Consider a fully discrete 20-year term insurance of 1,000 on a life aged 45. Mortality follows the Standard Ultimate Life Table with an interest rate of 5% per year. Commission expenses are 60% of the first year's gross premium and 2% of renewal gross premiums. Administrative expenses are 500 in the first year and 50 in each renewal year. All expenses are incurred at the start of the year. The gross premium is calculated using the Equivalence Principle. (c) Determine, to the nearest integer, the gross premium reserve at the end of year 10 for this insurance. Explain your answer. (i) Using recursive formula, calculate, to the nearest integer, the gross premium reserve at the end of year 19 for this insurance. (ii)
Consider a fully discrete 20-year term insurance of 1,000 on a life aged 45. Mortality follows the Standard Ultimate Life Table with an interest rate of 5% per year. Commission expenses are 60% of the first year's gross premium and 2% of renewal gross premiums. Administrative expenses are 500 in the first year and 50 in each renewal year. All expenses are incurred at the start of the year. The gross premium is calculated using the Equivalence Principle. (c) Determine, to the nearest integer, the gross premium reserve at the end of year 10 for this insurance. Explain your answer. (i) Using recursive formula, calculate, to the nearest integer, the gross premium reserve at the end of year 19 for this insurance. (ii)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:Consider a fully discrete 20-year term insurance of 1,000 on a life aged 45. Mortality
follows the Standard Ultimate Life Table with an interest rate of 5% per year.
Commission expenses are 60% of the first year's gross premium and 2% of renewal
gross premiums. Administrative expenses are 500 in the first year and 50 in each
renewal year. All expenses are incurred at the start of the year. The gross premium is
calculated using the Equivalence Principle.
(c)
Determine, to the nearest integer, the gross premium reserve at the end of year
10 for this insurance. Explain your answer.
(i)
(ii)
Using recursive formula, calculate, to the nearest integer, the gross premium
reserve at the end of year 19 for this insurance.
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