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张文文 · 2023年08月23日

老师这里的quarterly interest rate为什么是按照复利计算呢,不应该是按照天数以单利计算吗?

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).

老师这里的quarterly interest rate为什么是按照复利计算呢,不应该是按照天数以单利计算吗?

1 个答案

Lucky_品职助教 · 2023年08月25日

嗨,努力学习的PZer你好:


在衍生品中,凡是涉及到libor 的都用单利计算,比如FRA、Swap

一般题目在给出条件的时候都会说的很清楚 是libor(单利)还是annual compounded interest rate(离散复利)还是continious compounded interest rate(连续复利),本题没有明说,但没有出现libor,也没出现continious ,所以一般默认按照普通复利计算

----------------------------------------------
努力的时光都是限量版,加油!

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