Question

In: Finance

You recently won $80 million in lottery. You will receive 20 payments of $4 million per...

You recently won $80 million in lottery. You will receive 20 payments of $4 million per year (starting from today). If the interest rate is 6.5%, what is your lottery payment worth today?

Solutions

Expert Solution

year Cash flow PVIF @ 6.5% present value
1 4 1 $                 4.00
2 4 0.938967136 $                 3.76
3 4 0.881659283 $                 3.53
4 4 0.827849092 $                 3.31
5 4 0.777323091 $                 3.11
6 4 0.729880837 $                 2.92
7 4 0.685334119 $                 2.74
8 4 0.643506215 $                 2.57
9 4 0.604231188 $                 2.42
10 4 0.567353228 $                 2.27
11 4 0.532726036 $                 2.13
12 4 0.50021224 $                 2.00
13 4 0.469682854 $                 1.88
14 4 0.441016765 $                 1.76
15 4 0.414100249 $                 1.66
16 4 0.388826524 $                 1.56
17 4 0.365095328 $                 1.46
18 4 0.342812515 $                 1.37
19 4 0.321889685 $                 1.29
20 4 0.302243836 $                 1.21
$               46.94
Payment worth today = $               46.94

Related Solutions

You just won the TVM Lottery. You will receive $80 million today plus another 20 annual...
You just won the TVM Lottery. You will receive $80 million today plus another 20 annual payments that increase by $4,000,000 per year. starting from this year. If the appropriate interest rate is 6.5 percent, what is the value of your winnings today?
You have just won $1,000,000 in the Tennessee Lottery. You will receive payments of $40,000 per...
You have just won $1,000,000 in the Tennessee Lottery. You will receive payments of $40,000 per year (at the end of each year) for the next 25 years. If the discount rate is 8 percent, what are your winnings worth today? How would I input this information using a financial calculator?
Congratulations! You have just won $1,000,000 in the New York Lottery. You will receive payments of...
Congratulations! You have just won $1,000,000 in the New York Lottery. You will receive payments of $40,000 per year (at the end of each year) for the next 25 years. If the discount rate is 14 percent, what are your winnings worth today?
You have just won the lottery and will receive a lump sum payment of $22.53 million...
You have just won the lottery and will receive a lump sum payment of $22.53 million after taxes. Instead of immediately spending your money, you plan to deposit all of the money into an account that will earn 4.81 percent. If you make equal annual withdrawals for the next 25 years, how much can you withdraw each year starting exactly one year from now? Fancy Cat Products has a project that will cost $250,100 today and will generate monthly cash...
1. You have won the lottery and will receive $20,000 each year for the next 20...
1. You have won the lottery and will receive $20,000 each year for the next 20 years! A financial services company has offered you an upfront payment of $200,000 for the entire income stream. If you estimate the time value of money for you is 5%, would you accept the offer? Explain. 2. A family spends $45,000 on living expenses. If inflation averages 3% over the next 5 years, how much would the family need to spend after 5 years...
9. You have won the lottery and will receive $20,000 each year for the next 20...
9. You have won the lottery and will receive $20,000 each year for the next 20 years! A financial services company has offered you an upfront payment of $200,000 for the entire income stream. If you estimate the time value of money for you is 5%, would you accept the offer? Explain.
Recently, a lucky person won the lottery. The lottery winnings were reported to be $85.5 million....
Recently, a lucky person won the lottery. The lottery winnings were reported to be $85.5 million. In reality, the winner got a choice of $2.85 million per year for 30 years or $46 million today. a) Explain briefly why winning $2.85 million per year for 30 years is not equivalent to winning $85.5 million. You may use simple calculations (with assumptions such as an interest rate of 3% p.a.) to explain your answer. b) The evening news interviewed a group...
Rita Gonzales won the $65 million lottery. She is to receive $3 million a year for...
Rita Gonzales won the $65 million lottery. She is to receive $3 million a year for the next 20 years plus an additional lump sum payment of $5 million after 20 years. The discount rate is 6 percent. What is the current value of her winnings? Use Appendix B and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods.(Do not round intermediate calculations. Round your final answer to 2 decimal places.)
Rita Gonzales won the $38 million lottery. She is to receive $1.1 million a year for...
Rita Gonzales won the $38 million lottery. She is to receive $1.1 million a year for the next 25 years plus an additional lump sum payment of $10.5 million after 25 years. The discount rate is 12 percent. What is the current value of her winnings?
Rita Gonzales won the $62 million lottery. She is to receive $1.9 million a year for...
Rita Gonzales won the $62 million lottery. She is to receive $1.9 million a year for the next 25 years plus an additional lump sum payment of $14.5 million after 25 years. The discount rate is 13 percent. What is the current value of her winnings? Use Appendix B and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods.(Do not round intermediate calculations. Round your final answer to 2 decimal places.)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT