3.) Find the present value of an annuity in perpetuity where payments are $1, 000 at the beginning of the first year, third year, etc. and payments are $1, 500 at the beginning of the second year, fourth year, etc. Here effective annual interest is 5%
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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?A perpetuity has payments of 1, 1.2, 1, 1, 3, 1, 1, 4. Payments are made at the end of each year. Assuming an annual effective interest rate of 5%, find the present value of the perpetuity. A B с D E 45 60 67 119 440 4The FV of an annuity where payments are made at the beginning of the year is $6,456 and the FV of an annuity where payments are made at the end of the year is $5946. If the annuity is for 5 years; find the interest rate.
- Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated.R = $1,000, i = 0.04, n = 13Calculate 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 yearsAssume that an annuity has an annual cash flow of $375 in Years 11 through 20 (10 cash flows). Also assume that the nominal annual interest rate that is appropriate for this annuity is 9 percent (compounded daily, and using a 365-day basis year). Given this information, determine the value o this annuity at Year 0. $ 838.62 $1,205.43 $960.89 $1,083.16 O $716.35
- "The payments are made monthly and its compounding periods is quarterly." What kind of annuity is this? a. simple annuity b. general annuityUse the ordinary annuity formula shown to the right to determine the accumulated amount in the annuity if $60 is invested semiannually for 10 years at 5.0% compounded semiannually. The accumulated amount will be Find the payment that should be used for the annuity due whose future value is given. Assume that the compounding period is the same as the payment period. $168, 000; monthly payments for 5 years; interest rate 3% .
- A perpetuity will pay $800 per year, starting five years after the perpetuity is purchased. What is the present value (PV) of this perpetuity on the date that it is purchased, given that the interest rate is 3%?In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the amount of time needed for the sinking fund to reach the given accumulated amount. (Round your answer to two decimal places.) $295 monthly at 5.8% to accumulate $25,000.Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.) $1600/semiannual period for 6 years at 3.5%/year compounded semiannually