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Advanced mortgage calculator…need help!

I am trying to figure out an amortization table for a mortgage that is being paid to 3 different people with 3 different terms. The same rate applies.

Here’s the situation:

1) One mortgage split 3 ways = $60,000 by 3 people, so $20,000 per
2) The term (number of years to pay off) = person A is 5 years, B is 7 years, and C is 10 years
3) The rate (interest) is 5.000%

This is pretty easy to figure out separately, but I need to split A’s payment between B and C after their mortgage is paid off. This will speed up the payment schedule since B and C will receive larger principal payments after 5 years.

That is my problem, how to calculate the P&I for B and C after the first 5 years with and additional amount added to the payments every month. Now, once B is paid off, then C will receive a large P&I payment since they will receive the payment A and B were getting all to themselves.

I am looking for a formula here, not long hand math. I can do that to figure it out, but I need a formula I can plug into some PHP code to make a little mortgage script.

I’m lost, any ideas? Do I need to explain anything else? What I wrote makes sense to me but you may be thinking, WTF is that!!

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PHP

1 Comments(s)

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@so_is_thisNov 01.2006 — What is it you're needing to know? I presume you don't expect to get a single formula which can include variable payment amounts into the calculation in order to obtain the ultimate payoff information. An iterative formula, on the other hand, could certainly take such things into consideration. Such an iterative formula would be the same thing one would use to generate an amortization schedule. Thus, running three side-by-side amortization calculations would allow for splitting a paid-off loan's payment amount into the other remaining loans. Thus, I see no reason why you can't just use the formulae you currently have -- just use them iteratively in order to come up with the desired information (see first sentence).
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