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- A lottery claims its grand prize is $15 million, payableover five years at $3,000,000 per year. If the firstpayment is made immediately, what is this grand prizereally worth? Use an interest rate of 7%16. A lottery claims its grand prize is $10 million, payable over 5 years at $2,000,000 per year. If the first payment is made immediately, what is this grand prize really worth? Use an interest rate of 6%.A $1,000,000 lottery prize pays $50,000 per year for the next 20 years. If the current rate of return is 3.75%, what is the present value of this prize? (Assume the lottery pays out as an ordinary annuity. Round your answer to the nearest cent.)$
- Winners of the PowerState Lottery can take $30 million now or payments of $2.5 million per year for the next 15 years. These are equivalent at what annual interest rate? The answer is closest to what value? (a) 1% (b) 2% (c) 3% (d) 5%The $37.7 million lottery payment that you just won actually pays $2.9 million per year for 13 years. If the discount rate is 8.00% and the first payment comes in 1 year. a. What is the present value of the winnings? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.) Present value $ million b. What is the present value of the winnings, if the first payment comes immediately? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.) Present value $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 milion
- The $9.4M lottery that you just won actually pays ($9.4M divided by 40) per year for 40 years. If the discount rate is 8 percent, and the first payment comes in 1 year, what is the present value of the winnings?A lottery offers you a choice of $1,000,000 per year for 30 years or a lump-sum payment. What lump-sum payment (rounded to the nearest dollar) would equal the annual payments if the current interest rate is 1.9% compounded annually? (a) State the type. A. amortization B. present value of an ordinary annuity C. future value of an ordinary annuity D.sinking fund E. none of these (b) Answer the question. (Round your answer to the nearest dollar.)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?
- Find the future value if $7000 is invested for 6 years at 11% compounded annually. (Round your answer to the nearest cent.) $ Need Help? DETAILS MY NOTES What is the future value if $8200 is invested for 15 years at 10% compounded semiannually? (Round your answer to the nearest cent.) Need Help? Read It ASK WSuppose you just won the state lottery, and you have a choice between receiving $2,550,000 today or $270,000 a year for 18 years, with the first payment starting one year from today. What annual interest rate does the second choice provide? 6.75% 7.49% 7.89% 6.28%What's the future value of $15,000 after 11 years if the appropriate interest rate is 10.75%, compounded annually?Round your answer to two decimal places. For example, if your answer is $345.667 enter as 345.67 and if your answer is .05718 or 5.718% enter as 5.72 in the answer box provided. A. $54,419.48 B. $53,497.11 C. $38,278.11 D. $42,889.93 E. $46,118.20