tate Bank has the following year-end balance sheet (in millions):

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  1. State Bank has the following year-end balance sheet (in millions):

 

         Assets                                         Liabilities and Equity

Cash                         $10            Deposits                            $90

Loans                       $90            Equity                               $10

Total Assets        $100               Total Liabilities & Equity $100

 

The loans primarily are fixed-rate, medium-term loans, while the deposits are either short-term or variable-rate.  Rising interest rates have caused the failure of a key industrial company, and as a result, three percent of the loans are considered to be uncollectable and thus have no economic value.  One-third of these uncollectable loans will be charged off.  Further, the increase in interest rates has caused a 5 percent decrease in the market value of the remaining loans.  What is the impact on the balance sheet after the necessary adjustments are made according to?

 

  1. Book value accounting.
  2.          Market value accounting.
  3. What is the new market to book value ratio if State Bank has $1 million shares outstanding?
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  1. Book value accounting.

 

Under book value accounting, the only adjustment is to charge off 1 percent of the loans.  Thus the loan portfolio will decrease by $0.90 and a corresponding adjustment will occur in the equity account.  The new book value of equity will be $9.10.  We assume no tax affects since the tax rate is not given.

 

  1. Market value accounting.

 

Under market value accounting, the 3 percent decrease in loan value will be recognized, as will the 5 percent decrease in market value of the remaining loans.  Thus equity will decrease by 0.03 x $90 + 0.05 x $90(1 – 0.03) = $7.065.  The new market value of equity will be $2.935.

 

  1. What is the new market to book value ratio if State Bank has $1 million shares outstanding?

 

The new market to book value ratio is $2.935/$9.10 = 0.3225.

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