At 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. 0.672
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- Value of an Annuity Using the appropriate tables, solve each of the following. Required: 1. Beginning December 31, 2020, 5 equal withdrawals are to be made. Determine the equal annual withdrawals if 30,000 is invested at 10% interest compounded annually on December 31, 2019. 2. Ten payments of 3,000 are due at annual intervals beginning June 30, 2020. What amount will be accepted in cancellation of this series of payments on June 30, 2019, assuming a discount rate of 14% compounded annually? 3. Ten payments of 2,000 are due at annual intervals beginning December 31, 2019. What amount will be accepted in cancellation of this series of payments on January 1, 2019, assuming a discount rate of 12% compounded annually?At 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.) 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
- 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 117.5Calculate 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 AnnuityAt 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 value of the annuity at the end of the indicated number of years. Assume that the interest is compounded with the same frequency as the deposit. M= $200 N=annually R=9% T=20 Answer choices: A.) 10,232.02 B.) 133,577.37 C.)11,258.31 D.)11,610.43 E.)9,664.34Find 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 annuYou are given the following term structure of spot interest rates: Time (in years) Spot Interest Rate 3% 2. 3.5% 3. 4% 4. 5% A three-year annuity-immediate will be issued a year from now with annual payments of 1.000. Using the forward rates, calculate the present value of this annuity a year from now. O A. 2643 OB. 2725 OC. 2828 D. 2905 O E. 3021
- Find 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 37,598You are given the following about two annuities-immediate: Annuity A pays 300 at the end of each year for 18 years. d ofc Annuity B pays 399.865 at the end of each year for 9 years. At an annual effective rate of interest i, the PV of both annuities are equal. Calculate i. Ponible Answers 12% 11% C 10% D 13% 14%Present value of an annuity Consider the following cases, Amount of annsity Interest rate Ferind (years) Case $ 12,000 7% B. 55,000 12 15 C 700 20 D. 140,000 E 22,500 10 a. Calculate the present value of the annuity, assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a(1) and a(2). All else being identical, which trne of annuity-ordinary or annuity due-is preferable? Explain why.