Your uncle has $1,015,000 and wants to retire. He expects to live for another 25 years, and he also expects to earn 7.5% on his invested funds. How much could he withdraw at the beginning of each of the next 25 years and end up with zero in the account?

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Answer:

If he withdraws $43,645 at the beginning of each year over the next 25 years, he will be left with zero in the account

Explanation:

First, let us calculate the total worth of the investment after 25 years, and it is calculated as:

Amount invested + Amount earned due to interest.

The interest is 7.5% of the invested amount = [tex]\frac{7.5}{100}[/tex] × [tex]\frac{1,015000}{1} = 76,125[/tex]

Therefore, after 25 years he will earn $76,125 on the original investment.

Hence,

Total worth of investment after 25 years = $76,125 + $1,015000 = $1,091,125.

Finally for there to be a zero balance in his account over the next 25 years, the total worth of the investment is equally spread over the next 25 years as:

$1,091,125 ÷ 25 = $43,645.