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A 50000$ mortgage is to be repaid by means of monthly payments, at the beginning of...

A 50000$ mortgage is to be repaid by means of monthly payments, at the beginning of each month, for 20 years. If the nominal interest rate is 12% convertible monthly,

(a) Find the monthly payment

(b) Suppose now an extra payment of 1000$ is made at the end of each year. Determine the monthly payment.

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