Please Show Work!

Problem 11: You just took a 30-year mortgage with 0.3% monthly interest rate. If you make an extra payment of $10,000 exactly 120 months from now (i.e., with your regular 120th payment), how this payment will affect your outstanding balance exactly 168 months from now (i.e., right after your 168th payment)? Assume that you will still have a non-zero balance by that date. Round your answer to the nearest cent. Problem 12: The bank offered you a mortgage with 6% APR compounded semi-annually. What will be your monthly interest rate with monthly compounding? Keep at least 6 decimal digits. Problems 13-15 are based on the following information: You've just took a 25-year $400,000 mortgage with monthly interest rate of 0.4%. Based on this information, you found that your monthly payments are $2,291.99 Problem 13: How much of your THIRD monthly payment will go toward the interest payment? Round your answer to the nearest cent. Problem 14: When (i.e., how many months from now) your will repay half of your loan (i.e., your outstanding balance will be $200.000). Round your answer to the nearest months. Problem 15: If you pay extra $2000 each month for 3 years starting 5 years from now (i.e., pay extra $2000 in months 61, 62, ..., 86), how soon will you repay the mortgage (i.e., how many payments will it take to repay your mortgage). Note that if you computed non-integer number of months, you must round it up. For example, if your found N=251.3, the answer should be 252 months Bonus question (0.5 points): Given the information in the previous question, what will be the amount of your last payment? Round your answer to the nearest cent. Problem 11: You just took a 30-year mortgage with 0.3% monthly interest rate. If you make an extra payment of $10,000 exactly 120 months from now (i.e., with your regular 120th payment), how this payment will affect your outstanding balance exactly 168 months from now (i.e., right after your 168th payment)? Assume that you will still have a non-zero balance by that date. Round your answer to the nearest cent. Problem 12: The bank offered you a mortgage with 6% APR compounded semi-annually. What will be your monthly interest rate with monthly compounding? Keep at least 6 decimal digits. Problems 13-15 are based on the following information: You've just took a 25-year $400,000 mortgage with monthly interest rate of 0.4%. Based on this information, you found that your monthly payments are $2,291.99 Problem 13: How much of your THIRD monthly payment will go toward the interest payment? Round your answer to the nearest cent. Problem 14: When (i.e., how many months from now) your will repay half of your loan (i.e., your outstanding balance will be $200.000). Round your answer to the nearest months. Problem 15: If you pay extra $2000 each month for 3 years starting 5 years from now (i.e., pay extra $2000 in months 61, 62, ..., 86), how soon will you repay the mortgage (i.e., how many payments will it take to repay your mortgage). Note that if you computed non-integer number of months, you must round it up. For example, if your found N=251.3, the answer should be 252 months Bonus question (0.5 points): Given the information in the previous question, what will be the amount of your last payment? Round your answer to the nearest cent