Mortality follows De Moivre's Law with w = 120. A 10 year temporary annuity due is issued to (90) which pays 5000 annually. The actuarial present value for this life annuity is calculated based on an annual effective interest rate of 6%. Alternatively, (90) can elect a whole life annuity due which pays 5000 annually. The actuarial present value for this life annuity equals that of the first option provided the annual effective interest rate is i. Find i.

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Mortality follows De Moivre's Law with w = 120. A 10
year temporary annuity due is issued to (90) which pays 5000 annually. The
actuarial present value for this life annuity is calculated based on an annual
effective interest rate of 6%. Alternatively, (90) can elect a whole life annuity
due which pays 5000 annually. The actuarial present value for this life annuity
equals that of the first option provided the annual effective interest rate is i.
Find i.
Transcribed Image Text:Mortality follows De Moivre's Law with w = 120. A 10 year temporary annuity due is issued to (90) which pays 5000 annually. The actuarial present value for this life annuity is calculated based on an annual effective interest rate of 6%. Alternatively, (90) can elect a whole life annuity due which pays 5000 annually. The actuarial present value for this life annuity equals that of the first option provided the annual effective interest rate is i. Find i.
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