An Fl is planning the purchase of a $3 million loan to raise the existing average duration of its assets from 5.0 years to 6.5 years. It currently has total assets worth $15 million, $3 mition in cash (0 duration), and $12 million in loans. All the loans are fairly priced. a-1. Assuming it uses the cash to purchase the loan, calculate the duration of the existing loan. (Round your answer to 3 decimal places. (e.g., 32.161)) 0.2 Assuming the F uses the cash to purchase the loan and that the loan has a 8.5 year duration, calculate the resuiting duration of the asset porffolio. (Do not round intermediate calculations. Round your answer to 3 decimal ploces. (e.g., 32161)) a-3. Should it purchase the loan if its duration is 8.5 years? b. What asset duration loans should it purchase in order to raise its average duration to 6.5 years? (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16))