Question

If you win the $1,000,000 lottery this weekend and request the cash value vs. the annual payout, what will you receive if todays interest rates are 5%? (Hint: lotteries always payout over 20 years) If you invest $1,000 per year for 20 years, how much will you have if you average 8% return?
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Answer #1

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

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