actuarial notation

3. A 40-year old was issued a 20-year endowment insurance with the following conditions: (i) Sum insured $250,000 to be paid at the end of the year of death or completion of the 20- year period. (i) Level premiums to be collected at the beginning of each year for 20 years or until death of the policyholder. Initial expenses: 40% of the gross premium plus $150. (iv) Renewal expenses: 5% of the gross premium plus $50. (v) (vi) Expenses associated with the benefit payment: $200. The premiums are calculated using the Standard Ultimate Survival model with interest at 5% per year effective. (d) Calculate AS, if the experienced mortality rate was 9[40] = 0.0015, the interest rates on assets was 7%, and expenses followed the premium basis except for an increase of $100 in initial expenses. (e) What is the surplus at the end of first year per policy given that the experience is as above and the policy values are as in (b). 3. A 40-year old was issued a 20-year endowment insurance with the following conditions: (i) Sum insured $250,000 to be paid at the end of the year of death or completion of the 20- year period. (i) Level premiums to be collected at the beginning of each year for 20 years or until death of the policyholder. Initial expenses: 40% of the gross premium plus $150. (iv) Renewal expenses: 5% of the gross premium plus $50. (v) (vi) Expenses associated with the benefit payment: $200. The premiums are calculated using the Standard Ultimate Survival model with interest at 5% per year effective. (d) Calculate AS, if the experienced mortality rate was 9[40] = 0.0015, the interest rates on assets was 7%, and expenses followed the premium basis except for an increase of $100 in initial expenses. (e) What is the surplus at the end of first year per policy given that the experience is as above and the policy values are as in (b)