s cash flow. The benchmark bonds in Exhibit 2 are conveniently priced at par so the yields to maturity and the coupon rates on the bonds are the same. Because the one-year issue has only one cash flow remaining, the YTM equals the spot rate of 3% (or = 3%). The spot rates for Year 2 ( ) and Year 3 ( ) are calculated as follows:
The correct arbitrage-free price for the Hutto-Barkley Inc. bond is:
Therefore, the bond is mispriced by 94.4828 – 94.9984 = –0.5156 per 100 of par value.
A is incorrect because the correct spot rates are not calculated and instead the Hutto-Barkley Inc. bond is discounted using the respective YTM for each maturity. Therefore, this leads to an incorrect mispricing of 94.6616 – 94.9984 = –0.3368 per 100 of par value.
B is incorrect because the spot rates are derived using the coupon rate for Year 3 (maturity) instead of using each year’s respective coupon rate to employ the bootstrap methodology. This leads to an incorrect mispricing of 94.5302 – 94.9984 = –0.4682 per 100 of par value.
老师,
1、首先说了coupon rate,然而在下面计算的时候,二年期的CF用的4,三年期用的5,这数字都是怎么来的?
2、没明白题目暗示怎么体现出来的?按照表格指向,指的是YTM的表格,难道不是用3%、4%、5%分别折算3,3,103三年现金流吗?请帮忙翻译并且查看下,谢谢