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Kokonoi Hajime · 2024年07月28日

sum of present value factor到底代表什么

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.

为什么重新定价固定利率的差要乘以sum of present value factor

1 个答案

pzqa35 · 2024年07月28日

嗨,努力学习的PZer你好:


因为我们在定价的时候,分母是所有折现因子的综合。

然后在计算出新的swap rate之后,我们两个swap固定部分的利差不是只发生一次,而是在后来每一个互换的点上都会发生这个利差,所以把利差提取公因式提出来,剩余的就是present factor相加了。

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