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Yang · 2020年05月31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.

The current annual compounded risk-free rate is 0.30%.


这里不应该用 e^rf 折现吗?

3 个答案
已采纳答案

Ailiya · 2020年07月21日

我刚本来也有点迷糊了,后来想了一下,这里其实说的是复利,区别于单利,你说的适用于连续复利。。。

Ailiya · 2020年07月21日

我刚本来也有点迷糊了,后来想了一下,这里其实说的是复利,区别于单利,你说的适用于连续复利。。。

WallE_品职答疑助手 · 2020年05月31日

同学你好,你说的这里是指哪个地方?

按老李上课讲的去理解并计算最好,特别是强化课总结的方法。

老李讲的思路和题目给的解答应该不一样,你能按老师的讲解并计算出来就好