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candally · 2021年03月31日

0.02是怎么算出来的?

* 问题详情,请 查看题干

NO.PZ201903040100000104

问题如下:

4.From the bank’s perspective, using data from Exhibits 4 and 5, the fair value of the equity swap is closest to:

选项:

A.

-$1,139,425.

B.

-$781,323.

C.

-$181,323.

解释:

B is correct. Te value of an equity swap is calculated as

Vt=FB(C0)(stst)NAEV_t=FB(C_0)-(\frac{s_t}{s_t})NA_E\\\\

The swap was initiated six months ago, so the first reset has not yet passed; thus, there are five remaining cash flows for this equity swap. The fair value of the swap is determined by comparing the present value of the implied fixed- rate bond with the return on the equity index. The fixed swap rate of 2.00%, the swap notional amount of $20,000,000, and the present value factors in Exhibit 5 result in a present value of the implied fixed-rate bond’s cash flows of $19,818,677:

The value of the equity leg of the swap is calculated as (103/100)($20,000,000)= $20,600,000.

Therefore, the fair value of the equity swap, from the perspective of the bank (receive-fixed, pay-equity party) is calculated as

Vt = $19,818,677 - $20,600,000 = -781,323

老师,请问下,这里的0.02是怎么算出来的,为什么我算出来的是0.2,2%*20*1/2=0.2,好奇怪
2 个答案
已采纳答案

WallE_品职答疑助手 · 2021年04月02日

嗨,努力学习的PZer你好:


这里就是被年化的哈,一般给的spot rate都是年化的,如果不是年化利率他会特别说明的。因为是年化利率,所以他折现的时候直接乘以了1260/360,也就是3.5年。如果按复利来理解的话就是(1+2%)^3.5

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

WallE_品职答疑助手 · 2021年03月31日

嗨,努力学习的PZer你好:


您指的是下面这个0.02么?


这个是Exhibit 5给出的哈

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!