Question 2 A life assurance company issues a 20-year term, insurance policy to a life aged 40, with sum insured £100,000 payable immediately on death. Level premiums are payable monthly in advance throughout the term. The commissions are 10% of each premium payment (incurred at the premium payment times). Mortality follows AM92 ultimate life table with uniform distribution of deaths (UDD) assumption between integer years. Interest is i = 6% per annum. (a) Write down an expression for the gross loss at issue random variable. (b) Write down the equation of value for this policy. (c) Calculate the gross monthly premium.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.4: Mathematics Of Finance
Problem 2E
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Question 2
A life assurance company issues a 20-year term, insurance
policy to a life aged 40, with sum insured £100,000 payable immediately on death.
Level premiums are payable monthly in advance throughout the term. The
commissions are 10% of each premium payment (incurred at the premium payment
times). Mortality follows AM92 ultimate life table with uniform distribution of
deaths (UDD) assumption between integer years. Interest is i = 6% per annum.
(a) Write down an expression for the gross loss at issue random variable.
(b) Write down the equation of value for this policy.
(c) Calculate the gross monthly premium.
Transcribed Image Text:Question 2 A life assurance company issues a 20-year term, insurance policy to a life aged 40, with sum insured £100,000 payable immediately on death. Level premiums are payable monthly in advance throughout the term. The commissions are 10% of each premium payment (incurred at the premium payment times). Mortality follows AM92 ultimate life table with uniform distribution of deaths (UDD) assumption between integer years. Interest is i = 6% per annum. (a) Write down an expression for the gross loss at issue random variable. (b) Write down the equation of value for this policy. (c) Calculate the gross monthly premium.
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