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- What is the future value of a 5-year ordinary annuity with annual payments of $ 702, evaluated at a 13.84 percent interest rate? Enter your answer to the nearest $.01. Do not use $ or, signs in your answer. Enter your answer as a positive number. Your Answer:A perpetuity of $1 each year, with the first payment due immediately, has a present value of $25 at an annual effective rate of i%. The owner exchanges it for another perpetuity with the first payment due immediately and subsequent payments due at two year intervals. What should the payment of the second perpetuity be, in order to keep the same interest rate, i%, and the same present value? A B с D E Less than $1.90 At least $1.90, but less than $1.94 At least $1.94, but less than $1.98 At least $1.98, but less than $2.02 $2.02 or moreYou purchase a $10, 000 annuity with payments at the end of each year for 30 years and an effective interest rate i = .04. The annuity pays $500 at the end of each year and an additional $X at the beginning of years 6 through 12. Find X.
- 5. Future Value of an Annuity The table below contains information on four different annuities. a) Calculate the future value of each annuity if it is i) An ordinary annuity ii) An annuity due b) Compare your findings. All else being identical, which type of annuity-ordinary annuity or annuity due—is preferable? Why? Part Annual CF Interest Rate Deposit Period (Years) A $1,000 B $1,200 C $6,000 D $20,000 3% 6% 8% 12% 5825 12 15Suppose a friend tells you about an annuity that pays 6% annual interest, compounded semi-annually. You invest in the annuity contributing $10,000 semiannually for 6 years. What is the value of the annuity after your last investment? Enter your answer rounded to the nearest hundred dollars and omit the dollar sign and comma (For example, $42,570.21should be entered as 42600.)Suppose you are going to receive $14,500 per year for five years. The appropriate interest rate is 8 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. a-2. What is the present value of the payments if the payments are an annuity due? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? Note: Do not round intermediate..
- A 6-year term insurance policy has an annual premium of $200, and at the end of 6 years, all payments and interest are refunded. What lump-sum deposit is necessary to equal this amount if you assume an interest rate of 2.5% compounded annually? (a) State the type. O future value O ordinary annuity O present value of an annuity O amortization O sinking fund (b) Answer the question. (Round your answer to the nearest cent.) $What is the future value of an ordinary annuity that pays $4,600 per year for 4 years? The appropriate interest rate is 7 percent. Answers: a. $10,000 b. $6,452 c. $20,423.74 d. $4,657 An investment will pay $600 at the end of each of the next 2 years, $700 at the end of Year 3, and $1,000 at the end of Year 4. What is its present value if other investments of equal risk earn 6 percent annually? Answers: a. $1,134 b. $5,324 c. $2,345.50 d. $2,569.77 *PLEASE SHOW ALL STEPS! CANNOT USE EXCEL TO SOLVE! CAN USE CALCULATOR FUNCTIONS!!A 6-year term insurance policy has an annual premium of $500, and at the end of 6 years, all payments and interest are refunded. What lump-sum deposit is necessary to equal this amount if you assume an interest rate of 2.5% compounded annually? (a) State the type. A.future valueB. ordinary annuity C.sinking fundD. present value of an annuityE.amortization (b) Answer the question. (Round your answer to the nearest cent.)
- What is the value of a 30-year annuity that pays $2500 a year? The annuity’s first payment will be received on year 11. Also, assume that the annual interest rate is 4 percent for years 1 through 10 and 5 percent hereafter.An insurance company offers you an end-of-year annuity of $48,000 per year for the next 20 years. They claim your return on the annuity is 9 percent. What should you be willing to pay today for this annuity? a. $408,672 b. $438,192 c. $398,144 d. $429,600If you want to be paid from a 13 year ordinary annuity with a guaranteed rate of 3.09% compounded annually, how much should you pay for one of these annuities if you want to receive annual payments of $7,000.00 over the 13 year period? 74018.00740137 (Note: Your answer should have a dollar sign and be accurate to two decimal places)