For a fully discrete 20-year term insurance of 100,000 on (35), you are given: i. Annual gross premiums are 200 ii. q53 = 0.006 and q54 = 0.007 iii. i = 0.05 iv. Annual expenses are 5% of premium plus 25, paid at the beginning of the year v. Settlement expenses are 100 Calculate the gross premium reserve at the end of year 18. Calculate the gross premium reserve at the end of уear 18. Answer: 882.5422
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- A life insurance company issues a 10-year term insurance policyto a life aged 50, with sum insured $100 000. Level premiums are payablemonthly in advance throughout the term. You are given the following premium assumptions. (i) Commission is 20% of each premium payment in the first year (incurredat the premium payment times) and 5% of all premiums after the firstyear. (ii) Additional initial expenses are $100. (iii) Claim expenses are $250. (iv) The sum insured and claim expenses are payable one month after the dateof death. (v) Mortality follows the Standard Select Life Table, with UDD betweeninteger ages.(vi) i = 5%. Calculate the gross monthly premium.A fully discrete life insurance policy is issued to (30). The death benefit is 1000 plus the benefit reserve at the end of the year of death. The net level premium is 150, and the reserve at the end of the second policy year is 117.875. Given that q30 = q31 = .1, determine the effective interest rate i.An insurer is designing a 10-year single premium variable annuity policy with a guaranteed maturity benefit of 85% of the single premium. (a) Calculate the value of the GMMB at the issue date for a single premium of $100. (b) Calculate the value of the GMMB two years after issue, assuming that the policy is still in force, and that the underlying stock prices have decreased by 5% since inception. Basis and policy information: Age at issue: 60 Front end expense loading: 2% Annual management charge: 2% at each year end (including the first) Survival model: Standard Ultimate Survival Model Lapses: 5% at each year end except the final year Risk-free rate: 4% per year, continuously compounded Volatility: 20% per year
- Using Table 19-1 and Table 19-2 find the following premiums for a 10-year term life insurance policy with a face value of $30,000 for a 28-year-old male. A. Annual premium B. Semiannual premium C. Quarterly premium D. Monthly premium Life Insurance—Premium FactorsPremium Paid Percent of Annual PremiumSemiannually 52%Quarterly 26%Monthly 9%For a fully discrete whole life insurance of 100,000 on (45): (i) whole life annuity on 45, a45 = 14.85 (ii)i= 0.06 Calculate the annual net premium.A 6-year term insurance policy has an annual premium of $500, and at the end of 6 years, all payments and interest are refunded. What lump-sum deposit is necessary to equal this amount if you assume an interest rate of 2.5% compounded annually? (a) State the type. A.future valueB. ordinary annuity C.sinking fundD. present value of an annuityE.amortization (b) Answer the question. (Round your answer to the nearest cent.)
- A 5-year term insurance policy has an annual premium of $500, and at the end of 5 years, all payments and interest are refunded. What lump-sum deposit is necessary to equal this amount if you assume an interest rate of 3.5% compounded annually? Answer the question. (Round your answer to the nearest cent.) $=To insure you, Assurances Nochance Ltd offers the following plan: you will pay 20 annual payments of $8,000 starting one year from today. Then, in year 21, you or your heirs will receive a pension for the following 15 years. The discount rate used by the company to calculate your pension is 6%. (a) What is the size of your annual pension? (b) Ifyoucouldtakeaone‐timelumpsumpayment25yearsfromtodayinsteadofthepension,how high would the equivalent lump sum payment have to be?.PLEASE TYPE IT AND NOT HANDWRITTEN An obligation will be amortized by quarterly payments of P5,000 for 10 years. If interest is 6% compounded quarterly, find: c. the remaining liability just after the 15th payment d. how much of the 15th payment interests, and how much goes to the principal?
- An insurer needs to make the following annuity payments to an individual: £445 paid at the end of each month during the first 15 years and then £448 paid at the end of each 4 months for the following 8 years. Assuming an effective monthly interest rate of 1.3% throughout the entire period, how much total fund the insurer needs to hold today in order to meet these payments? ( correct answer =31470.44, using formulas no tables)An obligation will be amortized by quarterly payments of P5,000 for 10 years. If interest is 6% compounded quarterly, find: c. the remaining liability just after the 15th payment d. how much of the 15th payment interests, and how much goes to the principal?apollo enterprises has been awarded an insurance settlement of 6,000 at the end of each 6 month period for the next 12 years (round your answer to the nearest cent) (a) As the accountant, calculate how much (in $) the insurance company must set aside now at 6% interest compounded semiannually to pay this obligation to apollo (b) how much (in $) would the insurance company have to invest now if the apollo settlement was charged to 3,000 at the end of each 3 month period for 12 years and the insurance company earned 8% interest compounded quarterly? (c) how much (in $) would the insurance company have to invest now if the apollo settlement was paid at the beginning of each 3 month period rather than the end?