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- 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…For each of the following situations involving annuities, solve for the unknown (?). Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years) Present Value Annuity Amount i n1. ? $ 3,000 8% 52. $ 242,980 75,000 ? 43. 161,214 20,000 9 ?4. 500,000 80,518 ? 85. 250,000 ? 10 4 Sandy Kupchack just graduated from State University with a bachelor’s degree in history. During her four years at the university, Sandy accumulated $12,000 in student loans. She asks for your help in determining 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. 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*** This is the correct option**** An annuity that pays $500 at the beginning of every six months A. 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 . B. You just won the lottery. Congratulations! The jackpot is $10,000,000, paid in eight equal annual payments. The…
- Given the following information, calculate the rate of return. price = $501.88time to maturity = 10 yearsannual payment = $100type = ordinary annuityThe 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 end of every six months 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 $1,000 at the beginning of each year An ordinary annuity selling at $14,130.15 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 8.00% during this time, the annual annuity payment (PMT) will be You just won the lottery. Congratulations! The jackpot is $85,000,000, paid in twelve equal annual payments. The first payment on the lottery jackpot will be made today. In present value terms, you really won…The present value of an annuity stream of $100 per year is $920 when valued at a 10% rate. By approximately how much would the value change if these were annuities due? A. An increase of $10 B. An increase of $92 C. An increase of $100 D. Unknown without knowing number of payments
- What is the future value of a series of $4,500 annual payments received at the end of each of the next 6 years' worth if they are invested at an annual rate of return of 7%? Answer: The FV is $32,189.81 Question: Repeat above question for annuity due.If the present value of an annuity is 38888 dollars, r=3.4% and t=19 years. Assuming annual payments, what will be the cash flow (C)? Answer:Future Value of an Annuity Find the future value of the following annuities. The first payment in these annuities is made at the end of Year 1, so they are ordinary annuities. Round your answers to the nearest cent. $800 per year for 10 years at 8%. $400 per year for 5 years at 4%. $800 per year for 5 years at 0%. Now rework parts a, b, and c assuming that payments are made at the beginning of each year; that is, they are annuities due. $800 per year for 10 years at 8%. $400 per year for 5 years at 4%. $800 per year for 5 years at 0%.
- Future Value of an Annuity Calculate the future value. Present Value Interest Rate $0.00 10% monthly Payments $475.00 monthly Number of Payments per Year: PY= a. Determine the annuity type. O Ordinary Simple Annuity O Ordinary General Annuity O Simple Annuity Due O General Annuity Due b. Identify the following pieces of information to be used to calculate the future value of the annuity. Periodic Payment: PMT Total Number of Payments: N= Annual Interest Rate: r = Number of Compoundings per Year: CY c. Determine the future value of the annuity. Timing of Payment Years End 19 = Future Value ???(a)Calculate the present value of an annuityof £1000 paid at the endof each year for 15 yearswith an interest rate of 2.5% per annum equivalent. (b)How much more needs to be added to the fund to make this an annuity duewith the same value (c)The annuity is to be paid continuouslyat the rate of £1000 per annum. What is the present value now?Calculate the future value. Present Value Interest Rate $0.00 8% monthly Payments $500.00 monthly Timing of Payment Years End Future Value 24 ??? a. Determine the annuity type. Ordinary Simple Annuity Ordinary General Annuity O Simple Annuity Due General Annuity Due b. Identify the following pieces of information to be used to calculate the future value of the annuity. Periodic Payment: PMT = Number of Payments per Year: PY = Total Number of Payments: N = Annual Interest Rate: r = = Number of Compoundings per Year: CY = c. Determine the future value of the annuity.