How to remove time part from DateTime variable in MVC

Question

In my view I have a date field (which used for Jquery Date Picker),

@if (Model != null)
{
  if (Model.SubmitStartDate == DateTime.MinValue)
  {
    Model.SubmitStartDate = null;
  }                    
  @Html.TextBoxFor(m => m.SubmitStartDate , new { @Id = "SubmitStartDate", @readonly = "readonly", @Value = @Model.SubmitStartDate})
} 

In my Model I have :

[Required(ErrorMessage = "Please select a start date")]
[DisplayFormat(DataFormatString = "{0:d}")]
public DateTime? SubmitStartDate { get; set; }

However in UI I get 10/07/2013 00:00:00 on load , How can I remove the time part from this. Also I require date in the format "dd-mm-yy". Is it possible to achieve?

UPDATE

I edited my code as per the answers, and I got it worked as per requirement, however I got a problem.

When I use @Html.EditorFor() my readonly property will not work any more. I tried with DisplayFor too, however it doesn't make sense as I was using it for a J-query Date Picker. Is there any way I can make that field to read only?

updated Code:

@if (Model != null)
{
  if (Model.SubmitStartDate == DateTime.MinValue)
  {
    Model.SubmitStartDate = null;
  }                    
  @Html.EditorFor(m => m.SubmitStartDate , new { type = "date", @Id = "SubmitStartDate", @readonly = "readonly", @Value = @Model.SubmitStartDate})
} 

Answer 1

You are using a @Html.TextBoxFor() helper which will ignore your DisplayFormat attribute. Change it to a @Html.EditorFor() and your DisplayFormat will be applied.

And to get your format:

[DisplayFormat(ApplyFormatInEditMode = true, DataFormatString = "{0:dd-MM-yy}")]
public DateTime? SubmitStartDate { get; set; }