Under general ATR, ARMs are underwritten using the fully-indexed rate and use that rate to get a fully amortizing payment-1026.43(c)(5)
For a QM ARM you must underwrite using the maximum payment possible during the first five years after the date of the first payment.-1026.43(e)(2)(iv)
In both of these instances it is only a one time calculation.
In your example, for a QM, you don't consider the DTI at origination rather the max in five years which you are saying is 50%. In that case it would be over the QM limit of 43%
If you were using general ATR, the calculation would be different (fully indexed rate) so your DTI may be lower. Also, you can set your own DTI thresholds so 50% may be acceptable to your institution.
There are quite a few threads in the ATR/QM section that go through various scenarios showing what should be used to underwrite for different products.
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