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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. What is the amount of the annuity purchase required if you wish to receive a fixed payment of $250,000 for 20 years? Assume that the annuity will earn 12 percent per year. b. Calculate the annual cash flows (annuity payments) from a fixed-payment annuity if the present value of the 20-year annuity is $1.5 million and the annuity earns a guaranteed annual return of 12 percent. The payments are to begin at the end of the current year. c. Calculate the annual cash flows (annuity payments) from a fixed-payment annuity if the present value of the 20-year annuity is $1.5 million and the annuity earns a guaranteed annual return of 12 percent. The payments are to begin at the end of five years. (For all requirements, do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16))For each of the following cases, calculate the present value of the annuity, assuming the annuity cash flows occur at the end of each year. SEE DETAILS IN PIC
- Find the future value of an ordinary annuity if payments are made in the amount R and interest is compounded as given. Then determine how much of this value is from contributions and how much is from interest. R=16,000; 4.3% interest compounded quarterly for 11 years. The future value of the ordinary annuity is $__ (Round to the nearest cent as needed.) The amount from contributions is $__ and the amount from interest is $__. (Round to the nearest cent as needed.)What is the present value of a 10-year annuity of $5,250 per period in which payments come at the beginning of each period? The interest rate is 11 percent. Use Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods. When using Appendix D to find the present value of this annuity due, subtract 1 from n and add 1 to the tableFind 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. $17,000; quarterly payments for 19 years; interest rate 9.3% The payment should be $ (Round to the nearest cent as needed.)
- Suppose that a fixed-payment 15-year annuity has present value of Rs 2.5 million The annuity earns a guaranteed 9 percent annual return. If the payments are to begin at the end of current year, what is the annuity payment from this fixedpayment annuity?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% .Consider the following case Amount of Annuity: $26,000 Interest Rate: 12% Period of years: 12 Calculate the present value of the annuity assuming that is it a oridinary annuity and a annuity due.
- Assume 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 $716.35Calculate 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 yearsThe present value of an annuity is the amount needed now so that desired annuity payments may be made in the future. In this scenario annuity payments will be made at the beginning of each month. Thus, this is an annuity due. To find the present value of this annuity, the amount of money that should be deposited in an account now, the interest rate per period must first be found. The interest rate per period is calculated using the nominal, or annual, rate and the number of periods per year as follows. interest rate per period = nominal rate periods per year The rate was given to be 6%. Interest is compounded monthly, or 12 times per year. Find the interest rate per period. interest rate per period = nominal rate periods per year = % 12 = % The total number of compounding periods will be 1 less than the number of years annuity payments will be made multiplied by the number of compounding periods per year. There are 12…