7.31. A whole life insurance issued to (25) pays a unit benefit at the end of the year of death. Premiums are payable annually to age 65. The benefit premium for the first 10 years is $P_{25}$ followed by an increased level annual benefit premium for the next 30 years. Use your Illustrative Life Table and $i = 0.06$ to find the following. a. The annual benefit premium payable at ages 35 through 64. b. The tenth-year benefit reserve. c. At the end of 10 years the policyholder has the option to continue with the benefit premium $P_{25}$ until age 65 in return for reducing the death benefit to B for death after age 35. Calculate B. d. If the option in (c) is selected, calculate the twentieth-year benefit reserve.
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Let $V_x$ be the benefit reserve at age $x$. Let $A_x$ be the single premium for a whole life insurance issued at age $x$. Let $A_{x:n}$ be the single premium for an n-year term insurance issued at age $x$. Let $A_{x:\overline{n}|}$ be the single premium for an Show more…
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A life office issued 600 identical 25 year temporary assurance policies to lives aged 30 exact with a sum assured of Kshs 100000 payable at the end of year of death. Premiums are payable annually in advance for 20 years or until earlier death. The basis is • Mortality AM92 Ultimate • Interest 4% per annum (i) Calculate the following actuarial function and solve for the annual net premium for each policy correct to 5 decimal places. • ä30:20| • A1 30:25| • Annual Net Premium per policy (ii) Calculate the net premium reserve per policy at the start and at the end of the 20th year of the policy correct to two decimal places. • Reserve policy at start • Reserve policy at end (iii) Calculate the mortality profit or loss to the life office during the 20th year if 10 policyholders die during the first nineteen years of the policies and 0 policyholders die during the 20th year.
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