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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 yearsEstimating the annual interest rate with an ordinary annuity. Fill in the missing annual interest rates in the following tal for an ordinary annuity stream: Number of Annual Annuity Present Value Payments or Years Future Value Interest Rate % (Round to two decimal places.) $0.00 $580.00 $2,273.24 % (Round to two decimal places.) $16,708.36 $464.77 $0.00 16 $0.00 $1,941.91 $37,000.00 40 % (Round to two decimal places.) $1,305,012.58 $500.00 $0.00 100 % (Round to two decimal places.)Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated. R= $1,000, i- 0.04, n = 13 O $41.626.84 O $15,025.81 O 54002.58
- Use the table below to answer the following questions: Present Value of 1 Factor Present Value of an Annuity of 1 Factor Period 1/2 Yr Full-Yr 1/2 Yr Full-Yr 1 0.9578 0.9174 0.9578 0.9174 2 0.9174 0.8417 1.8753 1.7591 3 0.8787 0.7722 2.7540 2.5313 4 0.8417 0.7084 3.5957 3.2397 5 0.8062 0.6499 4.4019 3.8897 6 0.7722 0.5963 5.1740 4.4859 Assumption: Required annual effective rate (EPR) of return is 9%. If an investment pays you $54,000 every 6 months for 3 years, starting at the beginning of each 6 month period, what is its present value? Group of answer choices $279,396 $291,703 $250,193 $273,380Use the table below to answer the following questions: Present Value of 1 Factor Present Value of an Annuity of 1 Factor Period 1/2 Yr Full-Yr 1/2 Yr Full-Yr 1 0.9578 0.9174 0.9578 0.9174 2 0.9174 0.8417 1.8753 1.7591 3 0.8787 0.7722 2.7540 2.5313 4 0.8417 0.7084 3.5957 3.2397 5 0.8062 0.6499 4.4019 3.8897 6 0.7722 0.5963 5.1740 4.4859 Assumption: Required annual effective rate (EPR) of return is 9%. If an investment pays you $108,000 at the end of each year for 3 years, what is its present value? Group of answer choices $291,703 $273,380 $279,396 $250,193Give typing answer with explanation and conclusion Determine the periodic payment for the following deferred annuity. The annuity is an ordinary annuity following the period of deferral. Deferral period Payment interval (months) Interest rate (%) Compounding frequency Term (years) Present value ($) 27 months 1 6.4 Quarterly 20 50,000.00
- Use the table below to answer the following questions: Present Value of 1 Factor Present Value of an Annuity of 1 Factor Period 1/2 Yr Full-Yr 1/2 Yr Full-Yr 1 0.9578 0.9174 0.9578 0.9174 2 0.9174 0.8417 1.8753 1.7591 3 0.8787 0.7722 2.7540 2.5313 4 0.8417 0.7084 3.5957 3.2397 5 0.8062 0.6499 4.4019 3.8897 6 0.7722 0.5963 5.1740 4.4859 Assumption: Required annual effective rate (EPR) of return is 9%. If an investment pays you $324,000 at the end of 3 years, what is its present value? Group of answer choices $279,396 $291,703 $273,380 $250,193Use the table below to answer the following questions: Present Value of 1 Factor Present Value of an Annuity of 1 Factor Period 1/2 Yr Full-Yr 1/2 Yr Full-Yr 1 0.9578 0.9174 0.9578 0.9174 2 0.9174 0.8417 1.8753 1.7591 3 0.8787 0.7722 2.7540 2.5313 4 0.8417 0.7084 3.5957 3.2397 5 0.8062 0.6499 4.4019 3.8897 6 0.7722 0.5963 5.1740 4.4859 Assumption: Required annual effective rate (EPR) of return is 9%. If an investment pays you $54,000 every 6 months for 3 years, what is its present value? $279,396 $250,193 $273,380 $291,703Complete 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 ?
- 9. Examine the time line for Now the annuity shown. 250 (1.015) 250 (1.015) 250 (1.015) E 250 (1.015)23 250 (1.015) a) What is the duration of this annuity? How can you tell? b) Determine the annual rate of interest and the number of compounding periods per year. c) Determine the present value of this annuity. d) Determine the total interest earned. ANSWER 9. a) 6 years b) 6%; 4 compounding periods per year c) $5007.60 d) $992.40 Time (3-month periods) 1 2 250 250 250 250 250 3 23 24 H-H6. Calculating Annuity Values For each of the following annuities, calculate the present value. Annuity Payment Years $ 1,750 7 1,390 9 17,500 18 50,000 28 Interest Rate 5% 10 8 14Find the difference between the sums of annuity due and ordinary annuity for the following data: Periodic payment = P 14,000; Term = 15 years; Interest rate = 10% compounded quarterly. P 63,992 O P 53,992 P 47,598 O P 37,598