$url = 'http://tylium.com/en/gcc_chartdata/gethistory';
$data = array(
    'Id' => 'ASDF',
    'Symbol' => array(
        'Symbol' => 'AAPL',
        'Exchange' => 'NASDAQ'
    ),
    'Periodicity' => 'h',
    'Interval' => 1,
    'BarsCount' => 5
);

// use key 'http' even if you send the request to https://...
$options = array(
    'http' => array(
        'header'  => "Content-type: application/x-www-form-urlencoded\r\n",
        'method'  => 'POST',
        'content' => http_build_query($data),
    ),
);
$context  = stream_context_create($options);
$result = file_get_contents($url, false, $context);

var_dump($result);