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海伦岛主 · 2020年10月22日

问一道题:NO.PZ201702190300000101

* 问题详情,请 查看题干

问题如下:

1.Based on Exhibit 1 and assuming annual compounding, the arbitrage profit on the bond futures contract is closest to:

选项:

A.

0.4158

B.

0.5356

C.

0.6195

解释:

B is correct.

The no-arbitrage futures price is equal to the following:

F0(T) = FV0,T(T)[B0(T + Y) + Al0 PVCI0,T]

F0(T) = (1 + 0.003)0.25(112.00 + 0.08 - 0)

F0(T) = (1 + 0.003)0.25 (112.08) = 112.1640

The adjusted price of the futures contract is equal to the conversion factor multiplied by the quoted futures price:

F0(T)=CF(T)QF0(T)

F0(T) = (0.90)(125) = 112.50

Adding the accrued interest of 0.20 in three months (futures contract expiration) to the adjusted price of the futures contract gives a total price of 112.70.

This difference means that the futures contract is overpriced by 112.70 - 112.1640 = 0.5360. The available arbitrage profit is the present value of this difference: 0.5360/(1.003)0.25 = 0.5356.

此处的0.08应计利息不是应该包含在112的债券报价里的吗?相当于如果没有应计利息,债券报价应该是112-0.08=111.92

为何此处0.08是在112之外额外的一笔利息啊?

1 个答案

xiaowan_品职助教 · 2020年10月23日

嗨,从没放弃的小努力你好:


同学你好,

quoted bond price是不包含应计利息的,我把课件截图放在下方,另外这道题李老师在课上有讲解过,同学也可以回顾一下哈。


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