math 2 questions need help

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At age 5, how much would you have to save per month to have $1 million in your account at age 65, if your investment rate was 10% per year? Assume no taxes and compounding on a monthly basis.

$213.30
$21.23
$274.60
can't be done with these assumptions.


After 20 years, 100 shares of stock originally purchased for $1000 was sold for $5,000. What was the yield on the investment? Choose the closest answer.
19%
5%
12.7%
8%

  • math (#2 of 2) -

    Let x be the average yield, expressed as a decimal.

    (1+x)^20 = 5000/1000 = 5
    log 5 = 20 log(1+x)
    log (1+x) = 0.0349585
    1+x = 1.0837
    x = 8.4%
    8% is the closest answer

  • math 2 questions need help -

    R = Si/[(1+i)^n - 1] where R = the monthly deposit, i = the periodic decimal interest rate, and n = the number of deposits.
    R = 1,000,000
    i = 10/100(12) = .008333
    n = 60(12) = 720

    R = 1,000,000(.008333)/[1.008333^720)-1]
    R = 8333.333/(393.428 - 1)
    R = $21.24

    Check:

    S = [1.008333^720 - 1]/.008333 = $1,000,262.

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