Monthly Mortgage Payments are directly impacted by the Interest Rates. It means the higher interest rate, the higher monthly mortgage payment (Principal + Interest) and vice versa. I have created the following Table, Called it Bahman’s Magic Square, that shows the monthly mortgage payments (P + I) for different interest rates and different loan amounts.

Each Column represents Interest Rate, 3.5% - 4.5% increased by 1/8%. e.g., 3.500%, 3.625%, etc.

Each Row represents the Loan Amount from $100,000 to $112,650 increased by 1.5%. e.g., $100,000, $101,500; etc.

Each Cell shows the Monthly Mortgage Payment for a given Loan amount and given Interest Rate. E.g., Monthly Payment for a loan of $100,000 and Interest Rate of 3.5% is $449.04, (Round-off $449), etc.

Interesting enough, you can see all left-to-right diagonal values (their color is the same) are the same or almost the same. Considering rounding off, they are all the same. e.g., The Monthly Mortgage payments for the following pair are the same ($100,000 and 4.5000%), ($101,500 and 4.375%), ($103,203 and 4.250%), ($104,568 and 4.125%), ($106,136 and 4.000%), ($107,728 and 3.875%), ($109,344 and 3.75%), ($110,984 and 3.625%), ($112649 and 3.5000%).

All the same colored cells (left-to-right diagonal values) are the same or almost the same.

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