方法

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。

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

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

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！

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