QUESTION
You have just won the state lottery and have two choices for collecting your winning. You can collect $50,000 today or receive $10,100 per year for the next seven years. A financial analysts has told you that you can earn 10% on your investments. Which alternative should you select and why?
Solution: Option 1: Present Value of Amount = $50000 Option 2: Annual Amount = $10100 Time Period = 7 Years Interest Rate = 10% Present Value of Annuity = Annual Cash Flow*((1-1/(1+r)^n)/r)
= $10100*((1-1/(1+10%)^7)/10%) = $49171 Option 1 value is more than the Option 2 value. Therefore, Option 1 should be selected.
ANSWER:
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