Revision as of 17:13, 20 November 2023 by Admin (Created page with "'''Solution: E''' Macaulay duration at an interest rate of <math>5 \%</math> is <math display="block"> \begin{aligned} & \frac{100(I a)_5+5000 v^5}{100 a_5+1000 v^5} \\ & =\frac{100(12.56639)+3917.63}{100(4.32947)+783.53}=4.2535 \end{aligned} </math> {{soacopyright | 2023 }}")
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Exercise


Nov 20'23

Answer

Solution: E

Macaulay duration at an interest rate of [math]5 \%[/math] is

[[math]] \begin{aligned} & \frac{100(I a)_5+5000 v^5}{100 a_5+1000 v^5} \\ & =\frac{100(12.56639)+3917.63}{100(4.32947)+783.53}=4.2535 \end{aligned} [[/math]]

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

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