You win the $2 million Georgia lottery. They promise you a payout of $100,000 a year for 20 years. Knowing some finance you ask them for a lump sum payment today of $1.5 million instead of take $100,000 out of the lump sum of $1.5 million and invest the rest for 19 years at a rate of 5%. If you withdraw $100,000 a year out of this investment for the next 19 years, how much will y your idea a better way to take the payments? Explain your answer.
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- You just won the lottery and are offered the following payout: $1,000,000 immediately plus another 6 payments that increase by $500,000 per year. Thus in year one, you receive $1,500,000, etc. The EAR you expect to earn on reinvestment of your money is 8.5%. What is the minimum amount you should be willing to accept as a lump sum today rather than the payout over time?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 PleaseMitchell Investments has offered you the following investment opportunity: $7,000 at the end of each year for the first 7 years, plus $6,000 at the end of each year from years 8 through 14, plus $3,000 at the end of each year from years 15 through 21. Use Table II and Table IV or a financial calculator to answer the questions. Round your answers to the nearest dollar. How much would you be willing to pay for this investment if you required a 8 percent rate of return?$ If the payments were received at the beginning of each year, what would you be willing to pay for this investment?$
- you have just won the lottery and will receive $460,000 in one year. you will receive payments for 21 years, and the payments will increase 4 percent per year. if the appropriate discount rate is 11 percent, what is the present value of your winnings? Please explain how to solve using the financial calculator to show and explain steps thanksAssume 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 rowYou 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.
- You win a lottery payout of $10,000 a year for the next 30 years. If your investment rate is 8 percent, how much would an acceptable lump sum payment be?An investment will generate $9,000 a year for 20 years. If you can earn 9 percent on your funds and the investment costs $100,000, calculate the present value of investment. Use Appendix D to answer the question. Round your answer to the nearest dollar.$ Should you buy it?-Select-YesNoItem 2 Calculate the present value of investment, if you could earn only 5 percent. Use Appendix D to answer the question. Round your answer to the nearest dollar.$ Should you buy it in this case?-Select-YesNoAn investment will generate $12,000 a year for 30 years. If you can earn 12 percent on your funds and the investment costs $100,000, calculate the present value of investment. Use Appendix D to answer the question. Round your answer to the nearest dollar.$ Should you buy it?-Select-YesNoItem 2 Calculate the present value of investment, if you could earn only 9 percent. Use Appendix D to answer the question. Round your answer to the nearest dollar.$ Should you buy it in this case?
- Suppose that you won $3,000,000/- in a lottery. You are given the option to take $100,000/- at the end of each year for 30 years or take $1,500,000/- now. If your bank is giving 6% interest on investments. Calculate and decide which option you should takeYour dreams of becoming rich have just come true. You have won the State of Tranquility's Lottery. The State offers you two payment plans for the$4,000,000 advertised jackpot. You can take annual payments of $160,000 at the end of the year for the next 25 years or $1,864,573 today. b. If your investment rate over the next 25 years is 6%, what is the present value of the $160,000 annual payments today?Suppose that you have $16,000 to invest and you are trying to decide between investing in project A or project B. If you invest in project A, you will receive a payment of $19,000 at the end of 3 years. If you invest in project B, you will receive a payment of $48,000 at the end of 21 years. The annual interest rate is 5 percent and both projects carry no risk. Instructions: Round your answers to the nearest dollar. Do not round your intermediate calculations. a What is the present value of each project? Enter your answers in the table below. Project A Project B Present Value $ s b. Which project will you choose for your investment? O Project A O Project B