"Why would I want to convert my PTY LTD Company into a Close Corporation?"
  Several reasons might apply.
  Shareholder anonymity might not be an issue for you; you might be tired of paying audit fees; you may want to reduce admin costs; you may want to simplify your business structure; your personal financial risk may be reduced.
  There are pros and cons for everything in life, including PTY to CC conversions.
  If you would like to learn more about this, kindly make your request here.