To calculate the future value of the annuity to the nearest cent, substitute the known values of i = 0.03 12 n = 240, and PMT = 120 into the formula and proceed to simplify. (Round your final answer to the nearest cent.) FV = PMT| (1 + i)" – 1 0.03 240 - 1 1 + 12 FV = 0.03 12 Thus, the future value of the monthly deposits of $120 at an annual rate of 3% for 20 years is $
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- We can now use the following formula to find the present value of the account where the annuity payments are $400 each month. present value = table factor ✕ annuity payment The table factor was determined to be 21.67568. Before using the above formula, we must add 1 to the table factor since this is an annuity due. Thus, the table factor to use in the formula is 21.67568 + 1 = . Substitute the values into the formula, rounding the result to the nearest cent. present value = table factor ✕ annuity payment = ✕ 400 = $ Therefore, to receive annuity payments of $400 at the beginning of each month for 2 years, the amount that should be deposited now into an account earning 6% interest compounded monthly, to the nearest cent, is $ .Complete the table below by computing for the unknown component of a general annuity. PMT r t Payment interval Compounding period FV PV 1.P900 6% 6.25 yrs. Monthly quarterly ? 2.P1800 11% 8 yrs. Quarterly monthly ? 3.P500 5% 8 yrs. Monthly annually ?i need answer typing clear urjent no chatgpt if the future value of an ordinary eight year annuity is $5500 in interest rates are 8.0% what is the future value of the same annuity due? (round your answer to 2 decimal places)
- Give typing answer with explanation and conclusion to all parts If $387674 is used to purchase an annuity earning 5.5% compounded monthly and paying $3102 at the end of each month, what will be the term of the annuity? Include the final, smaller annuity payment in the total. (Just state total months as a number, not years and months) What is N? What is I/Y? What is C/Y? What is P/Y? What is PV? What is PMT? What is FV?Use a calculator to evaluate an ordinary annuity formula for m, r, and t (respectively). Assume monthly payments. (Round your answer to the nearest cent.) $20; 4%; 30 yr A = $Suppose you are going to receive $12,700 per year for six years. The appropriate interest rate is 7.6 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a-2.What is the present value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose you plan to invest the payments for six years. What is the future value if the payments are an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. Suppose you plan to invest the payments for six years. What is the future value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
- For each of the following situations involving annuities, solve for the unknown (?). Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years) Present Value Annuity Amount i n1. ? $ 3,000 8% 52. $ 242,980 75,000 ? 43. 161,214 20,000 9 ?4. 500,000 80,518 ? 85. 250,000 ? 10 4 Sandy Kupchack just graduated from State University with a bachelor’s degree in history. During her four years at the university, Sandy accumulated $12,000 in student loans. She asks for your help in determining the…The present value of a perpetuity is equal to the payment on the annuity, PMT, divided bythe interest rate, I : PV = PMT/I. What is the future value of a perpetuity of PMT dollars peryear? (Hint: The answer is infinity, but explain why.)What is the present value of an annuity of $7,100 per year, with the first cash flow received three years from today and the last one received 25 years from today? Use a discount rate of 7 percent. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
- Which is a better way to invest $7,000 if the concern is simply the future value: a 2-year certificate of deposit paying 2.2% compunded quarterly, or a 2-year annuity that divides that $7,000 into 8 quarterly payments and pays 5.6% compunded quarterly? Round your answer to the nearest cent. A) The 2- year certificate of deposit has a future value of $7313.99 B) The 2-year annuity has a future value of $What is the future value of an 11%, 5-year ordinary annuity that pays $350 each year? Do not round intermediate calculations. Round your answer to the nearest cent. $ If this were an annuity due, what would its future value be? Do not round intermediate calculations. Round your answer to the nearest cent. $Use a calculator to evaluate the present value of an annuity formula P = m 1 − 1 + r n −nt r n for the values of the variables m, r, and t (respectively). Assume n = 12. (Round your answer to the nearest cent.) $150; 4%; 15 yr $