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For a fixed-rate mortgage loan with initial balance MB0, monthly interest rate i, initial time to maturity n (in months), prove that its ending balance

For a fixed-rate mortgage loan with initial balance MB0, monthly interest rate i, initial time to maturity n (in months), prove that its ending balance of month t is:

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MR. (1+i) (1+i)' MB(1+i)"-1 MR. (1+i) (1+i)' MB(1+i)"-1

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