However, with this scenario, it is as Pat said, your first mortgage payment will come up in only 30 days.
Per diem is easy to figure out - and is not truly a FEE - it is interest owed for the time you are in the home.
The adjustment is fair and equitable for Buyer and Seller.
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When you buy, you live in the property and than pay. In other words, if you settle on the 1st of April your 1st payment is on May 1 for the 30 days of April. If you close on the 15th of April, you'll pay the 15 remaining days of April at settlement and your 1st actual payment isn't until June1st.
The number you're seeing is the remaining days in the month you settle. The good news is you'll have 45 days until your 1st payment!
Best of luck! -Pat