Jeff bought an increasing perpetuity-due with annual payments starting at 5 and increasing by 5 each year until the payment reaches 100. The payments remain at 100 thereafter. The annual effective interest rate is 7.5%. Determine the present value of this perpetuity. A. 700 B. 785 C. 760 D. 735 E. 810
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- 5. Ms. Saver expects to receive a deferred annuity of $20,000 a year for 10 years that is deferred 5 years. What is the present value of the annuity if money is worth 8%? a. $91,335.00 b. $171,190.00 c. $85,030.00 d. $36,988.00A 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 4Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated. 6) R = $100, i = 4% interest compounded annually for 10 years
- 7) a. b. C. d. How much more is a perpetuity of $8,000 worth than an annuity of the same amount for 10 years? Assume an interest rate of 7% and cash flows at the end of each year. $99,212 $34,740 $58,097 $1,486.444. Mr. Thomas will receive $8,500 a year for the next 15 years from her trust. If a 7 percent interest rate is applied, what is the current value of the future payments if first receipt occurs today?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 more
- 4) Jones purchased a perpetuity today for 7000. He will receive the first annual payment of 200 five years from now. The second annual payments will be 200 plus an amount C. Each subsequent payment will be the prior payment plus an additional constant amount C. If the annual effective interest rate is 4%, find C.5. A perpetuity-due with annual payments of 100 has a duration of 26.88 years at an annual effective rate of interest i. Calculate the duration of this perpetuity if the annual effective rate of interest is i +1% instead of i. A) 21.19 B) 22.63 C) 24.95 D) 27.93 E) 28.31Find the future value of an annuity in 12 years if you deposit $105 at the end of each compounding period into an account paying 1.50% compounded semiannually. $ 2749.79 O $5510.80 O $496976.44 O $2709.71
- 9. Implied interest rate and period Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Joshua inherited an annuity worth $6,830.77 from his uncle. The annuity will pay him eight equal payments of $1,100 at the end of each year. The annuity fund is offering a return of Joshua's friend, willie, has hired a financial planner for advice on retirement. Considering Willie's current expenses and expected future lifestyle changes, the financial planner has stated that once Willie crosses a threshold of $1,387,311 in savings, he will have enough money for retirement. Willie has nothing saved for his retirement yet, so he plans to start depositing $25,000 in a retirement fund at a fixed rate of 6.00% at the end of each year. It will take v for Willie to reach his retirement goal.Find the present value of the ordinary annuity: Payments of $450 made annually for 13 years at 6% compounded annually. a. $ 4182.75 b. $ 3772.71 c. $3982.28 d. $ 3983.71A ten-year annuity has an interest rate of 12% with individual cash flows of $150 at every end of the year. What is the present value of the annuity? Select one: a. $ 56.50 b. $ 756.78 c. $ 48.30 d. $ 847.53