C# Inheritance & Casting

I get the following exception:

InvalidCastException: Unable to cast object of type 'Employee' to type 'EmployeeProfile'.

I have the following code:

    private class Employee
    {
        public string Name { get; private set; }

        public Employee()
        {
            this.Name = "employee";
        }

        public override string ToString()
        {
            return this.Name;
        }
    }

    private class EmployeeProfile : Employee
    {
        public string Profile { get; private set; }

        public EmployeeProfile() : base()
        {
            this.Profile = string.Format("{0}'s profile", this.Name);
        }

        public override string ToString()
        {
            return this.Profile;
        }
    }

    public void RunTest()
    {
        Employee emp = new Employee();
        EmployeeProfile prof = (EmployeeProfile)emp; // InvalidCastException here

        System.Console.WriteLine(emp);
        System.Console.WriteLine(prof);
    }

Maybe my brain is burned out, but I thought you can cast a subtype to its base type? What am I missing here? Maybe it is a vacation... thank you!