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艾米娜姆💫 · 2025年03月13日

equity的价值

NO.PZ2023020101000019

问题如下:

Michael Mensah is based in Australia and entered into a one-year equity swap 30 days ago. Under the terms of the swap, he would receive the return on the S&P/ASX 300 Metals and Mining Index and pay a fixed annual interest rate of 4.8% on a notional amount of AUD75,000,000. The swap payments are quarterly. At the time the swap was initiated 30 days ago, the value of the S&P/ASX 300 index was 3,250. Today, the value of the S&P/ASX 300 index is 3,738. Exhibit 2 provides present value factors based on the current Australian terms structure of interest rates.

Exhibit 2: Present Value Factors Based on Current Australian Term Structure.

Based on the information in Exhibit 2, the market value of Mensah’s equity swap is closest to

选项:

A.

AUD 7,665,000.

B.

AUD 7,713,870.

C.

AUD 9,990,408.

解释:

Because this is a pay fixed rate receive equity swap the MV of the swap = PV equity receipts – MV of fixed rate bond.

Vt = (St/St-)NAE – FBt(C0)

The market value of the equity swap is calculated as follows:

3738325075,000,000900,000(0.9976+0.9924+0.9861+0.9696)75,000,000×0.9696=9,990,408.\frac{3738}{3250}\ast75,000,000-900,000\ast(0.9976+0.9924+0.9861+0.9696)-75,000,000\times0.9696=9,990,408.

请问equity在30时刻的价值为什么是p30/p0*notional principle


1 个答案

李坏_品职助教 · 2025年03月13日

嗨,从没放弃的小努力你好:


p30/p0,相当于0时刻的1块钱到了30时刻的价值。


假设30天时刻的股价没有变化,那么p30/p0 = 1,也就是期初的1块钱到了30天还是1块钱。但现在价格变成了p30,所以期初的1块钱到30天的时候变成了p30 / p0。


但实际上我不是只做1块钱的面值,我做了75,000,000这么多,所以是75,000,000 * p30/p0

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