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CC · 2024年08月06日

fix rate annually

NO.PZ2023020101000020

问题如下:

Mbali Ndlovu, a trader on Mafadi’s derivatives desk, works closely with Fourie to implement solutions for his clients. Ndlovu receives a request from Fourie to structure an OTC swap transaction for one of his clients. After reviewing the request, Ndlovu agrees to be the counterparty for a one-year swap on Tanzanite Resources (Tanzanite) stock in which the client is seeking to enter into a receive-equity returns and pay-fixed arrangement. Tanzanite does not pay a dividend. The swap is structured as a quarterly reset, 30/360 day count, with a notional value of ZAR 5,000,000. The fixed rate is 3.2% annually. Tanzanite has a return of –3.6% for the first quarter.

The cash flow to Ndlovu after the first quarter of the Tanzanite swap is closest to:

选项:

A.

ZAR219,529.

B.

–ZAR140,471.

C.

ZAR340,000.

解释:

The quarterly interest rate is calculated as [(1 + 3.2%)*(1/4)] – 1 = 0.0079, so the fixed cash flow

Ndlovu receives is ZAR5,000,000 *0.0079 = ZAR39,528.77. The return of the equity is negative,

so Ndlovu will also receive ZAR5,000,000 * 0.0360 = ZAR180,000.00 from the Tanzanite return.

Therefore, the net cash flow to Ndlovu is ZAR219,528.77 *(39,528.77 + 180,000.00).

老师,这道题给的fix rate annually 直接就是年化后的对么?我记得老师说如果fixed rate 是未年化的?

您能给我总结下,直接就是年化的fixed rate 都会如何表达么?

1 个答案

李坏_品职助教 · 2024年08月07日

嗨,从没放弃的小努力你好:


为确保万无一失:

  1. 题目给出的条件,如果没有特别指明,一律默认是年化利率。
  2. 如果最后问的是利率,那么只要带有annually单词,就是问你年化利率。如果问题中不带annually单词,那要根据题目选项进行判断。你先求出来非年化的fixed rate之后,如果三个选项的数字与计算结果相差太大,那就说明题目问的是年化利率。


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努力的时光都是限量版,加油!

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