Sample cover letter for Internship position at Goldman Sachs

ello,

I am a math PhD and am applying for a Trainee position in trading in London. As a non-native English speaker, I would be grateful if you could give me some advice on the cover letter I drafted. From specific wording/grammar to content to "throw it in the bin because ..." I welcome all comments:

Dear Ms. XXX_Name,

[...]

My interest in trading stems from my teen years when my uncle – a fund manager at the time – turned my attention to certain characteristics of market behavior. Since then I have been investing my own money in the market and advised others on theirs. Now, your Graduate Programme is an ideal start for my long-term goal of becoming a fund manager. I am confident that XXX_Asset_Manager as a major European player provides a superb environment to learn a lot and exciting opportunities to use my skills.

[...]

Please feel free to contact me at XXX_Phone_Number or at XXX_E_Mail should you require any additional information. I look forward to speaking with you and want to thank you for your time and consideration.

Sincerely,

XXX_Name