Create property in runtime and pass value

I found example with runtime function creating.

public static MethodInfo CreateFunction(string function)
    {
        string code = @"
        using System;

        namespace UserFunctions
        {                
            public class BinaryFunction
            {                
                public static double Function(double x, double y)
                {
                    return func_xy;
                }
            }
        }
            ";

        string finalCode = code.Replace("func_xy", function);

        CSharpCodeProvider provider = new CSharpCodeProvider();
        CompilerResults results = provider.CompileAssemblyFromSource(new CompilerParameters(), finalCode);

        Type binaryFunction = results.CompiledAssembly.GetType("UserFunctions.BinaryFunction");
        return binaryFunction.GetMethod("Function");
    }

Main:

static void Main(string[] args)
{
    MethodInfo function = CreateFunction("x + 2 * y");
    object result = function.Invoke(null, new object[] { 2, 3 });
    Console.WriteLine(result);
}

The main question is how to create property in runtime and pass value to it in Main?

public static PropertyInfo CreateProperty()
    {
        string code=@"
        private string name;

        public string Name {
            get{
                return this.name;
            }
            set{
                this.name=value;
            }
        }
        ";
        CSharpCodeProvider provider = new CSharpCodeProvider();
        CompilerResults results = provider.CompileAssemblyFromSource(new CompilerParameters(),code);
    ///
    }