Not enough information for a good answer here.
With only two credit cards, your credit is probably not varied enough to qualify for a good home loan. Is there more credit history here? What is the current credit score? If not, an auto loan may be a good idea to get more variety in the credit score. In this case, I probably wouldn't try to buy a home until the auto loan was paid off.
How much will the house cost? To get the best rates and a conventional mortgage on the house, you should have 20% saved up for a downpayment on the home. So, if you are buying a $100,000 home and have $40k in available savings, you should be sure to have $20k available for the 20% downpayment on the home. That means you now have $20k left over for the car or whatever, so I guess if it had to be a $40k car you'd have to finance $20k of it.
Is this really a hypothetical, or a real scenerio you have?
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