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    bullllmoony's Avatar
    bullllmoony Posts: 2, Reputation: 1
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    #1

    Jun 7, 2012, 12:04 PM
    Help with finance questions
    If an individual will retire in 17 years and currently have $300,000, and will need $1 million at retirement. What annual interest rate must that person earn to reach the goal? Round your answer to two decimal places.
    bullllmoony's Avatar
    bullllmoony Posts: 2, Reputation: 1
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    #2

    Jun 7, 2012, 12:11 PM
    Help with finance questions
    If money is deposited today in an account that pays 8.9% annual interest, how long will it take to double the money? Round the answer to the nearest whole number?

    With Thanks
    ArcSine's Avatar
    ArcSine Posts: 969, Reputation: 106
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    #3

    Jun 7, 2012, 03:35 PM
    If you let P denote the present amount; E the ending amount; r the annual interest rate; n the number of years; and make a simplifying assumption (probably intended in these questions) that earnings compound annually, then the equation



    solves both of your questions. In each of the two cases you're given 3 of the 4 variables, leaving you to solve for the fourth. In the first ques you're solving for r; in the second you're finding n.

    Hint: In the second question you're not explicitly given any particular P or E, but that's irrelevant; just let E be 2 and P be 1, or any combo of values in which E is double the amount of P.

    OK, that tees it up; now you step in to swat it out of the park.

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