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baij0082 · 2020年06月01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.

老师您好,这道题我是用B0+AI0-PVC0 与 (QFP*CF+AIT)/(1+Rf)^T 比较计算出套利利润的

(112+0.08+0)-(125*0.9+0.02)/(1+0.3%)^0.25=0.3558

请问哪里错了?

2 个答案

baij0082 · 2020年06月08日

谢谢老师,我把知识点搞混了,现在弄明白了

WallE_品职答疑助手 · 2020年06月01日

你这公式是老李求FP的公式,假设两边相等的时候用的,不是让你做差找difference的。正确计算步骤如下。