I don't have time right now to provide much help, but I do something much
like this on occasions when making personal financial decisions. It's very
useful and helps significantly with the bank when explaining why you're
doing something outside of their general experience. Based on your brief
description I'd offer a few suggestions:

a. Consider using the present value of net worth as your optimization
objective. Minimizing tax and debt service implies that your investment
decision has already been made and its only a question of how to finance.

b. Develop plausible scenarios.  Looks like you have a nominal scenario in
mind.  What can go wrong and what would be your recourse?  You don't need a
lot of scenarios, just a few that representing downside risk such as
failure to realize the full income.

c. You'll need to model the before and after-tax value of the IRA.  Real
estate also provides some tax benefits if you can deduct interest payments
or shelter capital gains. You'll want to provide a common foundation for
comparing alternatives which circles back to point a above.

d. Include an extra cash flow in the model to maintain future financial
flexibility.  You'll want to retain some cash flow for the inevitable but
presently unknown extras that come with these kinds of investments.
Whatever you think you need consider doubling or tripling it.  Trust me on
that one.

Jeff


On Wed, Nov 14, 2012 at 6:02 PM, Reginald Beardsley <[email protected]>wrote:

> Can someone point me to information on how to setup the following
> optimization problem?  It seems to me a not unusual problem and there are a
> lot of smart people who follow this list.
>
> I'm interested in buying an income producing property.  I currently have
> the purchase price in an IRA from which I can withdraw money w/o penalty.
>  However, I will have to pay income tax on what I withdraw.
>
> An option would be to borrow money and then withdraw money from the IRA to
> pay off the loan.
>
> Given:
>
> current income
> rental income from acquired property
> tax rate schedule
> withdrawal rate
> interest rate
> repayment schedule
>
> Minimize:
>
> sum of tax & debt service
>
> Thanks,
> Reg
>
> _______________________________________________
> Help-glpk mailing list
> [email protected]
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>
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