Leasing Formula

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I am working on an Amortized Loan Calculator to get the Monthly Payment that is being sold.

I know that the formula to calculate Amortized Rate is

P=A/{[(1+R)^N]-1}/[R(1+R)^N]

Where

  • A = is the total financed
  • R = Periodic Interest Rate - ((Rate / 100) / How often the loan interest compounds)
  • N = Term in Months
  • P = Payment

In my use case the interest will compound monthly so R will be ((Rate / 100) / 12)

But my problem is that I need to be able to factor in advanced payments into the loan.

For example, the lessee agrees to the loan, but will be making 2 payments (first and last) up front. So they would only be responsible for 58 months after that and the first payment would not be due until a month after the loan originates. So obviously this would factor out the interest and Amortization just a bit differently.

Any help or guidance is much appreciated!