The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. O An annuity that pays $500 at the beginning of every six months O An annuity that pays $500 at the end of every six months O An annuity that pays $1,000 at the beginning of each year O An annuity that pays $1,000 at the end of each year An ordinary annuity selling at $4,947.11 today promises to make equal payments at the end of each year for the next eight years (N). If the annuity's appropriate interest rate (1) remains at 6.50% during this time, the annual annuity payment (PMT) will be You just won the lottery. Congratulations! The jackpot is $35,000,000, paid in eight equal annual payments. The first payment on the lottery jackpot will be made today. In present value terms, you really won -assuming annual interest rate of 6.50%.

The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. O An annuity that pays $500 at the beginning of every six months O An annuity that pays $500 at the end of every six months O An annuity that pays $1,000 at the beginning of each year O An annuity that pays $1,000 at the end of each year An ordinary annuity selling at $4,947.11 today promises to make equal payments at the end of each year for the next eight years (N). If the annuity's appropriate interest rate (1) remains at 6.50% during this time, the annual annuity payment (PMT) will be You just won the lottery. Congratulations! The jackpot is $35,000,000, paid in eight equal annual payments. The first payment on the lottery jackpot will be made today. In present value terms, you really won -assuming annual interest rate of 6.50%.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Similar questions

You 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.
Find the future value of an annuity due with an annual payment of $9,000 for two years at 7.5% annual interest using the simple interest formula. Find the total amount invested. Find the interest. What is the future value of the annuity? (Round to the nearest cent as needed.)
You are offered an annuity that will pay $4,250 per quarter for 8 years (first payment made today). If you feel that the appropriate discount rate is 12%, what is the annuity worth to you today?
Use a calculator to evaluate the present value of annuity formula. For the values of the variables m, r, and t (respectively). Assume n=12. (Round your answer to the nearest cent). $50, 5%, 3 years.
You are planning for a very early retirement. You would like to retire at age 40 and have enough money saved to be able to draw $240,000 per year for the next 30 years (based on family history, you think you'll live to age 70). You plan to save for retirement by making 10 equal annual installments (from age 30 to age 40) into a fairly risky investment fund that you expect will earn 14% per year. You will leave the money in this fund until it is completely depleted when you are 70 years old. EClick the icon to view the present value annuity table.) (Click the icon to view the future value annuity table.) (Click the icon to view the present value table.) E (Click the icon to view the future value table.) To make your plan work answer the following questions: 1 (Click the icon to view the questions.)
You are contemplating the purchase of a twenty-four year (variable) annuity that promises cash flows in the following pattern, repeating every four years:e 6. 3 21e 22e 23 24 $1,600- $1,500- $1,400- $1,300 $1,600- $1,500 $1,400 $1,300- Suppose you don't like the fluctuations in the amount of your annual benefits. a. What annual rate of return would you use to convert these (end-of-year) cash flows to equal annual (end-of-year) amounts if you required an APR of 14.4%, compounded monthly? b. Without prejudice to your answer in part a, suppose that your required annual rate of return is 15%, what equal annual (beginning-of-year) payments over the twenty-four year period would be equivalent to the cash flow stream depicted above?
Find the future value of the following ordinary annuity. Payments are made and interest is compounded as given. R = $1,000, 5% interest compounded monthly for 6 years What is the future value of the ordinary annuity? (Round to the nearest dollar as needed.)
You are comparing two annuities. Annuity A pays $115 at the end of each year for 5 years. Annuity B pays $105 at the beginning of each year for 5 years. The rate of return on both annuities is 12 percent. Which one of the following statements is correct given this information? Annuity B has both a higher present value and a higher future value than Annuity A. O Annuity A has both a higher present value and a higher future value than Annuity B. O Annuity A has the same present value and future value as Annuity B.
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..
You will receive cash flows of $23.42 next year from a perpetuity. The perpetuity is indexed to inflation, π=1.1%, such that payments grow at 1.2% faster than inflation. If the interest rate is 9.1% per year, what is the PV of the perpetuity?
You are offered an annuity that will pay $11,000 per year for 24 years (the first payment will occur one year from today). If you feel that the appropriate discount rate is 12%, what is the annuity worth to you today? $914,490.09 $1.299,707.65 $95,902.77 $1,455,672.57 $85.627.47 You are told that if you invest $10,900 per year for 12 years (all payments made at the end of each year) you will have accumulated $670,000 at the end of the period. What annual rate of return is the investment offering? 29.99% 23.63% 20.63% 26.99% 33.44%
the discount rate or the interest rate increases for a given time period? As the discount rate or the interest rate decreases? 10. Relationship between an ordinary annuity and an annuity due. Compare the present value of a $6,000 ordinary annuity at 10 percent interest for ten years with the present value of a $6,000 annuity due at 10 percent interest for eleven years. Explain the difference.

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