Gross cap = sell price + fees + 1st payment
= 53,950.00 + 2,548.06 + 366.94
= 53,950.00 + 2,915.00
= 56,865.00
Cash at signing = MSD + fees + first payment
= 4,000.00 + 2,548.06 + 366.94
= 4,000 + 2,915.00
= 6,915.00
You may want to re-read my post above. The gross cap does capture the 1st payment but it is also included in the 6,915 that you’re paying upfront according to the lease contract. So, you’re paying it twice. Your adjusted cap cost should be 42,950 not 43,316.95 and, your payment should be
0.0011 x (42950 + 33134.55) + (42950 - 33134.55)/36 = 356.34
So, if you’re actually paying 6,915 upfront and 366.94 per month, you may want to re-think this. I’m okay with the 6,915 upfront. However, I’m NOT okay with 366.94 per month as that includes the amortization of the 1st payment. So, your payment of 366.94 is inflated. It should be 356.34 as calculated above.
Finally, you said…
“The 1st months is captured by the difference between the gross cap cost adds of 2915.01 and the cap cost reduction adds of 2548.06. The difference is exactly the monthly payment.”
This implies that the 1st payment IS included in the gross cap and, therefore, capitalized! Can you see that you contradicted yourself when you also said…
"Therefore the Gross Cap Cost (GCC){line 7} does not include 1st months payment capitalized"
Does this make sense to you now? Just trying to help you. I’m a former university math professor and an actuary and so, I know what I’m talking about unless there is something weird going on. Can’t imagine what that would be as I can only go by what I see in the lease contract.