Revision as of 18:57, 19 November 2023 by Admin (Created page with "'''Solution: C''' The book value after the sixth coupon is <math display = "block"> 1000(r/2)a_{\overline{{{34}}}|0.036}+1000(1.036)^{-34}=9716.01r+300.45 </math> After the seventh coupon it is <math display = "block"> 1000(r/2)a_{\overline{{{33}}}|0.036}+1000(1.036)^{-33}=9565.79r+311.26 </math> Then, <math display = "block"> \begin{array}{l}{{4.36=9565.79r+311.26-(9716.01r+300.45)=10.81-150.22r}}\\ {{r=(10.81-4.36)/150.22=0.0429.}}\end{array} </math> {{soaco...")
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Exercise


ABy Admin
Nov 19'23

Answer

Solution: C

The book value after the sixth coupon is

[[math]] 1000(r/2)a_{\overline{{{34}}}|0.036}+1000(1.036)^{-34}=9716.01r+300.45 [[/math]]

After the seventh coupon it is

[[math]] 1000(r/2)a_{\overline{{{33}}}|0.036}+1000(1.036)^{-33}=9565.79r+311.26 [[/math]]

Then,

[[math]] \begin{array}{l}{{4.36=9565.79r+311.26-(9716.01r+300.45)=10.81-150.22r}}\\ {{r=(10.81-4.36)/150.22=0.0429.}}\end{array} [[/math]]

Copyright 2023 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.

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