Wednesday, September 21, 2011

How To Solve For d, Payments Per Interval in Loan Amortization

Today in class we worked our way through using of a couple of familiar equations to derive the conventional loan payment equation. 

If we replace (P), the principal, on a loan with (A), the present value of an annuity or amount being amortized, then we know

A(1+i)^n = d [((1+i)^n - 1)/i]      which after algebra reflects   A = d[(1-(1+i)^-n)/i]

If you continue with algebra operations to solve for d using the above equation you get

d = Ai/(1-(1+i)^-n)

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