The All-Star Basic Value Fund has approximately 14.67 million shares outstanding. This is calculated based on a portfolio value of $280 million, liabilities of $16 million, and a net asset value of $18 million.
To find the number of shares outstanding, you can use the formula for Net Asset Value (NAV) per share:
![\[ NAV \text{ per share} = \frac{\text{Portfolio Value} - \text{Liabilities}}{\text{Number of Shares Outstanding}} \]](https://img.qammunity.org/2024/formulas/business/high-school/zxivd1ov98w29c6xwcer9uu89rq6imn8sk.png)
- Portfolio Value = $280 million
- Liabilities = $16 million
- NAV = $18 million
Now, plug in the values and solve for the Number of Shares Outstanding:
![\[ 18,000,000 = \frac{(280,000,000 - 16,000,000)}{\text{Number of Shares Outstanding}} \]](https://img.qammunity.org/2024/formulas/business/high-school/b8la4qkse86rroq17z9niq14wr0lzmkj3b.png)
Solving for the Number of Shares Outstanding:
![\[ \text{Number of Shares Outstanding} = (264,000,000)/(18,000,000) \]\[ \text{Number of Shares Outstanding} \approx 14.67 \]](https://img.qammunity.org/2024/formulas/business/high-school/a99kfvs73b15jl2lm0o0a56bbsmung74h9.png)
Therefore, the fund's number of shares outstanding is approximately 14.67 million.