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Sirsirius · 2021年02月21日

时间点为什么是前三个呢。。

NO.PZ2019010402000012

问题如下:

A manger entered into a receive-fixed and pay-equity swap three months ago. The annualized fixed rate is 3% and equity index was at 100 when swap was entered. The maturity of swap is one year with quarterly reset, and notional amount is $100 million. The current spot rates are as follows:

The value of this equity swap would be zero if the equity index level is:

选项:

A.

100.753630

B.

100

C.

99.753630

解释:

A is correct.

考点:equity swap求value

解析:

已知value=0,反求此时equity index的价格。

首先画图:

一年期的swap,3个月之前进入的,所以时间轴如下,还剩3笔现金流。

对于fixed leg来说,我们只用将三笔现金流折现即可。

Valuefixedleg=3%×(90360)×100000000×(0.997506+0.992556+0.985222)+100,000,000×0.985222=100,753,663Value_{fixedleg=}3\%\times(\frac{90}{360})\times100000000\times(0.997506+0.992556+0.985222) +100,000,000\times0.985222\\=100,753,663

将现在index的价格设为X,那么equity leg的价值=X/100*100,000,000

头寸是付equity return收固定,所以value of swap=- X/100*100,000,000+100,753,630=0

可计算出X=100.753630

折现的时间点为什么用的是0.25,0.5和0.75的折现因子呢?难道不该是0.5,0.75和1吗?那是未来现金流的折现啊?

2 个答案

WallE_品职答疑助手 · 2021年02月27日

同学您好,


咱们要仔细读题目哟。A manger entered into a receive-fixed and pay-equity swap three months ago. 也就是说现在就是0.25这个时间点。The current spot rates are as follows: 代表着下面表给出来的是0.25这个时间点往后看的PV factor


WallE_品职答疑助手 · 2021年02月23日

同学您好,


这是从0.5, 0.75,1时刻折现到0.25时刻, 所以这三个时间点距离0.25的距离是 0.25,0.5,和0.75

Sirsirius · 2021年02月23日

那个折现因子不是从0时刻开始0.25.。。。到1的折现因子么?这题不是从0.25往后看的么。就是说从0.25时刻开始到0.5的折现因子,和0时刻开始到0.25的折现因子一样的?

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2024-07-17 10:21 3 · 回答

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