Problem

Richman Bank,, N.A., has a portfolio of loans and securities expected to generate cash inf...

Richman Bank,, N.A., has a portfolio of loans and securities expected to generate cash inflows for the bank as follows:

Expected Cash Inflows of

Principal & Interest

Payments

Annual Period in Which Cash Receipts Are

Expected

 

$1,500,675

                         Current year

746,872

                         Two years from today

341,555

                         Three years from today

62,482

                         Four years from today

9,871

                         Five years from today

Deposits and money market borrowings are expected to require the following cash outflows:

Expected Cash Outflows of

Principal $ Interest Payments

Annual Period during Which Payments

must be Made

 

$1,595,786

                         Current year

831,454

                         Two years from today

123,897

                         Three years from today

1,005

                         Four years from today

-----

                         Five years from today

If the discount rate applicable to the previous cash flows is 5 percent, what is the duration of the Richman’s portfolio of earning assets and of its deposits and money market borrowings?  What will happen to the bank's total returns, assuming all other factors are held constant, if interest rates rise? If interest rates fall?  Given the size of the duration gap you have calculated, in what type of hedging should Richman engage?  Please be specific about the hedging transactions that are needed and their expected effects.

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