Assume that you are interested in understanding how much must be saved regularly over a period of time in order that at the ending of the period you have a particular amount. To answer such question here we manipulate the equation as
FVA_{n} = A[((1 + k)^{n} - 1)/k]
That demonstrates the relationship in between FVA_{n} , A, K and
A = [k/((1 + k)^{n} - 1)]FVA_{n} ^{ } ............................Eq(11)
Equation 11 assists in answering this question. The periodic deposit is easily A and is acquired by dividing FVA_{n} by FVIFA_{k,n}. In Eq 11[k/((1 + k)^{n} - 1)]^{ } is the inverse of FVIFA_{k,n} and is termed as the sinking fund factor.