Ann found an apartment that costs $500,000. She has saved $100,000 for a down payment and will get a mortgage for $400,000. It will be a fully amortizing 30year fixed rate mortgage at 4% with monthly payments. The following 10 questions will use this information. a) What is Ann's Loan to Value ratio when she gets the loan? b) What will Ann's monthly mortgage payment be? c) What will be the balance on Ann's mortgage after the 7h monthly payment? d) How many dollars is Ann paying in interest in her 30th monthly mortgage payment? e) How much of Ann's 30h monthly mortgage payment will be principal? What is the total sum of all cash flows that Ann will pay the bank over the entire life of the loan? 9) Suppose the bank wants to sell Ann's mortgage after 10 years of payments and Ann has not prepaid. What is the market of the mortgage if rates stay the same h) Suppose the bank wants to sell Ann's mortgage after 10 years of payments and Ann has not prepaid. What is the market value of the mortgage if interest rates rise to 8%