小王爱学习 · 2022年02月25日
NO.PZ2016082402000006
问题如下：
A portfolio manager has a bond position worth USD 100 million. The position has a modified duration of eight years and a convexity of 150 years. Assume that the term structure is flat. By how much does the value of the position change if interest rates increase by 25 basis points?
选项： USD
-2,046,875
USD -2,187,500
C.USD -1,953,125
D.USD -1,906,250
解释：
ANSWER: C
The change in price is given by
请问求出来-1.953125之后，怎么得出来A选项
NO.PZ2016082402000006 问题如下 A portfolio manager ha bonposition worth US100 million. The position ha mofieration of eight years ana convexity of 150 years. Assume ththe term structure is flat. how mues the value of the position change if interest rates increase 25 basis points? US-2,046,875 US-2,187,500 US-1,953,125 US-1,906,250 ANSWER: CThe change in priis given △P=−[×P](△y)+12[C×P](△y)2=−(8×100)×\;\bigtriangleup P=-{\lbraast\times P\rbrack}{(\bigtriangleup y)}+\frac12{\lbraC\times P\rbrack}{(\bigtriangleup y)}^2=-{(8\times100)}\times△P=−[×P](△y)+21[C×P](△y)2=−(8×100)× (0.0025)+0.5(150×100)×(0.0025)2=−2.000000+0.046875=−1.953125.{(0.0025)}+0.5{(150\times100)}\times{(0.0025)}^2=-2.000000+0.046875=-1.953125.(0.0025)+0.5(150×100)×(0.0025)2=−2.000000+0.046875=−1.953125. The fomulshoulbe:△P=−[×P](△y)+1/2[C×CONVESITY ](△y)2,right?
NO.PZ2016082402000006 US-2,187,500 US-1,953,125 US-1,906,250 ANSWER: C The change in priis given △P=−[×P](△y)+12[C×P](△y)2=−(8×100)×\;\bigtriangleup P=-{\lbraast\times P\rbrack}{(\bigtriangleup y)}+\frac12{\lbraC\times P\rbrack}{(\bigtriangleup y)}^2=-{(8\times100)}\times△P=−[×P](△y)+21[C×P](△y)2=−(8×100)× (0.0025)+0.5(150×100)×(0.0025)2=−2.000000+0.046875=−1.953125.{(0.0025)}+0.5{(150\times100)}\times{(0.0025)}^2=-2.000000+0.046875=-1.953125.(0.0025)+0.5(150×100)×(0.0025)2=−2.000000+0.046875=−1.953125.用的2021年教材；没找到公式啊！公式在教材哪页？
这道题为什么要强调term structure is flat, 如果不是会有什么影响吗，这个条件的作用我没能想到
不懂，这是哪个知识点
