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you need 1 $ in Principal and interest in the future at the end of the loan.
you need to save money every month - to accumulate to that 1$ at the end of the loan.

that's what the Sinking Fund is calculating.

If you had the level Payment for the Mortgage -> Level Payment * 12 / Loan Amount will give you the same number as

sinking Fund Factor * 12 (Monthly converted to Annual) + Interest rate on Loan

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