Convert Logo to Vector

I have a logo that currently exists only as a high-resolution JPEG/PNG, and I need it redrawn as a true vector. Please replicate every line, curve, and edge so the final artwork scales perfectly without loss of quality... (Budget: $30 - $250 USD, Jobs: Adobe Creative Cloud, Adobe Illustrator, Adobe Photoshop, Graphic Design, Illustrator, Logo Design, Photoshop, Vector Design)