Joel received a 15 year loan of \\( \\$ 225,000 \\) to purchase a house. The interest rate on the loan was \5.40 compounded monthly. a. What is the size of the monthly loan payment? \\( \\$ \\) Round to the nearest cent b. What is the principal balance of the loan at the end of 3 years? \\( \\$ \\) Round to the nearest cent c. By how much will the amortization period shorten if Joel made an extra payment of \\( \\$ 53,000 \\) at the end of the year 3 ? years 1 months \\( \\mathrm{E} \\) Express the answer in years and months, rounded to the next month