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You win the lottery and must decide how to take the payout. Use a 10% discount rate. What is the present value of $19,000 a y
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Answer #1

Present value of an ordinary annuity

Here, we’ve Annual Payment (P) = $19,000 per year

Annual interest rate (r) = 10.00% per year

Number of years (n) = 5 Years

Therefore, the Present Value of an Ordinary Annuity = P x [{1 - (1 / (1 + r) n} / r]

= $19,000 x [{1 - (1 / (1 + 0.10)5} / 0.10]

= $19,000 x [{1 - (1 / 1.610510)} / 0.10]

= $19,000 x [{1 - 0.620921} / 0.10]

= $19,000 x [0.379079 / 0.10]

= $19,000 x 3.791

= $72,029

“Hence, the Present Value of the annuity will be $72,029”

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