According to the policy of chegg, only up to 4 questions can be solved by helper. Though what I uploaded are two questions, there are 4 questions as a whole. Please do not omit any of questions I uploaded. Thank you so much

6. (15 points) You borrow $100,000 from the bank. This is a 10-year loan, 12% annual rate with monthly repayments. The repayment scheme implies fixed payments each year. (a) (7 points) What is your monthly payment? (b) (8 points) Suppose that you decide to fully repay loan after 3 years (right after your most recent payment). The bank charges a penalty of 3% of the loan value at that moment. How much do you need to pay the bank? 7. (10 points) You hold a preferred stock that promises $10 dividend each year for the next 5 years. After that, it will pay a constant annual dividend of $5 forever. The interest rate is 10%. (a) (7 points) What should be the price of this stock today (assume that the most recent dividend was paid yesterday). 2 (b) (3 points) How would your answer change if you buy the stock right before it pays its next dividend