问题如下图:为什么要用近似的effective duration,而不是modified duration呢
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NO.PZ2019070101000093问题如下The table provis relevant information about four bon in a portfolio, baseon the table, the prichange for the 8% bonusing effective ration if its YTM creases 10 basis points is close to?A.$211,601.25.B.$223,532.12.C.$219,156.99.$209,111.50. A is correct考点Bonration-01解析问8%的债券,如果YTM下降10bp,价格变化是多少?首先,计算coupon rate为8%的债券的市值market value=价格*权重*面值=105×0.25×1,000,000=26,250,000再计算价格变动,YTM change=-10bp=-0.001prichange($)=[(-effective ration*YTM change)+(1/2*convexity*(YTMchange2)]*market value=[(-8×-0.001) + (0.5×122×0.0012)] *26,250,000 = $211,601.25 老师好,您在别的同学问题下回答“计算coupon rate为8%的债券的市值market value=价格*权重*面值=105×0.25×1,000,000=26,250,000”请问哪里能get到面值是100万啊?
NO.PZ2019070101000093问题如下The table provis relevant information about four bon in a portfolio, baseon the table, the prichange for the 8% bonusing effective ration if its YTM creases 10 basis points is close to?A.$211,601.25.B.$223,532.12.C.$219,156.99.$209,111.50. A is correct考点Bonration-01解析问8%的债券,如果YTM下降10bp,价格变化是多少?首先,计算coupon rate为8%的债券的市值market value=价格*权重*面值=105×0.25×1,000,000=26,250,000再计算价格变动,YTM change=-10bp=-0.001prichange($)=[(-effective ration*YTM change)+(1/2*convexity*(YTMchange2)]*market value=[(-8×-0.001) + (0.5×122×0.0012)] *26,250,000 = $211,601.25 那里给了favalue
NO.PZ2019070101000093问题如下The table provis relevant information about four bon in a portfolio, baseon the table, the prichange for the 8% bonusing effective ration if its YTM creases 10 basis points is close to?A.$211,601.25.B.$223,532.12.C.$219,156.99.$209,111.50. A is correct考点Bonration-01解析问8%的债券,如果YTM下降10bp,价格变化是多少?首先,计算coupon rate为8%的债券的市值market value=价格*权重*面值=105×0.25×1,000,000=26,250,000再计算价格变动,YTM change=-10bp=-0.001prichange($)=[(-effective ration*YTM change)+(1/2*convexity*(YTMchange2)]*market value=[(-8×-0.001) + (0.5×122×0.0012)] *26,250,000 = $211,601.25 这个怎么能知道要加上二阶导的影响?我看有的题effective ration就算了ration,没加上曲度的影响。
NO.PZ2019070101000093问题如下The table provis relevant information about four bon in a portfolio, baseon the table, the prichange for the 8% bonusing effective ration if its YTM creases 10 basis points is close to?A.$211,601.25.B.$223,532.12.C.$219,156.99.$209,111.50. A is correct考点Bonration-01解析问8%的债券,如果YTM下降10bp,价格变化是多少?首先,计算coupon rate为8%的债券的市值market value=价格*权重*面值=105×0.25×1,000,000=26,250,000再计算价格变动,YTM change=-10bp=-0.001prichange($)=[(-effective ration*YTM change)+(1/2*convexity*(YTMchange2)]*market value=[(-8×-0.001) + (0.5×122×0.0012)] *26,250,000 = $211,601.25 我记得之前讲的公式是用-(mofieration) *P*价格变化+1/2C*P*(价格变化)的平方。没说过用effective ration, 麻烦请确认一下到底应该用哪个ration?感谢!
NO.PZ2019070101000093问题如下The table provis relevant information about four bon in a portfolio, baseon the table, the prichange for the 8% bonusing effective ration if its YTM creases 10 basis points is close to?A.$211,601.25.B.$223,532.12.C.$219,156.99.$209,111.50.A is correct考点Bonration-01解析对于8% bonmarket value=105×0.25×1,000,000=26,250,000[(-8×-0.001) + (0.5×122×0.001^2)] *26,250,000 = $211,601.25老师我计算过程一样,但是为啥子-8x0.001+0.5×122×0.001平方,算出来-0.007939,不是0.008061,是我计算器出现什么问题了咩