Suppose you want to realize a future value of $150,000 in 30 years on a investment you make. The average annual rate of return is 8.75%. What will the present value of your investment need to be?
Question:
Suppose you want to realize a future value of $150,000 in 30 years on a investment you make. The average annual rate of return is 8.75%. What will the present value of your investment need to be?
Answers (1)
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Answers (1)
SammieApril 7, 2023 в 12:47
The present value of the investment needed to achieve a future value of $150,000 in 30 years, given an average annual rate of return of 8.75%, can be calculated using the formula for present value of a future lump sum:
PV = FV / (1 + r)^n
Where:
PV = present value of the investment
FV = future value of the investment
r = average annual rate of return (as decimal)
n = number of years
Plugging in the values, we get:
PV = 150,000 / (1 + 0.0875)^30
PV = 150,000 / 18.102
PV = $8,276.46
Therefore, the present value of the investment needed to achieve a future value of $150,000 in 30 years with an average annual rate of return of 8.75% is $8,276.46.
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