How do escrow accounts affect mortgage payment?

Let s say I close on a house and at closing I paid 1 years worth of homeowners and 3 months worth of taxes.

And this is how the lender breaks down the monthly mortgage & insurance costs:

$800 Mortgage Loan
$200 Property Taxes
$50 Homeowners Insurance

Total Monthly Payment: $1050

Would I still be paying the full $1050 for the first 3 months of the loan, even though I already paid 3 months of Property Taxes upfront at closing? What about the homeowners? A whole year s worth was paid at closing.

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