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jonny [76]
3 years ago
8

(a)  Bank of Marienfield started its first day of operations with $150 million in capital. It received a total of $100 million i

n checkable deposits, and borrowed $50 million from Bank of Empira. The bank makes a $150 million commercial loan and invests $120 million in shares and $20 million in Treasury bonds. Assume required reserves are 10% of deposits and all remaining assets (if any) are kept as excess reserves, write the balance sheet of Bank of Marienfield.

Business
1 answer:
Juliette [100K]3 years ago
3 0

Here, we are going to prepare the balance sheet of Bank of Marienfield using the information given in the question..

  • Formula for Total liabilities is <em>Capital + Checkable deposit + Loan from bank</em>

<u>Given Information</u>

Capital = $150 Million

Checkable deposit = $100 Million

Loan from bank= $50 Million

Total liabilities = $150 Million + $100 Million + $50 Million

Total liabilities = $300 Million

<u>Additional given Information</u>

Commercial loan = $150 Million

Investment in shares = $120 Million

Investment in Treasury bonds = $20 Million

Required reserve = Checkable deposit * Required reserve rate

Required reserve = $100 Million * 10%

Required reserve = $10 Million

Excess reserve = Total liabilities - (Commercial loan + Investment in shares + Investment in Treasury bonds + Required reserve)

Excess reserve = $300 Million - ($150 Million + $120 Million + $20 Million + $10 Million)

Excess reserve = $300 Million - $300 Million

Excess reserve = $0 Million

                                  Balance sheet of Bank of Marienfield.

Assets                           Amount        Liability                        Amount

Required reserves       $10 million     Bank capital              $150 million

Excess Reserve            $0                  Checkable deposit  $100 million

Commercial loan          $150 million   Loan from bank        $50 million

Investment in shares    $120 million

Invest. Treasury bond  <u>$20 million </u>                                      <u>                       </u>

Total                              <u>$300 million</u>  Total                          <u>$300 million</u>  

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An investment project has annual cash inflows of $4,300, $4,000, $5,200, and $4,400, for the next four years, respectively. The
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Answer:

1.64 years

2.27 years

3.13 years

Explanation:

Discounted payback calculates the amount of time it takes to recover the amount invested in a project from it cumulative discounted cash flows

Present value of cash flow in year 1 = 4300 / 1.13 = 3805.31

Amount recovered in year 1  = -5800 + 3805.31 = -1994.69

Present value of cash flow in year 2 = 4000 / (1.13^2) = 3132.59

Amount recovered in year 2 =-1994.69 + 3132.59 = 1137.90

Payback period = 1 + 1994.69/3132.59 = 1.64 years

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Present value of cash flow in year 1 = 4300 / 1.13 = 3805.31

Amount recovered in year 1  = -7900 + 3805.31 = -4094.69

Present value of cash flow in year 2 = 4000 / (1.13^2) = 3132.59

Amount recovered in year 2  = -4094.69 + 3132.59 = -962.10

Present value of cash flow in year 3 = 5200 / (1.13^3) = 3603.86

Amount recovered in year 3  = -962.10 + 3603.86 = 2641.76

Payback period = 2 years + -962.10 / 3603.86 = 2.27 years

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Present value of cash flow in year 1 = 4300 / 1.13 = 3805.31

Amount recovered in year 1  = -10900 + 3805.31 = -7094.69

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Amount recovered in year 2  = -7094.69 + 3132.59 = -3962.10

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Amount recovered in year 3  = -3962.10 + 3603.86 = -358.24

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Amount recovered in year 4  = -358.24 + 2698.60 = 2340.36

Payback period = 3 years + 358.24 + 2698.60 = 3.13 years

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