Problem 9 (20pt) Mark each statement true (T) or false (F) (please give your calcu- lations and reasons in detail), and fill in the blanks in Part (e). (a) (4pt). The nominal interest rate will always be less than the effective interest rate when r = 10% and M = . (b) (4pt). A certain loan involves monthly repayments of $185 over a 24-month period. If r = 10% per year, more than half of the principal is still owed on this loan after the 10th monthly payment is made. (c) (4pt). $1,791 in 10 years is equivalent to $900 now if the nominal interest rate is 8% compounded semiannually. (d) (4pt). On a $200,000 mortgage, a half-point interest rate increase adds about $700 per year to 12 mortgage payments. (e) (4pt). Fill in the missing interest factor: i. (P/A, i%, N)(-) = (F/A, i%, N). ii. (A/G, i%, N)(P/A, i%, N) = (-).