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You want to be able to withdraw $45,000 each year for 20 years. Your account earns 5% interest. How much do you need in your account at the beginning?

User Defozo
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4 votes

Answer:

To withdraw $45,000 each year for 20 years, you will need $675,521.48 in your account at the beginning.

To calculate this amount, we can use the formula for present value of a series of payments, which is:

PV = FV / (1 + r)^n

Where:

PV = present value (the amount you need in your account at the beginning)

FV = future value (the amount you will have after 20 years, which is $45,000 per year x 20 years = $900,000)

r = interest rate (5% in this case)

n = number of periods (20 years in this case)

Plugging in the values, we get:

PV = $900,000 / (1 + 0.05)^20

PV = $675,521.48

Therefore, you will need $675,521.48 in your account at the beginning to withdraw $45,000 each year for 20 years, earning a 5% interest rate.

Explanation:

User Stephane Duteriez
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