Assume you won a million dollars in the Texas Lottery. You have two options: 1) collect $426,000 now or 2) receive $50,000 a year (end-of-year) for the next 20 years. Which option would you opt for assuming a 10% interest rate? Use an xcel formula to justify your choice.
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A: Working note:
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Present value: It states that that today's sum of capital is valued more than that of the same capital amount in the future.
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- You just won the Florida lottery. To receive your winnings, you must select ONE of the twofollowing choices:1. You can receive $1,000,000 a year at the end of each of the next 30 years.2. You can receive a one-time payment of $15,000,000 today.Assume that the current interest rate is 6%. Which option is most valuable?You are the lucky winner of the Ohio Lottery ! Congratulations. The Lottery tells you that you have won a $20,000,000 prize that will be paid in annual installments of $1,000,000 for 20 years. If interest rates on alternative investments in the market are 8%, what is the actual value (PV) of your prize? Round to the nearest 1,000, and show your work.You have just won the state lottery and have two choices for collecting your winnings. You can collect $105,000 today or receive $20,700 at the end of each year for the next seven years. A financial analyst has told you that you can earn 9 percent on your investments. Required: Calculate the present value of both the options (FV of $1, PV of $1, FVA of $1, and PVA of $1) Note: Use appropriate factor(s) from the tables provided. Which alternative should you select?
- 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 PleaseYou have just won 50 million in the lottery, payable in equal yearly installments over the next 20 years (first payment to be made immediately). Instead of taking the annual payments, you also have the option of receiving a lump sum amount immediately. If the interest rate is 6% per year, what is the minimum lump sum amount you would except in place for the payments? What if the interest rate is 10% per year? Please show the formula and answer.The winner of a lottery is given a choice of $1,000,000 cash today or $2,000,000 paid out as follows: $100,000 cash per year for 20 years with the first payment today and 19 subsequent annual payments thereafter. The inflation rate is expected to be constant at 4%/yr over the award period and the winner’s TVOM (real interest rate) is 3.5%/yr. Solve, a. Which choice is better for the winner? Neglect the effect of taxes, life span, and uncertainty. b. At what value of inflation are the two choices economically equivalent? c. What would you do if you do NOT neglect the effect of life span and uncertainty?
- Just suppose your won a lottery of $1,000,000 and you have the option to receive it today or in 2 installments of $500,000 over the period of 2 years. Interest rate is 10%. Which option would you prefer and why?You have won a state lottery prize quoted as “$12 million dollar lottery”, what this really mean is that if you take the monthly payments of $50,000 for 20 years, you will have a total payout of $12 million. If the appropriate interest (discount) rate is 6.6% APR, what would be the cash payout on this lottery today?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?
- You have won the lottery, and you must choose between three award options. You can select one of the following options: To receive a lump sum today of $75 million, To receive 10 end-of-year payments of $12 million, to receive 30 end-of-year payments of $8 million. If you expect to earn 9% annually: What is the present value of alternative ii? What is the present value of alternative iii? Which one you must choose?If 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 nowAssume that you have just won the lottery. Lotto officials offered you the choice of two alternative payouts: ₱10,000,000 today; or ₱30,000,000 seven years from now. As a wise and financial literate individual, which payment will you choose if relevant interest rate is 10%? Explain your choice in not more than ten (10) sentences and support it with your computation.