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- The present value of an annuity is the amount needed now so that desired annuity payments may be made in the future. In this scenario annuity payments will be made at the beginning of each month. Thus, this is an annuity due. To find the present value of this annuity, the amount of money that should be deposited in an account now, the interest rate per period must first be found. The interest rate per period is calculated using the nominal, or annual, rate and the number of periods per year as follows. interest rate per period = nominal rate periods per year The rate was given to be 6%. Interest is compounded monthly, or 12 times per year. Find the interest rate per period. interest rate per period = nominal rate periods per year = % 12 = % The total number of compounding periods will be 1 less than the number of years annuity payments will be made multiplied by the number of compounding periods per year. There are 12…Use the formula for the future value of an ordinary annuity to solve for n when A = $6,000, the monthly payment r = $550 and annual intrest r = 8.5%Complete the following for the present value of an ordinary annuity. (Use Table 13.2.) (Do not round intermediate calculations. Round your answer to the nearest cent.) Present value (amount needed now to invest to receive annuity) Amount of Payment Time Interest rate annuity expected %24 860 Annually 5 years 7 % acer
- Calculate the present value of the following annulties, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of S1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) \table[[, \table[[Annuity], [Payment]], \table [[ Annual], [Rate]], \table[[Interest], [Compounded]], \table [[Period], [Invested]], \table [[Present Value of], [ Annuity]]], [1., $5,000, 7.0%, Semiannually,3 years,], [2., 10, 000, 8.0%, Quarterly,2 years, ], [3., 4,000, 10.0 %, Annually,5 years,]]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. (/= interest rate, and n= number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1. PV of $1. FVA of $1. PVA of $1. EVAD of $1 and PVAD of $1) 1. $ 2 3 4. 15 Present Value Answer is complete but not entirely correct. Annuity Amount 2.200 145,000 190,000 72.523 45,787 8,784 558,865 480,945 520,000 240,000 8% 1.0% 9% 2.5% 10% n= 5 4 30 8 4Simple Annuity Solve the following problems. Show a complete and detailed solution. What is asked? What are given? Formula to be used and a detailed solution. Write legibly and neatly. 1. What is the present worth of a P1000 annuity starting at the end of the third year and continuing to the end of the fourth year, if the annual interest rate is 15%? 2. Find the annual payment to extinguish a debt P15,000 payable for 6 years at 12% interest annually. 3. A factory operator bought a diesel generator set for P 20,000.00 and agreed to pay the dealer uniform sum at the end of each year for 5 years at 8.5% interest compounded annually, that the final payment will cancel the debt for principal and interest. What is the annual payment? 4. A man paid 10% down payment of P200,000 for a house and lot and agreed to pay the 90% balance on monthly installment for 60 months at an interest rate of 10% compounded monthly. Compute the amount of the monthly payment. 5. What is the accumulated amount of…
- Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem. PV=$12,00; PMT=$400; n=55; =i?Find the future value of an annuity due with an annual payment of $14,000 for three years at 4% annual interest using the simple interest formula. How much was invested? How much interest was earned? What is the future value of the annuity? $ (Round to the nearest cent as needed.) How much was invested? S How much interest was earned? S (Round to the nearest cent as needed.) ←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 = $
- Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) 1. 2. 3. Annuity Annual Payment Rate $4,700 6.0 % 8.0 % 7,700 6,700 10.0 % Show Transcribed Text 1. 2. 3. Annuity Annual Payment Rate Interest Compounded Quarterly Annually Semiannually $ 5,700 Interest Compounded 8.0 % Quarterly 10,700 11.0% Annually 4,700 10.0 % Semiannually Period Invested 5 years 6 years 9 years Calculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) $ Period Invested 2 years 5 years 3 years Future Value of Annuity 172,892.28 Present Value of AnnuityUse a calculator to evaluate an ordinary annuity formula nt A = m for m, r, and t (respectively). Assume monthly payments. (Round your answer to the nearest cent.) $100; 8%; 11 yr A = $Calculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1. PV of $1. FVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. 2. 3. Annuity Payment $ 5,600 10,600 4,600 Annual Rate Interest Compounded Semiannually 9.0% 10.0% Quarterly 11.0% Annually Period Invested 3 years 2 years 5 years Present Value of Annuity