Suppose a state lottery prize is to be paid in 25 payments of $360,000 each at the end of each of the next 25 years. (a) What is the total of all payments received (the advertised value of the lottery prize)? (b) Instead of receiving annual payments, the winner opts to receive a single payment today equal to the present value of the prize. Find the amount of today's payment if: (Round your answer to the nearest cent.) interest is 9% $ interest is 13% $

What is the present value of a perpetuity that pays $661 every year forever, if the interest rate is to be 2.25% (compounded). Answer to the nearest cent. A Moving to the next question prevents changes to this answer.

What is the future value of a 6%, 5-year ordinary annuity that pays $450 each year? Do not round intermediate calculations. Round your answer to the nearest cent.                                                                                                         If this were an annuity due, what would its future value be? Do not round intermediate calculations. Round your answer to the nearest cent

Suppose that Dmitri just won the lottery and must choose between three award options: 1. A lump sum of $40,000,000 received today 2. 15 end-of-year payments of $5,000,000 3. 40 end-of-year payments of $3,600,000 Assume the interest rate is 8.00%, entered as 8 on your financial calculator. Note: Take the absolute value of the present value when answering this question. Using a financial calculator yields a present value for option 2 of approximately and a present value for option 3 of approximately (when the interest rate is 8.00%). Based on this, Dmitri should choose option if he seeks to maximize present value. Now assume the interest rate is 9.00%, entered as 9 on your financial calculator. Note: Take the absolute value of the present value when answering this question. Using the table you just filled out and a financial calculator, yields a present value for option 2 of approximately and a present value for option 3 of approximately v (when the interest rate is 9.00%). Based on…

What is the future value of a 7%, 5-year ordinary annuity that pays $650 each year? Do not round intermediate calculations. Round your answer to the nearest cent. $   If this were an annuity due, what would its future value be? Do not round intermediate calculations. Round your answer to the nearest cent. $

It is the end of 2023. You (foolishly) played the lottery and won the following cash flows, to be paid at the end of each year: Year 2024 2025 2026 2027 2028 Cash flow 1,100 1,600 1,800 2,000 2,200 The appropriate interest rate is 13%. What is the sum of present values?

(Present value of an annuity due) Determine the present value of an annuity due of $5,000 per year for 8 years discounted back to the present at an annual rate of 14 percent. What would be the present value of this annuity due if it were discounted at an annual rate of 19 percent? a. If the annual discount rate is 14 percent, the present value of the annuity due is $ (Round to the nearest cent.)

You have an opportunity to buy a perpetuity that pays $400 a year forever starting a year from now for $1,500. What interest rate makes this a fair price? Instruction: Round to three decimal places. E.g., if your answer is 0.0106465 or 1.06465%, you should type ONLY the number .011, neither 0.0106465, 0.0106, nor 1.065. Otherwise, Blackboard will treat it as a wrong answer.

Suppose you just won the state lottery, and you have a choice between receiving $2,625,000 today or a 20-year annuity of $270,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes.   a. 7.83%     b. 10.29%     c. 8.13%     d. 12.04%     e. 9.38%