The first responder posted this response:
$1,280.08
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The next responder posted this response:
Assuming the 5% interest rate is the nominal annual rate, the first step is to calculate the effective interest rate.
ieffective = (1+r/m)m - 1
where r is the nominal rate (.05) and m is the compounding periods per year (semiannual = 2 compoundings per year).
ieffective = (1+.05/2)2 - 1 = .0506
Simply use this effective rate to solve
Future Value = Present Value * (1+i)n
where i is the effective interest rate and n is the number of years.
F = 1000*(1+.0506)5 = $1280.08
1000 x (1.025)8 which is $1218.40.
$5,249.54
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
You should have 5976.51 provided the fractional units of interest earned are also rolled into the capital.
year
1000 x (1.025)8 which is $1218.40.
It is 1.135^2 - 1 = 28.8%
13.96%
$5,249.54
It is 20000*(1.07)^60 = 1158928.54
1200
It will be 726.
5000 x (1.03)10 = $6719.58
$1480.24
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
Semiannually over two years is equivalent to 4 periods. If the interest is 12% every 6 months, then the amount of interest is It is 8000*[(1.12)4 -1] =4588.15
800 x (1.04)6 ie Rs1012.26