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Feeling · 2020年11月18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.

因为题目没有写是连续复利的,所以我按ln(1+Rf)=compounded risk-free rate,把compounded risk-free rate is 0.30%转换成了Rf=0.3005%,再用这个利率进行折现。请问这样是对的吗?

1 个答案
已采纳答案

xiaowan_品职助教 · 2020年11月18日

嗨,努力学习的PZer你好:


同学你好,

题目没有说是continuously compounding,就用解析中的复利计算方法,不需要再转换了。


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努力的时光都是限量版,加油!