exercise:B7047a8885: Difference between revisions
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(Created page with "For whole life annuities-due of 15 per month on each of 200 lives age 62 with independent future lifetimes, you are given: (i) <math>\quad i=0.06</math> (ii) <math>\quad A_{62}^{(12)}=0.4075</math> and <math>{ }^{2} A_{62}^{(12)}=0.2105</math> (iii) <math>\quad \pi</math> is the single premium to be paid by each of the 200 lives (iv) <math>S</math> is the present value random variable at time 0 of total payments made to the 200 lives Using the normal approximation,...") |
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<ul class="mw-excansopts"><li> 1850<li> 1860</li><li> 1870</li><li> 1880</li><li> 1890</ul> | <ul class="mw-excansopts"><li> 1850<li> 1860</li><li> 1870</li><li> 1880</li><li> 1890</ul> | ||
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Latest revision as of 20:10, 19 January 2024
For whole life annuities-due of 15 per month on each of 200 lives age 62 with independent future lifetimes, you are given:
(i) [math]\quad i=0.06[/math]
(ii) [math]\quad A_{62}^{(12)}=0.4075[/math] and [math]{ }^{2} A_{62}^{(12)}=0.2105[/math]
(iii) [math]\quad \pi[/math] is the single premium to be paid by each of the 200 lives
(iv) [math]S[/math] is the present value random variable at time 0 of total payments made to the 200 lives
Using the normal approximation, calculate [math]\pi[/math] such that [math]\operatorname{Pr}(200 \pi \gt S)=0.90[/math].
- 1850
- 1860
- 1870
- 1880
- 1890
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.