Bill Swill decides to try his luck at Powerball where the projected winnings are $12,000,000. If he wins, he can choose the annuity option (to be paid over 20 years) or a lump sum settlement that he can invest at 8% interest. How much must the lump sum option be to make the lump sum option equal to the annuity option (rounded)? a. $2,574,578 b. $1,743,620 c. $1,130,668 d. $1,200,000
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- Jack just discovered that he holds the winning ticket for the $87 million "mega" lottery. Now he must decide which alternative to choose: (a) a $44 million lump-sum payment today or (b) a payment of $2.9 million per yer for 30 years. With Option (b) the first payment will be made today. If Jack's opportunity cost is 5 percent, what is the present value of Option (b)? (Use the following format for your answer - xx,xxx,xxx)Assume you win a lottery, and you are offered the following stream of payments by the lottery commission: $25,000 today, $32,000 one year from now, another $32,000 two years from now, and a final payment of $55,000 three years from now. You accept the offer. If you invest all of these proceeds at 6% compounded annually and extract nothing from the investment, how much will you have at the end of the fourth year? (RESOURCE: Timing of Cash Flows) NOTE: You can use this equation FV=PV x (1+i)^n or in excel you can use =FV(RATE, NPER(1), 0, AMOUNT(1)), FV=(RATE, NPER(2),0,AMOUNT(2)...... Then add the totals of each rowYour best friend has asked to assist him in making the best investment out of the following options. Which would you advise him to choose and why? Show your workings to justify your response. Option 1: $12,000 in 5 years’ time at 6 percent interest.Option 2: $15,000 in 2 years’ time at 9 percent interest.Option 3: $15,000 today. No strings attached.Option4: $5,000 each year for 2 years at 7 percent interest compounded semi-annually.
- The Perpetual Life Insurance Co. is trying to sell you an investment policy that will pay you and your heirs $15,000 per year forever. If the required return on this investment is 8 percent, how much will you pay for the policy? Suppose the Perpetual Life Insurance Co. told you the policy costs $195,000. At what interest rate would this be a fair deal? Please do not answer in handwritten..thankuIf you were the $10,000,000 winner of the Mega-Millions Lottery, which payout option would be the smartest to take financially if you believe you can earn 5.2% annually on an investment? Option A: $333,333.33 every year for 30 years. Option B: $10,000,000 lump sum nowThe Maybe Pay Life Insurance Company is trying to sell you an investment policy that will pay you and your heirs $30,000 per year forever. If the required return on this investment is 5.6 percent, how much will you pay for the policy? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Present value
- Assume you win a lottery, and you are offered the following stream of payments by the lottery commission: $25,000 today, $32,000 one year from now, another $32,000 two years from now, and a final payment of $55,000 three years from now. You accept the offer. If you invest all of these proceeds at 6% compounded annually and extract nothing from the investment, how much will you have at the end of the fourth year? Excel Formula PleaseLarry's Life Insurance Co. is trying to sell you an investment policy that will pay you and your heirs $25,000 per year forever. Assume the required return on this investment is 7.9 percent. How much will you pay for the policy? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Policy value todayThe Maybe Pay Life Insurance Co. is trying to sell you an investment policy that will pay you and your heirs $36,000 per year forever. If the required return on this investment is 5.8 percent, how much will you pay for the policy? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
- Your grandfather would like to share some of his fortune with you. He offers to give you money under one of the following scenarios (you get to choose): 1. $8,750 a year at the end of each of the next seven years 2. $50,050 (lump sum) now 3. $98,650 (lump sum) seven years from now Calculate the present value of each scenario using a 6% interest rate. Which scenario yields the highest present value? Would your preference change if you used a 12% interest rate? (Click the icon to view the present value (Click the icon to view the present value annuity factor table.) factor table.) (Click the icon to view the future value annuity factor table.) factor table.) (Glick the icon to view the future value Using a 6% interest rate, calculate the present values for each scenario. (Round the amounts to the nearest dollar.) Present value of Scenario 1Your grandfather would like to share some of his fortune with you. He offers to give you money under one of the following scenarios (you get to choose): 1. $8,000 a year at the end of each of the next eight years 2. $50,250 (lump sum) now 3. $100,050 (lump sum) eight years from now Calculate the present value of each scenario using a 6% interest rate. Which scenario yields the highest present value? Would your preference change if you used a 12% interest rate? (Click the icon to view the present value annuity factor table.) (Click the icon to view the future value annuity factor table.) (Click the icon to view the present value factor table.) (Click the icon to view the future value factor table.) Using a 6% interest rate, calculate the present values for each scenario. (Round the amounts to the nearest dollar.) Present value of Scenario 1Assume you win a lottery, and you are offered the following stream of payments by the lottery commission: $25,000 today, $32,000 one year from now, another $32,000 two years from now, and a final payment of $55,000 three years from now. You accept the offer. If you invest all of these proceeds at 6% compounded annually and extract nothing from the investment, how much will you have at the end of the fourth year?