equation illustrates the relationship in between

Question

Equation illustrates the relationship in between PVA_n, A, K and n. So manipulating this a bit:

We find that

A = PVA_n [(k (1 + k)ⁿ)/((1 +k)ⁿ - 1)]

[(k (1 + k)ⁿ)/((1 +k)ⁿ - 1)] in equation 13 is inverse of PVIFA_k,n and is termed as the capital recovery factor.