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22 May, 10:31

Pete Peterson is 66 years old and has just attended his retirement party. He has amassed $1.36 million in retirement savings. He and his spouse have figured out that during retirement they need to withdraw $100,000 at the end of each year from their retirement savings to maintain the standard of living that they would like to have.

1. If they can earn 4% interest on the unspent balance in their retirement account, how many years will it be before their retirement savings are exhausted?

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  1. 22 May, 10:51
    0
    17 years afters the 1st retirement.

    Explanation:

    Folowing the rule of 4% per year and substracting $100,000 every January 1st, Pete will be depleting his retirement fund in 17 years. The calculation is simple:

    Unspent balance Year 2: 1,360,000-100,000=1,260,000.

    Unspent balance Year 3: (1,260,000 * (1+0,04)) - 100,000=1,210,400.

    Unspent balance Year 4: (1,210,400 * (1+0,04)) - 100,000=1,158,816

    and so on until depletion
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