If it is compounded annually, then: F = P*(1 + i)^t {F is final value, P is present value, and i is interest rate, t is time}.
So if it triples, F/P = 3, and 12 years: t = 12, so we have 3 = (1 + i)^12, solve for i using logarithms (any base log will do, but I'll use base 10):
So a rate of 9.5873 % (compounded annually) will triple the investment in 12 years.
Approx 44.225 % The exact value is 100*[3^(1/3) - 1] %
(1+x)10 = 310 log(1+x) = log(3)log(1+x) = 0.1 log(3)(1+x) = 10[0.1 log(3)] = 1.116123x = .116123 = 11.61 percent
(1 + .07/4)4x = 3 4x log(1+.07/4) = log(3) x = 0.25 log(3)/log(1.0175) = 15.83 The amount of the original investment doesn't matter. At 7% compounded quarterly, the value passes triple the original amount with the interest payment at the end of the 16th year.
10 years. Compound interest would take 7 years.
y = ln(3)/ln(1.0575) = 19.65 years, approx.
Approx 44.225 % The exact value is 100*[3^(1/3) - 1] %
At 8% per month, compounded, it will take just 1.2 years. However, with monthly interest such that its annual compounded equivalent is 8% (roughly 0.64% each month), it will take 14.27 years.
9.2 yrs
3.73% would do it almost exactly: Where p is the original investment and i is the rate of interest: 3p = p((1 + i/100) to the power of 30) dividing by p gives ((1 + i/100) to the power 30) = 3 using logarithms (log 3)/30 = 1 + i/100 antilog (0.47712/30) = 1 + i/100 antilog 0.0159 = 1 + i/100 1.037299 = 1 + i/100 0.037299 = i/100 i = 3.7299 Later: I tested this on Excel with capital of 5000 and interest rate of 3.73% and after 30 years investment was worth 15000.35!
(1+x)10 = 310 log(1+x) = log(3)log(1+x) = 0.1 log(3)(1+x) = 10[0.1 log(3)] = 1.116123x = .116123 = 11.61 percent
(1 + .07/4)4x = 3 4x log(1+.07/4) = log(3) x = 0.25 log(3)/log(1.0175) = 15.83 The amount of the original investment doesn't matter. At 7% compounded quarterly, the value passes triple the original amount with the interest payment at the end of the 16th year.
20.00
stockholders with an interest in socially responsible investing
Solve the following equation: (1 + x/100)8 = 3. That is, your money increases by a certain factor each year; the factor is the capital plus the percentage rate (divided by 100), and if you multiply the factor by itself 8 times, you get a factor of 3. To start solving this, take the 8th. root left and right.
10 years. Compound interest would take 7 years.
yes depending on the interest rate and amount of monthly payment
It depends on the type of investment you are making. I typically invest in tax sales, I generally can triple my money with tax deeds in about 4 weeks, but it all depends on how much money you have as well. For example, if you have $300 I know of a county in Kansas that can make you $3,000, or 10x your investment, but I know of other investments that can make you from 5%-25% return on your money. If tax sales interests you, there is a website out there that I think can help, http://alltaxsales.com let me know if this helps. Thanks, The Pug