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A company takes out a four-year, $800,000 mortgage on May 1. The interest rate on the loan is 5% per year, and blended payments of

A company takes out a four-year, $800,000 mortgage on May 1. The interest rate on the loan is 5% per year, and blended payments of $18,423 (including both interest and principal) are to be made at the end of each month. The following is an extract from the loan amortization table the bank provided the company:

Beginning Loan Balance Payment Interest Principal Ending Loan Balance
Payment 1 $800,000 $18,423 $3,333 $15,090 $784,910
Payment 2 784,910 18,423 3,270 15,153 769,757
Payment 3 769,757 18,423 3,207 15,216 754,541
Payment 4 754,541 18,423 3,143 15,280 739,261

Q: (a) The monthly payments will be the same amount each month, throughout the entire term of the loan. From the loan amortization table, we can see that the portion of the payment related to interest is decreasing each payment. Prepare a brief explanation for why this is happening.

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