1. answer is $1000000
here lumpsum is preferred compared to 20 annual payments. therefore, the total winning amount will be received at a time. as this amount is received today it will not be discounted.
2. answer is $45762
amount after 20 years = annuity * FVIFA @8% for 20 years = 1000*45.76196 = $45761.96
If you win the $1,000,000 lottery this weekend and request the cash value vs. the annual...
Attempts: Average: 3 3. Which lottery payout scheme is better? Suppose you win a small lottery and have the choice of two ways to be paid: You can accept the money in a lump sum or in a series of payments over time. If you pick the lump sum, you get $2,750 today. If you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. since that choice has...
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Find the cash value of the lottery jackpots given below. Yearly jackpot payments begin immediately. Assume the lottery can invest at the given interest rates. Jackpot Amount Interest Rate (%) Equal Annual Payments present value (in dollars 1,000,000 7 % 20 ------------ 1,000,000 12% 20 ---------------- 1,000,000 7% 25 ------------------- 1,000,000 12% 25 ---------------------- Round to the nearest dollar as needed
Find the cash value of the lottery jackpots given below. Yearly jackpot payments begin immediately. Assume the lottery can invest at the given interest rates. Jackpot Amount Interest Rate (%) Equal Annual Payments present value (in dollars 1,000,000 7 % 20 ------------pv 1,000,000 12% 20 ---------------pv 1,000,000 7% 25 -------------------pv 1,000,000 12% 25 ----------------------pv Round to the nearest dollar as needed
Suppose you have just won a $5 million lottery today. When you win the lottery, you generally receive payments of the lottery jackpot over twenty years. Therefore, your $5 million lottery winnings consist of twenty annual payments of $250,000 each. But wait! Don’t forget about the taxes. The IRS will take 25 percent of each check, so you are left with $187,500 each year. Assume that the annual interest rate is 3%. So, if someone offered you a lump-sum of...
Suppose you have just won a $5 million lottery today. When you win the lottery, you generally receive payments of the lottery jackpot over twenty years. Therefore, your $5 million lottery winnings consist of twenty annual payments of $250,000 each. But wait! Don’t forget about the taxes. The IRS will take 25 percent of each check, so you are left with $187,500 each year. Assume that the annual interest rate is 3%. So, if someone offered you a lump-sum of...
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Congratulations, you have just won $10,000,000 in the Power Ball Lottery. However, as is often the custom with lotteries, you have the following choices: Alternative A: taking the entire ten million dollars in one lump sum today Alternative B: receiving $500,000 at the end of the year for each of the next 20 years. Please send your computed answers base on both alternatives to me along with your reasoning why you choose either alternative A or alternative B. If the...