You just won the Powerball and are offered two payment options: 1) Receiving $80 million per year for 25 years beginning at next
1 answer:
Answer: $80 million per year for 25 years
Explanation:
The option you should choose is one that will guarantee you the highest present value.
This means that you need to discount the annual payment of $80 million per year for 25 years to find the present value. As you did not include a rate, we shall assume a rate of 8% for reference purposes.
The annual payment is an annuity so the present value can be calculated by:
Present value of annuity = Annuity payment * Present value interest factor, rate, no. of years
= 80,000,000 * Present value interest factor, 8%, 25 years
= 80,000,000 * 10.6748
= $853,984,000
<em>The present value of the annual payment is more than the present value of the $850 million received today so the Annual payment should be taken. </em>
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