uity X and Y provide the following payments: End of Year Y 1-10 1 K 11-20 2 21-30 1 K Annuity X and Y have equal present values at an effective annual interest rate of 7.1773%. Wha present value of X? What is K?
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- End of Year Annuity X Annuity Y ETT 1-10 1 K 11-20 21-30 1 K Annuities X and Y have equal present values at an annual effective interest rate i such that v10 = 1/2. Determine K.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 ???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 years
- 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 AnnuityComplete 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 ?Calculate the future value. Present Value Interest Rate $0.00 8% monthly Payments $500.00 monthly Timing of Payment Years End Future Value 24 ??? a. Determine the annuity type. Ordinary Simple Annuity Ordinary General Annuity O Simple Annuity Due General Annuity Due b. Identify the following pieces of information to be used to calculate the future value of the annuity. Periodic Payment: PMT = Number of Payments per Year: PY = Total Number of Payments: N = Annual Interest Rate: r = = Number of Compoundings per Year: CY = c. Determine the future value of the annuity.
- Present value of an annuity Consider the following cases. Case ◄AUA- E Amount of annuity $ 12.000 55.000 700 140.000 22.500 Interest rate 12 20 5 10 Period (years) a. Calculate the present value of the annuity assuming that it is (1) An ordinary annuity, mu 9 7 b. Compare your findings in parts al 1) and a(2). All else being identical, which of annuity-ordinary or annuity due-is preferable? Explain why. Personal Finance Problem Tume value-Annuities - Marian Kirk wishes to select the better of two 10-year annuines, C and D. Annuity C is an ordinary annuity of $2,500 per year for 10 years. Annuity D is an annuity due of $2,200 per year for 10 years. delen future value of both annuities at the end of year 10, assuming thatFuture value of an ordinary annuity. Fill in the missing future values in the following table for an ordinary annuity. Number of Payments or Years Annual Interest Rate Present Value Annuity Future Value 10 9% 0 $286.87 ? 18 16% 0 $1,397.76 ? 30 2.5% 0 $721.92 ? 280 1% 0 $553.71 ? Number of Payments or Years Annual Interest Rate Present Value Annuity Future Value 10 9% 0 $286.87 $nothing (Round to the nearest cent.) 18 16% 0 $1,397.76 $nothing (Round to the nearest cent.) 30 2.5% 0 $721.92 $nothing (Round to the nearest cent.) 280 1% 0 $553.71 $nothing (Round to the nearest cent.)Present value of an ordinary annuity. Fill in the missing present values in the following table for an ordinary annuity. Number of Payments or Years Annual Interest Rate Future Value Annuity Present Value 5 8% 0 $213.22 ? 16 15% 0 $3,317.78 ? 29 4.5% 0 $674.57 ? 300 1% 0 $2,538.86 ? Number of Payments or Years Annual Interest Rate Future Value Annuity Present Value 5 8% 0 $213.22 $nothing (Round to the nearest cent.)
- Estimating the annual interest rate with an ordinary annuity. Fill in the missing annual interest rates in the following table for an ordinary annuity stream. Number of Payments or Years Annual Interest Rate Future Value Annuity Present Value 10 ? $0.00 $600.00 $2,386.09 18 ? $13,278.73 $354.57 $0.00 40 ? $0.00 $1,872.79 $40,000.00 60 ? $266,564.09 $500.00 $0.00 Number of Payments or Years Annual Interest Rate Future Value Annuity Present Value 10 nothing% (Round to two decimal places.) $0.00 $600.00 $2,386.09 18 nothing% (Round to two decimal places.) $13,278.73 $354.57 $0.00 40 nothing% (Round to two decimal places.) $0.00 $1,872.79 $40,000.00…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…Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated.R = $1,000, i = 0.04, n = 13