2. Loan Amortization (15 Points). Natalie wants to buy a house worth $400.000. To do so, she tales out a mortgage loan equal to the price of the house. The inorge has to be repaid after 20 years sed make semiannual (every 6 months) payments with an APR of 10%. Given this information, answer the following (A) 5 points. Draw the timeline that describes all cash flow (paid and received) throughout the duration of the loan. On the timeline, you must also indicate what is the last period/payment! Denote the period cash flow payments C. (b) 5 points. How can Natalie calculate what is the payment she has to make on that loan? (Write down the form in together with all information necessary to calculate the payment. The final expression should have C on the left side and all other information on the right side of the equation) (e) 5 points. After 17 years of paying off the mortgage, Natalie has accumulated enough savings to pay off the remainder of her loan. How much does Natalie still owe on her mortue 17 years after she first started making payments? The payment is $23,311.26 (NOTE: You only need to write down the formula that would calculate the value of the remainder of the loan)