Calculate the duration of the existing loan

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Problem: An Financial Insitution (FI) is planning the purchase of a $4 million loan to raise the existing average duration of its assets from 4.1 years to 5.6 years. It currently has total assets worth $20 million, i.e.; $4 million in cash (0 duration), and $16 million in loans. All the loans are fairly priced.

Required:

Question 1: Assuming the FI uses the cash to purchase the loan, calculate the duration of the existing loan.

Question 2: Assuming the FI uses the cash to purchase the loan and that the loan has a 7.6 year duration, calculate the resulting duration of the asset portfolio.

Question 3: Should the FI purchase the loan if its duration is 7.6 years?

Question 4: What asset duration loans should it purchase in order to raise its average duration to 5.6 years?

Reference no: EM132438395

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