Question

In: Accounting

The balance sheet for Gotbucks Bank (GBI) is presented below: ( $ MM ):                  Assets            

  1. The balance sheet for Gotbucks Bank (GBI) is presented below: ( $ MM ):

                 Assets                                              Lib & Equity

    Cash                           30                   Core deposits                 20

     Loans (floating)       125                   EURO CDs                  180

     Loans Fixed               65                   Equity                            20

     Total assets              220                 TE + TL                        220  

Notes: the floating rare is LIBOR + 4%

            Current LIBOR = 11%

            Fixed rate loans 5 yr maturity   priced at par   coupon = 12%

           Core deposits   fixed rate at 8% paid annually

            Euros yields 9%

  1. What is the duration of the fixed rate loan portfolio of Gotbucks Bank?
  2. If the duration of the floating rate loans is 0.3 year, what is the duration of GBI assets?
  3. What is the duration of the core deposits if they are priced at par?
  4. If the duration of the Euro CDs is 0.401 year, what is the duration of GBI’s liabilities?
  5. What is GBI’s duration gap? What is its interest rate risk exposure?
  6. What is the impact on the market value of equity if the relative change in all market interest rate is an increase of 1%?
  7. What is the impact on the market value of equity if the relative change in all interest rates is a decrease of 0.5%?
  8. What variables are available to GBI to immunize the bank? How much would each variable need to change to get DGAP to equal to zero?

                             

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