天王老子 · 2019年11月04日
问题如下：
The table provides relevant information about four bonds in a portfolio, based on the table, the price change for the 8% bond using effective duration if its YTM decreases by 10 basis points is close to?
选项：
A.$211,601.25.
B.$223,532.12.
C.$219,156.99.
D.$209,111.50.
解释：
A is correct
考点：Bond Duration-DV01
解析：
对于8% bond:
market 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
算出来 怎么是20839875
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
