The individual is paid a whole life annuity-due of 10,000 per year, payable annually. Calculate the EPV of the annuity at an interest rate of 5% per year.
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- If the value of the annual payment is $34,059.92, calculate the present value of a life annuity payable to a 54-year-old woman, if the rate is 4.5% per year, considering from the mortality tables that N55 = 127,744 and if D54 = 8701.9Consider a whole life insurance with annual premiums and a 20-year premium paying term issued to a select life aged 30, with sum insured $200,000 payable at the end of the year of death. Write down an expression for the net future loss random variableJulia Baker died, leaving to her husband Brent an insurance policy contract that provides that the beneficiary (Brent) can choose any one of the following four options. a. $55,000 immediate cash. b. $4,000 every 3 months payable at the end of each quarter for 5 years. c. $18,000 immediate cash and $1,800 every 3 months for 10 years, payable at the beginning of each 3-month period. d. $4,000 every 3 months for 3 years and $1,500 each quarter for the following 25 quarters, all payments payable at the end of each quarter. Instructions If money is worth 2½% per quarter, compounded quarterly, which option would you recommend that Brent exercise?
- Jamal Brown is a 55-year-old engineer. According to mortality tables, a male at age 55 has an average life expectancy of 21 more years. Jamael has accumulated $200,000 toward his retirement. He is now adding $10,000 per year to his retirement fund. The fund earns 5% interest. Jamal will retire when he can obtain an annual income from his retirement fund of $100,000, assuming he lives to age 76. He will make no provision for a retirement income after age 76. What is the youngest age at which Jamal can retire?After an accident Nomfundo was awarded an amount from the Road Accident Fund as compensation for her injuries. She chose to receive R18 900 per month indefinitely. If money is worth 9,95% per year, compounded monthly, then the amount awarded is approximately [1] R7 252 333. [2] R6 565 554. [3] R2 279 397. [4] R189 950. [5] none of the aboveThe beneficiary of a life insurance policy is to receive $2000 a year for 5 years, the first payment to be made at the time of the death of the injured. Find the value of the annuity at the time of death of injured, assuming the current interest rate to be 4%. Answer: $9259.8
- If a hospital received $9,000 in payments per year at the end of each year for the next (12) years from an uninsured patient who underwent an expensive operation, what would be the current value of these collection payments: at a 4% rate of return? at a 8% rate of return? at a 4% rate of return if the payments were received at the beginning of the year? at a 8% rate of return if the payments were received at the beginning of the year?Julia Baker died, leaving to her husband Tony an insurance policy contract that provides that the beneficiary (Tony) can choose any one of the following four options. Money is worth 2.5% per quarter, compounded quarterly. Compute Present value if: $4,060 every 3 months for 3 years and $1,480 each quarter for the following 25 quarters, all payments payable at the end of each quarter. (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)A select life aged 60 purchases a 10-year endowment insurance with $100,000 sum insured. Premiums are payable annually in advance and death benefits are payable at the end of the year of death. Assume that (i) commission is 10% of the first premium and 4% of each subsequent premium, (ii) other expenses are $50 at issue, and $5 at each subsequent premium date, (iii) mortality follows the Standard Select Life Table, and (iv) interest is 5% per year. Calculate the annual premium.
- Linda bought a life insurance policy whereby she insured herself for 1 million for a period of 10 years. Annual premium amount is 50,000. After 10 years, she received from the insurance company the amount of 600,000. 65. How much is the gross income? A. ZERO B. 100,000 C. 600,000 D. 1,000,000 66. In the above problem, assuming Linda died on the end of the fourth year of the policy and the beneficiary received 1 Million from the insurance company, how much is the gross income recognizable? A. ZERO B. 200,000 C. 800,000 D. 1,000,000A medical doctor, 48 years old, is enrolled in a pension fund that will pay he $6,000 monthly at retirement age 60. This fixed monthly pension payout will be for a period of 25 years. The doctor requires a 6%)annual return on her investments. The present value of this annuity today is closest to: A- $462798 B. $469.858 C- $945447Ms. Anna Ang, aged 39, recently purchased an endowment plan from an insurer that requires her to set aside $24,000 per year for the next 23 years till she retires at age 62. The first premium payment occurs at the beginning of the period. Assuming an inflation rate of 2% and an estimated rate of return of 4.0% from the endowment plan, what is the estimated future value of Anna’s regular savings at age 62?