Calculate the future value of an investment of $1,000, after 6 months, earning 6% APR, compounded monthly, by compounding manually. Solution A=P(1+r/n)^nt p= Principle value =$1000 r= rate in decimal =0.06 n =number of times that the interest compounded in one year = 12 t= The number of years the money borrowed or invested = 0.5 A=1000(1+0.06/12)^12*0.5 A=$1030.38.