开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

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?

  • 2

    回答
  • 0

    关注
  • 567

    浏览
相关问题

NO.PZ2019010402000012 问题如下 A manger entereinto a receive-fixeanpay-equity swthree months ago. The annualizefixerate is 3% anequity inx w100 when swwentere The maturity of swis one yewith quarterly reset, annotionamount is $100 million. The current spot rates are follows: The value of this equity swwoulzero if the equity inx level is: 100.753630 100 99.753630 A is correct.考点equity swap求value解析已知value=0,反求此时equity inx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fixeleg来说,我们只用将三笔现金流折现即可。Valuefixeeg=3%×(90360)×100000000×(0.997506+0.992556+0.985222)+100,000,000×0.985222=100,753,663Value_{fixeeg=}3\%\times(\frac{90}{360})\times100000000\times(0.997506+0.992556+0.985222) +100,000,000\times0.985222\\=100,753,663Valuefixeeg=​3%×(36090​)×100000000×(0.997506+0.992556+0.985222)+100,000,000×0.985222=100,753,663将现在inx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 1、老师,题目中给了fixecoupon=3%,所以计算直接用这个数就可以吗?意思是不论在哪个时点,fixe方需要支付的都是3%?我按题目给的已知条件,算出fixerate=2.47%,这个又是啥呀?2、有时候做题有点迷惑,不知道应该用已知条件还是应该用自己算的值,老师能不能帮解答下,谢谢。

2024-07-17 10:21 3 · 回答

NO.PZ2019010402000012 问题如下 A manger entereinto a receive-fixeanpay-equity swthree months ago. The annualizefixerate is 3% anequity inx w100 when swwentere The maturity of swis one yewith quarterly reset, annotionamount is $100 million. The current spot rates are follows: The value of this equity swwoulzero if the equity inx level is: 100.753630 100 99.753630 A is correct.考点equity swap求value解析已知value=0,反求此时equity inx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fixeleg来说,我们只用将三笔现金流折现即可。Valuefixeeg=3%×(90360)×100000000×(0.997506+0.992556+0.985222)+100,000,000×0.985222=100,753,663Value_{fixeeg=}3\%\times(\frac{90}{360})\times100000000\times(0.997506+0.992556+0.985222) +100,000,000\times0.985222\\=100,753,663Valuefixeeg=​3%×(36090​)×100000000×(0.997506+0.992556+0.985222)+100,000,000×0.985222=100,753,663将现在inx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 1、为什么折现最后一笔100万的现金流不是用表格上最后一个scount factor?2、floleg的计算是书上哪里,没看懂计算

2024-05-03 09:03 1 · 回答

NO.PZ2019010402000012问题如下 A manger entereinto a receive-fixeanpay-equity swthree months ago. The annualizefixerate is 3% anequity inx w100 when swwentere The maturity of swis one yewith quarterly reset, annotionamount is $100 million. The current spot rates are follows: The value of this equity swwoulzero if the equity inx level is: 100.753630 100 99.753630 A is correct.考点equity swap求value解析已知value=0,反求此时equity inx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fixeleg来说,我们只用将三笔现金流折现即可。Valuefixeeg=3%×(90360)×100000000×(0.997506+0.992556+0.985222)+100,000,000×0.985222=100,753,663Value_{fixeeg=}3\%\times(\frac{90}{360})\times100000000\times(0.997506+0.992556+0.985222) +100,000,000\times0.985222\\=100,753,663Valuefixeeg=​3%×(36090​)×100000000×(0.997506+0.992556+0.985222)+100,000,000×0.985222=100,753,663将现在inx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在reset te,需要做netting。既然需要算Pt,那说明coupon还没有支付。这个逻辑的漏洞在哪里

2024-03-14 20:09 1 · 回答

NO.PZ2019010402000012 问题如下 A manger entereinto a receive-fixeanpay-equity swthree months ago. The annualizefixerate is 3% anequity inx w100 when swwentere The maturity of swis one yewith quarterly reset, annotionamount is $100 million. The current spot rates are follows: The value of this equity swwoulzero if the equity inx level is: 100.753630 100 99.753630 A is correct.考点equity swap求value解析已知value=0,反求此时equity inx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fixeleg来说,我们只用将三笔现金流折现即可。Valuefixeeg=3%×(90360)×100000000×(0.997506+0.992556+0.985222)+100,000,000×0.985222=100,753,663Value_{fixeeg=}3\%\times(\frac{90}{360})\times100000000\times(0.997506+0.992556+0.985222) +100,000,000\times0.985222\\=100,753,663Valuefixeeg=​3%×(36090​)×100000000×(0.997506+0.992556+0.985222)+100,000,000×0.985222=100,753,663将现在inx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 如题,谢谢!

2023-10-16 15:55 1 · 回答

NO.PZ2019010402000012 问题如下 A manger entereinto a receive-fixeanpay-equity swthree months ago. The annualizefixerate is 3% anequity inx w100 when swwentere The maturity of swis one yewith quarterly reset, annotionamount is $100 million. The current spot rates are follows: The value of this equity swwoulzero if the equity inx level is: 100.753630 100 99.753630 A is correct.考点equity swap求value解析已知value=0,反求此时equity inx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fixeleg来说,我们只用将三笔现金流折现即可。Valuefixeeg=3%×(90360)×100000000×(0.997506+0.992556+0.985222)+100,000,000×0.985222=100,753,663Value_{fixeeg=}3\%\times(\frac{90}{360})\times100000000\times(0.997506+0.992556+0.985222) +100,000,000\times0.985222\\=100,753,663Valuefixeeg=​3%×(36090​)×100000000×(0.997506+0.992556+0.985222)+100,000,000×0.985222=100,753,663将现在inx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 老师,1.这道题我理解的是三个月前进入的,所以现在是t=0.25 对么?2.折现因子为什么是不用最后一个,而不是第一个?因为t=0.25,现金流是不用求的

2023-08-24 11:22 1 · 回答