Revision as of 20:34, 19 January 2024 by Admin (Created page with "'''Answer: D''' <math>\ddot{a}_{50: 10}=8.0550</math> <math display="block"> \begin{aligned} & A_{50: \overline{20}}^{1}=A_{50: 20 \mid}-{ }_{20} E_{50}=0.38844-0.34824=0.04020 \\ & \ddot{a}_{50: \overline{20}}=12.8428 \end{aligned} </math> APV of Premiums <math>=</math> APV Death Benefit + APV Commission and Taxes + APV Maintenance <math>G \ddot{a}_{50: 10 \mathrm{io}}=100,000 A_{50: 20}^{1}+0.12 G \ddot{a}_{50: 101}+0.3 G+25 \ddot{a}_{50: 20}+50</math> <math>8.0...")
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Exercise


ABy Admin
Jan 19'24

Answer

Answer: D

[math]\ddot{a}_{50: 10}=8.0550[/math]

[[math]] \begin{aligned} & A_{50: \overline{20}}^{1}=A_{50: 20 \mid}-{ }_{20} E_{50}=0.38844-0.34824=0.04020 \\ & \ddot{a}_{50: \overline{20}}=12.8428 \end{aligned} [[/math]]


APV of Premiums [math]=[/math] APV Death Benefit + APV Commission and Taxes + APV Maintenance [math]G \ddot{a}_{50: 10 \mathrm{io}}=100,000 A_{50: 20}^{1}+0.12 G \ddot{a}_{50: 101}+0.3 G+25 \ddot{a}_{50: 20}+50[/math]

[math]8.0550 G=4020+1.2666 G+371.07[/math]

[math]6.7883 G=4391.07[/math]

[[math]] \Rightarrow G=646.86 [[/math]]

Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.

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