How do you convert an RTF file to a PDF file using iTextSharp

Question

I have searched and I could not find an answer. For example, this doesn't work. My port:

static byte[] RtfToPdf(string rtf)
{
    byte[] pdf = null;

    using (var inputStream = GenerateStreamFromString(rtf))
    using (var outputStream = new MemoryStream())
    {
        var pdfDocument = new iTextSharpDocument();
        var pdfWriter = PdfWriter.GetInstance(pdfDocument, outputStream);

        pdfDocument.Open();

        RtfParser rtfParser = new RtfParser(null);

        rtfParser.ConvertRtfDocument(inputStream, pdfDocument);

        pdfDocument.Close();
        pdfWriter.Close();

        pdf = outputStream.ToArray();
    }

    return pdf;
}

public static MemoryStream GenerateStreamFromString(string value)
{
    return new MemoryStream(Encoding.UTF8.GetBytes(value));
}

That simply copies the text of the RTF to a PDF without any of the formatting that was in the RTF. I am using iTextSharp-LGPL which is version 4.1.6 of iTextSharp.

I personally can't find any useful documentation. iText itself isn't intuitive so I'm having a hard time even guessing about what to try.