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熊猫666 · 2024年03月15日

怎么判断SWAP rate是annual还是不是annual的呢?

NO.PZ2023020101000015

问题如下:

Mafadi Consulting Limited is a boutique financial services company located in Johannesburg, South Africa. Mafadi specializes in providing commodity and currency hedging solutions to institutional investors and corporations.

Andre Fourie is a senior client services consultant for Mafadi. He manages relationships with a number of institutions to assist with their hedging needs. One of Fourie’s client’s is Global Bullion, a mining and exploration company headquartered in the United States.

Mbali Ndlovu, a trader on Mafadi’s derivatives desk, works closely with Fourie to implement solutions for his clients. Fourie asks Ndlovu to review and calculate the value of a five-year ZAR20,000,000 swap into which Global Bullion entered two years ago. It is a receive-fixed, Libor-based interest rate swap with annual resets (30/360 day count). The fixed rate in the swap contract established two years ago was 3%. Exhibit 1 estimates the present value factors.

Exhibit 1 Present Value Factors for Five-Year Swap

The value of Global Bullion’s swap contract is closest to:

选项:

A.

ZAR1,720,380.

B.

ZAR1,324,380.

C.

ZAR344,076.

解释:

Calculate the sum of PV = 0.9802 + 0.9560 + 0.9311 = 2.8673.

Calculate the fixed swap rate = (1 – 0.9311)/2.8673 = 0.0240.

Calculate swap value per ZAR = (0.0300 – 0.0240) *2.8673 = 0.0172.

Thus, total swap value = 0.01720 * ZAR20,000,000 = ZAR344,076.

老师你好,PZ2023020101000014 题的SWAP rate是annual的,是因为题干上说了是annual的么?本题没说,就默认SWAP rate不是annual的,

熊猫666 · 2024年03月15日

老师,你好请问是SWAP rate都不是年化的,只有annual SWAP rate才是年化么?但是提到FRA rate都是年化的

1 个答案
已采纳答案

李坏_品职助教 · 2024年03月16日

嗨,努力学习的PZer你好:


题目中给了一个The fixed rate in the swap contract established two years ago was 3%,这个是2年前签订合约时的年化的swap rate是3%,


后面我们需要计算当前最新的swap rate = (1 – 0.9311)/2.8673 = 0.0240.,这个也是年化利率。因为题目里给的条件(present factor)本来就是按年的,所以不需要做调整,算出来的就是年化利率。


把两个swap rate(都是年化利率)作差,乘以ZAR20,000,000就得到了最终的swap value。

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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!

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