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The terms of a single parent's will indicate that a child will receive an ordinary
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- The terms of a single parent's will indicate that a child will receive an ordinary annuity of $12,000 per year from age 18 to age 24 (so that the child can attend college) and that the balance of the estate goes to a niece. If the parent dies on the child's 12th birthday, how much money must be removed from the estate to purchase the annuity? (Assume an interest rate of 7%, compounded annually. Round your answer to the nearest cent.)Delia purchases an annuity that will pay her $10,000 per year for the next 10 years starting next year. Assuming a rate of 6%, what is the value of the annuity. Choose the closest. a) $106,000 b) $131,808 c) $159,374 d) $171,569Grandparents plan to open an account on their grandchild's birthday and contribute each month until she goes to college. How much must they contribute at the beginning of each month in an investment that pays 7%, compounded monthly, if they want the balance to be $200,000 at the end of 18 years? (a) State whether the problem relates to an ordinary annuity or an annuity due. ordinary annuity annuity due (b) Solve the problem. (Round your answer to the nearest cent.)
- Grandparents plan to open an account on their grandchild's birthday and contribute each month until she goes to college. How much must they contribute at the beginning of each month in an investment that pays 7%, compounded monthly, if they want the balance to be $170,000 at the end of 18 years? (a) State whether the problem relates to an ordinary annuity or an annuity due. (b) Solve the problem. (Round your answer to the nearest cent.)Mrs. Crawford will receive $9,250 a year for the next 14 years from her trust. Use Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods.If a 8 percent interest rate is applied, what is the current value of the future payments? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)James deposits a fixed quarterly amount into an annuity account for his child's college fund. He wishes to accumulate a future value of $60,000 in 17 years. Assuming an APR of 3.7%, how much of the $60,000 will James ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary.
- Walter deposits a fixed quarterly amount into an annuity account for his child's college fund. He wishes to accumulate a future value of $80,000 in 12 years. Assuming an APR of 3.7% compounded quarterly, how much of the $80,000 will Walter ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary.To help out with her retirement savings, Rachel invests in an ordinary annuity that earns 7.8% interest, compounded annually. Payments will be made at end of each year. How much money does she need to pay into the annuity each year for the annuity to have a total value of $98.000 after 17 years? Do not round intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas.To help out with her retirement savings, Kaitlin invests in an ordinary annuity that earns 2.4% interest, compounded annually. Payments will be made at the end of each year. How much money does she need to pay into the annuity each year for the annuity to have a total value of s98,000 after 19 years? Do not round intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas.
- Emerson Cammack wishes to purchase an annuity contract that will pay him $7,000 a year for the rest of his life. The Philo Life Insurance Company figures that his life expectancy is 20 years, based on its actuary tables. The company imputes a compound annual interest rate of 6 percent in its annuity contracts. a. How much will Cammack have to pay for the annuity? b. How much would he have to pay if the interest rate were 8 percent?Amy purchases an annuity that will give her payments of R at the end of each quarter for seven years. She will receive the first of these payments in 1.5 years. If Amy paid $50,000 for this annuity and will earn a nominal rate of interest of 6% compounded quarterly,(a) write the equation of value (using the appropriate actuarial notation) for this annuity at the time of purchase. Be sure to indicate the effective rate per payment period being used.(b) find the value of R.Gustav desires to deposit with a Trust Company a sum just sufficient to provide his family with an annuity of $600 per month for twenty-four years. How much he deposit if the Trust Company agrees to accumulate interest at the rate of 6% payable monthly? show solution
