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Please explain all steps and show what the variables mean Calculate the gross premium An insurer issues a special 10-year deferred whole life annuity-due to

Please explain all steps and show what the variables mean

image text in transcribedCalculate the gross premium

An insurer issues a special 10-year deferred whole life annuity-due to (55). You are given: (1) The annual annuity payment is 50,000. There is an additional lump sum benefit of 200,000 payable on survival to age 80. (iii) Level annual premiums are payable during the deferred period. (iv) First year commissions are 20% of premium. Renewal commissions for the second and subsequent years are 5% of premium. (vi) Mortality follows the Standard Ultimate Life Table. (vii) Premiums are calculated using the equivalence principle. (viii) i = 0.05

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