I dont know what I am doing wrong but I would like to redirect the stderr output to a file?

the specific command is this

time wget http://www.something.com/somefile.bin

All I want to see is time's output which is stderr so I can see how long the file download took. I've tried redirecting stderr to a file with "2> /some/file.txt" but it does not capture anything. I also cant redirect stderr to stdout and pipe the output to another command to get the info I want

Anyone know what I am doing wrong.. or does anyone have a better way to determine how fast a machines wan connection is to a specific server?

thanks