Congratulations, you just won the lottery! As the winner, you will receive payments of $2 million at the beginning of every year over the next 10years. The first payment will be paid out already today. What is the present value of your lottery winnings? Assume an interest rate of 5% per year. Answer in millions of dollars with 2 decimals (for example, if your answer is 12, 160, 000 enter 12.16).
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- You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityYou just won the lottery, which promises you $440,000 per year for the next 20 years. You receive the first payment today (hint: annuity due). If your discount rate is 9.00%, what is the present value of your winnings?Assume you have just found out you are entitled to receive $102,000 in 19 years. If the interest rate is 18 percent, what should you be willing to take today in exchange for the future payment? (Enter your answer as a positive number rounded to 2 decimal places.)
- 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)The prize in last week’s lottery was estimated to be worth $90 million. If you were lucky enough to win, the payment will be $3.6 million per year over the next 25 years. Assume that the first installment is received immediately. If interest rates are 6%, what is the present value of the prize? If interest rates are 6%, what is the future value after 25 years? How would your answers change if the payments were received at the end of each year? How would your answers change if the interest rate was higher?Congratulations! You have just won a $40 million lottery and have elected to receive $2 million per year for 20 years. Assume a 4% interest rate is used to evaluate the annuity and that you receive each payment at the beginning of each year. a. What is the present value of the lottery? b. How much interest is earned on the percent value to make $2 million per-year payment?
- You just won a $625,000 lottery prize! You will receive $25,000 per year for the next 25 years, starting today, a total of $625,000. If the current interest rate is 1.9% compounded annually, what is the cash value of this prize?The $45 million lottery prize that you have just won actually pays out $4.5 million a year for 20 years. The interest rate is 12.0%. a. If the first payment comes after 1 year, what is the present value of your winnings? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. b. What is the present value if the first payment comes immediately? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places. a. Present value b. Present value milion milionyou 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 thanks
- 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 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 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? (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 : $ 22,656,191.50Suppose a lottery payout is $100,000 per year for the next ten years. If the annual interest rate is 5%, how much is this lottery prize worth today?