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You win the lottery on July 1st, 2022! It is $1,000,000. But the thing is, they won't pay you that $1,000,000 all at once. They will pay you that money in ten equal annual installments of $100,000 each. The first payment will be on July 1st, 2022. This is not a risky investment. But still you prefer present to future. Your discount rate for these payments is 5 percent. What is the value of these payments to you on July 1st, 2022?
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- You just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $700, 000 per year. Thus, in one year you receive $1.70 million. In two years, you get $2.40 million, and so on. If the appropriate discount rate is 8.0 percent, what is the value of your winnings today? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e. g., 1,234,567.89.)You just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $580,000 per year. Thus, in one year, you receive $1.58 million. In two years you get $2.16 million, and so on. If the appropriate interest rate is 6.8 percent, what is the value of your winnings today? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.) present value is ?You just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $510,000 per year. Thus, in one year you receive $1.51 million. In two years, you get $2.02 million, and so on. If the appropriate discount rate is 6.1 percent, what is the value of your winnings today?
- You just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $450,000 per year. Thus, in one year, you can receive $1.45 million. In two years, you get $1.9 million, and so on. If the appropriate interest rate is 6.2 percent, what is the value of your winnings today? (Please also provide financial calculator calculations if possible)You just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $660,000 per year. Thus, in one year, you receive $1.66 million. In two years you get $2.32 million, and so on. If the appropriate interest rate is 7.6 percent, what is the value of your winnings today?You 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.
- 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 PleaseAssume 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?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?
- 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 thanksYou 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 that will pay you $10,000 immediately, plus $20,000 one year from now, $30,000 two years from now, $40,000 three years from now, and $75,000 four years from now. You’re curious about how much the lottery commission might offer you as an immediate lump sum instead. What is the minimum amount you should consider accepting today instead? Use a 5% annual discount rate. Please remember that we are ignoring taxation and other considerations and basing this only on the math itself.