Your capital in a poor savings account.
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The same as 2% per year. Per annum means per year.
After 5 years, 20000 at 7% per annum compounded semiannually will be 20000*(1 + 0.5*7/100)2*5 = 20000*(1.035)10 = 28211.98
30 per hundred, 2 x 30 = 60 m
If you start with an investment of I and the interest rate is r% per annum (compounded), then you want a solution to2I = I(1 + r/100)24or I = (1 + r/100)24That is ln(2) = 24*ln(1 + r/100)so that ln(1 + r/100) = ln(2)/24 = 0.02888or (1 + r/100) = exp(0.02888) = 1.0293and so r/100 = 0.0293 so that r = 2.93%If you start with an investment of I and the interest rate is r% per annum (compounded), then you want a solution to2I = I(1 + r/100)24or I = (1 + r/100)24That is ln(2) = 24*ln(1 + r/100)so that ln(1 + r/100) = ln(2)/24 = 0.02888or (1 + r/100) = exp(0.02888) = 1.0293and so r/100 = 0.0293 so that r = 2.93%If you start with an investment of I and the interest rate is r% per annum (compounded), then you want a solution to2I = I(1 + r/100)24or I = (1 + r/100)24That is ln(2) = 24*ln(1 + r/100)so that ln(1 + r/100) = ln(2)/24 = 0.02888or (1 + r/100) = exp(0.02888) = 1.0293and so r/100 = 0.0293 so that r = 2.93%If you start with an investment of I and the interest rate is r% per annum (compounded), then you want a solution to2I = I(1 + r/100)24or I = (1 + r/100)24That is ln(2) = 24*ln(1 + r/100)so that ln(1 + r/100) = ln(2)/24 = 0.02888or (1 + r/100) = exp(0.02888) = 1.0293and so r/100 = 0.0293 so that r = 2.93%
.2 or 20 %