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Consider a mutual fund that manages a portfolio of securities worth 120 million. Suppose the fund owes 4 million to its investment advisers and another $1 million for rent, wages due, and miscellaneous expenses. The fund has outstanding 5 million shares.

Business/Management

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\23$

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Here's the solution for Question 4.

Question 4: Consider a mutual fund that manages a portfolio of securities worth $120 million. Suppose the fund owes $4 million to its investment advisers and another $1 million for rent, wages due, and miscellaneous expenses. The fund has outstanding 5 million shares.

  1. Calculate the total assets of the mutual fund.

    The total assets are the value of the securities managed by the fund. Total Assets=$120,000,000\text{Total Assets} = \$120,000,000

  2. Calculate the total liabilities of the mutual fund.

    The total liabilities are the sum of all amounts the fund owes. Total Liabilities=$4,000,000 (advisers)+$1,000,000 (rent, wages, etc.)=$5,000,000\text{Total Liabilities} = \$4,000,000 \text{ (advisers)} + \$1,000,000 \text{ (rent, wages, etc.)} = \$5,000,000

  3. Calculate the Net Asset Value (NAV) of the fund.

    NAV is calculated by subtracting total liabilities from total assets. NAV=Total Assets−Total Liabilities=$120,000,000−$5,000,000=$115,000,000\text{NAV} = \text{Total Assets} - \text{Total Liabilities} = \$120,000,000 - \$5,000,000 = \$115,000,000

  4. Calculate the Net Asset Value (NAV) per share.

    NAV per share is the NAV divided by the number of outstanding shares. NAV per share=NAVNumber of Outstanding Shares=$115,000,0005,000,000 shares=$23 per share\text{NAV per share} = \frac{\text{NAV}}{\text{Number of Outstanding Shares}} = \frac{\$115,000,000}{5,000,000 \text{ shares}} = \$23 \text{ per share}

    The Net Asset Value (NAV) per share is \boxed{\23}$.

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