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- At an annual effective rate of interest i = 4%, find the PV of a perpetuity- immediate with annual payments of 3, 6, 9, 12, ... %3DAt an annual effective interest rate of i, i > 0%, the present value of a perpetuity paying 10 at the end of each 3-year period, with the first payment at the end of year 6, is 32. At the same annual effective rate of i, the present value of a perpetuity-immediate paying 1 at the end of each 4-month period is X. Calculate X. a. 40.8 b. 39.8 41.8 d. 42.8 38.8 C. e.Find the PV of a 26-year annuity-immediate with payments of 1, 2, 3, ..., 26 at an annual effective rate of interest ii = 7%. Possible Answers A 113.2 B 114.7 C 115.9 D 116.8 E 117.5
- 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 yearsAt an annual effective rate of interest i = 2%, find the AV of a 22-year annuity immediate with annual payments such that the first payment is 62, and each payment thereafter decreases by 1. Possible Answers A 1227.59 B 1267.25 C 1397.58 D 1407.51 E 1427.59Calculate 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 Annuity
- 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) Annuity Payment Annual Rate Interest Compounded Period Invested Present Value of Annuity 1. $5,200 7.0 % Annually 5 years 2. 10,200 10.0 % Semiannually 3 years $4,264.21 3. 4,200 12.0 % Quarterly 2 yearsAt an annual effective interest rate of 5%, an annuity immediate with 4N level annual payments of 1000 has a present value of 14,898.13. Determine the fraction of the total present value represented by the first set of N payments and the third set of N payments combined. A. 0.579 B. 0.585 C. 0.614 D. 0.643 E. 0.672For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor. 1. In a future value of 1 table: Annual Rate Number ofYears Invested Compounded a. 9% 9 Annually b. 12% 5 Quarterly c. 10% 15 Semiannually 2. In a present value of an annuity of 1 table: Annual Rate Number ofYears Involved Number ofRents Involved Frequency of Rents a. 9% 25 25 Annually b. 10% 15 30 Semiannually c. 12% 7 28 Quarterly
- At an annual effective interest rate of 5%, the present vakue of a perpetuity immediate with successive annual payrnents of 10, 13, 16- 19, is equal to X Calculate X a. 1400 b. 1300 1200 O d. 1000 e. 700Find the value of the ordinary annuity at the end of the indicated time period. The payment R, frequency of deposits m (which is the same as frequency compounding) annual interest rate r, and time t amount $800 monthly interest rate 5.5%6years what is the future value of the given annu(please answer both questions) At an annual effective rate of interest i=3%, find the PV of a perpetuity-immediate with annual payments of 30, 40, 50, 60, *** a) 9520 b) 10800 c) 11254 d) 12111 e) 12500 Find the PV of a perpetuity-immediate with payments of 1 in year 1, 2 in year 2, 3 in year 3,..., and 20 in year 20. After 20, the payments remain constant at 20. The annual effective rate of interest i = 4%. a) 280.75 b) 319.14 c) 353.35 d) 427.01 e) 450.00
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