value of money
posted by nmh on .
Find the compound amount if $6,400 is invested for 2 years at 12% compounded monthly. What difference would compounding daily make in this example?

Pt = Po(1+r)^n.
r = 12% /12mo = 1%/mo = 0.01 = MPR = Monthly percentage rate expresed as a decimal.
n = 12comp/yr * 2yrs = 24 compounding
periods.
Pt = $6400(1.01)^24 = 8126.30 When
compounded monthly.
Pt = Po(1+r)^n.
r = 12% / 365days = 0.03288% = 0.00032877 = MPR = Daily percentage
rate expressed as a decimal.
n=365 comp/yr * 2yrs = 730 compounding
periods.
Pt = $6400(1.00032877)^730 = 8135.69
When compounded daily.
Difference=8135.69  8126.30 = $9.39.