Alpha Limited has issued 5 million shares, the shares trade at R19 per share on the Johannesburg Securities Exchange (JSE). The firm’s assets amount to R85 million and total liabilities to R1.5 million. The firm has a net asset value (NAV) of … and trades at a premium closest to … against the NAV.Select one:a.R17.03 18.5%b.R16.70 13.8%c.R16.70 18.5%d.R17.03 13.8%
Question
Alpha Limited has issued 5 million shares, the shares trade at R19 per share on the Johannesburg Securities Exchange (JSE). The firm’s assets amount to R85 million and total liabilities to R1.5 million. The firm has a net asset value (NAV) of … and trades at a premium closest to … against the NAV.Select one:a.R17.03 18.5%b.R16.70 13.8%c.R16.70 18.5%d.R17.03 13.8%
Solution
First, let's calculate the Net Asset Value (NAV). The NAV is calculated as the total assets minus total liabilities.
Total Assets = R85 million Total Liabilities = R1.5 million
So, NAV = Total Assets - Total Liabilities = R85 million - R1.5 million = R83.5 million
The NAV per share is then calculated by dividing the NAV by the total number of shares.
NAV per share = NAV / Total number of shares = R83.5 million / 5 million shares = R16.70 per share
Next, let's calculate the premium. The premium is calculated as the difference between the market price and the NAV per share, divided by the NAV per share, and then multiplied by 100 to get a percentage.
Premium = [(Market Price - NAV per share) / NAV per share] * 100
Market Price = R19 per share
So, Premium = [(R19 - R16.70) / R16.70] * 100 = 13.77%
So, the firm has a net asset value (NAV) of R16.70 and trades at a premium closest to 13.8% against the NAV.
Therefore, the correct answer is:
d. R16.70 13.8%
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