A mortgage for a condominium had a principal balance of $43,300 that had to be amortized over the remaining period of 4 years. The interest rate was fixed at 3.82% compounded semi-annually and payments were made monthly.

a. Calculate the size of the payments, rounded up to the next whole number.

b. If the monthly payments were set at $1,124, by how much would the time period of the mortgage shorten?

c. If the monthly payments were set at $1,124, calculate the size of the final payment.