30 year vs 10 year Fixed Rate Mortgage
Let's say you're going to apply for a mortgage and two of your options are getting a 10 year, fixed rate mortgage or a 30 year, fixed rate mortgage. As is standard, you'll have a lower interest rate and lower payments (say 4.50% and 00/month) for the 30 year than you will for the 10 year (say 5.00% and 00/month). In both cases, you do not receive a penalty for early payments.
My question is, is there a reason you might choose the 10 year over the 30 year? It seems to me that you can choose the 30 year and pay it off as early as you can, while taking advantage of the lower interest rate and the lower monthly bill in the event you can't overpay that month. All things being equal, it seems to me the 30-year is always a better choice to me.
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I think your assumption is wrong, but your conclusion is correct.
Typically, shorter terms have lower interest rates (you assumed the inverse, which can happen but is uncommon), mostly because the shorter the term, the lower the risk is.
Another reason to pick the shorter term would be purely psychological - although you could simply overpay the longer term mortgage, most people struggle to stick with that. It is quite easy to find a reason every month to skip 'just one more month' and use the money for something else - and then end up with 29.5 years after all.
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