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- You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityCalculating interest earned and future value of savings account. If you put 6,000 in a savings account that pays interest at the rate of 3 percent, compounded annually, how much will you have in five years? (Hint: Use the future value formula.) How much interest will you earn during the five years? If you put 6,000 each year into a savings account that pays interest at the rate of 4 percent a year, how much would you have after five years?✓ Number of years to provide a given return In the information given in following case, determine the number of years that the given oridinary annuity cash flows must continue in order to provide the rate of return on the initial amount. (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Initial amount $170,100 Annual cash flow $20,473 GCXX Rate of return 5% The number of investment years, n, isyears. (Round to two decimal places.) st art
- What is the present value of a perpetual stream of cash flows that pays $ 7,500 at the end of year one and the annual cash flows grow at a rate of 2% per year indefinitely, if the appropriate discount rate is 9%? What if the appropriate discount rate is 7%? Question content area bottom Part 1 a. If the appropriate discount rate is 9%, the present value of the growing perpetuity is $ enter your response here . (Round to the nearest cent.)• model investment and annuity problems;• solve exercises applying concepts of the sum of sets of terms of a sequence, and• solve problems related to annuities using sequences or series. An annuity pays $15,000 per year. Due to inflation, each year a dollar is worth what $0.970 was worth the year before. Payment is made at the beginning of each year. What is the present value of the annuity if it is paid over three years (starting immediately)?5. Present value of annuities and annuity payments 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. An annuity that pays $500 at the beginning of every six months An annuity that pays $1,000 at the end of each year An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the beginning of each year You bought an annuity selling at $2,867.74 today that promises to make equal payments at the beginning of each year for the next twelve years (N). If the annuity's appropriate interest rate (1) remains at 9.50% during this time, then the value of the annual annuity payment (PMT) is $375.00 You just won the lottery. Congratulations! The jackpot is $35,000,000, paid in twelve equal annual payments. The first payment on the…
- 5. Present value of annuities and annuity payments 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. An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the beginning of each year An annuity that pays $1,000 at the end of each year An annuity that pays $500 at the beginning of every six months You bought an annuity selling at $17,390.08 today that promises to make equal payments at the beginning of each year for the next eight years (N). If the annuity’s appropriate interest rate (I) remains at 5.00% during this time, then the value of the annual annuity payment (PMT) is . You just won the lottery. Congratulations! The jackpot is $60,000,000, paid in eight…8. Present value of annuities and annuity payments 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. An annuity that pays $500 at the beginning of every six months An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the end of each year An annuity that pays $1,000 at the beginning of each year An ordinary annuity selling at $10,538.38 today promises to make equal payments at the end of each year for the next twelve years (N). If the annuity’s appropriate interest rate (I) 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 twelve equal annual payments. The…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 payı The first payment on the lottery jackpot will be made today. In present value terms, you really won -assuming…
- 8. Present value of annuities and annuity payments The present value of an annuity is the sum of the discounted value of all future cash flows. A. 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. An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the end of each year An annuity that pays $1,000 at the beginning of each year An annuity that pays $500 at the beginning of every six months B. An ordinary annuity selling at $2,514.15 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 (I) remains at 8.00% during this time, the annual annuity payment (PMT) will be . C. You just won the lottery. Congratulations! The jackpot is $10,000,000, paid in eight…8. Present value of annuities and annuity payments 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. An annuity that pays $1,000 at the end of each year An annuity that pays $1,000 at the beginning of each year An annuity that pays $500 at the end of every six months An annuity that pays $500 at the beginning of every six months You bought an annuity selling at $14,112.74 today that promises to make equal payments at the beginning of each year for the next twelve years (N). If the annuity's appropriate interest rate (1) remains at 11.00% during this time, then the value of the annual annuity payment (PMT) is You just won the lottery. Congratulations! The jackpot is $35,000,000, paid in twelve equal annual payments. The first payment on the lottery…contract would you prefer? 4. What are the present values of the following cash flows? A. $1,000 to be received in 8 years if the discount rate is 5 percent. B. $35 a year for 7 years compounded annually at 7 percent. C. a $100 perpetuity discounted at 9 percent.