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Mercury. · 2024年05月04日

我不太理解的是 为什么现在的fix rate下降 swap的价值会是正的呢

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.

RT

1 个答案
已采纳答案

李坏_品职助教 · 2024年05月04日

嗨,从没放弃的小努力你好:


这个利率互换是receive-fixed,也就是收取固定利率、支付浮动利率。注意,这个期初的固定利率3%,一经确定不再变化,也就是投资者在swap期间内收取的固定利息永远都是3%的利息。


而现在我们算出来的2.4%的“fixed rate”,是这个意思:假设现在重新签一个相同到期日的利率互换,那么fixed rate应该是2.4%.

现在市场上,这个利率互换合约理论上只能让投资者拿到2.4%的固定利息了,但是投资者依然是按照期初的3%收利息的,所以投资者是赚的。

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努力的时光都是限量版,加油!

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