What rate of interest compounded annually is required to double an investment in 13 years

What rate of interest compounded annually is required to double an investment in 13 years

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 what rate of interest compounded annually is required to double an investment in 3 years?

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What rate of interest compounded annually is required to double an investment in 13 years

what rate of interest compounded annually is required to double an investment in 3 years?

Guest Apr 9, 2015

0 users composing answers..

    Best Answer 

     #1

    What rate of interest compounded annually is required to double an investment in 13 years
    +124645 

    +5

    We have

    2A  =A(1 + r)^3     divide both sides by A

    2 = (1 + r)^3         take the log of both sides

    log 2  = log(1+ r)^3    and we can write

    log 2 =3log(1 + r)    divide both sides by 3

     (log2) /3  = log ( 1 + r)    in exponential form, we have

    10 ^[log2 ]/3 = 1 +  r    subtract 1 from both sides

    10 ^[log2 ]/3 - 1 = r =  about 25.9 %

    What rate of interest compounded annually is required to double an investment in 13 years
     
    What rate of interest compounded annually is required to double an investment in 13 years
     
    What rate of interest compounded annually is required to double an investment in 13 years

    CPhill Apr 9, 2015

    2+0 Answers

     #1

    What rate of interest compounded annually is required to double an investment in 13 years
    +124645 

    +5

    Best Answer

    We have

    2A  =A(1 + r)^3     divide both sides by A

    2 = (1 + r)^3         take the log of both sides

    log 2  = log(1+ r)^3    and we can write

    log 2 =3log(1 + r)    divide both sides by 3

     (log2) /3  = log ( 1 + r)    in exponential form, we have

    10 ^[log2 ]/3 = 1 +  r    subtract 1 from both sides

    10 ^[log2 ]/3 - 1 = r =  about 25.9 %

    What rate of interest compounded annually is required to double an investment in 13 years
     
    What rate of interest compounded annually is required to double an investment in 13 years
     
    What rate of interest compounded annually is required to double an investment in 13 years

    CPhill Apr 9, 2015

     #2

    What rate of interest compounded annually is required to double an investment in 13 years

    0

    It can be solved more easily.

    According to rule 72, the rate needed to double the investment is 72 / 3 = 24

    Guest Oct 30, 2016


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    What rate of interest compounded is required to double an investment in 12 years?

    For example, if the interest rate earned is 6%, it will take 12 years (72 divided by 6) for your money to double. If you want your money to double every 8 years, you will need to earn an interest rate of 9% (72 divided by 8).

    What annual rate of interest compounded annually is required to double an investment in 9 years?

    For example, if an investment scheme promises an 8% annual compounded rate of return, it will take approximately nine years (72 / 8 = 9) to double the invested money.

    How long will it take for an investment to double at 13 compounded monthly?

    1 Expert Answer 13 = 5.33 years and ln(2)/. 15 = 4.62 years. Why does this work? We know that the continuous compounding formula is A = Pe^(rt).

    What rate of interest compounded annually is required to triple an investment in 15 years?

    Thus, the interest rate should be 24.57%.