EXERCISES O Compute for the future galue of annuity given the Fixed Payment (PMT), Interest Rate (1), Number of Years (n), and Frequency of Payments. PMT = P1,000; I = 10%; n = 5 years; Monthly 1. %3D 2. PMT = P100,000; I = 8%; n = 10 years; Annually 3. PMT = P50,000; I = 12%; n = 6 years; Quarterly %3D 4. PMT = P10,000; I = 6%; n = 3 years; Semi-Annually %3D 5. PMT = P1,000,000; I = 7%; n = 5 years; Annually %3D 6. PMT = P10; I = 5%; n = 1 year; Daily %3D %3D
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- 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.) Annuity Payment Annual Rate Interest Compounded Period Invested Future Value of Annuity 1. $3,100 8.0 % Semiannually 9 years $79,500.77 2. 6,100 10.0 % Quarterly 5 years 3. 5,100 12.0 % Annually 6 yearsCalculate 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 AnnuityCalculate 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
- 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, EVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. Annuity Payment $ 3,700 Annual Rate Interest Period Compounded Invested Future Value of Annuity 7.0% Semiannually 9 years 2. 6,700 8.0% Quarterly 5 years 3. 5,700 12.0% Annually 6 yearsCalculate 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. (i = interest rate, and n = number of years) (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) Present Value Annuity Amount i = n = $3,000 75,000 20,000 80,518 1 2 3 4 5 242,980 161,214 500,000 250,000 8% 9% 10% 5 4 8 4
- 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…Future Value of an Annuity Calculate the future value. Present Value Interest Rate $0.00 10% monthly Payments $475.00 monthly Number of Payments per Year: PY= a. Determine the annuity type. O Ordinary Simple Annuity O Ordinary General Annuity O Simple Annuity Due O General Annuity Due b. Identify the following pieces of information to be used to calculate the future value of the annuity. Periodic Payment: PMT Total Number of Payments: N= Annual Interest Rate: r = Number of Compoundings per Year: CY c. Determine the future value of the annuity. Timing of Payment Years End 19 = Future Value ???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 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 ?Given the following information, calculate the rate of return. price = $501.88time to maturity = 10 yearsannual payment = $100type = ordinary annuityFind the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated.R = $1,000, i = 0.04, n = 13