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双 · 2023年04月30日

yield 5.6%

NO.PZ2023040701000037

问题如下:

Tatton uses the benchmark yield curve provided in Exhibit 2 to consider arbitrage opportunities. The benchmark bonds in Exhibit 2 pay coupons annually, and the bonds are priced at par.

Exhibit 2. Benchmark Par Curve

Tatton then identifies a mispriced three-year annual-pay bond.

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:

Correct Answer: C

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 z1 = 3%). The spot rates for Year 2 (z2) and Year 3 (z3) are calculated as follows:


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.

这个什么东西是5.6%,背后含义是什么?

1 个答案

pzqa31 · 2023年04月30日

嗨,从没放弃的小努力你好:


这里的yield是指YTM,是spot rate的打包价,YTM在这道题里面用不到。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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