Overloading [] in subclassed C++ string

What is the proper thing for me to return here?

char BCheckString::operator[](int index)
{
    if (index < 0 || this->length() <= index)
    {
        throw IndexOutOfBounds();
        ???Do I need to return something here???
    }
    else
    {
        return ?????;
    }
}

I tried return this[index] but VS2013 says: "no suitable conversion function from "BCheckString" to "char" exists. And I have no idea what to return after the throw.

I have:

class BCheckString : public string
{
private:
    bool checkBounds();
public:
    BCheckString(string initial_string);
    char operator[](int index);
    class IndexOutOfBounds{};
};

and

BCheckString::BCheckString(string initial_string) : string(initial_string)
{
}

char BCheckString::operator[](int index)
{
    if (index < 0 || this->length() <= index)
    {
        //throw IndexOutOfBounds();
        cout << "index out of bounds" << endl;
        return 'A';
    }
    else
    {
        return 'A';
    }
}

Obviously this is homework ;)