关于fixed leg部分的折现

NO.PZ2019010402000011 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:Assume the equity inx is currently trang 101, the value of the swis: A.320,450 B.246,337 C.-246,337 C is correct.考点equity swap求value.解析首先画图一年期的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equity leg来说，我们可以根据价格水平直接计算现在的value。valueequity=(101/100)×100,000,000=101,000,000{\text{value}}_{equity}=(101/100)\times100,000,000=101,000,000valueequity​=(101/100)×100,000,000=101,000,000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=100,753,663Value of swap=-101,000,000+100,753,663=-246,337 这里更准确的理解是否应该乘以B0.5、B0.75、B1折现到0时刻，然后整体再除以B0.25得到t=0.25时刻的收入现值？

NO.PZ2019010402000011 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:Assume the equity inx is currently trang 101, the value of the swis: A.320,450 B.246,337 C.-246,337 C is correct.考点equity swap求value.解析首先画图一年期的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equity leg来说，我们可以根据价格水平直接计算现在的value。valueequity=(101/100)×100,000,000=101,000,000{\text{value}}_{equity}=(101/100)\times100,000,000=101,000,000valueequity​=(101/100)×100,000,000=101,000,000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=100,753,663Value of swap=-101,000,000+100,753,663=-246,337 如题

NO.PZ2019010402000011 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:Assume the equity inx is currently trang 101, the value of the swis: A.320,450 B.246,337 C.-246,337 C is correct.考点equity swap求value.解析首先画图一年期的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equity leg来说，我们可以根据价格水平直接计算现在的value。valueequity=(101/100)×100,000,000=101,000,000{\text{value}}_{equity}=(101/100)\times100,000,000=101,000,000valueequity​=(101/100)×100,000,000=101,000,000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=100,753,663Value of swap=-101,000,000+100,753,663=-246,337 90时间点是在节点，可以求两个1）节点处CFs的（互换收益率）2）节点处的value（互换整体，bon分是折现（未来的现金流+NP））是这么理解吗？

NO.PZ2019010402000011 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:Assume the equity inx is currently trang 101, the value of the swis: A.320,450 B.246,337 C.-246,337 C is correct.考点equity swap求value.解析首先画图一年期的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equity leg来说，我们可以根据价格水平直接计算现在的value。valueequity=(101/100)×100,000,000=101,000,000{\text{value}}_{equity}=(101/100)\times100,000,000=101,000,000valueequity​=(101/100)×100,000,000=101,000,000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=100,753,663Value of swap=-101,000,000+100,753,663=-246,337 为什么需要用0.25、0.5和0.75这三笔，而不是使用0.5、0.75和1这三笔？

NO.PZ2019010402000011 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:Assume the equity inx is currently trang 101, the value of the swis: A.320,450 B.246,337 C.-246,337 C is correct.考点equity swap求value.解析首先画图一年期的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equity leg来说，我们可以根据价格水平直接计算现在的value。valueequity=(101/100)×100,000,000=101,000,000{\text{value}}_{equity}=(101/100)\times100,000,000=101,000,000valueequity​=(101/100)×100,000,000=101,000,000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=100,753,663Value of swap=-101,000,000+100,753,663=-246,337 最后的Valuefixeeg的90/360 这个90是指0-90天的90天还是90-180天的90天？这个公式最后+的那一部分是什么意思？​